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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.
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