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NCACM
University of Nevada, Las Vegas
4505 Maryland Parkway,
Box 454027, Las Vegas,
NV 89154-4027

Phone: (702) 895-2693
FAX: (702) 895-1860
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Copyright © 2001-2002,

Last Update:
March 25, 2004

Research:

  • Meshless Methods
  • Boundary Element Methods
  • Radial Basis Functions
  • Numerical Partial Differential Equations
Dr. C.S. Chen, Professor

Contact Information:

Office: CBC-B517
Phone: (702) 895-0365
Fax: 895-4343
Mail Code: 4020
E-mail: chen@nevada.edu
Additional Information at http://www.nevada.edu/~chen

 

Selected Publication:

Books

  • M.A. Golberg and C.S. Chen, Discrete Projection Methods for Integral Equations, Computational Mechanics Publications, Southampton, Boston, 1997 (425 pages).
  • (Editors) C.S. Chen, C.A. Brebbia and D. Pepper, Boundary Element Technology XIII, WIT PRESS, June, 1999.
  • (Guest Editors) M.A. Golberg and C.S. Chen, Special Issue: The Dual Reciprocity Method and Radial Basis Functions, International Journal of Engineering Analysis with Boundary Elements, Vol. 24, Nos. 7-8, July/September, 2000, ISSN 0955-7997, Elsevier.
  • C.S. Chen, Y.C. Hon, R.S. Schaback, Radial Basis Functions with Scientific Computation, in preparation.

Book Chapters

  • M.A. Golberg and C.S. Chen, The method of fundamental solutions for potential, Helmholtz and diffusion problems, in Boundary Integral Methods - Numerical and Mathematical Aspects, ed. M.A. Golberg, Computational Mechanics Publications, 1998, pp.103-176.
  • C.S. Chen, M.A. Golberg, R.S. Schaback, Recent developments of the dual reciprocity method using compactly supported radial basis functions, to appear in: Transformation of Domain Effects to the Boundary, ed. Y.F. Rashed, 2002, WIT PRESS.

