The stability of pseudospectral-Chebyshev methods-Reference-Cited by-同舟云学术

The stability of pseudospectral-Chebyshev methods

Published:1981 Issue:153 Volume:36 Page:107-118
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Gottlieb David

Abstract

The stability of pseudospectral-Chebyshev methods is demonstrated for parabolic and hyperbolic problems with variable coefficients. The choice of collocation points is discussed. Numerical examples are given for the case of variable coefficient hyperbolic equations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-36-153/S0025-5718-1981-0595045-1/S0025-5718-1981-0595045-1.pdf

Reference5 articles.

1. CBMS-NSF Regional Conference Series in Applied Mathematics, No. 26;Gottlieb, David,1977

2. H. O. Kreiss & J. Oliger, Methods for the Approximate Solution of Time Dependent Problems, G.A.R.P. Publication Series, No. 10, 1973.

3. On time discretizations for spectral methods;Gottlieb, David;Stud. Appl. Math.,1980

4. On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods;Gottlieb, David;SIAM J. Numer. Anal.,1982

5. Pure and Applied Mathematics;Rivlin, Theodore J.,1974

Cited by 58 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. İŞLEVSEL DERECELENDİRİLMİŞ DAİRESEL BİR KANATÇIĞIN TERMOELASTİK DAVRANIŞININ SAYISAL İNCELENMESİ;Kahramanmaraş Sütçü İmam Üniversitesi Mühendislik Bilimleri Dergisi;2022-12-03

2. A Generalized Thermoelastic Behaviour of Isotropic Hollow Cylinder;Türk Doğa ve Fen Dergisi;2022-09-14

3. Spectral method for the diffusion equation with a source term;INT J NONLINEAR ANAL;2022

4. A Simultaneous Planning and Control Method Integrating APF and MPC to Solve Autonomous Navigation for USVs in Unknown Environments;Journal of Intelligent & Robotic Systems;2022-06

5. Numerical modeling of a wave in a nonlinear medium with dissipation;INTERNATIONAL CONFERENCE ON ACTUAL PROBLEMS OF APPLIED MECHANICS - APAM-2021;2022