Non-Imaging Scientific Computing Publications
                --- Iterative Methods, Matrix Computing,
                      Numerical PDEs and Integral Equations

  1. Proceedings of IMSE2010 (Dense matrix problems, Algorithms, Applications)
    2011. "Efficient Iterative Methods for Fast Solution of Integral Operators Related Problems", by Ke Chen, in: Integral Methods in Science and Engineering - Computational and analytic aspects, eds. C Constanda and P J Harris, pp.79-90, ISBN 978-0-8176-8237-8.
  2. Applied Mathematics and Computation (Parallel computing, Boundary integral methods)
    2010. ``A parallel implementation of the overlapping Schwarz method for the dual reciprocity method", by Ke Chen and Kamal Shanazari, Vol 216 (11), August 2010, pp.3355-3364. [Download PDF, LOCAL PDF]
  3. Journal of Computational and Applied Mathematics (Helmholtz problem / High oscillation)
    2008. An Efficient Method for Evaluating the Integral of a class of highly oscillatory functions, by Paul J. Harris and Ke Chen, Vol 230 (2), pp.433-442. [See Paper (pdf in gz)]
  4. IMA Journal of Applied Mathematics (Helmholtz problem / Hyper-singularity reduction)
    2009. A New Study of the Burton and Miller method for the Solution of A Three-Dimensional Helmholtz Problem, by Ke Chen, Jin Cheng and Paul J. Harris, Vol. 74(2), pp.163-177. [see abstracts + paper or Paper (pdf in gz)]
                                        --- one of the TOP 3 most downloaded papers in IMA JAM in 2009!
  5. Concurrency and Computation: Practice and Experience (Parallel computing)
    2007. "Efficient parallelization of the iterative solution of a coupled fluid-structure interaction problem", by Martyn D Hughes and Ke Chen, Vol 19 (10), pp.1423-1445. [Download Paper (in pdf.gz) ]
  6. International Journal of Numerical Analysis and Modeling (Wavelets and Helmholtz Equation)
    2007. On the influence of the wavenumber on compression in a wavelet boundary element method for the Helmholtz equation, by Stuart H Hawkins, Ke Chen and Paul J Harris, Vol.4 (1), pp.48-63. [Download Paper (in pdf) ]
  7. 2007. ``On the accurate evaluation of oscillating integrals'' by P J Harris and K. Chen, in: UKBI6 - - Proc. 6th UK conf. on BIE, Durham University Press, ed. J. Trevelyan.
  8. IMA Journal of Numerical Analysis (Preconditioner and Fast Iterative Solver)
    2006. A two-level sparse approximate inverse preconditioner for unsymmetric matrices, by Ke Chen and Martyn D. Hughes, Vol 26 (1), pp.11-24. [Download Paper (in pdf.gz) ]
  9. SIAM Journal on Scientific Computing (Wavelets)
    2005. An implicit wavelet approximate inverse preconditioner, by Stuart C. Hawkins and Ke Chen, Vol 27, Number 2, pp. 667-686. [Download Paper (in ps.gz) ]
  10. International Journal of Computer Mathematics (Inverse problems, Image Restoration and Fast Iterative Solver)
    An improved and accelerated nonlinear multigrid method for total-variation denoising, by Joseph Savage and Ke Chen, , Vol 82, (8), pp.1001-1015, 2005. [Download Paper (in pdf.gz) ]
  11. International Journal of Wavelets, Multiresolution and Information Processing (Wavelets)
    An operator splitting preconditioner for matrices arising from a wavelet boundary element method for the Helmholtz equation, by Stuart C. Hawkins, Ke Chen and Paul J. Harris, Vol 3 (4), 601-620. [to add: Download Paper (in ps.gz) ]
  12. P. J. Harris and K. CHEN (2005), Some Results and observations on Solving High Frequency Acoustic Radiation Problems, in: UKBIM5 - Proc. 5th UK conf. on BIE, Liverpool University Press.
  13. K. Shanazari and K. CHEN (2005), A Parallel Non-overlapping Domain De- composition Dual Reciprocity Method, in: UKBIM5 - Proc. 5th UK conf. on BIE, Liverpool University Press.