Referred Journals

  • C.Y. Chan and C.S. Chen, A numerical method for semilinear singular parabolic quenching problems, Quarterly of Applied Mathematics, 47, pp45-57, 1989.
  • C.Y. Chan and C.S. Chen, Critical length for global existence of solutions for coupled semilinear singular parabolic problems, Quarterly Applied Mathematics, 47, pp 661-671, 1989.
  • D. Wan, Peter Shiue and C.S. Chen, Value set of polynomial over finite fields, Proceedings of American Mathematical Society, Vol. 119, No. 3, 1993, pp 711 – 717.
  • M. Golberg and C. S. Chen, On a method of Atkinson for evaluating domain integrals in the boundary element method, Applied Mathematics and Computation, 60, 1994, pp125-138.
  • C. S. Chen and A. Muleshkov, Critical lengths for some nonlinear differential equations, Dynamic Systems and Applications, 3, 1994, pp121-134.
  • M. Golberg and C.S. Chen, The theory of radial basis functions applied to the BEM for inhomogeneous partial differential equations, Boundary Elements Communications, 5, 1994, pp 57-61.
  • C.S. Chen, The method of fundamental solution for nonlinear thermal explosion, Communications in Numerical Methods in Engineering, 11, 1995, pp. 675-681.
  • C.S. Chen, The method of fundamental solutions and quasi-monte carlo methods for Possion equation, Lecture Notes in Statistics, 106, 1995, pp. 158-167.
  • M.A. Golberg, C.S. Chen and S.R. Karur, Improve multiquadric interpolation for partial differential equations, Engineering Analysis with Boundary Elements, 18, 1996, 9-17.
  • M.A. Golberg and C.S. Chen, A bibliography on radial basis function approximation, Boundary Elements Communications, 7 (4), 1996, 155-163.
  • M.A. Golberg ,C.S. Chen, H. Bowman and H. Power, Some comments on the radial basis functions in the dual reciprocity method, Computational Mechanics, 21, 1998, 141-148.
  • C.S. Chen and Y.F. Rashed, Evaluation of thin plate spline based particular solution for Helmholtz-type operators for the DRM, Mechanics Research Communications, 25(2), 1998, 195-201
  • M. Zerroukat, H. Power and C.S. Chen, A numerical method for heat transfer problem using collocation and radial basis functions, International Journal of Numerical Methods in Engineering, 42, 1998, 1263-1278.
  • C.S. Chen, M.A. Golberg and Y.C. Hon, Numerical justification of the method of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations, Engineering Analysis with Boundary Elements, 22, 1998, 61-69.
  • C.S. Chen, M.A. Golberg and Y.F. Rashed, A mesh free method for linear diffusion equations, Numerical Heat Transfer, Part B, 33, 1998, 469-486.
  • C.S. Chen, M.A. Golberg and Y.C. Hon, The method of fundamental solutions and quasi-Monte Carlo method for diffusion equations, International Journal of Numerical Methods in Engineering, 43, 1998, 1421-1436.
  • M.A. Golberg, C.S. Chen and Y.F. Rashed, The annihilator method for computing particular solutions to partial differential equations, to appear in Engineering Analysis with Boundary Elements, 23, 1999, 275-279.
  • C.S. Chen, C.A. Brebbia and H. Power, Dual receiprocity method using compactly supported radial basis functions, Communications in Numerical Methods in Engineering, 15, 1999, 137-150.
  • M.A. Golberg, C.S. Chen and H. Bowman, Some recent results and proposals for the use of radial basis functions in the BEM, Engineering Analysis with Boundary Elements, 23, 1999, 285-296.
  • A.S. Muleshkov, M.A. Golberg and C.S. Chen, Particular solutions of Helmholtz-type operators using higher order polyharmonic splines, Computational Mechanics, 24, 1999, 411-419.
  • M.A. Golberg, C.S. Chen and M. Ganesh, Paticular solutions of the 3D modified Helmholtz-type equations using compcatly supported radial basis functions, Journal of Engineering Analysis with Boundary Elements, vol. 24, pp 539-547, 2000.
  • C.S. Chen, M.A. Golberg, M. Ganesh, A. H-D. Cheng, The dual reciprocity method using multilevel method compactly supported radial basis functions, Boundary Element Methods XXII, eds. C.A. Brebbia, H. Power, WIT Press, Boston, Southampton, pp. 555-564, 2000
  • M. Marcozzi, S. Choi and C.S. Chen, On the use of boundary conditions for variational formulations arising in financial mathematics, Journal of Applied Mathematics and Computation, Vol. 124, pp. 197-214, 2001.
  • M.A. Golberg, C.S. Chen , A mesh free method for solving nonlinear reaction-diffusion equations, the Journal of Computer Modeling in Engineering & Science, 2001.
  • C.S. Chen, M.A. Golberg, M. Ganesh and A. H.-D. Cheng, Multilevel compact radial functions based computational schemes for some elliptic problems, to appear in the Journal of Computers and Mathematics with Application, Vol. 2, pp. 87 – 95, 2002.
  • A. D.-H. Cheng, C.S. Chen, M.A. Golberg and Y.F. Rashed, BEM for thermoelasticity and elassticity with body force – a revisit, to appear in Engineering Analysis with Boundary Elements, Vol. 25, pp. 377-387, 2001.
  • Y.F. Rashed, C.S. Chen and M.A. Golberg, Efficient evaluation of plate-half space interaction using contour integrals, to appear in Applied Mathematics Modeling, Vol. 25, pp. 967-978, 2001.
  • Jichun Li and C.S. Chen, A Simple efficient algorithm for interpolation between different grids in both 2D and 3D, to appear in Mathematics and Computers in Simulation, 2001.
  • Xin Li, C.H. Ho and C.S. Chen, Computational test of approximation of functions and their derivatives by radial basis functions, submitted
  • Jichun Li, Y.C. Hon and C.S. Chen, Numerical comparisons of two meshless methods using radial basis functions, submitted
  • C.S. Chen, G. Kuhn, Jichun Li and G. Mishuris, Radial basis functions for solving near-singular Poisson’s Problems, submitted.

