Error inhibiting block one-step schemes for ordinary differential equations

DOI10.1007/s10915-017-0441-8zbMath1381.65062arXiv1701.08568OpenAlexW2583449845MaRDI QIDQ1691391

Sigal Gottlieb, Adi Ditkowski

Publication date: 16 January 2018

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08568

zbMATH Keywords

stabilitynumerical examplescomputational efficiencygeneral linear methodslinear multistep methodglobal errorlocal truncation errorone-step methodserror inhibiting schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Complexity and performance of numerical algorithms (65Y20)

Related Items (5)

Construction and comparative study of second order time stepping methods based on IQ and IMQ-RBFs ⋮ Explicit and implicit error inhibiting schemes with post-processing ⋮ Two-Derivative Error Inhibiting Schemes and Enhanced Error Inhibiting Schemes ⋮ Adaptive radial basis function methods for initial value problems ⋮ Trees and B-series

Uses Software

• PDE2D

Cites Work

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• On explicit two-derivative Runge-Kutta methods
• Diagonally-implicit multi-stage integration methods
• On one-step methods utilizing the second derivative
• On explicit one-step methods utilizing the second derivative
• Runge Kutta processes with multiple nodes
• On Turan type implicit Runge-Kutta methods
• High Order Finite Difference Schemes for the Heat Equation Whose Convergence Rates are Higher Than Their Truncation Errors
• Survey of the stability of linear finite difference equations
• The Numerical Solution of Ordinary and Partial Differential Equations
• Block Implicit One-Step Methods
• A Runge-Kutta for all Seasons
• Numerical Methods for Ordinary Differential Equations

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