Quadrature Methods for Stiff Ordinary Differential Systems

DOI10.2307/2007733zbMath0477.65052OpenAlexW4236823787MaRDI QIDQ3935394

Arieh Iserles

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2007733

zbMATH Keywords

stiff systemsquadrature methodsrational approximationsvariation of constants formulaA-stable

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items

Error control of rational approximations to the exponential function ⋮ A higher order local linearization method for solving ordinary differential equations ⋮ Computing multiple integrals involving matrix exponentials ⋮ Rate of convergence of local linearization schemes for initial-value problems ⋮ Dynamic properties of the local linearization method for initial value problems.

Cites Work

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• Über die Integration von Differentialgleichungssystemen 1. Ordnung mit exponentiell angepassten numerischen Methoden
• On the estimation of errors propagated in the numerical integration of ordinary differential equations
• On Multivalued Exponential Approximations
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
• Some A-Stable Methods for Stiff Ordinary Differential Equations