Long-time Accurate Symmetrized Implicit-explicit BDF Methods for a Class of Parabolic Equations with Non-self-adjoint Operators

DOI10.1137/18M1227536WikidataQ126393923 ScholiaQ126393923MaRDI QIDQ5210542

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Publication date: 21 January 2020

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

zbMATH Keywords

parabolic equationerror estimatebackward difference formulaimplicit-explicitlong-time stabilityStokes-Darcy systeminitial correctionnon-self-adjiont operatorsectorial angle

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to abstract evolution equations (65J08)

Related Items (10)

Analysis of a Fully Discrete Finite Element Method for Parabolic Interface Problems with Nonsmooth Initial Data ⋮ A Uniform Spectral Analysis for a Preconditioned All-at-Once System from First-Order and Second-Order Evolutionary Problems ⋮ Nonlocal-In-Time Dynamics and Crossover of Diffusive Regimes ⋮ Second-order Numerical method for coupling of slightly compressible Brinkman flow with advection-diffusion system in fractured media ⋮ High-order Time Stepping Schemes for Semilinear Subdiffusion Equations ⋮ High-order BDF fully discrete scheme for backward fractional Feynman-Kac equation with nonsmooth data ⋮ The unified theory of shifted convolution quadrature for fractional calculus ⋮ The Energy Technique for the Six-Step BDF Method ⋮ A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations ⋮ Backward difference formulae: the energy technique for subdiffusion equation

Uses Software

• RODAS

Cites Work

• Unnamed Item
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