Parallel exponential Rosenbrock methods
From MaRDI portal
Publication:2006658
DOI10.1016/j.camwa.2016.01.020zbMath1443.65093OpenAlexW2286249615MaRDI QIDQ2006658
Vu Thai Luan, Alexander Ostermann
Publication date: 11 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2016.01.020
parallel implementationmultiprocessorsexponential Rosenbrock methodsspeedup factorparallel exponential Rosenbrock integratorsstiff order conditions
Related Items
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs ⋮ Multirate Exponential Rosenbrock Methods ⋮ Backward error analysis of polynomial approximations for computing the action of the matrix exponential ⋮ Fourth-order two-stage explicit exponential integrators for time-dependent PDEs ⋮ Efficient exponential time integration for simulating nonlinear coupled oscillators ⋮ Preconditioned implicit-exponential integrators (IMEXP) for stiff PDEs ⋮ The dissipative generalized hydrodynamic equations and their numerical solution ⋮ Efficient exponential methods for genetic regulatory systems ⋮ Implicit-explicit multirate infinitesimal stage-restart methods ⋮ Relaxation Exponential Rosenbrock-Type Methods for Oscillatory Hamiltonian Systems ⋮ Exponential Runge-Kutta parareal for non-diffusive equations ⋮ A New Class of High-Order Methods for Multirate Differential Equations ⋮ High order explicit exponential Runge-Kutta methods for semilinear delay differential equations ⋮ A stability preserved time-integration method for nonlinear advection-diffusion-reaction processes ⋮ An Exponential Time Integrator for the Incompressible Navier--Stokes Equation ⋮ Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations ⋮ D-convergence and conditional GDN-stability of exponential Runge-Kutta methods for semilinear delay differential equations ⋮ Efficient exponential Runge-Kutta methods of high order: construction and implementation ⋮ Further development of efficient and accurate time integration schemes for meteorological models ⋮ Exponentially fitted two-derivative DIRK methods for oscillatory differential equations ⋮ Efficient adaptive step size control for exponential integrators ⋮ Exponential Polynomial Block Methods ⋮ Rosenbrock-Wanner Methods: Construction and Mission ⋮ Exponential Rosenbrock Methods and Their Application in Visual Computing
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Parallel methods for initial value problems
- Parallel-iterated Runge-Kutta methods for stiff ordinary differential equations
- Exponential time differencing for stiff systems
- Parallel solution in time of ODEs: Some achievements and perspectives
- Implementation of exponential Rosenbrock-type integrators
- Parallel methods for ordinary differential equations
- Parallel iteration of symmetric Runge-Kutta methods for nonstiff initial-value problems
- Parallel iterated methods based on multistep Runge-Kutta methods of Radau type
- Parallel iteration across the steps of high-order Runge-Kutta methods for nonstiff initial value problems
- Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
- Exponential integrators
- Implementation of Parallel Adaptive-Krylov Exponential Solvers for Stiff Problems
- Computing the Action of the Matrix Exponential, with an Application to Exponential Integrators
- On the Theory of Parallel Runge—Kutta Methods
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Exponential Integrators for Large Systems of Differential Equations
- Exponential Rosenbrock-Type Methods
- Fourth-Order Time-Stepping for Stiff PDEs
- Parallel methods for integrating ordinary differential equations
- Exponential B-Series: The Stiff Case
- Analysis of the Parareal Time‐Parallel Time‐Integration Method
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- An exponential method of numerical integration of ordinary differential equations
