Partitioned exponential methods for coupled multiphysics systems
From MaRDI portal
Publication:2227738
DOI10.1016/j.apnum.2020.10.020zbMath1462.65130arXiv1908.09434OpenAlexW3095475704WikidataQ115586400 ScholiaQ115586400MaRDI QIDQ2227738
Mahesh Narayanamurthi, Adrian Sandu
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.09434
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Matrix exponential and similar functions of matrices (15A16) Numerical methods for stiff equations (65L04)
Related Items (2)
Linearly Implicit Multistep Methods for Time Integration ⋮ Accelerating Exponential Integrators to Efficiently Solve Semilinear Advection-Diffusion-Reaction Equations
Uses Software
Cites Work
- Construction of highly stable implicit-explicit general linear methods
- Flexible exponential integration methods for large systems of differential equations
- A new class of split exponential propagation iterative methods of Runge-Kutta type (sEPIRK) for semilinear systems of odes
- Exponential-Krylov methods for ordinary differential equations
- A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)
- Partitioned and implicit-explicit general linear methods for ordinary differential equations
- Operator splitting implicit integration factor methods for stiff reaction-diffusion-advection systems
- Semi-Lagrangian Runge-Kutta exponential integrators for convection dominated problems
- Multirate generalized additive Runge Kutta methods
- Contribution à la méthode des équations aux différences. Note bibliographique
- Contractivity of locally one-dimensional splitting methods
- Trees and numerical methods for ordinary differential equations
- Additive and iterative operator splitting methods and their numerical investigation
- Solution of the implicitly discretized fluid flow equations by operator- splitting
- An unconditionally stable staggered algorithm for transient finite element analysis of coupled thermoelastic problems
- Mixed methods for time integration
- Canonical \(B\)-series
- An operator splitting method for nonlinear convection-diffusion equations
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- An analysis of operator splitting techniques in the stiff case
- Preconditioned implicit-exponential integrators (IMEXP) for stiff PDEs
- EPIRK-\(W\) and EPIRK-\(K\) time discretization methods
- A framework for the numerical treatment of aerosol dynamics
- A fast spectral algorithm for nonlinear wave equations with linear dispersion
- Additive Runge-Kutta schemes for convection-diffusion-reaction equations
- Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs
- Algebraic structures of B-series
- Exponential Rosenbrock methods of order five -- construction, analysis and numerical comparisons
- Extrapolation-based implicit-explicit general linear methods
- Numerical methods for stiff reaction-diffusion systems
- Efficient semi-implicit schemes for stiff systems
- Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
- High Order Implicit-explicit General Linear Methods with Optimized Stability Regions
- Rosenbrock--Krylov Methods for Large Systems of Differential Equations
- Exponential integrators
- A Generalized-Structure Approach to Additive Runge--Kutta Methods
- A Class Of Implicit-Explicit Two-Step Runge--Kutta Methods
- A new staggered scheme for fluid-structure interaction
- Algorithm 919
- Extrapolated Implicit-Explicit Time Stepping
- Solving Ordinary Differential Equations I
- Splitting methods
- Entropy production in a two-dimensional reversible Gray-Scott system
- An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator
- Generalized Runge-Kutta Processes for Stiff Initial-value Problems†
- Expokit
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Exponential Integrators for Large Systems of Differential Equations
- Linearly implicit methods for nonlinear parabolic equations
- An Implicit-Explicit Runge--Kutta--Chebyshev Scheme for Diffusion-Reaction Equations
- Solving parameter estimation problems with discrete adjoint exponential integrators
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- New Adaptive Exponential Propagation Iterative Methods of Runge--Kutta Type
- EXTRAPOLATED IMPLICIT–EXPLICIT RUNGE–KUTTA METHODS
- Trees, B-series and exponential integrators
- Exponential Rosenbrock-Type Methods
- Operator Splitting
- Exponential B-Series: The Stiff Case
- Geometric Numerical Integration
- Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
- An Algebraic Theory of Integration Methods
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- Structure-preserving Exponential Runge--Kutta Methods
- Numerical Methods for Ordinary Differential Equations
- Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations
- Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Partitioned exponential methods for coupled multiphysics systems
