A Simple Solver for the Fractional Laplacian in Multiple Dimensions (Q5107794)

scientific article; zbMATH DE number 7194364

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English	A Simple Solver for the Fractional Laplacian in Multiple Dimensions	scientific article; zbMATH DE number 7194364

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scholarly article

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title

A Simple Solver for the Fractional Laplacian in Multiple Dimensions (English)

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zbMATH Open document ID

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SIAM Journal on Scientific Computing

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publication date

28 April 2020

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full work available at URL

https://arxiv.org/abs/1802.03770

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Mathematics Subject Classification ID

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hypersingular integrals

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quadrature

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fractional diffusion

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MaRDI profile type

MaRDI publication profile

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A Fractional Laplace Equation: Regularity of Solutions and Finite Element Approximations

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Regularity theory and high order numerical methods for the (1D)-fractional Laplacian

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Aspects of an adaptive finite element method for the fractional Laplacian: a priori and a posteriori error estimates, efficient implementation and multigrid solver

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Hybrid Finite Element--Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver

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Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

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Numerical methods for fractional diffusion

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Numerical approximation of the integral fractional Laplacian

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An Extension Problem Related to the Fractional Laplacian

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Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation

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Q4412314

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The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

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A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem

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The Dirichlet problem for nonlocal operators

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Regularity theory for general stable operators: parabolic equations

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The black-box fast multipole method

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A divide-and-conquer fast finite difference method for space-time fractional partial differential equation

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A preconditioned fast finite difference method for space-time fractional partial differential equations

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A preconditioned fast parareal finite difference method for space-time fractional partial differential equation

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Mean Exit Time and Escape Probability for Dynamical Systems Driven by Lévy Noises

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Nested Dissection of a Regular Finite Element Mesh

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Methods of conjugate gradients for solving linear systems

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The finite difference method for Caputo-type parabolic equation with fractional Laplacian: one-dimension case

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Explicit Barenblatt profiles for fractional porous medium equations

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Numerical Methods for the Fractional Laplacian: A Finite Difference-Quadrature Approach

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Q4858030

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Ten equivalent definitions of the fractional Laplace operator

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

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What is the fractional Laplacian? A comparative review with new results

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Q4740120

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A Spectral Method (of Exponential Convergence) for Singular Solutions of the Diffusion Equation with General Two-Sided Fractional Derivative

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Corrected trapezoidal rules for a class of singular functions

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A second-order accurate numerical method for a fractional wave equation

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Finite difference methods for two-dimensional fractional dispersion equation

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Finite difference approximations for two-sided space-fractional partial differential equations

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The random walk's guide to anomalous diffusion: A fractional dynamics approach

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The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics

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A PDE approach to fractional diffusion in general domains: a priori error analysis

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Multigrid method for fractional diffusion equations

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The Fractional Laplacian

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Nonlocal equations in bounded domains: a survey

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The Dirichlet problem for the fractional Laplacian: regularity up to the boundary

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Regularity theory for general stable operators

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Fractional kinetic equations: solutions and applications

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Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

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Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains

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Numerically solving an equation for fractional powers of elliptic operators

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The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion

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A Fast Finite Difference Method for Two-Dimensional Space-Fractional Diffusion Equations

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A superfast-preconditioned iterative method for steady-state space-fractional diffusion equations

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A kernel-independent adaptive fast multipole algorithm in two and three dimensions

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Fractional Spectral Collocation Method

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

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Fast difference schemes for solving high-dimensional time-fractional subdiffusion equations

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A fast finite difference method for three-dimensional time-dependent space-fractional diffusion equations with fractional derivative boundary conditions

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Mathematics(1 entry)

mardi Publication:5107794