Exponential Rosenbrock Methods and Their Application in Visual Computing

DOI10.1007/978-3-030-76810-2_3zbMath1477.65107arXiv1805.08337OpenAlexW3186408051MaRDI QIDQ5014041

Dominik L. Michels, Vu Thai Luan

Publication date: 3 December 2021

Published in: Rosenbrock—Wanner–Type Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.08337

zbMATH Keywords

visual computingstiff order conditionsaccurate and efficient simulation(explicit) exponential Rosenbrock integratorsstiff elastodynamic problems

Mathematics Subject Classification ID

Numerical methods for stiff equations (65L04)

Cites Work

• Unnamed Item
• Fourth-order two-stage explicit exponential integrators for time-dependent PDEs
• Exponential time integrators for stochastic partial differential equations in 3D reservoir simulation
• Exponential time differencing for stiff systems
• Generalized integrating factor methods for stiff PDEs
• An efficient exponential time integration method for the numerical solution of the shallow water equations on the sphere
• Exponential Rosenbrock integrators for option pricing
• Implementation of exponential Rosenbrock-type integrators
• Parallel exponential Rosenbrock methods
• Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
• Further development of efficient and accurate time integration schemes for meteorological models
• Explicit exponential Runge-Kutta methods of high order for parabolic problems
• A semi-analytical approach to molecular dynamics
• The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
• Exponential integrators
• Algorithm 919
• Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
• Implicit-Explicit Variational Integration of Highly Oscillatory Problems
• On Krylov Subspace Approximations to the Matrix Exponential Operator
• Exponential Integrators for Large Systems of Differential Equations
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type
• Solving Ordinary Differential Equations II
• Exponential Rosenbrock-Type Methods
• Exponential B-Series: The Stiff Case
• Exponential integrators for stiff elastodynamic problems
• Functions of Matrices
• Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
• An exponential method of numerical integration of ordinary differential equations
• Integration of Stiff Equations

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