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Numerical Analysis of Two Galerkin Discretizations with Graded Temporal Grids for Fractional Evolution Equations

Numerical analysis of two Galerkin discretizations with graded temporal grids for fractional evolution equations
Authors: Binjie Li; Tao Wang 0050; Xiaoping Xie;

Numerical Analysis of Two Galerkin Discretizations with Graded Temporal Grids for Fractional Evolution Equations

Abstract

Two numerical methods with graded temporal grids are analyzed for fractional evolution equations. One is a low-order discontinuous Galerkin (DG) discretization in the case of fractional order $0

Keywords

graded temporal grid, Numerical Analysis (math.NA), Fractional partial differential equations, convergence analysis, Petrov-Galerkin method, fractional evolution equation, Error bounds for initial value and initial-boundary value problems involving PDEs, discontinous Galerkin discretization, error estimates, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Top 10%
Average
Top 10%
Green
bronze