  14. International Journal of Computer Mathematics (Large Systems / Preconditioners)
    An efficient preconditioned iterative solver for solving a coupled fluid structure interaction problem, Martyn D. Hughes and Ke Chen, Vol 81 (5), 583-594. [Download     Paper (in pdf.gz) ]
  15. Journal of Computational and Applied Mathematics (Two-level method / Nonlinear solvers)
    Fast computational methods for locating fold points for the power flow, by Anwar Hussein and Ke Chen, 2004, Volumes 164-165, pages 419-430. [Download Paper (in ps.gz) ]
  16. International Journal of Computer Mathematics (Wavelets / Preconditioners)
    New wavelet preconditioner for solving boundary integral equations over nonsmooth boundaries, by Stuart C. Hawkins and Ke Chen, Vol 81 (2), 353-360. [Download     Paper (in ps.gz) ]
  17. (Effective Boundary Elements / Wave Equations)
    ``A Weakly Singular Boundary Integral Formulation of the External Helmholtz Problem Valid For All Wavenum- bers'' by P. J. Harris, K. CHEN and J. Cheng (2004), in: Integral Methods in Science and Engineering: Analytic and Numerical Methods, Birkhauser, eds. C. Constanda, M. Ahues and A. Largillier.
  18. Journal of Parallel Algorithms and Applications, (Parallel method / Wavelets)
    Flexible parallelization of fast wavelet transforms, by Judith M. Ford, Ke Chen and Neville J. Ford, pp.155 - 169, Vol 18 (4).
  19. J. Engineering Analysis with Boundary Elements (Domain Decomposition and Boundary Elements)
    An overlapping domain decomposition dual reciprocity method, by Kamal Shanazari and Ke Chen, 2003, vol. 27, pp.845-953. [Download Paper (in ps.gz) ]
  20. Journal of Numerical Algorithms (Adaptive Meshes and Boundary Elements) [Download Paper (in ps.gz) ]
    A minimal distance constrained adaptive mesh algorithm with application to the dual reciprocity method, by Kamal Shanazari and Ke Chen, vol.32, pp.275-286, 2003.
  21. Journal of Computational and Applied Mathematics (Boundary Integral Equation).
    On efficient preconditioners for iterative solution of a Galerkin boundary element equation for the three dimensional exterior Helmholtz problem, by Paul Harris and Ke Chen, vol. 156, pp.303-318, 2003. [Download Paper (in ps.gz)]
  22. IEEE Transactions on Power Systems (Bifurcation method)
     A performance-index guided continuation method for fast computation of saddle-node bifurcation in power systems, by Ke Chen, Anwar Hussein, Martin Bradley and Haibin Wan, Vol.18, No.2, pp 753-760, May 2003. [Download Paper (in ps.gz)]
  23. International Journal of Computer Mathematics (Wavelets)
    On a recursive Schur preconditioner for iterative solution of a class of dense matrix problems, Judith Ford, Ke Chen and David Evans, vol. 80, no. 1, pp.105-122, 2003. [Download Paper (in ps.gz)]
  24. International Journal of Bifurcation & Chaos (Bifurcation method)
    On Efficient Methods for Detecting Hopf Bifurcation with Applications to Power System Instability Prediction, by Anwar Hussein and Ke Chen, Vol. 13, No. 5, pp.1247-1262 (2003). [Download Abs and Paper (in ps.gz)]
  25. Proc. UK BIE4 (Domain Decomposition and Boundary Elements)
    A discontinuous Boundary Element Method for solving the three dimensional exterior Helmholtz problem, by Ke Chen and Paul J. Harris (2003), University of Salford (ed. S Amini), pp.107-116. [Download Paper (in pdf.gz) ]
  26. (Wavelets)
    S. Hawkins, K. CHEN and P. J. Harris (2003). Easily inverted approximation type preconditioners based on 2D wavelets transforms over unstructured grids, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini, Salford University Press), pp.147-156.
