On approximate implicit Taylor methods for ordinary differential equations

DOI10.1007/s40314-020-01356-8zbMath1476.65122OpenAlexW3096122808WikidataQ115373772 ScholiaQ115373772MaRDI QIDQ1983800

Antonio Baeza, David Zorío, María del Carmen Martí, Raimund Bürger, Pep Mulet

Publication date: 10 September 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01356-8

zbMATH Keywords

explicit schemesimplicit schemesapproximate formulationODE integratorsTaylor methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for stiff equations (65L04)

Related Items (4)

An alternative formulation of the differential quadrature method with a neural network perspective ⋮ Jacobian-free implicit MDRK methods for stiff systems of ODEs ⋮ High resolution compact implicit numerical scheme for conservation laws ⋮ Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws

Uses Software

• RODAS
• TIDES
• Taylor

Cites Work

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• Breaking the limits: The Taylor series method
• Reprint of: ``Approximate Taylor methods for ODEs
• Implicit extension of Taylor series method with numerical derivatives for initial value problems
• Approximate Taylor methods for ODEs
• An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
• Continuous block backward differentiation formula for solving stiff ordinary differential equations
• Algorithm 924
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Finite Difference WENO Schemes with Lax--Wendroff-Type Time Discretizations

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