Photo of Prof Ke Chen

Prof Ke Chen BSc, MSc, PhD, C.Math

Professor Mathematical Sciences

    Publications

    2018

    A Novel Diffeomorphic Model for Image Registration and Its Algorithm (Journal article)

    Zhang, D., & Chen, K. (n.d.). A Novel Diffeomorphic Model for Image Registration and Its Algorithm. Journal of Mathematical Imaging and Vision. doi:10.1007/s10851-018-0811-3

    DOI: 10.1007/s10851-018-0811-3

    Improved optimization methods for image registration problems (Journal article)

    Chen, K., Grapiglia, G. N., Yuan, J., & Zhang, D. (n.d.). Improved optimization methods for image registration problems. Numerical Algorithms. doi:10.1007/s11075-018-0486-2

    DOI: 10.1007/s11075-018-0486-2

    2017

    AN OPTIMIZATION-BASED MULTILEVEL ALGORITHM FOR VARIATIONAL IMAGE SEGMENTATION MODELS (Journal article)

    Jumaat, A. K., & Chen, K. (2017). AN OPTIMIZATION-BASED MULTILEVEL ALGORITHM FOR VARIATIONAL IMAGE SEGMENTATION MODELS. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 46, 474-504. Retrieved from http://gateway.webofknowledge.com/

    An Efficient Numerical Method for Mean Curvature-Based Image Registration Model (Journal article)

    Zhang, J., Chen, K., Chen, F., & Yu, B. (2017). An Efficient Numerical Method for Mean Curvature-Based Image Registration Model. EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 7(1), 125-142. doi:10.4208/eajam.200816.031216a

    DOI: 10.4208/eajam.200816.031216a

    Multi-modality Image Registration using the Decomposition Model (Conference Paper)

    Ibrahim, M., & Chen, K. (2017). Multi-modality Image Registration using the Decomposition Model. In 4TH INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES (ICMS4): MATHEMATICAL SCIENCES: CHAMPIONING THE WAY IN A PROBLEM BASED AND DATA DRIVEN SOCIETY Vol. 1830. doi:10.1063/1.4980870

    DOI: 10.1063/1.4980870

    Multiphase segmentation based on new signed pressure force functions and one level set function (Journal article)

    Ali, H., Badshah, N., Chen, K., Khan, G. A., & Zikria, N. (2017). Multiphase segmentation based on new signed pressure force functions and one level set function. TURKISH JOURNAL OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES, 25(4), 2943-2955. doi:10.3906/elk-1606-260

    DOI: 10.3906/elk-1606-260

    Unifying Framework for Decomposition Models of Parametric and Non-parametric Image Registration (Conference Paper)

    Ibrahim, M., & Chen, K. (2017). Unifying Framework for Decomposition Models of Parametric and Non-parametric Image Registration. In PROCEEDINGS OF THE 24TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM24): MATHEMATICAL SCIENCES EXPLORATION FOR THE UNIVERSAL PRESERVATION Vol. 1870. doi:10.1063/1.4995917

    DOI: 10.1063/1.4995917

    2016

    A NEW CURVATURE-BASED IMAGE REGISTRATION MODEL AND ITS FAST ALGORITHM (Journal article)

    Zhang, J., & Chen, K. (2016). A NEW CURVATURE-BASED IMAGE REGISTRATION MODEL AND ITS FAST ALGORITHM. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 13(6), 969-985. Retrieved from http://gateway.webofknowledge.com/

    A new augmented Lagrangian primal dual algorithm for elastica regularization (Journal article)

    Zhang, J., & Chen, K. (2016). A new augmented Lagrangian primal dual algorithm for elastica regularization. Journal of Algorithms & Computational Technology, 10(4), 325-338. doi:10.1177/1748301816668044

    DOI: 10.1177/1748301816668044

    A new image deconvolution method with fractional regularisation (Journal article)

    Williams, B. M., Zhang, J., & Chen, K. (2016). A new image deconvolution method with fractional regularisation. Journal of Algorithms & Computational Technology, 10(4), 265-276. doi:10.1177/1748301816660439

    DOI: 10.1177/1748301816660439

    A novel high-Order functional based image registration model with inequality constraint (Journal article)

    Zhang, J., Chen, K., & Yu, B. (2016). A novel high-Order functional based image registration model with inequality constraint. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 72(12), 2887-2899. doi:10.1016/j.camwa.2016.10.018

    DOI: 10.1016/j.camwa.2016.10.018

    Active contours textural and inhomogeneous object extraction (Journal article)

    Mahood, L., Ali, H., Badshah, N., Chen, K., & Khan, G. A. (2016). Active contours textural and inhomogeneous object extraction. PATTERN RECOGNITION, 55, 87-99. doi:10.1016/j.patcog.2016.01.021

    DOI: 10.1016/j.patcog.2016.01.021

    An effective variational model for simultaneous reconstruction and segmentation of blurred images (Journal article)

    Williams, B. M., Spencer, J. A., Chen, K., Zheng, Y., & Harding, S. (2016). An effective variational model for simultaneous reconstruction and segmentation of blurred images. Journal of Algorithms & Computational Technology, 10(4), 244-264. doi:10.1177/1748301816660406

    DOI: 10.1177/1748301816660406

    An improved discontinuity-preserving image registration model and its fast algorithm (Journal article)

    Zhang, J., Chen, K., & Yu, B. (2016). An improved discontinuity-preserving image registration model and its fast algorithm. APPLIED MATHEMATICAL MODELLING, 40(23-24), 10740-10759. doi:10.1016/j.apm.2016.08.009

    DOI: 10.1016/j.apm.2016.08.009

    An improved model for joint segmentation and registration based on linear curvature smoother (Journal article)

    Ibrahim, M., Chen, K., & Rada, L. (2016). An improved model for joint segmentation and registration based on linear curvature smoother. Journal of Algorithms & Computational Technology, 10(4), 314-324. doi:10.1177/1748301816668027

    DOI: 10.1177/1748301816668027

    Global and local segmentation of images by geometry preserving variational models and their algorithms (Conference Paper)

    Spencer, J., & Chen, K. (2016). Global and local segmentation of images by geometry preserving variational models and their algorithms. In Springer Proceedings in Mathematics and Statistics Vol. 124 (pp. 87-105). doi:10.5176/2251-1911_CMCGS14.49_9

    DOI: 10.5176/2251-1911_CMCGS14.49_9

    Image denoising using the Gaussian curvature of the image surface (Journal article)

    Brito-Loeza, C., Chen, K., & Uc-Cetina, V. (2016). Image denoising using the Gaussian curvature of the image surface. NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 32(3), 1066-1089. doi:10.1002/num.22042

    DOI: 10.1002/num.22042

    Iterative Constrained Minimization for Vectorial TV Image Deblurring (Journal article)

