Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations
DOI10.1007/s10543-023-00982-yzbMath1522.65146MaRDI QIDQ6173548
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Publication date: 21 July 2023
Published in: BIT (Search for Journal in Brave)
stability and convergencediscrete orthogonal convolution kernelsdiscrete gradient structuretime filtered backward Euler
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Heat equation (35K05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Cites Work
- Unnamed Item
- On the zero stability of the variable order variable stepsize BDF- formulas
- A second order backward difference method with variable steps for a parabolic problem
- Time filters increase accuracy of the fully implicit method
- An embedded variable step IMEX scheme for the incompressible Navier-Stokes equations
- A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD
- Energy stability of BDF methods up to fifth-order for the molecular beam epitaxial model without slope selection
- Mesh-robustness of an energy stable BDF2 scheme with variable steps for the Cahn-Hilliard model
- Stability of Two-Step Methods for Variable Integration Steps
- A Second Order BDF Numerical Scheme with Variable Steps for the Cahn--Hilliard Equation
- A Variable Stepsize, Variable Order Family of Low Complexity
- An adaptive BDF2 implicit time-stepping method for the phase field crystal model
- Stability of Variable-Step BDF2 and BDF3 Methods
- On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- Analysis of adaptive BDF2 scheme for diffusion equations
- Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations
- An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection
- Analysis of the variable step method of Dahlquist, Liniger and Nevanlinna for fluid flow
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