An efficient family of strongly <mml:math altimg="si30.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>A</mml:mi></mml:math>-stable Runge–Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results-Reference-Cited by-同舟云学术

An efficient family of strongly A-stable Runge–Kutta collocation methods for stiff systems and DAEs. Part I: Stability and order results

Published:2010-06 Issue:4 Volume:234 Page:1105-1116
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

González-Pinto S.,Hernández-Abreu D.,Montijano J.I.

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference25 articles.

1. A class of A-stable methods;Axelsson;BIT,1969

2. A-stable methods and Padé approximations to the exponential;Ehle;SIAM J. Math. Anal.,1973

3. High order A-stable methods for the numerical solution of systems of DEs;Ehle;BIT,1968

4. B.L. Ehle, On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems, Research Report CSRR 2010, Dept. AACS, University of Waterloo, Ontario, Canada, 1969

5. Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems;Hairer,1996

Cited by 21 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. NIRK-based mixed-type accurate continuous–discrete Gaussian filters with deterministically sampled expectation and covariance for state estimation in continuous-time stochastic process models with discrete measurements;Journal of the Franklin Institute;2024-05

2. Gaussian Filtering for Stiff Continuous–Discrete Stochastic Modeling Tasks;Studies in Systems, Decision and Control;2024

3. Gaussian Filtering with Deterministically Sampled Expectation and Covariance;Studies in Systems, Decision and Control;2024

4. Unscented Kalman Filtering for Nonlinear Continuous–Discrete Stochastic Systems;Studies in Systems, Decision and Control;2024

5. Accuracy analysis of numerical simulations and noisy data assimilations in two-dimensional stochastic neural fields with infinite signal transmission speed;Journal of the Franklin Institute;2023-01