    Chen, K., Piccolomini, E. L., & Zama, F. (2016). Iterative Constrained Minimization for Vectorial TV Image Deblurring. JOURNAL OF MATHEMATICAL IMAGING AND VISION, 54(2), 240-255. doi:10.1007/s10851-015-0599-3

    DOI: 10.1007/s10851-015-0599-3

    Preconditioning techniques for an image deblurring problem (Journal article)

    Chen, K., Fairag, F., & Al-Mahdi, A. (2016). Preconditioning techniques for an image deblurring problem. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 23(3), 570-584. doi:10.1002/nla.2040

    DOI: 10.1002/nla.2040

    Special Issue – Mathematical Imaging (Journal article)

    Chen, K., & Lai, C. -H. (2016). Special Issue – Mathematical Imaging. Journal of Algorithms & Computational Technology, 10(4), 211-212. doi:10.1177/1748301816677896

    DOI: 10.1177/1748301816677896

    Stabilised bias field: segmentation with intensity inhomogeneity (Journal article)

    Spencer, J., & Chen, K. (2016). Stabilised bias field: segmentation with intensity inhomogeneity. Journal of Algorithms & Computational Technology, 10(4), 302-313. doi:10.1177/1748301816668025

    DOI: 10.1177/1748301816668025

    2015

    A CONVEX AND SELECTIVE VARIATIONAL MODEL FOR IMAGE SEGMENTATION (Journal article)

    Spencer, J., & Chen, K. (2015). A CONVEX AND SELECTIVE VARIATIONAL MODEL FOR IMAGE SEGMENTATION. COMMUNICATIONS IN MATHEMATICAL SCIENCES, 13(6), 1453-1472. doi:10.4310/CMS.2015.v13.n6.a5

    DOI: 10.4310/CMS.2015.v13.n6.a5

    A New Method of Blind Deconvolution for Colour Fundus Retinal Images (Conference Paper)

    Williams, B. M., Chen, K., Harding, S., & Zheng, Y. (2015). A New Method of Blind Deconvolution for Colour Fundus Retinal Images. In 2nd MICCAI Workshop on Ophthalmic Image Analysis (OMIA-2).

    A New Study of Blind Deconvolution with Implicit Incorporation of Nonnegativity Constraints (Journal article)

    Chen, K., Harding, S. P., Williams, B. M., & Zheng, Y. (2015). A New Study of Blind Deconvolution with Implicit Incorporation of Nonnegativity Constraints. International Journal of Computational Mathematics, 2015, 1-17. doi:10.1155/2015/860263

    DOI: 10.1155/2015/860263

    A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution (Journal article)

    Zhang, J., & Chen, K. (2015). A Total Fractional-Order Variation Model for Image Restoration with Nonhomogeneous Boundary Conditions and Its Numerical Solution. SIAM JOURNAL ON IMAGING SCIENCES, 8(4), 2487-2518. doi:10.1137/14097121X

    DOI: 10.1137/14097121X

    A fast algorithm for automatic segmentation and extraction of a single object by active surfaces (Journal article)

    Zhang, J., Chen, K., & Gould, D. A. (2015). A fast algorithm for automatic segmentation and extraction of a single object by active surfaces. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 92(6), 1251-1274. doi:10.1080/00207160.2014.931943

    DOI: 10.1080/00207160.2014.931943

    A new constrained total variational deblurring model and its fast algorithm (Journal article)

    Williams, B. M., Chen, K., & Harding, S. P. (2015). A new constrained total variational deblurring model and its fast algorithm. NUMERICAL ALGORITHMS, 69(2), 415-441. doi:10.1007/s11075-014-9904-2

    DOI: 10.1007/s11075-014-9904-2

    A variational model with hybrid images data fitting energies for segmentation of images with intensity inhomogeneity (Journal article)

    Ali, H., Badshah, N., Chen, K., & Khan, G. A. (2016). A variational model with hybrid images data fitting energies for segmentation of images with intensity inhomogeneity. PATTERN RECOGNITION, 51, 27-42. doi:10.1016/j.patcog.2015.08.022

    DOI: 10.1016/j.patcog.2015.08.022

    Advanced methods in variational learning: Segmentation with intensity inhomogeneity (Chapter)

    Spencer, J., & Chen, K. (2015). Advanced methods in variational learning: Segmentation with intensity inhomogeneity. In Mathematical Problems in Data Science: Theoretical and Practical Methods (pp. 171-187). doi:10.1007/978-3-319-25127-1_10

    DOI: 10.1007/978-3-319-25127-1_10

    An iterative algorithm for L1-TV constrained regularization in image restoration. (Conference Paper)

    Chen, K., Piccolomini, E. L., Zama, F., & IOP. (2015). An iterative algorithm for L1-TV constrained regularization in image restoration.. In 5TH INTERNATIONAL WORKSHOP ON NEW COMPUTATIONAL METHODS FOR INVERSE PROBLEMS (NCMIP2015) Vol. 657. doi:10.1088/1742-6596/657/1/012009

    DOI: 10.1088/1742-6596/657/1/012009

    Automated Vessel Segmentation Using Infinite Perimeter Active Contour Model with Hybrid Region Information with Application to Retinal Images (Journal article)

    Zhao, Y., Rada, L., Chen, K., Harding, S. P., & Zheng, Y. (2015). Automated Vessel Segmentation Using Infinite Perimeter Active Contour Model with Hybrid Region Information with Application to Retinal Images. IEEE TRANSACTIONS ON MEDICAL IMAGING, 34(9), 1797-1807. doi:10.1109/TMI.2015.2409024

    DOI: 10.1109/TMI.2015.2409024

    Mathematical Modeling and Analysis of Soft Computing (Journal article)

    Ding, S., Shi, Z., Chen, K., & Azar, A. T. (2015). Mathematical Modeling and Analysis of Soft Computing. MATHEMATICAL PROBLEMS IN ENGINEERING. doi:10.1155/2015/578321

    DOI: 10.1155/2015/578321

    On some refined variational models for restoration of blurred images (Presentation material)

    Chen, K., Williams, B. M., & Zhang, J. (2015). On some refined variational models for restoration of blurred images. International Congress on Industrial and Applied Mathematics (ICIAM).

    Retinal Fundus Image Deconvolution (Poster)

    Williams, B. M., Zheng, Y., Chen, K., & Harding, S. (2015). Retinal Fundus Image Deconvolution. Poster session presented at the meeting of Mathematical Imaging with Biomedical Applications Workshop. CMIT, University of Liverpool.