Refereed Proceeding

  • C.Y. Chan and C. S. Chen, A nonlinear singular parabolic initial boundary value problem, ed. V. Lakshmikantham, Nonlinear Analysis and Applications, Marcel Dekker, New York, 1987, pp 115-119.
  • A. Muleshkov and C.S. Chen, A note on the critical length for mixed boundary value problems, Proceedings of the First International Conference on Dynamic System and Applications, 1, 271-276, 1994.
  • C.S. Chen and M. Golberg, A domain embedding method and the quasi-monte carlo method for Poisson's Equation, Boundary Elements XVII, Computational Mechanics Publications, Boston, Southampton, 1995, 115-122.
  • C.Y. Chan and C.S. Chen, Method of fundamental solutions for multi-dimensional quenching problems, Proceeding of Dynamic Systems and Applications, 2, ed. G.S. Ladde and M. Sambandham, 1996, 115-121.
  • C.S. Chen and M.A. Golberg, Las Vegas method for diffusion equations, Boundary Element Technology XII, eds. J.I. Frankel, C.A. Brebbia & M.A.H. Aliabadi, Computational Mechanics Publications, 1997, 299-308.
  • C.S. Chen and C.A. Brebbia, The dual reciprocity method for Helmholtz-type operators, Boundary Element Method XX, eds. A. Kassab, C.A. Brebbia, M. Chopra, Computationa Mechanics Publications, 1998, 495-504.
  • M. Marcozzi, S. Choi and C.S. Chen, RBF and optimal stopping problems; an application to the pricing of Vanilla options on one risky asset, Boundary Element Technology XIII, eds. C.S. Chen, C.A. Brebbia, D.W. Pepper, WIT Press, Boston, Southampton, pp. 345-354, 1999.
  • C.S. Chen, M. Marcozzi and S. Choi, The method of fundamental solutions and compactly supported radial basis functions - a meshless approach to 3D problems, Boundary Element Methods XXI, eds. C.A. Brebbia, H. Power, WIT Press, Boston, Southampton, pp. 561-570, 1999. C.S. Chen, A.S. Muleshkov and M.A. Golberg, The numerical evaluation of particular solutions for Poisson's equation - a revisit, Boundary Element Methods XXI, eds. C.A. Brebbia, H. Power, WIT Press, Boston, Southampton, pp. 313-322, 1999.
  • M.A. Golberg, C.S. Chen & A.S. Muleshkov, The method of fundamental solutions for diffusion equations, Boundary Element Technology XIII, eds.
  • C.S. Chen, C.A. Brebbia, D.W. Pepper, WIT Press, Boston, Southampton, pp. 377-386, 1999.
  • Y.F. Rashed, C.S. Chen and M.A. Golberg, Equivalent boundary integrals for Boussinesq - Cerruti half interaction with thin plates, Boundary Element Methods XXI, eds. C.A. Brebbia, H. Power, WIT Press, Boston, Southampton, pp. 615-625, 1999.
  • A.H.-D. Cheng, C.S. Chen, M.A. Golberg and D.-L. Young, Radial basis functions, polynomial basis functions, particular solutions and DRBEM, 14th Engineering Mechanics Conference, Austin, Texas, May 21-24, 2000 (in CD ROM).
  • A.S. Muleshkov, C.S. Chen, M.A. Golberg and A.H-D. Cheng, Analytic particular solutions for inhomogeneous Helmholtz-type equations, Advances in Computational Engineering & Sciences, eds. S.N. Atluri, F.W. Brust, Tech Science Press, Vol. 1, pp. 27-32, 2000.
  • M.A. Golberg, C.S. Chen and V. Popov, A mesh free method for nonlinear reaction-diffusion equation, Advances in Computational Engineering & Sciences, eds. S.N. Atluri, F.W. Brust, Tech Science Press, Vol. 1, pp. 2-7, 2000
  • J. Jerko, C.S. Chen, B. Sarler, A polygone-free to steady natural convection in solid-liquid systems, to appear in Moving Boundaries VI.
  • Xin Li, C.H. Ho and C.S. Chen, Computational test of approximation of functions and their derivatives by radial basis functions, ICES’01 Conference Proceeding in CD ROM.
  • M. Ludian, Jichun Li and C.S. Chen, The DRM using Helmholtz-type operators, ICES’01 Conference Proceeding in CD ROM.

Nevada Center for Advanced Computational Methods