Multigrid Waveform Relaxation for the Time-Fractional Heat Equation
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Publication:5348253
DOI10.1137/16M1090193zbMath1371.65103arXiv1608.05400OpenAlexW2963027558MaRDI QIDQ5348253
Carmen Rodrigo, Francisco José Gaspar
Publication date: 15 August 2017
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.05400
algorithmnumerical experimentscomputational costtime-fractional heat equationmultigrid waveform relaxationsemialgebraic mode analysis
Heat equation (35K05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Complexity and performance of numerical algorithms (65Y20) Fractional partial differential equations (35R11)
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Second order scheme for self-similar solutions of a time-fractional porous medium equation on the half-line ⋮ Semi-Algebraic Mode Analysis For Finite Element Discretisations Of The Heat Equation ⋮ Fourth order compact scheme for space fractional advection-diffusion reaction equations with variable coefficients ⋮ Efficient multigrid reduction-in-time for method-of-lines discretizations of linear advection ⋮ Applications of time parallelization ⋮ Unnamed Item ⋮ Numerical Method for the Time-Fractional Porous Medium Equation ⋮ A multigrid waveform relaxation method for solving the poroelasticity equations ⋮ A Parallel-in-Time Algorithm for High-Order BDF Methods for Diffusion and Subdiffusion Equations ⋮ Numerical modeling of a memory-based diffusivity equation and determination of its fractional order value ⋮ On high-order schemes for tempered fractional partial differential equations ⋮ Waveform relaxation for fractional sub-diffusion equations ⋮ Multigrid methods for time-fractional evolution equations: a numerical study ⋮ Incomplete iterative solution of subdiffusion ⋮ Using hierarchical matrices in the solution of the time-fractional heat equation by multigrid waveform relaxation ⋮ Asymptotic analysis for overlap in waveform relaxation methods for RC type circuits ⋮ Efficient Preconditioning for Time Fractional Diffusion Inverse Source Problems
Uses Software
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