A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations-Reference-Cited by-同舟云学术

A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations

Published:1972-10 Issue:2 Volume:10 Page:354-368
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Cavendish J.C,Culham W.E,Varga R.S

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference8 articles.

1. On higher order stable implicit methods for solving parabolic partial differential equations;Varga;J. Math. Phys.,1961

2. Chebyshev rational approximations to e−xin [0, + ∞) and applications to heat-conduction problems;Cony;J. Approximation Theory,1969

3. Matrix Iterative Analysis;Varga,1962

4. A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type;Crank,1947

5. The Flow of Homogeneous Fluids Through Porous Media;Muskat,1937

Cited by 19 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. Richard S. Varga October 9, 1928 – February 25, 2022;Journal of Approximation Theory;2024-01

2. Matrix Functions and the Determinant;Parallelism in Matrix Computations;2015-07-26

3. Stiffness treatment of differential equations for the point reactor dynamic systems;Progress in Nuclear Energy;2014-03

4. Talbot quadratures and rational approximations;BIT Numerical Mathematics;2006-08-17

5. Preconditioning Lanczos Approximations to the Matrix Exponential;SIAM Journal on Scientific Computing;2006-01