The Method of Fundamental Solutions and the Quasi-Monte Carlo Method for Poisson’s Equation-Reference-Cited by-同舟云学术

The Method of Fundamental Solutions and the Quasi-Monte Carlo Method for Poisson’s Equation

Published:1995 Issue: Volume: Page:158-167
ISSN:0930-0325
Container-title:Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing
language:
Short-container-title:

Author:

Chen C. S.

Publisher

Springer New York

Link

http://link.springer.com/content/pdf/10.1007/978-1-4612-2552-2_8.pdf

Reference14 articles.

1. K.E. Atkinson, The Numerical Evaluation of Particular Solutions for Poisson’s Equation, IMA Journal of Numerical Analysis, 5, (1985), 319 – 338.

2. A. Bogomolny, Fundamental solutions method for elliptic boundary value problems, SIAM J. Numer. Anal., 22 (1985), 644 – 669.

3. R.S.C. Cheng, Delta-Trigonometric and Spline - Trigonometric Methods Using the Single Layer Potential Representation, Univ. of Maryland Ph.D. Thesis, 1987.

4. C.S. Chen, The Method of Fundamental Solutions for Nonlinear Thermal Explosions, to appear in Communication in Numerical Method in Engineering.

5. G.S. Gipson, The Coupling Monte Carlo Integration with Boundary Integral Techniques to Solve Poisson-type Problems, Engineering Analysis with Boundary Elements, Vol. 2, (1985), 138 – 145.

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Many names of the Trefftz method;Engineering Analysis with Boundary Elements;2018-11

2. ON THE CONVERGENCE OF THE MFS–MPS SCHEME FOR 1D POISSON'S EQUATION;International Journal of Computational Methods;2013-03

3. A Particular Solution Trefftz Method for Non-linear Poisson Problems in Heat and Mass Transfer;Journal of Computational Physics;1999-03

4. Simulation of diffusion using quasi-random walk methods;Mathematics and Computers in Simulation;1998-08

5. Numerical justification of fundamental solutions and the quasi-Monte Carlo method for Poisson-type equations;Engineering Analysis with Boundary Elements;1998-07