Rational approximations of trigonometric matrices with application to second-order systems of differential equations-Reference-Cited by-同舟云学术

Rational approximations of trigonometric matrices with application to second-order systems of differential equations

Published:1979-02 Issue:1 Volume:5 Page:75-92
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Serbin Steven M.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference22 articles.

1. Discretization errors for well-set Cauchy problems I;Birkhoff;J. Math. and Phys.,1965

2. J. H. Bramble and G. A. Baker, The construction and analysis of high order single step Galerkin approximations for initial boundary value problems for parabolic equations, to appear.

3. Single step methods for parabolic problems;Baker;Math. Comp.,1977

4. A comparison of Crank-Nicolson and Chebyshev rational methods for numerically solving linear parabolic equations;Cavendish;J. Comp. Phys.,1972

Cited by 20 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. Arbitrary Precision Algorithms for Computing the Matrix Cosine and its Fréchet Derivative;SIAM Journal on Matrix Analysis and Applications;2022-02-17

2. On Bernoulli series approximation for the matrix cosine;Mathematical Methods in the Applied Sciences;2020-11-18

3. A Truncated Taylor Series Algorithm for Computing the Action of Trigonometric and Hyperbolic Matrix Functions;SIAM Journal on Scientific Computing;2018-01

4. Matrix Inverse Trigonometric and Inverse Hyperbolic Functions: Theory and Algorithms;SIAM Journal on Matrix Analysis and Applications;2016-01

5. New Algorithms for Computing the Matrix Sine and Cosine Separately or Simultaneously;SIAM Journal on Scientific Computing;2015-01