  27. (Preconditioners)
    K. CHEN, S. Hawkins and M. D. Hughes (2003). On sparse preconditioners of the two-level deflation type, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini), pp.165-174.
  28. (Variational denoising)
    J. Savage and K. CHEN (2003). A fast iterative solver for image deconvolution, Proc. 4th UK conf. on BIE, Salford University Press (ed. S Amini), pp.185-194.
  29. (Bifurcation method)
    K. CHEN and A. HUSSEIN (2003). Fast bifurcation methods for nonlinear sys- tems of power equations modelling voltage collapse, pp.15-29, in: Numerical Lin- ear Algebra and Optimisation, ed. Y. X. Yuan, Science Press.
  30. Journal of Parallel Computing (Parallel computing and Direct solvers)
    Parallel algorithms of the Purcell method for direct solution of linear systems, by Ke Chen and C H Lai, vol.28, no.9, pp.1275-1291, (2002). [Download Paper (in ps.gz)]
  31. International Journal of Bifurcation & Chaos (Bifurcation method)
    On Adapting Test Function Methods for Fast Detection of Fold Bifurcations in Power Systems, by Anwar Hussein, Ke Chen and Haibin Wan, vol. 12, no. 1, pp. 179-185, 2002. [Download Paper (in ps.gz)]
  32. SIAM Journal on Scientific Computing (Wavelets and Iterative Solver)
    On two variants of an algebraic wavelet preconditioner, by Tony F. Chan and Ke Chen, vol.24, no.1, pp.260-283 (2002). Also available as UCLA CAM report 02-02. [Download Paper (in ps.gz)]
  33. Journal of Computational and Applied Mathematics (Bifurcation method)
    On a class of new and practical performance indexes for approximation of fold bifurcations of nonlinear power flow equations, by Ke Chen, Anwar Hussein and H.B. Wan, vol. 140, no. 1-2, pp. 119-141, 2002. [Download Paper (in ps.gz) or abstract (in txt)]
  34. International Journal for Numerical Methods in Engineering (Wavelets and Iterative Solver)
    Speeding up the solution of thermal elastohydrodynamic lubrication problems, by Judith Ford and Ke Chen, vol.53 (10), pp. 2305-2310, 2002. [Download Paper (in ps.gz)]
  35. S. HAWKINS and K. CHEN (2002). Preconditioning the wavelets finger patterns matrices, Proc. 7th IUTAM conference (ed. A. B. Movchan), Kluwer, UK.
  36. M. D. HUGHES and K. CHEN (2002). Fast iterative solution of coupled 3- dimensional fluid-structure interaction problems, Proc. 7th IUTAM conference (ed. A. B. Movchan), Kluwer, UK.
  37. Journal of Applied Numerical Mathematics (Boundary Integral Equation and Iterative Solver)
    Efficient preconditioners for iterative solution of the boundary element equations for the three dimensional Helmholtz equation, by Ke Chen and Paul Harris, vol.36, pp.475-489, 2001. [Download Paper (in ps.Z) or abstract (in txt)]
  38. Journal of Numerical Algorithms ( Wavelets and Iterative Solver.)
     An algorithm for accelerated computation of DWTPer-based band preconditioners, by Judy Ford and Ke Chen, vol.26 (2), pp.167-172, 2001. [Download Paper (in ps.gz) ]
  39. BIT (J. Numerical Mathamtics) - ( Wavelets and Iterative Solver.)
     Wavelet-based preconditioners for dense matrices with non-smooth local features, by Judy Ford and Ke Chen, vol.41 (2), pp.282-307, 2001. [Download Paper (in ps.gz) or abstract (in txt)]
  40. SIAM Journal on Matrix Analysis and Applications ( Boundary Integral Equation and Iterative Solver.)
    An analysis of sparse approximate inverse preconditioners for boundary integral equations, by Ke Chen, vol.22 (3), 1058-1078, 2001. [Download Paper (in ps.Z) or abstract (in txt)]
  41. International Journal of Computer Mathematics (Bifurcation method)
    An analysis of Seydel's test function methods nonlinear power flow equations, by Ke Chen, Anwar Hussein and Haibin Wan, vol. 78 No. 1/2, pp.451-470, 2001. [Download Paper (in ps.gz)]
  42. J. M. Ford and K. CHEN (2001). A wavelet-based preconditioning method for a class of dense matrices, Proc. 4th Int. Symp. Algorithms for Approximation, University of Huddersfield, UK.