    Variational image registration by a total fractional-order variation model (Journal article)

    Zhang, J., & Chen, K. (2015). Variational image registration by a total fractional-order variation model. JOURNAL OF COMPUTATIONAL PHYSICS, 293, 442-461. doi:10.1016/j.jcp.2015.02.021

    DOI: 10.1016/j.jcp.2015.02.021

    2014

    A LOCAL INFORMATION BASED VARIATIONAL MODEL FOR SELECTIVE IMAGE SEGMENTATION (Journal article)

    Zhang, J., Chen, K., Yu, B., & Gould, D. A. (2014). A LOCAL INFORMATION BASED VARIATIONAL MODEL FOR SELECTIVE IMAGE SEGMENTATION. INVERSE PROBLEMS AND IMAGING, 8(1), 293-320. doi:10.3934/ipi.2014.8.293

    DOI: 10.3934/ipi.2014.8.293

    A new iterative algorithm for mean curvature-based variational image denoising (Journal article)

    Sun, L., & Chen, K. (2014). A new iterative algorithm for mean curvature-based variational image denoising. BIT NUMERICAL MATHEMATICS, 54(2), 523-553. doi:10.1007/s10543-013-0448-y

    DOI: 10.1007/s10543-013-0448-y

    A novel variational model for image registration using Gaussian curvature (Journal article)

    Ibrahim, M., Chen, K., & Brito-Loeza, C. (n.d.). A novel variational model for image registration using Gaussian curvature. Retrieved from http://arxiv.org/abs/1504.07643v1

    A relaxed fixed point method for a mean curvature-based denoising model (Journal article)

    Yang, F., Chen, K., Yu, B., & Fang, D. (2014). A relaxed fixed point method for a mean curvature-based denoising model. Optimization Methods and Software, 29(2), 274-285. doi:10.1080/10556788.2013.788650

    DOI: 10.1080/10556788.2013.788650

    A restarted iterative homotopy analysis method for two nonlinear models from image processing (Journal article)

    Ghanbari, B., Rada, L., & Chen, K. (2014). A restarted iterative homotopy analysis method for two nonlinear models from image processing. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 91(3), 661-687. doi:10.1080/00207160.2013.807340

    DOI: 10.1080/00207160.2013.807340

    A variational model and its numerical solution for local, selective and automatic segmentation (Journal article)

    Rada, L., & Chen, K. (2014). A variational model and its numerical solution for local, selective and automatic segmentation. NUMERICAL ALGORITHMS, 66(2), 399-430. doi:10.1007/s11075-013-9741-8

    DOI: 10.1007/s11075-013-9741-8

    An automatic regularization parameter selection algorithm in the total variation model for image deblurring (Journal article)

    Chen, K., Piccolomini, E. L., & Zama, F. (2014). An automatic regularization parameter selection algorithm in the total variation model for image deblurring. NUMERICAL ALGORITHMS, 67(1), 73-92. doi:10.1007/s11075-013-9775-y

    DOI: 10.1007/s11075-013-9775-y

    Image Deconvolution Techniques (Poster)

    Williams, B. M., & Chen, K. (2014). Image Deconvolution Techniques. Poster session presented at the meeting of LMS Inverse Problems Meeting - Tomographic Reconstructions from Boundadry Data. University of Leeds.

    2013

    A finite element formulation of the total variation method for denoising a set of data (Chapter)

    Harris, P. J., & Chen, K. (2013). A finite element formulation of the total variation method for denoising a set of data. In Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques (pp. 175-182). doi:10.1007/978-1-4614-7828-7_12

    DOI: 10.1007/978-1-4614-7828-7_12

    A general model for multiphase texture segmentation and its applications to retinal image analysis (Journal article)

    Zheng, Y., & Chen, K. (2013). A general model for multiphase texture segmentation and its applications to retinal image analysis. BIOMEDICAL SIGNAL PROCESSING AND CONTROL, 8(4), 374-381. doi:10.1016/j.bspc.2013.02.004

    DOI: 10.1016/j.bspc.2013.02.004

    A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation (Journal article)

    Chumchob, N., Chen, K., & Brito-Loeza, C. (2013). A new variational model for removal of combined additive and multiplicative noise and a fast algorithm for its numerical approximation. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 90(1), 140-161. doi:10.1080/00207160.2012.709625

    DOI: 10.1080/00207160.2012.709625

    A relaxed fixed point method for a mean curvature-based denoising model (Journal article)

    Yang, F., Chen, K., Yu, B., & Fang, D. (2014). A relaxed fixed point method for a mean curvature-based denoising model. OPTIMIZATION METHODS & SOFTWARE, 29(2), 274-285. doi:10.1080/10556788.2013.788650

    DOI: 10.1080/10556788.2013.788650

    Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing (Journal article)

    Brito-Loeza, C., & Chen, K. (2013). Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 90(1), 92-108. doi:10.1080/00207160.2012.720370

    DOI: 10.1080/00207160.2012.720370

    Introduction to variational image-processing models and applications (Journal article)

    Chen, K. (2013). Introduction to variational image-processing models and applications. International Journal of Computer Mathematics, 90(1), 1-8. doi:10.1080/00207160.2012.757073

    DOI: 10.1080/00207160.2012.757073

    Mathematical deblurring of images for non-blind and blind restoration (Conference Paper)

    Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2013). Mathematical deblurring of images for non-blind and blind restoration. In 25th Biennial Numerical Analysis Conference. University of Strathclyde.

    On a Variational Model for Selective Image Segmentation of Features with Infinite Perimete (Journal article)

    Rada, L., & Chen, K. (2013). On a Variational Model for Selective Image Segmentation of Features with Infinite Perimete. Journal of Mathematical Research with Applications, 33(3), 253-272. doi:10.3770/j.issn:2095-2651.2013.03.001

    DOI: 10.3770/j.issn:2095-2651.2013.03.001

    2012

    A 3D multi-grid algorithm for the Chan-Vese model of variational image segmentation (Journal article)

    Zhang, J., Chen, K., & Yu, B. (2012). A 3D multi-grid algorithm for the Chan-Vese model of variational image segmentation. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 89(2), 160-189. doi:10.1080/00207160.2011.632410

    DOI: 10.1080/00207160.2011.632410

    A Hierarchical Algorithm for Multiphase Texture Image Segmentation (Journal article)

    Zheng, Y., & Chen, K. (2012). A Hierarchical Algorithm for Multiphase Texture Image Segmentation. ISRN Signal Processing, 2012, 1-11. doi:10.5402/2012/781653

    DOI: 10.5402/2012/781653

    A Multigrid Algorithm for the 3D Chan-Vese Model of Variational Image Segmentation (Journal article)

    Zhang, J. P., Chen, K., & Yu, B. (2012). A Multigrid Algorithm for the 3D Chan-Vese Model of Variational Image Segmentation. International Journal of Computer Mathematics, 89(2), 160-189. doi:10.1080/00207160.2012.649131

    DOI: 10.1080/00207160.2012.649131

    A New Variational Model with Dual Level Set Functions for Selective Segmentation (Journal article)

    Rada, L., & Chen, K. (2012). A New Variational Model with Dual Level Set Functions for Selective Segmentation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(1), 261-283. doi:10.4208/cicp.190111.210611a

    DOI: 10.4208/cicp.190111.210611a

    A Restarted Iterative Homotopy Analysis Method for Three-dimensional Image Segmentation (Chapter)

    Rada, L., Chen, K., & Ghanbari, B. (2012). A Restarted Iterative Homotopy Analysis Method for Three-dimensional Image Segmentation. In Unknown Book (pp. 178-185). Retrieved from http://gateway.webofknowledge.com/

    A blind deconvolution model for images corrupted by gaussian blur (Conference Paper)

    Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). A blind deconvolution model for images corrupted by gaussian blur. In Essex-Greenwich-Hertfordshire Workshop on Applied and Numerical Mathematics - Multiscale Problems. University of Greenwich.

