A note on exponential Rosenbrock-Euler method for the finite element discretization of a semilinear parabolic partial differential equation
DOI10.1016/j.camwa.2018.07.025zbMath1434.65188arXiv1610.05525OpenAlexW2963535445WikidataQ115359503 ScholiaQ115359503MaRDI QIDQ2293593
Jean Daniel Mukam, Antoine Tambue
Publication date: 5 February 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05525
finite element methodparabolic partial differential equationerrors estimateexponential Rosenbrock-type methodssmooth \& nonsmooth initial data
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Semilinear parabolic equations (35K58)
Related Items (8)
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal regularity for semilinear stochastic partial differential equations with multiplicative noise
- Weak convergence for a stochastic exponential integrator and finite element discretization of stochastic partial differential equation with multiplicative \& additive noise
- A class of explicit multistep exponential integrators for semilinear problems
- Strong convergence of the finite element method with truncated noise for semilinear parabolic stochastic equations with additive noise
- Exponential Rosenbrock integrators for option pricing
- Implementation of exponential Rosenbrock-type integrators
- Semigroups of linear operators and applications to partial differential equations
- Geometric theory of semilinear parabolic equations
- Convergence of Runge-Kutta methods for nonlinear parabolic equations
- Strong convergence analysis of the stochastic exponential Rosenbrock scheme for the finite element discretization of semilinear SPDEs driven by multiplicative and additive noise
- An exponential integrator for finite volume discretization of a reaction-advection-diffusion equation
- A class of explicit exponential general linear methods
- Backward Euler discretization of fully nonlinear parabolic problems
- Weak convergence for a spatial approximation of the nonlinear stochastic heat equation
- Exponential integrators
- An Introduction to Computational Stochastic PDEs
- A note on the Zassenhaus product formula
- An efficient algorithm for computing the Baker–Campbell–Hausdorff series and some of its applications
- On the Discretization in Time of Semilinear Parabolic Equations with Nonsmooth Initial Data
- Error Estimates for Spatially Discrete Approximations of Semilinear Parabolic Equations with Nonsmooth Initial Data
- Non-smooth data error estimates for linearly implicit Runge-Kutta methods
- Stochastic exponential integrators for the finite element discretization of SPDEs for multiplicative and additive noise
- Exponential Rosenbrock-Type Methods
- Optimal error estimates of Galerkin finite element methods for stochastic partial differential equations with multiplicative noise
- Galerkin Finite Element Methods for Parabolic Problems
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- On the exponential solution of differential equations for a linear operator
- Runge-Kutta time discretization of reaction-diffusion and Navier-Stokes equations: Nonsmooth-data error estimates and applications to long-time behaviour
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