Setup of Order Conditions for Splitting Methods

DOI10.1007/978-3-319-45641-6_3zbMath1453.65115arXiv1605.00445OpenAlexW2345579256MaRDI QIDQ2829989

Winfried Auzinger, Harald Hofstätter, Othmar Koch, Wolfgang N. Herfort

Publication date: 9 November 2016

Published in: Computer Algebra in Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.00445

zbMATH Keywords

evolution equationsTaylor expansionlocal errorsplitting methodsparallel processingorder conditions

Mathematics Subject Classification ID

Numerical solutions to abstract evolution equations (65J08)

Related Items (2)

High-Order Operator Splitting for the Bidomain and Monodomain Models ⋮ A comparison of fourth-order operator splitting methods for cardiac simulations

Uses Software

• Maple

Cites Work

• Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes
• Defect-based local error estimators for high-order splitting methods involving three linear operators
• Génération d'une section des classes de conjugaison et arbre des mots de Lyndon de longueur bornée. (Generation of a section of conjugation classes and trees of Lyndon words of bounded length)
• New families of symplectic splitting methods for numerical integration in dynamical astronomy
• Spatially Partitioned Embedded Runge--Kutta Methods
• Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
• Geometric Numerical Integration

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