Rational approximations to matrix exponential for systems of stiff differential equations

DOI10.1016/0021-9991(70)90053-7zbMath0185.41204OpenAlexW2030947203MaRDI QIDQ2536336

H. K. Gummel, James L. Blue

Publication date: 1970

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(70)90053-7

zbMATH Keywords

numerical analysis

Related Items (8)

Unconditionally stable C¹-cubic spline collocation method for solving parabolic equations ⋮ Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system associated with nonlinear Schrödinger equation ⋮ Efficient preconditioners for Radau-IIA time discretization of space fractional diffusion equations ⋮ A Predictor-Corrector Method for a Certain Class of Stiff Differential Equations ⋮ C-polynomials for rational approximation to the exponential function ⋮ An automatic multistep method for solving stiff initial value problems ⋮ Multistep Methods Using Higher Derivatives and Damping at Infinity ⋮ On the efficiency of a class of a-stable methods

Cites Work

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• Chebyshev rational approximations to \(e^{-x}\) in \([0,+\infty)\) and applications to heat-conduction problems
• On Higher Order Stable Implicit Methods for Solving Parabolic Partial Differential Equations
• Stable high order implicit methods for the numerical solution of systems of differential equations
• Numerical Integration of Systems of Stiff Nonlinear Differential Equations

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