Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations
DOI10.1007/S40314-022-02175-9OpenAlexW4313594967MaRDI QIDQ2685296
Publication date: 20 February 2023
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-022-02175-9
stabilityerror estimatessemilinear parabolic equationsimplicit-explicit methodsNewton linearized methodsvariable step-sizes BDF methods
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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)
Cites Work
- Fully implicit, linearly implicit and implicit-explicit backward difference formulae for quasi-linear parabolic equations
- Une méthode multipas implicite-explicite pour l'approximation des équations d'évolution paraboliques
- Linearized \(\Theta\)-methods. II: Reaction-diffusion equations
- Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
- On the stability of implicit-explicit linear multistep methods
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Implicit-explicit methods for reaction-diffusion problems in pattern formation
- An implicit-explicit approach for atmospheric transport-chemistry problems
- Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations
- Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations
- Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator
- Linearized \(\Theta\)-methods. I: Ordinary differential equations
- Stability and error of the variable two-step BDF for semilinear parabolic problems
- Stability Restrictions on Second Order, Three Level Finite Difference Schemes for Parabolic Equations
- A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
- Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
- On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
- On the Variable Two-Step IMEX BDF Method for Parabolic Integro-differential Equations with Nonsmooth Initial Data Arising in Finance
- Error of the two-step BDF for the incompressible Navier-Stokes problem
- Numerical Valuation of European and American Options under Kou's Jump-Diffusion Model
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