The BCH-Formula and Order Conditions for Splitting Methods

DOI10.1007/978-3-319-62181-4_4zbMath1476.65082arXiv1604.01190OpenAlexW2340119941MaRDI QIDQ4608812

Mechthild Thalhammer, Winfried Auzinger, Othmar Koch, Wolfgang N. Herfort

Publication date: 28 March 2018

Published in: Lie Groups, Differential Equations, and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01190

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical solutions to abstract evolution equations (65J08)

Cites Work

• Unnamed Item
• Unnamed Item
• Practical splitting methods for the adaptive integration of nonlinear evolution equations. I: Construction of optimized schemes and pairs of schemes
• 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)
• Practical symplectic partitioned Runge-Kutta and Runge-Kutta-Nyström methods
• On the convergence and optimization of the Baker-Campbell-Hausdorff formula
• Defect-based local error estimators for splitting methods, with application to Schrödinger equations. II: Higher-order methods for linear problems.
• Optimized high-order splitting methods for some classes of parabolic equations
• Splitting and composition methods in the numerical integration of differential equations
• Exponential splitting for unbounded operators
• High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
• Splitting methods
• DETERMINING EQUATIONS FOR HIGHER-ORDER DECOMPOSITIONS OF EXPONENTIAL OPERATORS
• Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
• An algebraic theory of order
• Geometric Numerical Integration