    AN ITERATIVE LAGRANGE MULTIPLIER METHOD FOR CONSTRAINED TOTAL-VARIATION-BASED IMAGE DENOISING (Journal article)

    Zhang, J., Chen, K., & Yu, B. (2012). AN ITERATIVE LAGRANGE MULTIPLIER METHOD FOR CONSTRAINED TOTAL-VARIATION-BASED IMAGE DENOISING. SIAM JOURNAL ON NUMERICAL ANALYSIS, 50(3), 983-1003. doi:10.1137/110829209

    DOI: 10.1137/110829209

    Advanced blur removal methods with applications to retinal imaging for ophthalmology (Conference Paper)

    Williams, B. M., chen, K., zheng, Y., & Harding, S. (2012, July 9). Advanced blur removal methods with applications to retinal imaging for ophthalmology. In Medical Image Understanding and Analysis. Swansea University.

    Advanced mathematical methods for medical image enhancement (Presentation material)

    Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). Advanced mathematical methods for medical image enhancement. University of Liverpool.

    Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours (Journal article)

    Badshah, N., Chen, K., Ali, H., & Murtaza, G. (2012). Coefficient of Variation Based Image Selective Segmentation Model Using Active Contours. East Asian Journal on Applied Mathematics, 2(02), 150-169. doi:10.4208/eajam.090312.080412a

    DOI: 10.4208/eajam.090312.080412a

    EFFICIENT HOMOTOPY SOLUTION AND A CONVEX COMBINATION OF ROF AND LLT MODELS FOR IMAGE RESTORATION (Journal article)

    Yang, F., Chen, K., & Yu, B. (2012). EFFICIENT HOMOTOPY SOLUTION AND A CONVEX COMBINATION OF ROF AND LLT MODELS FOR IMAGE RESTORATION. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 9(4), 907-927. Retrieved from http://gateway.webofknowledge.com/

    HOMOTOPY CURVE TRACKING FOR TOTAL VARIATION IMAGE RESTORATION (Journal article)

    Yang, F., Chen, K., & Yu, B. (2012). HOMOTOPY CURVE TRACKING FOR TOTAL VARIATION IMAGE RESTORATION. JOURNAL OF COMPUTATIONAL MATHEMATICS, 30(2), 177-196. doi:10.4208/jcm.1107-m3423

    DOI: 10.4208/jcm.1107-m3423

    Homotopy Method for Image Restoration Combining Total Variation Minimization and a Second-Order Functional (Journal article)

    Yang, F. L., Chen, K., & Yu, B. (2012). Homotopy Method for Image Restoration Combining Total Variation Minimization and a Second-Order Functional. International Journal of Numerical Analysis and Modeling, 9(4), 831-851. Retrieved from http://www.math.ualberta.ca/ijnam/Volume-9-2012/No-4-12/2012-04-08.pdf

    Homotopy method for a mean curvature-based denoising model (Journal article)

    Yang, F., Chen, K., & Yu, B. (2012). Homotopy method for a mean curvature-based denoising model. Applied Numerical Mathematics, 62(3), 185-200. doi:10.1016/j.apnum.2011.12.001

    DOI: 10.1016/j.apnum.2011.12.001

    Improved variational image registration model and a fast algorithm for its numerical approximation (Journal article)

    Chumchob, N., & Chen, K. (2012). Improved variational image registration model and a fast algorithm for its numerical approximation. Numerical Methods for Partial Differential Equations, 28(6), 1966-1995. doi:10.1002/num.20710

    DOI: 10.1002/num.20710

    Mathematical methods for blind image deblurring (Conference Paper)

    Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2012). Mathematical methods for blind image deblurring. In DITANET Symposium: Quantum Systems and Research(ers) at Accelerators.

    Selective variational image segmentation combined with registration: Models and algorithms (Chapter)

    Chen, K. (2012). Selective variational image segmentation combined with registration: Models and algorithms. In K. Djemal, & M. Deriche (Eds.), Proceedings of Image Processing Theory, Tools and Applications (IPTA), 2012 (pp. 5-8). ieee.org: IEEE. doi:10.1109/IPTA.2012.6469481

    DOI: 10.1109/IPTA.2012.6469481

    2011

    A FOURTH-ORDER VARIATIONAL IMAGE REGISTRATION MODEL AND ITS FAST MULTIGRID ALGORITHM (Journal article)

    Chumchob, N., Chen, K., & Brito-Loeza, C. (2011). A FOURTH-ORDER VARIATIONAL IMAGE REGISTRATION MODEL AND ITS FAST MULTIGRID ALGORITHM. MULTISCALE MODELING & SIMULATION, 9(1), 89-128. doi:10.1137/100788239

    DOI: 10.1137/100788239

    A NONLINEAR MULTIGRID SOLVER WITH LINE GAUSS-SEIDEL-SEMISMOOTH-NEWTON SMOOTHER FOR THE FENCHEL PRE-DUAL IN TOTAL VARIATION BASED IMAGE RESTORATION (Journal article)

    Chen, K., Dong, Y., & Hintermueller, M. (2011). A NONLINEAR MULTIGRID SOLVER WITH LINE GAUSS-SEIDEL-SEMISMOOTH-NEWTON SMOOTHER FOR THE FENCHEL PRE-DUAL IN TOTAL VARIATION BASED IMAGE RESTORATION. INVERSE PROBLEMS AND IMAGING, 5(2), 323-339. doi:10.3934/ipi.2011.5.323

    DOI: 10.3934/ipi.2011.5.323

    A robust multigrid approach for variational image registration models (Journal article)

    Chumchob, N., & Chen, K. (2011). A robust multigrid approach for variational image registration models. Journal of Computational and Applied Mathematics, 236(5), 653-674. doi:10.1016/j.cam.2011.06.026

    DOI: 10.1016/j.cam.2011.06.026

    Efficient iterative methods for fast solution of integral operators related problems (Chapter)

    Chen, K. (2011). Efficient iterative methods for fast solution of integral operators related problems. In Unknown Book (pp. 79-90). doi:10.1007/978-0-8176-8238-5-9

    DOI: 10.1007/978-0-8176-8238-5-9

    Mathematical methods and algorithms for restoring retinal images with blur and blind blur (Conference Paper)

    Williams, B. M., Chen, K., Zheng, Y., & Harding, S. P. (2011). Mathematical methods and algorithms for restoring retinal images with blur and blind blur. In Ophthalmology Image Analysis Workshop. University of Liverpool.

