Computing with B-series

DOI10.1145/3573384MaRDI QIDQ6601369

David I. Ketcheson, Hendrik Ranocha

Publication date: 10 September 2024

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

zbMATH Keywords

discretizationordinary differential equationsRunge-Kutta methodsbackward error analysisrooted treesB-seriescomposition methods

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Cites Work

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• Energy-preserving integrators and the structure of B-series
• Order conditions for numerical methods for partitioned ordinary differential equations
• On the Butcher group and general multi-value methods
• Symbolic derivation of Runge-Kutta methods
• Algebraic structures of B-series
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Low-cost Runge-Kutta integrators for incompressible flow simulations
• Symbolic derivation of Runge-Kutta order conditions
• Julia: A Fresh Approach to Numerical Computing
• Solving Ordinary Differential Equations I
• Energy Stability of Explicit Runge--Kutta Methods for Nonautonomous or Nonlinear Problems
• A Matlab package for automatically generating Runge-Kutta trees, order conditions, and truncation error coefficients
• Constant Time Generation of Rooted Trees
• Geometric integration using discrete gradients
• Symplectic Methods Based on Decompositions
• High-performance symbolic-numerics via multiple dispatch
• A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
• Energy-preserving Runge-Kutta methods
• A new class of energy-preserving numerical integration methods
• An Algebraic Theory of Integration Methods
• B-series and B-series Coefficients
• B-Series
• Numerical Methods for Ordinary Differential Equations

Related Items (2)

Multiderivative time integration methods preserving nonlinear functionals via relaxation ⋮ An explicit 16-stage Runge-Kutta method of order 10 discovered by numerical search

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