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

1995 ◽  
pp. 158-167 ◽  
Author(s):  
C. S. Chen
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Fundamental Solutions ◽  
Poisson’S Equation ◽  
Method Of Fundamental Solutions ◽  
Poisson's Equation ◽  
Quasi Monte Carlo

ON THE CONVERGENCE OF THE MFS–MPS SCHEME FOR 1D POISSON'S EQUATION

2013 ◽  
Vol 10 (02) ◽  
pp. 1341006 ◽  
Author(s):  
C. S. CHEN ◽  
C.-S. HUANG ◽  
K. H. LIN
Keyword(s):  
Homogeneous Solution ◽  
Fundamental Solutions ◽  
Basis Functions ◽  
Poisson’S Equation ◽  
Method Of Fundamental Solutions ◽  
Poisson's Equation ◽  
Numerical Process ◽  
Particular Solution ◽  
Inhomogeneous Problems ◽  
Lagrange Interpolating Polynomial

The method of fundamental solutions (MFS) has been an effective meshless method for solving homogeneous partial differential equations. Coupled with radial basis functions (RBFs), the MFS has been extended to solve the inhomogeneous problems through the evaluation of the approximate particular solution and homogeneous solution. In this paper, we prove the the approximate solution of the above numerical process for solving 1D Poisson's equation converges in the sense of Lagrange interpolating polynomial using the result of Driscoll and Fornberg [2002].

scholarly journals A quasi-Monte Carlo method for computing areas of point-sampled surfaces

2006 ◽  
Vol 38 (1) ◽  
pp. 55-68 ◽  
Author(s):  
Yu-Shen Liu ◽  
Jun-Hai Yong ◽  
Hui Zhang ◽  
Dong-Ming Yan ◽  
Jia-Guang Sun
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Quasi Monte Carlo
Sign in / Sign up

Export Citation Format

Share Document