Error estimates of the integral deferred correction method for stiff problems

DOI10.1051/m2an/2015072zbMath1364.65151arXiv1312.3574OpenAlexW2461467307MaRDI QIDQ2820346

Sebastiano Boscarino, Jing-Mei Qiu

Publication date: 15 September 2016

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3574

zbMATH Keywords

singular perturbationdifferential algebraic systemintegral deferred correction method

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) 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) Numerical methods for stiff equations (65L04) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11) Numerical analysis (65-XX)

Related Items (4)

Deferred correction methods for ordinary differential equations ⋮ Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear Pdes ⋮ Implicit-Explicit Integral Deferred Correction Methods for Stiff Problems ⋮ Asymptotic Preserving Spectral Deferred Correction Methods for Hyperbolic Systems with Relaxation

Uses Software

• RODAS

Cites Work

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• Differential-Algebraic Equation Index Transformations
• A Theoretical Framework for Proving Accuracy Results for Deferred Corrections

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