    2010

    A MULTILEVEL ALGORITHM FOR SIMULTANEOUSLY DENOISING AND DEBLURRING IMAGES (Journal article)

    Chan, R. H., & Chen, K. (2010). A MULTILEVEL ALGORITHM FOR SIMULTANEOUSLY DENOISING AND DEBLURRING IMAGES. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 32(2), 1043-1063. doi:10.1137/080741410

    DOI: 10.1137/080741410

    A Variational Approach for Discontinuity-Preserving Image Registration (Journal article)

    Chumchob, N., & Chen, K. (2010). A Variational Approach for Discontinuity-Preserving Image Registration. East-West Journal of Mathematics, 2010, 266-282.

    A parallel implementation of overlapping Schwarz method for the dual reciprocity method (Journal article)

    Chen, K., & Shanazari, K. (2010). A parallel implementation of overlapping Schwarz method for the dual reciprocity method. APPLIED MATHEMATICS AND COMPUTATION, 216(11), 3355-3364. doi:10.1016/j.amc.2010.04.063

    DOI: 10.1016/j.amc.2010.04.063

    Image selective segmentation under geometrical constraints using an active contour approach (Journal article)

    Badshah, N., & Chen, K. (2009). Image selective segmentation under geometrical constraints using an active contour approach. Communications in Computational Physics. doi:10.4208/cicp.2009.09.026

    DOI: 10.4208/cicp.2009.09.026

    International Journal of Modern Mathematics (Journal article)

    Brito, C., & Chen, K. (2010). International Journal of Modern Mathematics. Fast Numerical Algorithms for Euler's Elastica Inpainting Model, 5(2), 157-182.

    Multigrid Algorithm for High Order Denoising (Journal article)

    Brito-Loeza, C., & Chen, K. (2010). Multigrid Algorithm for High Order Denoising. SIAM JOURNAL ON IMAGING SCIENCES, 3(3), 363-389. doi:10.1137/080737903

    DOI: 10.1137/080737903

    On high-order denoising models and fast algorithms for vector-valued images. (Journal article)

    Brito-Loeza, C., & Chen, K. (2010). On high-order denoising models and fast algorithms for vector-valued images.. IEEE transactions on image processing : a publication of the IEEE Signal Processing Society, 19(6), 1518-1527. doi:10.1109/tip.2010.2042655

    DOI: 10.1109/tip.2010.2042655

    2009

    A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem (Journal article)

    Chen, K., Cheng, J., & Harris, P. J. (2009). A new study of the Burton and Miller method for the solution of a 3D Helmholtz problem. IMA JOURNAL OF APPLIED MATHEMATICS, 74(2), 163-177. doi:10.1093/imamat/hxp002

    DOI: 10.1093/imamat/hxp002

    A robust affine image registration method (Journal article)

    Chumchob, N., & Chen, K. (2009). A robust affine image registration method. International Journal of Numerical Analysis and Modeling, 6(2), 311-334.

    An efficient method for evaluating the integral of a class of highly oscillatory functions (Journal article)

    Harris, P. J., & Chen, K. (2009). An efficient method for evaluating the integral of a class of highly oscillatory functions. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 230(2), 433-442. doi:10.1016/j.cam.2008.12.026

    DOI: 10.1016/j.cam.2008.12.026

    On Two Multigrid Algorithms for Modeling Variational Multiphase Image Segmentation (Journal article)

    Badshah, N., & Ke Chen. (2009). On Two Multigrid Algorithms for Modeling Variational Multiphase Image Segmentation. IEEE Transactions on Image Processing, 18(5), 1097-1106. doi:10.1109/TIP.2009.2014260

    DOI: 10.1109/TIP.2009.2014260

    Synetic superimposition of dental 3D data: Application in Twin Studies (Chapter)

    Smith, R. N., Townsend, G., Chen, K., & Brook, A. H. (2009). Synetic superimposition of dental 3D data: Application in Twin Studies. In FRONTIERS OF ORAL BIOLOGY (Vol. 13, pp. 142-147). Greifswald: Karger AG, Basel.

    2008

    Fast multilevel algorithm for a minimization problem in impulse noise removal (Journal article)

    Chan, R. H., & Chen, K. (2008). Fast multilevel algorithm for a minimization problem in impulse noise removal. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 30(3), 1474-1489. doi:10.1137/060654931

    DOI: 10.1137/060654931

    Multigrid method for a modified curvature driven diffusion model for image inpainting (Journal article)

    Brito-Loeza, C., & Chen, K. (2008). Multigrid method for a modified curvature driven diffusion model for image inpainting. Journal of Computational Mathematics, 26(6), 856-875.

    Multigrid method for the Chan-Vese model in variational segmentation (Journal article)

    Badshah, N., & Chen, K. (2008). Multigrid method for the Chan-Vese model in variational segmentation. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 4(2), 294-316. Retrieved from http://gateway.webofknowledge.com/

    Novel algorithms based on test function for tracing Hopf bifurcation and analysis of power system voltage stability index (Journal article)

    Wang, Q., & Ke, C. (2008). Novel algorithms based on test function for tracing Hopf bifurcation and analysis of power system voltage stability index. Diangong Jishu Xuebao/Transactions of China Electrotechnical Society, 23(1), 120-128.

    2007

    A nonlinear multigrid method for total variation minimization from image restoration (Journal article)

    Chen, K., & Tai, X. -C. (2007). A nonlinear multigrid method for total variation minimization from image restoration. JOURNAL OF SCIENTIFIC COMPUTING, 33(2), 115-138. doi:10.1007/s10915-007-9145-9

    DOI: 10.1007/s10915-007-9145-9

    A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method (Journal article)

    Shanazari, K., & Chen, K. (2007). A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method. Applied Numer. Math. (submitted). Retrieved from http://www.elsevier.com/

    An accelerated algebraic multigrid algorithm for total-variation denoising (Journal article)

    Chen, K., & Savage, J. (2007). An accelerated algebraic multigrid algorithm for total-variation denoising. BIT NUMERICAL MATHEMATICS, 47(2), 277-296. doi:10.1007/s10543-007-0123-2

    DOI: 10.1007/s10543-007-0123-2

    An efficient method for evaluating the integral of a class of highly oscillatory functions (Conference Paper)

    Harris, P. J., & Chen, K. (2007). An efficient method for evaluating the integral of a class of highly oscillatory functions. In J. Trevelyan (Ed.), 6th UK Conf. on Boundary Integral Methods (pp. 31-40). Durham: Durham University Press.

