The unified theory of shifted convolution quadrature for fractional calculus (Q1983165)

scientific article; zbMATH DE number 7395830

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English	The unified theory of shifted convolution quadrature for fractional calculus	scientific article; zbMATH DE number 7395830

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instance of

scholarly article

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title

The unified theory of shifted convolution quadrature for fractional calculus (English)

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author

Yanyan Li

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published in

Journal of Scientific Computing

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publication date

15 September 2021

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full work available at URL

https://arxiv.org/abs/1908.01136

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zbMATH Keywords

shifted convolution quadrature

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convolution quadrature

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generating functions

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fractional calculus

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stability regions

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MaRDI profile type

Publication

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cites work

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Developing Finite Element Methods for Maxwell's Equations in a Cole–Cole Dispersive Medium

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Fractional differentiation matrices with applications

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Fast algorithm based on TT-M FE system for space fractional Allen-Cahn equations with smooth and non-smooth solutions

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A new difference scheme for the time fractional diffusion equation

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Discretized Fractional Calculus

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A new second-order midpoint approximation formula for Riemann–Liouville derivative: algorithm and its application

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An explicit form for higher order approximations of fractional derivatives

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High-Order Approximation to Caputo Derivatives and Caputo-type Advection–Diffusion Equations: Revisited

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Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

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Too much regularity may force too much uniqueness

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Local discontinuous Galerkin method for a nonlinear time-fractional fourth-order partial differential equation

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High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation

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A high-order compact finite difference scheme for the fractional sub-diffusion equation

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Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation

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A Stability Analysis of Convolution Quadraturea for Abel-Volterra Integral Equations

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

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Identifiers

Mathematics Subject Classification ID

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10.1007/S10915-021-01630-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:1983165