High-order Time Stepping Schemes for Semilinear Subdiffusion Equations (Q5134980)

scientific article; zbMATH DE number 7275255

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English	High-order Time Stepping Schemes for Semilinear Subdiffusion Equations	scientific article; zbMATH DE number 7275255

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instance of

scholarly article

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title

High-order Time Stepping Schemes for Semilinear Subdiffusion Equations (English)

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published in

SIAM Journal on Numerical Analysis

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publication date

18 November 2020

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full work available at URL

https://arxiv.org/abs/2003.03607

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zbMATH Keywords

semilinear subdiffusion

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convolution quadrature

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\(k\)-step BDF

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initial correction

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error estimate

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MaRDI profile type

MaRDI publication profile

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cites work

Numerical Approximation of Semilinear Subdiffusion Equations with Nonsmooth Initial Data

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A new difference scheme for the time fractional diffusion equation

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Maximum norm resolvent estimates for elliptic finite element operators

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Maximum-norm estimates for resolvents of elliptic finite element operators

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A Spectrally Accurate Approximation to Subdiffusion Equations Using the Log Orthogonal Functions

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A multi-domain spectral method for time-fractional differential equations

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On the Discretization in Time of Semilinear Parabolic Equations with Nonsmooth Initial Data

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Convolution quadrature time discretization of fractional diffusion-wave equations

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The stability in L\(^q\) of the L\(^2\)-projection into finite element function spaces

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Error Estimates with Smooth and Nonsmooth Data for a Finite Element Method for the Cahn-Hilliard Equation

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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Geometric theory of semilinear parabolic equations

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

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An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

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Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

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Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview

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An analysis of the Crank–Nicolson method for subdiffusion

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Numerical Analysis of Nonlinear Subdiffusion Equations

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Q5699297

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Stochastic modeling in nanoscale biophysics: subdiffusion within proteins

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

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A Space-Time Spectral Method for the Time Fractional Diffusion Equation

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Discretized Fractional Calculus

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Convolution quadrature and discretized operational calculus. I

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Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term

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Time-stepping error bounds for fractional diffusion problems with non-smooth initial data

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A Discontinuous Petrov--Galerkin Method for Time-Fractional Diffusion Equations

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Superconvergence of a Discontinuous Galerkin Method for Fractional Diffusion and Wave Equations

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Gaussian Estimates and Holomorphy of Semigroups

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2

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Generation of Analytic Semigroups by Strongly Elliptic Operators

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Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

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A fully discrete difference scheme for a diffusion-wave system

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Galerkin Finite Element Methods for Parabolic Problems

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An Analysis of the Modified L1 Scheme for Time-Fractional Partial Differential Equations with Nonsmooth Data

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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A unified Petrov-Galerkin spectral method for fractional PDEs

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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Identifiers

zbMATH Open document ID

1452.65252

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DOI

10.1137/19M1261225

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5134980