A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations (Q5864756)

scientific article; zbMATH DE number 7538530

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English	A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations	scientific article; zbMATH DE number 7538530

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instance of

scholarly article

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title

A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations (English)

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Numerical Mathematics: Theory, Methods and Applications

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publication date

8 June 2022

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full work available at URL

https://arxiv.org/abs/2003.07020

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zbMATH Keywords

backwards difference formula

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all-at-once discretization

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parallel-in-time preconditioning

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Krylov subspace solver

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fractional diffusion equation

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describes a project that uses

ma2dfc

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PARALAAOMPI

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MaRDI profile type

MaRDI publication profile

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cites work

Q3841797

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Parallel multistep methods for linear evolution problems

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Definition of the Riesz derivative and its application to space fractional quantum mechanics

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Block structured preconditioners in tensor form for the all-at-once solution of a finite volume fractional diffusion equation

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Backward differentiation formula finite difference schemes for diffusion equations with an obstacle term

0 references

Low-rank solvers for fractional differential equations

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Q4846444

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Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative

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

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Preconditioning of Block Toeplitz Matrices by Sine Transforms

0 references

Spectral analysis and structure preserving preconditioners for fractional diffusion equations

0 references

Error of the two-step BDF for the incompressible Navier-Stokes problem

0 references

GPU Accelerated Algorithms for Computing Matrix Function Vector Products with Applications to Exponential Integrators and Fractional Diffusion

0 references

50 Years of Time Parallel Time Integration

0 references

Time Parallelization for Nonlinear Problems Based on Diagonalization

0 references

Analysis of a New Space-Time Parallel Multigrid Algorithm for Parabolic Problems

0 references

A note on parallel preconditioning for all-at-once evolutionary PDEs

0 references

Strang-type preconditioners for solving fractional diffusion equations by boundary value methods

0 references

A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel

0 references

Updating the Inverse of a Matrix

0 references

A fourth-order approximation of fractional derivatives with its applications

0 references

Fractional centered difference scheme for high-dimensional integral fractional Laplacian

0 references

A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction–diffusion equation

0 references

Adaptive version of simpler GMRES

0 references

Q5699297

0 references

<i>A priori</i>diffusion-uniform error estimates for nonlinear singularly perturbed problems: BDF2, midpoint and time DG

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Fast algorithms for high-order numerical methods for space-fractional diffusion equations

0 references

Finite difference/Galerkin finite element methods for a fractional heat conduction‐transfer equation

0 references

Second-order BDF time approximation for Riesz space-fractional diffusion equations

0 references

An All-at-Once Preconditioner for Evolutionary Partial Differential Equations

0 references

Backward difference time discretization of parabolic differential equations on evolving surfaces

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Parallelization in time through tensor-product space-time solvers

0 references

Preconditioning and Iterative Solution of All-at-Once Systems for Evolutionary Partial Differential Equations

0 references

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

0 references

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

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On large start-up error of BDF2

0 references

Fast numerical contour integral method for fractional diffusion equations

0 references

Matrix approach to discrete fractional calculus. II: Partial fractional differential equations

0 references

A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

0 references

Q2768030

0 references

Superlinear PCG methods for symmetric Toeplitz systems

0 references

A class of second order difference approximations for solving space fractional diffusion equations

0 references

Solving time‐periodic fractional diffusion equations via diagonalization technique and multigrid

0 references

Fast parareal iterations for fractional diffusion equations

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Acceleration of the Two-Level MGRIT Algorithm via the Diagonalization Technique

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Backward difference formulae and spectral Galerkin methods for the Riesz space fractional diffusion equation

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General linear and spectral Galerkin methods for the Riesz space fractional diffusion equation

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Numerical methods for fractional partial differential equations with Riesz space fractional derivatives

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Parallel-in-time multigrid for space-time finite element approximations of two-dimensional space-fractional diffusion equations

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Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations

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Implicit Runge-Kutta and spectral Galerkin methods for Riesz space fractional/distributed-order diffusion equation

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A preconditioning technique for all-at-once system from the nonlinear tempered fractional diffusion equation

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Identifiers

zbMATH Open document ID

1499.65104

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DOI

10.4208/nmtma.OA-2020-0020

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5864756