New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type

DOI10.1137/110849961zbMath1259.65121OpenAlexW2059768264MaRDI QIDQ4903735

Paul Tranquilli, John Loffeld, Mayya Tokman

Publication date: 24 January 2013

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/624ab5ede231fd88a68f1dab9db81a68672b2150

zbMATH Keywords

computational complexitynumerical examplesexponential integratorsadaptive Krylov algorithmexponential propagation iterative methods of Runge-Kutta type

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Complexity and performance of numerical algorithms (65Y20) Numerical methods for stiff equations (65L04)

Related Items (19)

Locally linearized Runge-Kutta method of Dormand and Prince for large systems of initial value problems ⋮ Exponential Krylov peer integrators ⋮ A framework of the harmonic Arnoldi method for evaluating \(\varphi\)-functions with applications to exponential integrators ⋮ A new class of split exponential propagation iterative methods of Runge-Kutta type (sEPIRK) for semilinear systems of odes ⋮ Preconditioned implicit-exponential integrators (IMEXP) for stiff PDEs ⋮ On the performance of exponential integrators for problems in magnetohydrodynamics ⋮ Jacobian-free high order local linearization methods for large systems of initial value problems ⋮ A new approach to constructing efficient stiffly accurate EPIRK methods ⋮ Rush-Larsen time-stepping methods of high order for stiff problems in cardiac electrophysiology ⋮ Partitioned exponential methods for coupled multiphysics systems ⋮ EPIRK-\(W\) and EPIRK-\(K\) time discretization methods ⋮ Exponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiology ⋮ Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators ⋮ KIOPS: a fast adaptive Krylov subspace solver for exponential integrators ⋮ Robust and adaptive techniques for numerical simulation of nonlinear partial differential equations of fractional order ⋮ Implicit-Explicit Multirate Infinitesimal GARK Methods ⋮ An accurate approximation of exponential integrators for the Schrödinger equation ⋮ Further development of efficient and accurate time integration schemes for meteorological models ⋮ Exponential Rosenbrock Methods and Their Application in Visual Computing

Uses Software

• Expokit
• Algorithm 919

This page was built for publication: New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type