    Efficient parallelization of the iterative solution of a coupled fluid–structure interaction problem (Journal article)

    Hughes, M. D., & Chen, K. (2007). Efficient parallelization of the iterative solution of a coupled fluid–structure interaction problem. Concurrency and Computation: Practice and Experience, 19(10), 1423-1445. doi:10.1002/cpe.1183

    DOI: 10.1002/cpe.1183

    Fast iterative and preconditioning methods for linear and non-linear systems (Journal article)

    Chen, K. (2007). Fast iterative and preconditioning methods for linear and non-linear systems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 84(8), 1115. doi:10.1080/00207160701356399

    DOI: 10.1080/00207160701356399

    Iterative methods for solving the dual formulation arising from image restoration (Journal article)

    Chan, T. F., Chen, K., & Carter, J. L. (2007). Iterative methods for solving the dual formulation arising from image restoration. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS, 26, 299-311. Retrieved from http://gateway.webofknowledge.com/

    Multilevel algorithm for a Poisson noise removal model with total-variation regularization (Journal article)

    Chan, R. H., & Chen, K. (2007). Multilevel algorithm for a Poisson noise removal model with total-variation regularization. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 84(8), 1183-1198. doi:10.1080/00207160701450390

    DOI: 10.1080/00207160701450390

    On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation (Journal article)

    Hawkins, S. H., Chen, K., & Harris, P. J. (2007). On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation. International Journal of Numerical Analysis and Modeling, 1-20. Retrieved from http://www.math.ualberta.ca/ijnam/contents.htm

    On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation (Journal article)

    Hawkins, S. C., Chen, K., & Harris, P. J. (2007). On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation. International Journal of Numerical Analysis and Modeling, 4(1), 48-62.

    2006

    A two-level sparse approximate inverse preconditioner for unsymmetric matrices (Journal article)

    Chen, K., & Hughes, M. D. (2006). A two-level sparse approximate inverse preconditioner for unsymmetric matrices. IMA JOURNAL OF NUMERICAL ANALYSIS, 26(1), 11-24. doi:10.1093/imanum/dri031

    DOI: 10.1093/imanum/dri031

    A two-level sparse approximate inverse preconditioner for unsymmetric matrices (Journal article)

    Chen, K., & Hughes, M. D. (2006). A two-level sparse approximate inverse preconditioner for unsymmetric matrices. IMA Journal of Numerical Analysis, 26(5), 11-24.

    An optimization-based multilevel algorithm for total variation image denoising (Journal article)

    Chan, T. F., & Chen, K. E. (2006). An optimization-based multilevel algorithm for total variation image denoising. MULTISCALE MODELING & SIMULATION, 5(2), 615-645. doi:10.1137/050644999

    DOI: 10.1137/050644999

    Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem (Chapter)

    Chan, T. F., Chen, K., & Tai, X. -C. (2006). Nonlinear Multilevel Schemes for Solving the Total Variation Image Minimization Problem. In X. -C. Tai, K. -A. Lie, T. F. Chan, & S. Osher (Eds.), Image Processing Based On Partial Differential Equations (Vol. 1, pp. 265-288). Berlin: Springer-Verlag. Retrieved from http://www.springer.com/

    On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation (Journal article)

    Chan, T. F., & Chen, K. (2006). On a nonlinear multigrid algorithm with primal relaxation for the image total variation minimisation. NUMERICAL ALGORITHMS, 41(4), 387-411. doi:10.1007/s11075-006-9020-z

    DOI: 10.1007/s11075-006-9020-z

    On multigrids for solving a class of improved total variation based PDE models (Chapter)

    Savage, J., Chen, K., & al, E. (2006). On multigrids for solving a class of improved total variation based PDE models. In Proceedings of the 1st PDE-based image processingc conf. (Vol. 1, pp. 69-94). Berlin: Springer-Verlag.

    2005

    A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method (Journal article)

    Shanazari, K., & Chen, K. (2005). A parallel implementation of the overlapping Schwarz method for the Dual Reciprocity method. Journal of Computational and Applied Mathematics (Submitted), 20 pages. Retrieved from http://www.sciencedirect.com/science/journal/03770427

    A parallel non-overlapping domain decomposition dual reciprocity method. (Conference Paper)

    Shanazari, K., & Chen, K. (2005). A parallel non-overlapping domain decomposition dual reciprocity method.. In K. Chen (Ed.), 5th UK Confernece on Boundary Integral Methods Vol. 5 (pp. 100-105). Liverpool: Liverpool University.

    AN OPERATOR SPLITTING PRECONDITIONER FOR MATRICES ARISING FROM A WAVELET BOUNDARY ELEMENT METHOD FOR THE HELMHOLTZ EQUATION (Journal article)

    HAWKINS, S. C., CHEN, K., & HARRIS, P. J. (2005). AN OPERATOR SPLITTING PRECONDITIONER FOR MATRICES ARISING FROM A WAVELET BOUNDARY ELEMENT METHOD FOR THE HELMHOLTZ EQUATION. International Journal of Wavelets, Multiresolution and Information Processing, 03(04), 601-620. doi:10.1142/S0219691305001044

    DOI: 10.1142/S0219691305001044

    Advances in Boundary Integral Methods (Conference Paper)

    Chen, K. (Ed.) (2005). Advances in Boundary Integral Methods. In The 5th UK conference on boundary integral methods (pp. vi 267). Liverpool: Liverpool University.

    An implicit wavelet sparse approximate inverse preconditioner (Journal article)

    Hawkins, S. C., & Chen, K. (2005). An implicit wavelet sparse approximate inverse preconditioner. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 27(2), 667-686. doi:10.1137/S1064827503423500

    DOI: 10.1137/S1064827503423500

    An improved and accelerated non-linear multigrid method for total-variation denoising (Journal article)

    Savage, J., & Chen, K. (2005). An improved and accelerated non-linear multigrid method for total-variation denoising. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 82(8), 1001-1015. doi:10.1080/00207160500069904

    DOI: 10.1080/00207160500069904

    Matrix Preconditioning Techniques and Applications (Book)

    Chen, K. (2005). Matrix Preconditioning Techniques and Applications (Vol. 19). M. J. Ablowitz, S. H. Davis, E. J. Hinch, A. Iserles, J. Ockendon, & P. J. Olver (Eds.), Cambridge (528 pages): SIAM publications. doi:10.2277/0521838282

    DOI: 10.2277/0521838282

    On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation (Journal article)

    Chan, T. F., & Chen, K. (2005). On a Nonlinear Multigrid Algorithm with Primal Relaxation for the Image Total Variation Minimisation. UCLA CAM Report 05-68, 2005, 1-20. Retrieved from ftp://ftp.math.ucla.edu/pub/camreport/cam05-68.pdf

    On a multigrid method for an inverse problem from modelling image deblurring (Conference Paper)

    Chen, K., & Savage, J. (2005). On a multigrid method for an inverse problem from modelling image deblurring. In K. Chen (Ed.), 5th UK conference on boundary integral methods (pp. 229-241). Liverpool: Liverpool University.

