Backward differentiation formulae adapted to scalar linear equations

DOI10.1016/S0893-9659(00)00206-8zbMath0974.65072OpenAlexW2076992132MaRDI QIDQ5938971

F. Andrés-Pérez, Jesus Vigo Aguiar

Publication date: 7 August 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(00)00206-8

zbMATH Keywords

constant coefficientsstiff problemsmultistep methodsbackward differentiation formulae

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Numeric multistep variable methods for perturbed linear system integration ⋮ An algorithm for exact integration of some forced and damped oscillatory problems, based in the \(\tau \)-functions ⋮ The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs

Cites Work

• Numerical integration of ordinary differential equations based on trigonometric polynomials
• A General Procedure For the Adaptation of Multistep Algorithms to the Integration of Oscillatory Problems
• A-BDF: A Generalization of the Backward Differentiation Formulae
• Exponential Integrators for Large Systems of Differential Equations
• Unnamed Item

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