Approximate Taylor methods for ODEs

DOI10.1016/j.compfluid.2017.10.001zbMath1390.65051OpenAlexW2763005372MaRDI QIDQ1648616

Giovanni Russo, David Zorío, Antonio Baeza, Pep Mulet, Sebastiano Boscarino

Publication date: 27 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2017.10.001

zbMATH Keywords

Faà di Bruno's formulaODE integratorsTaylor methods

Mathematics Subject Classification ID

Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (5)

Quadratized Taylor series methods for ODE numerical integration ⋮ On approximate implicit Taylor methods for ordinary differential equations ⋮ Asymptotic Structure of Cosmological Burgers Flows in One and Two Space Dimensions: A Numerical Study ⋮ Preface to the special issue ``Recent progress in numerical methods for nonlinear time-dependent flow \& transport problems ⋮ On a class of conjugate symplectic Hermite-Obreshkov one-step methods with continuous spline extension

Uses Software

• Taylor

Cites Work

• An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws
• Solving Ordinary Differential Equations I
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods
• Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form
• Numerical Methods for Ordinary Differential Equations

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