Time-accurate and highly-stable explicit peer methods for stiff differential problems
From MaRDI portal
Publication:2685817
DOI10.1016/j.cnsns.2023.107136OpenAlexW4317935118MaRDI QIDQ2685817
Dajana Conte, Giovanni Pagano, Beatrice Paternoster
Publication date: 23 February 2023
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107136
stiff differential equationsexponential integratorsexplicit parallelizable peer methodsTASE-RK and TASE-peer methods
Numerical methods for ordinary differential equations (65Lxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) General theory for ordinary differential equations (34Axx)
Related Items
Uses Software
Cites Work
- Exponential peer methods
- Variable-stepsize doubly quasi-consistent parallel explicit peer methods with global error control
- Partially implicit peer methods for the compressible Euler equations
- On the derivation of explicit two-step peer methods
- A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.
- Exponential time differencing for stiff systems
- Evaluating matrix functions for exponential integrators via Carathéodory-Fejér approximation and contour integrals
- Doubly quasi-consistent parallel explicit peer methods with built-in global error estimation
- Strong stability preserving explicit peer methods
- Parameter optimization for explicit parallel peer two-step methods
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- Implications of order reduction for implicit Runge-Kutta methods
- Operations on oscillatory functions
- Parallel `peer' two-step W-methods and their application to MOL-systems.
- Error propagation for implicit-explicit general linear methods
- Doubly quasi-consistent fixed-stepsize numerical integration of stiff ordinary differential equations with implicit two-step peer methods
- Optimally zero stable explicit peer methods with variable nodes
- Numerical preservation of long-term dynamics by stochastic two-step methods
- Implicit parallel peer methods for stiff initial value problems
- Numerical search for algebraically stable two-step almost collocation methods
- Metastability as a coexistence mechanism in a model for dryland vegetation patterns
- Efficient exponential Runge-Kutta methods of high order: construction and implementation
- Nonstandard finite differences numerical methods for a vegetation reaction-diffusion model
- Time-accurate and highly-stable explicit operators for stiff differential equations
- A note on the stability of time-accurate and highly-stable explicit operators for stiff differential equations
- Two-step peer methods with equation-dependent coefficients
- Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme
- Exponentially fitted two-step peer methods for oscillatory problems
- Efficient computation of phi-functions in exponential integrators
- Adapted explicit two-step peer methods
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Exponentially fitted IMEX methods for advection-diffusion problems
- W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems
- Extrapolation-based super-convergent implicit-explicit peer methods with A-stable implicit part
- Explicit two-step peer methods
- Extrapolation-based implicit-explicit general linear methods
- Multi-implicit peer two-step W-methods for parallel time integration
- Contributions to the mathematics of the nonstandard finite difference method and applications
- Exponential integrators
- Algorithm 919
- Exponential Runge–Kutta Methods for Stiff Kinetic Equations
- Calculation of denominator functions for nonstandard finite difference schemes for differential equations satisfying a positivity condition
- On Order Reduction for Runge–Kutta Methods Applied to Differential/Algebraic Systems and to Stiff Systems of ODEs
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Exponential Integrators for Large Systems of Differential Equations
- Parallel Two-Step W-Methods with Peer Variables
- Variable Step-Size Control Based on Two-Steps for Radau IIA Methods
- Simple bespoke preservation of two conservation laws
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- Numerical Methods for Ordinary Differential Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item