Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations
DOI10.1137/22m1498127zbMath1529.65069arXiv2209.11922MaRDI QIDQ6113949
Lili Ju, Unnamed Author, Jian-Guo Huang
Publication date: 11 July 2023
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2209.11922
error estimatesfinite element methodfast Fourier transformsemilinear parabolic equationsRunge-Kuttaexponential integrator
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical methods for discrete and fast Fourier transforms (65T50) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Complexity and performance of numerical algorithms (65Y20) Semilinear parabolic equations (35K58)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Array-representation integration factor method for high-dimensional systems
- Exponential time-differencing with embedded Runge-Kutta adaptive step control
- Exponential time differencing for stiff systems
- High-order solution of one-dimensional sine-Gordon equation using compact finite difference and DIRKN methods
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Linear, first and second-order, unconditionally energy stable numerical schemes for the phase field model of homopolymer blends
- Overlapping localized exponential time differencing methods for diffusion problems
- A fast compact exponential time differencing method for semilinear parabolic equations with Neumann boundary conditions
- Exponential Runge-Kutta methods for parabolic problems.
- A composite Runge--Kutta method for the spectral solution of semilinear PDEs
- Explicit exponential Runge-Kutta methods for semilinear parabolic delay differential equations
- An unconditionally stable fast high order method for thermal phase change models
- A fast compact time integrator method for a family of general order semilinear evolution equations
- High order explicit exponential Runge-Kutta methods for semilinear delay differential equations
- Explicit exponential Runge-Kutta methods of high order for parabolic problems
- Fast explicit integration factor methods for semilinear parabolic equations
- Fast high-order compact exponential time differencing Runge-Kutta methods for second-order semilinear parabolic equations
- Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations
- Exponential integrators
- Spectral Methods
- Some Estimates for a Weighted L 2 Projection
- The phase field method for geometric moving interfaces and their numerical approximations
- An Energy-Stable and Convergent Finite-Difference Scheme for the Phase Field Crystal Equation
- Weakly Singular Discrete Gronwall Inequalities
- Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity
- Strong Stability Preserving Integrating Factor Runge--Kutta Methods
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes
- Stabilized Integrating Factor Runge--Kutta Method and Unconditional Preservation of Maximum Bound Principle
- A General Framework of Low Regularity Integrators
- A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model
- A New Class of Efficient and Robust Energy Stable Schemes for Gradient Flows
- Exponential Rosenbrock-Type Methods
- Fourth-Order Time-Stepping for Stiff PDEs
- The Mathematical Theory of Finite Element Methods
- Galerkin Finite Element Methods for Parabolic Problems
- Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants
- Explicit Exponential Runge--Kutta Methods for Semilinear Parabolic Problems
- An exponential method of numerical integration of ordinary differential equations
This page was built for publication: Efficient Exponential Integrator Finite Element Method for Semilinear Parabolic Equations