    Some Results and observations on Solving High Frequency Acoustic Radiation Problems (Conference Paper)

    Harris, P. J., & Chen, K. (2005). Some Results and observations on Solving High Frequency Acoustic Radiation Problems. In K. Chen (Ed.), 5th UK conference on boundary integral methods (pp. 12-19). Liverpool: Liverpool University.

    2004

    An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem (Journal article)

    Hughes, M. D., & Chen, K. (2004). An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 81(5), 583-594. doi:10.1080/00207160410001660808

    DOI: 10.1080/00207160410001660808

    Fast computational methods for locating fold points for the power flow equations (Journal article)

    Hussein, A., & Chen, K. (2004). Fast computational methods for locating fold points for the power flow equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 164, 419-430. doi:10.1016/S0377-0427(03)00651-4

    DOI: 10.1016/S0377-0427(03)00651-4

    New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries (Journal article)

    Hawkins*, S. C., & Chen, K. (2004). New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries. International Journal of Computer Mathematics, 81(3), 353-360. doi:10.1080/00207160410001661348

    DOI: 10.1080/00207160410001661348

    2003

    A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method (Journal article)

    Shanazari, K., & Chen, K. (2003). A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method. NUMERICAL ALGORITHMS, 32(2-4), 275-286. doi:10.1023/A:1024027723984

    DOI: 10.1023/A:1024027723984

    A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method (Journal article)

    Shanazari, K., & Chen, K. (2003). A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method. Numerical Algorithms, 32(1), 275-286.

    A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems (Journal article)

    Chen, K., Hussein, A., Bradley, M. E., & Wan, H. (2003). A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems. IEEE TRANSACTIONS ON POWER SYSTEMS, 18(2), 753-760. doi:10.1109/TPWRS.2003.811203

    DOI: 10.1109/TPWRS.2003.811203

    An overlapping domain decomposition dual reciprocity method (Journal article)

    Shanazari, K., & Chen, K. (2003). An overlapping domain decomposition dual reciprocity method. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 27(10), 945-953. doi:10.1016/S0955-7997(03)00072-9

    DOI: 10.1016/S0955-7997(03)00072-9

    Effective sparse preconditioners of the two-level deflation type for fast solution of the Helmholtz equation and related problems (Conference Paper)

    Chen, K., Hawkins, S. C., & Hughes, M. D. (2003). Effective sparse preconditioners of the two-level deflation type for fast solution of the Helmholtz equation and related problems. In S. Amini (Ed.), Fourth UK Conference on Boundary Integral Methods (pp. 147-156). Salford: Salford University.

    Fast iterative solution of coupled 3-dimensional fluid-structure interaction problems (Conference Paper)

    Hughes, M. D., & Chen, K. (2003). Fast iterative solution of coupled 3-dimensional fluid-structure interaction problems. In A. B. Movchan, & G. M. L. Gladwell (Eds.), IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics Vol. 113 (pp. 595-604). Liverpool: Kluwer Academic Publishers.

    Flexible parallelization of fast wavelet transforms (Journal article)

    Ford*, J. M., Chen, K., & Ford‡, N. J. (2003). Flexible parallelization of fast wavelet transforms. Parallel Algorithms and Applications, 18(4), 155-169. doi:10.1080/10637190310001633637

    DOI: 10.1080/10637190310001633637

    ON EFFICIENT METHODS FOR DETECTING HOPF BIFURCATION WITH APPLICATIONS TO POWER SYSTEM INSTABILITY PREDICTION (Journal article)

    HUSSEIN, A., & CHEN, K. (2003). ON EFFICIENT METHODS FOR DETECTING HOPF BIFURCATION WITH APPLICATIONS TO POWER SYSTEM INSTABILITY PREDICTION. International Journal of Bifurcation and Chaos, 13(05), 1247-1262. doi:10.1142/S0218127403007163

    DOI: 10.1142/S0218127403007163

    On a recursive schur preconditioner for iterative solution of a class of dense matrix problems (Journal article)

    Ford, J. M., Chen, K., & Evans, D. (2003). On a recursive schur preconditioner for iterative solution of a class of dense matrix problems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 80(1), 105-122. doi:10.1080/00207160290031739

    DOI: 10.1080/00207160304659

    On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem (Journal article)

    Harris, P. J., & Chen, K. (2003). On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three-dimensional exterior Helmholtz problem. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 156(2), 303-318. doi:10.1016/S0377-0427(02)00918-4

    DOI: 10.1016/S0377-0427(02)00918-4

    2002

    On Two Variants of an Algebraic Wavelet Preconditioner (Journal article)

    Chan, T. F., & Chen, K. (2002). On Two Variants of an Algebraic Wavelet Preconditioner. SIAM Journal on Scientific Computing, 24(1), 260-283. doi:10.1137/S1064827501391436

    DOI: 10.1137/S1064827501391436

    On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations (Journal article)

    Chen, K., Hussein, A., & Wan, H. B. (2002). On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 140(1-2), 119-141. doi:10.1016/S0377-0427(01)00402-2

    DOI: 10.1016/S0377-0427(01)00402-2

    On adapting test function methods for fast detection of fold bifurcations in power systems (Journal article)

    Hussein, A., Chen, K., & Wan, H. B. (2002). On adapting test function methods for fast detection of fold bifurcations in power systems. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 12(1), 179-185. doi:10.1142/S0218127402004255

    DOI: 10.1142/S0218127402004255

    Parallel algorithms of the Purcell method for direct solution of linear systems (Journal article)

    Chen, K., & Lai, C. H. (2002). Parallel algorithms of the Purcell method for direct solution of linear systems. Parallel Computing, 28(9), 1275-1291. doi:10.1016/S0167-8191(02)00133-3

    DOI: 10.1016/S0167-8191(02)00133-3

    Speeding up the solution of thermal EHL problems (Journal article)

    Ford, J. M., & Chen, K. (2002). Speeding up the solution of thermal EHL problems. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 53(10), 2305-2310. doi:10.1002/nme.377

    DOI: 10.1002/nme.377

    2001

    An Analysis of Sparse Approximate Inverse Preconditioners for Boundary Integral Equations (Journal article)

    Chen, K. (2001). An Analysis of Sparse Approximate Inverse Preconditioners for Boundary Integral Equations. SIAM Journal on Matrix Analysis and Applications, 22(4), 1058-1078. doi:10.1137/S0895479898348040

    DOI: 10.1137/S0895479898348040

    An analysis of Seydel's test function methods for nonlinear power flow equations (Journal article)

    Chen, K., Hussein, A., & Wan, H. B. (2001). An analysis of Seydel's test function methods for nonlinear power flow equations. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 78(3), 451-470. doi:10.1080/00207160108805123

