Exponential Polynomial Block Methods
DOI10.1137/20M1321346OpenAlexW3160046360WikidataQ115525543 ScholiaQ115525543MaRDI QIDQ4997374
Publication date: 29 June 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.00670
parallelismtime-integrationgeneral linear methodspolynomial interpolationexponential integratorshigh-order
Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for stiff equations (65L04)
Related Items (3)
Uses Software
Cites Work
- Construction of highly stable implicit-explicit general linear methods
- A new class of split exponential propagation iterative methods of Runge-Kutta type (sEPIRK) for semilinear systems of odes
- A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)
- Linearly implicit methods for nonlinear PDEs with linear dispersion and dissipation
- Exponential time differencing for stiff systems
- Generalized integrating factor methods for stiff PDEs
- Highly stable implicit-explicit Runge-Kutta methods
- Parallel methods for ordinary differential equations
- A new class of time discretization schemes for the solution of nonlinear PDEs
- Spectral deferred correction methods for ordinary differential equations
- Exponential Runge-Kutta methods for parabolic problems.
- Rooted tree analysis of Runge--Kutta methods with exact treatment of linear terms
- Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs
- Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators
- KIOPS: a fast adaptive Krylov subspace solver for exponential integrators
- Parallel exponential Rosenbrock methods
- Construction of IMEX DIMSIMs of high order and stage order
- A new approach to constructing efficient stiffly accurate EPIRK methods
- Comparison of software for computing the action of the matrix exponential
- Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
- A class of explicit exponential general linear methods
- 50 Years of Time Parallel Time Integration
- The Leja Method Revisited: Backward Error Analysis for the Matrix Exponential
- Exponential integrators
- Implementation of Parallel Adaptive-Krylov Exponential Solvers for Stiff Problems
- A Generalized-Structure Approach to Additive Runge--Kutta Methods
- Algorithm 919
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Parallel High-Order Integrators
- A parallel time integrator for solving the linearized shallow water equations on the rotating sphere
- Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
- Classroom Note:Calculation of Weights in Finite Difference Formulas
- A high-order time-parallel scheme for solving wave propagation problems via the direct construction of an approximate time-evolution operator
- A parallel method for time-discretization of parabolic problems based on contour integral representation and quadrature
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- A Class of Exponential Integrators Based on Spectral Deferred Correction
- Constructing New Time Integrators Using Interpolating Polynomials
- Fourth-Order Time-Stepping for Stiff PDEs
- Block Implicit One-Step Methods
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- General linear methods
This page was built for publication: Exponential Polynomial Block Methods