Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods-Reference-Cited by-同舟云学术

Stiffness detection and estimation of dominant spectrum with explicit Runge-Kutta methods

Published:1998-12 Issue:4 Volume:24 Page:368-382
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Ekeland Kersti¹,Owren Brynjulf¹,Øines Eivor¹

Affiliation:

1. The Norwegian University of Science and Technology

Abstract

A new stiffness detection scheme based on explicit Runge-Kutta methods is proposed. It uses a Krylov subspace approximation to estimate the eigenvalues of the Jacobian of the differential system. The numerical examples indicate that this technique is a worthwhile alternative to other known stiffness detection schemes, especially when the systems are large and when it is desirable to know more about the spectrum of the Jacobian than just the spectral radius.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/293686.287641

Reference12 articles.

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