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. 78, July/September,
2000, ISSN 09557997, 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.103176.
 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, pp4557,
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 661671, 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, pp125138.
 C. S. Chen
and A. Muleshkov, Critical lengths for some nonlinear differential
equations, Dynamic Systems and Applications, 3, 1994, pp121134.
 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 5761.
 C.S. Chen,
The method of fundamental solution for nonlinear thermal explosion,
Communications in Numerical Methods in Engineering, 11, 1995, pp.
675681.
 C.S. Chen,
The method of fundamental solutions and quasimonte carlo methods
for Possion equation, Lecture Notes in Statistics, 106, 1995, pp.
158167.
 M.A. Golberg,
C.S. Chen and S.R. Karur, Improve multiquadric interpolation for
partial differential equations, Engineering Analysis with Boundary
Elements, 18, 1996, 917.
 M.A. Golberg
and C.S. Chen, A bibliography on radial basis function approximation,
Boundary Elements Communications, 7 (4), 1996, 155163.
 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, 141148.
 C.S. Chen and
Y.F. Rashed, Evaluation of thin plate spline based particular solution
for Helmholtztype operators for the DRM, Mechanics Research Communications,
25(2), 1998, 195201
 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, 12631278.
 C.S. Chen,
M.A. Golberg and Y.C. Hon, Numerical justification of the method
of fundamental solutions and the quasiMonte Carlo method for Poissontype
equations, Engineering Analysis with Boundary Elements, 22, 1998,
6169.
 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, 469486.
 C.S. Chen,
M.A. Golberg and Y.C. Hon, The method of fundamental solutions and
quasiMonte Carlo method for diffusion equations, International
Journal of Numerical Methods in Engineering, 43, 1998, 14211436.
 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, 275279.
 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, 137150.
 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, 285296.
 A.S. Muleshkov,
M.A. Golberg and C.S. Chen, Particular solutions of Helmholtztype
operators using higher order polyharmonic splines, Computational
Mechanics, 24, 1999, 411419.
 M.A. Golberg,
C.S. Chen and M. Ganesh, Paticular solutions of the 3D modified
Helmholtztype equations using compcatly supported radial basis
functions, Journal of Engineering Analysis with Boundary Elements,
vol. 24, pp 539547, 2000.
 C.S. Chen,
M.A. Golberg, M. Ganesh, A. HD. 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. 555564, 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. 197214, 2001.
 M.A. Golberg,
C.S. Chen , A mesh free method for solving nonlinear reactiondiffusion
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. 377387, 2001.
 Y.F. Rashed,
C.S. Chen and M.A. Golberg, Efficient evaluation of platehalf space
interaction using contour integrals, to appear in Applied Mathematics
Modeling, Vol. 25, pp. 967978, 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
nearsingular 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 115119.
 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, 271276, 1994.
 C.S. Chen and
M. Golberg, A domain embedding method and the quasimonte carlo
method for Poisson's Equation, Boundary Elements XVII, Computational
Mechanics Publications, Boston, Southampton, 1995, 115122.
 C.Y. Chan and
C.S. Chen, Method of fundamental solutions for multidimensional
quenching problems, Proceeding of Dynamic Systems and Applications,
2, ed. G.S. Ladde and M. Sambandham, 1996, 115121.
 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, 299308.
 C.S. Chen and
C.A. Brebbia, The dual reciprocity method for Helmholtztype operators,
Boundary Element Method XX, eds. A. Kassab, C.A. Brebbia, M. Chopra,
Computationa Mechanics Publications, 1998, 495504.
 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. 345354, 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. 561570,
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. 313322, 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. 377386,
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. 615625, 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 2124, 2000
(in CD ROM).
 A.S. Muleshkov,
C.S. Chen, M.A. Golberg and A.HD. Cheng, Analytic particular solutions
for inhomogeneous Helmholtztype equations, Advances in Computational
Engineering & Sciences, eds. S.N. Atluri, F.W. Brust, Tech Science
Press, Vol. 1, pp. 2732, 2000.
 M.A. Golberg,
C.S. Chen and V. Popov, A mesh free method for nonlinear reactiondiffusion
equation, Advances in Computational Engineering & Sciences, eds.
S.N. Atluri, F.W. Brust, Tech Science Press, Vol. 1, pp. 27, 2000
 J. Jerko, C.S.
Chen, B. Sarler, A polygonefree to steady natural convection in
solidliquid 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 Helmholtztype operators,
ICES’01 Conference Proceeding in CD ROM.