  43. K. Shananzari and K. CHEN (2001). On an adaptive mesh algorithm with minimal distance control for the dual reciprocity method, Proc. 4th Int. Symp. Algorithms for Approximation, eds. J C Mason et al, University of Huddersfield, UK.
  44. K. CHEN, P. J. Harris and M. D. Hughes (2001). On iterative solution of the fluid structure interaction problem, in: UKBIM3 - Proc. 3rd UK conf. on BIE, Brighton University Press, UK.
  45. K. SHANANZARI and K. CHEN (2001). An adaptive mesh method for improving the accuracy of the DRBEM for a class of partial differential equations, in: UKBIM3 - Proc. 3rd UK conf. on BIE, ed. P J Harris, Brighton University Press, UK.
  46. Wavelets and Parallel Computing.
    Small-scale Parallel Implementation of Fast Wavelet Transforms, by Judith Ford, Ke Chen and Neville J. Ford, Numerical Analysis Report 388, 2001, Manchester Centre for Computational Mathematics. [Download Paper (in ps.gz)]
  47. Wavelets and Parallel Computing.
    Parallel Implementation of Fast Wavelet Transforms, by Judith Ford, Ke Chen and Neville J. Ford, Numerical Analysis Report 389, 2001, Manchester Centre for Computational Mathematics. [Download Paper (in ps.gz)]
  48. Matrix and Parallel Computing.
    An efficient variant of Gauss-Jordan type algorithms for direct and parallel solution of dense linear systems,
    by Ke Chen and David Evans, International Journal of Computer Mathematics, vol.76, pp.387-410, 2000. [Download Paper (in ps.gz) or see abstract]
  49. Generalised Boundary Integral Equation
    A general DRBEM model for wave refraction and diffraction, J. Engineering Analysis with Boundary Elements, vol.24, No.5, pp.377-390, 2000, by S P Zhu, H W Liu and K Chen, See abstract.
  50. Generalised Boundary Integral Equation
    The Hermite collocation method using radial basis functions, by Bartur Jumarhon, Sia Amini and Ke Chen, J. Engineering Analysis with Boundary Elements, vol.24, pp.607-611, 2000. See abstract.
  51. Wavelets and Iterative Solver.
     A new wavelet transform preconditioner for iterative solution of elastohydrodynamic lubrication problems.
    by Judy Ford, Ke Chen and Laurence Scales, International Journal of Computer Mathematics, vol.75, pp.497-513, 2000. See abstract.
  52. Wavelets and Iterative Solver.
    Two-Stage Preconditioners using Wavelet Band Splitting and Sparse Approximation, by Tony F. Chan and Ke Chen, UCLA CAM report 00-26, 2000. [Download Paper (in ps.gz) or abstract (in txt)]
  53. Wavelets and Iterative Solver.
     Sparse preconditioners exploiting band structures in dense matrices arising from elastohydrodynamic lubrication problems,
    by Judy Ford and Ke Chen, Proc. IMACS, 2000, See abstract.
  54. J. M. FORD, K. CHEN and N. J. FORD (2000). `Small-scale Parallel Imple- mentation of Fast Wavelet Transforms', Proc. IMACS, Canada.
  55. Partial Differential Equation
    The rate of convergence of the viscosity method for a nonlinear hyperbolic system (PDF format)
    by Yungang Lu, Peter Sweby and Ke Chen, Int. J. Nonlinear Analysis, vol.38, No.4, 435-445, 1999, See abstract.
  56. Generalised Boundary Integral Equation
    Improving the accuracy of DRBEM for convective partial differential equations
    by Ke Chen, J. Engineering Analysis with Boundary Elements, vol.23, No.8, pp.639-644, 1999. See abstract.