    DOI: 10.1080/00207160108805123

    An efficient variant of Gauss-Jordan type algorithms for direct and parallel solution of dense linear systems (Journal article)

    Chen, K., & Evans, D. (2001). An efficient variant of Gauss-Jordan type algorithms for direct and parallel solution of dense linear systems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 76(3), 387-410. doi:10.1080/00207160108805034

    DOI: 10.1080/00207160108805034

    Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation (Journal article)

    Chen, K., & Harris, P. J. (2001). Efficient preconditioners for iterative solution of the boundary element equations for the three-dimensional Helmholtz equation. APPLIED NUMERICAL MATHEMATICS, 36(4), 475-489. doi:10.1016/S0168-9274(00)00021-0

    DOI: 10.1016/S0168-9274(00)00021-0

    Wavelet-based preconditioners for dense matrices with non-smooth local features (Journal article)

    Ford, J., & Chen, K. E. (2001). Wavelet-based preconditioners for dense matrices with non-smooth local features. BIT Numerical Mathematics, 41(2), 282-307. doi:10.1023/A:1021990422981

    DOI: 10.1023/A:1021990422981

    2000

    A new wavelet transform preconditioner for iterative solution of Elastohydrodynamic Lubrication problems (Journal article)

    Ford, J., Chen, K., & Scales, L. (2000). A new wavelet transform preconditioner for iterative solution of Elastohydrodynamic Lubrication problems. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 75(4), 497-513. doi:10.1080/00207160008805000

    DOI: 10.1080/00207160008805000

    1999

    Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems (Journal article)

    Chen, K. E. (1999). Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems. Electronic Transactions on Numerical Analysis, 8, 138-153.

    Improving the accuracy of DRBEM for convective partial differential equations (Journal article)

    Chen, K. (1999). Improving the accuracy of DRBEM for convective partial differential equations. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 23(8), 639-644. doi:10.1016/S0955-7997(99)00028-4

    DOI: 10.1016/S0955-7997(99)00028-4

    Simulation of Colloid-Polymer Systems using Dissipative Particle Dynamics (Journal article)

    Gibson, J. B., Zhang, K., Chen, K., Chynoweth, S., & Manke, C. W. (1999). Simulation of Colloid-Polymer Systems using Dissipative Particle Dynamics. Molecular Simulation, 23(1), 1-41. doi:10.1080/08927029908022109

    DOI: 10.1080/08927029908022109

    The equilibrium of a velocity-Verlet type algorithm for DPD with finite time steps (Journal article)

    Gibson, J. B., & Chen, K. (1999). The equilibrium of a velocity-Verlet type algorithm for DPD with finite time steps. INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 10(1), 241-261. doi:10.1142/S0129183199000176

    DOI: 10.1142/S0129183199000176

    The rate of convergence of the viscosity method for a nonlinear hyperbolic system (Journal article)

    Lu, Y. G., Sweby, P. K., & Chen, K. (1999). The rate of convergence of the viscosity method for a nonlinear hyperbolic system. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 38(4), 435-445. doi:10.1016/S0362-546X(98)00206-5

    DOI: 10.1016/S0362-546X(98)00206-5

    1998

    On a class of preconditioning methods for dense linear systems from boundary elements (Journal article)

    Chen, K. (1998). On a class of preconditioning methods for dense linear systems from boundary elements. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 20(2), 684-698. doi:10.1137/S1064827596304058

    DOI: 10.1137/S1064827596304058

    Simulation of Particle Adsorption onto a Polymer-Coated Surface Using the Dissipative Particle Dynamics Method (Journal article)

    Gibson, J. B., Chen, K., & Chynoweth, S. (1998). Simulation of Particle Adsorption onto a Polymer-Coated Surface Using the Dissipative Particle Dynamics Method. Journal of Colloid and Interface Science, 206(2), 464-474. doi:10.1006/jcis.1998.5734

    DOI: 10.1006/jcis.1998.5734

    1997

    On the boundary element dual reciprocity method (Journal article)

    Jumarhon, B., Amini, S., & Chen, K. (1997). On the boundary element dual reciprocity method. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 20(3), 205-211. doi:10.1016/S0955-7997(97)00084-2

    DOI: 10.1016/S0955-7997(97)00084-2

    1994

    2-DIMENSIONAL ADAPTIVE QUADRILATERAL MESH GENERATION (Journal article)

    CHEN, K. (1994). 2-DIMENSIONAL ADAPTIVE QUADRILATERAL MESH GENERATION. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, 10(10), 815-825. doi:10.1002/cnm.1640101008

    DOI: 10.1002/cnm.1640101008

    1993

    ON AN ADAPTIVE TIME-STEPPING STRATEGY FOR SOLVING NONLINEAR DIFFUSION-EQUATIONS (Journal article)

    CHEN, K., BAINES, M. J., & SWEBY, P. K. (1993). ON AN ADAPTIVE TIME-STEPPING STRATEGY FOR SOLVING NONLINEAR DIFFUSION-EQUATIONS. JOURNAL OF COMPUTATIONAL PHYSICS, 105(2), 324-332. doi:10.1006/jcph.1993.1078

    DOI: 10.1006/jcph.1993.1078

    1992

    SELECTION OF OPTIMAL MESHES FOR THE SOLUTION OF NONLINEAR DOPANT DIFFUSION-PROBLEMS (Journal article)

    CHEN, K. (1992). SELECTION OF OPTIMAL MESHES FOR THE SOLUTION OF NONLINEAR DOPANT DIFFUSION-PROBLEMS. COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING, 11(4), 433-443. doi:10.1108/eb010104

    DOI: 10.1108/eb010104

    1991

    CONJUGATE-GRADIENT METHODS FOR THE SOLUTION OF BOUNDARY INTEGRAL-EQUATIONS ON A PIECEWISE SMOOTH BOUNDARY (Journal article)

    CHEN, K. (1991). CONJUGATE-GRADIENT METHODS FOR THE SOLUTION OF BOUNDARY INTEGRAL-EQUATIONS ON A PIECEWISE SMOOTH BOUNDARY. JOURNAL OF COMPUTATIONAL PHYSICS, 97(1), 127-143. doi:10.1016/0021-9991(91)90042-J

    DOI: 10.1016/0021-9991(91)90042-J

    ON THE SOLUTION OF NONSMOOTH BOUNDARY ELEMENT EQUATIONS BY PRECONDITIONED CONJUGATE-GRADIENT METHODS (Conference Paper)

    CHEN, K. (1991). ON THE SOLUTION OF NONSMOOTH BOUNDARY ELEMENT EQUATIONS BY PRECONDITIONED CONJUGATE-GRADIENT METHODS. In COMPUTATIONAL MECHANICS, VOLS 1 AND 2 (pp. 1251-1256). Retrieved from http://gateway.webofknowledge.com/
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