  57. Wavelets and Iterative Solver.
    Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems
    by Ke Chen,     Electronic Transactions on Numerical Analysis, V.8, 138-153, 1999. (see abstract).
  58. Particle Simulation and Ordinary Differential Equation.
    Simulation of Colloidal-Polymer Systems using Dissipative Particle Dynamics
    by Jonathan Gibson, Kai Zhang, Ke Chen, Simon Chynoweth and Chuke Monke, Molecular Simulation, vol 23, pp. 1-23, 1999. See abstract.
  59. Particle Simulation and Ordinary Differential Equation.
    The equilibrium of a velocity-verlet type algorithm for DPD with finite time steps
    by Jonathan Gibson, Ke Chen, Simon Chynoweth, International Journal of Modern Physics C, vol. 10, No.1, 241-261, 1999. See abstract.
  60. Generalised Boundary Integral Equation
    `Application of the Dual Reciprocity Method to the Nonlinear Dopant Distribution Problem' by A. Profit, K. Chen and S. Amini, in: UKBIM2 - Proc. 2nd UK conf. Boundary integral Methods, Brunel University Press.
  61. Preconditioners and Iterative Solver.
    `Sparse preconditioners for iterative solution of dense matrix problems from 3D boundary elements' by K. Chen and P. J Harris, in: UBIM2 - Proc. 2nd UK conf. Boundary integral Methods, Brunel University Press.
  62. Parallel Computing and Boundary Elements
    `On parallel algorithms for the Purcell method,' by K. Chen and C H Lai, DDM10 - Proc. of 10th DDM, eds C H Lai et al.
  63. Partial Differential Equation
    A numerical algorithm for the solution of the governing equations of thermal plasmas,
    by Bob E. Blundell, Ke Chen and Mike T. C. Fang, Proc. 6th Numerical Methods for Fluid Dynamics, 1998, eds M. J. Baines, et al, (Oxford University Press).
  64. Partial Differential Equation
    A Computational Fluid Dynamics Method Suitable for Modelling Auto-Expansion Circuit-Breakers by Bob E. Blundell, Ke Chen and Mike T. C. Fang, in: Proc. 7th Symp. Physics of Switching Arcs.
  65. Particle Simulation and Ordinary Differential Equation.
    Simulation of Particle Adsorption onto a Polymer Coated Surface using the Dissipative Particle Dynamics Method
    by Jonathan Gibson, Ke Chen, Simon Chynoweth, Journal of Colloid and Interface Science, vol.206, 464-474, 1998. See abstract.
  66. Particle Simulation and Ordinary Differential Equation.
    J. B. GIBSON, K. CHEN and S CHYNOWETH (1998). `Simulation of soot agglomeration in diesel engine lubricating oil', in: Proc. 6th Numerical Methods for Fluid Dynamics, 1998, eds M. J. Baines, et al, (Oxford University Press).
  67. Boundary Integral Equation and Iterative solver.
    On a class of preconditioning methods for dense linear systems from boundary elements
    by Ke Chen, SIAM Journal on Scientific Computing, vol.20 (2), 684-698, 1998. See abstract.
  68. Iterative Solver and Generalised Boundary Integral Equation
    On a new preconditioning algorithm for iterative solution of generalized boundary element systems, by Ke Chen, JDUT, 49, 1-18, 1998. [Download Paper (in pdf) ]
  69. Parallel Computing and Boundary Elements
    Solutions of boundary element equations by a flexible elimination process, by C. H. Lai and K. Chen, Contemp. Math., 218, 311-317, 1998.
    Iterative Solver and 2D Boundary Integral Equation
    `Preconditioning of 2D singular integral equations', by K. Chen, in: DDM9 Proc. 9th Conf. Domain Decomposition Methods, eds. P. E. Bjorstad et al.
  70. Generalised Boundary Integral Equation
    On the convergence of the boundary element dual reciprocity method
    by B. Jumarhon, S. Amini and K. Chen, J. Engineering Analysis with Boundary Elements, vol.20, pp.205-211, 1997. See abstract.
  71. 1997. On the solution of coupled boundary integral equations from wave refraction and diffraction.
    by Ke Chen and Songping Zhu,
    Proceedings of the first UK conference of Boundary integral Methods, eds. D. B. Ingham/ D Lesnic et al.
  72. 1997. Boundary element dual reciprocity method for the Helmholtz mquation, by B. Jumarhon, S. Amini and K. Chen, in: Proc. 1st UK conf. Boundary integral Methods, eds. D Ingham / D Lesnic et al.
  73. 1997. On sparse preconditioners based on discrete wavelet transforms and operator splitting for dense boundary element systems
    by Ke Chen, PRISM'97 proceedings, eds. O. Axelsson et al, See abstract.
  74. 1996. Preconditioning boundary element equations
    by Ke Chen,     (see abstract). In: ``Boundary elements: implementation and analysis of advanced algorithms'', 57-67, eds. W. Hackbusch & G. Wittum, (Vieweg, 1996).
  75. 1996. Boundary element methods for the solution of general partial differential equations
    by Ke Chen (see abstract).     In: ``Computational Techniques and Applications'',
    by A. Easton and R. May, 169-176, (World Scientific, 1996).
  76. 1995. Solution of singular boundary element equations based on domain splitting,
    by Ke Chen,     In: DDM8 ``Domain Decomposition Methods in Science and Engineering''
    by R. Glowinski / Z C Shi et al, pp.43-50, (John-Wiley).
  77. 1994. Two Dimensional Adaptive Quadrilateral Mesh Generation
    by Ke Chen,     Comm. Numer. Meth. Engng., V.10, 815-825, 1994. (see abstract).
  78. 1994. Error equidistribution and mesh adaptation
    by Ke Chen,     SIAM J. Sci. Comp., V.15, 798-818, 1994. (see abstract).
  79. 1994. Efficient iterative solution of linear systems from discretizing singular integral equations
    by Ke Chen,     Electronic Transactions on Numerical Analysis, v.2, 76-91, 1994. (see abstract).
  80. 1993. Numerical Analysis of Boundary Integral Solution of the Helmholtz equation in domains with non-smooth boundaries
    by K. Chen and S. Amini,     IMA J. Numer. Anal., V13, 43-66, 1993. (see abstract).
  81. 1993. On an adaptive time stepping strategy for solving nonlinear diffusion equations,
    by K. Chen, M. J. Baines and P. K. Sweby, Journal of Computational Physics, 105, 324-332.
  82. 1992. Selection of optimal meshes for the solution of nonlinear dopant diffusion problems,
    by K. Chen, International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 11 (4),433-444.
  83. 1991. Conjugate gradient methods for the solution of boundary integral equations on a piecewise smooth boundary,
    by K. Chen, Journal of Computational Physics, 97 (1), 127-143.
  84. 1990. Analytical behaviour of solutions of boundary integral equations f or a non-smooth region,
    by K. Chen and S. Amini, IMA Journal of Applied Mathematics, 45 (2), 147-157.
  85. 1990. Iterative solution of boundary element equations for the exterior acoustic problem,
    by S. Amini, K. Chen and P. J. Harris, ASME Journal of Vibration and Acoustics, 112 (2), 257-262.
  86. 1989. Conjugate gradient method for the second kind integral equations - applications to the exterior acoustic problem,
    by S. Amini and K. Chen, J. Engineering Analysis with Boundary Elements, 6 (2), 72-77.
  87. ``Mathematical Exploration with Matlab'' by Chen K, Giblin P. J. and Irving I. C.,
    Cambridge University Press, (1999), [ ISBN: 0-521-63920-4; to order via Amazon ].
    Check also the Russian Edition, 2001, ISBN 5-03-002821-8.
  88. Matrix Preconditioning Techniques and Applications, by Ke Chen, (Series) Cambridge Monographs in Applied and Computational Mathematics, Cambridge University Press, 2005, 528pp. (ISBN: 0521838282). [To order via Amazon ].
  89. "Advances in Boundary Integral Methods --- Proceedings of the 5th UK Conference on Boundary Integral Methods", edited by Ke Chen, published by the University of Liverpool, 2005, 267pp, ISBN 0906370396.

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