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A Parallel-in-Time-and-Space HPC Framework for a Class of Fractional Evolution Equations

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Publication:2831189
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DOI10.1007/978-3-319-19800-2_9zbMath1352.65319OpenAlexW2312486728MaRDI QIDQ2831189

A. Alyoubi, Mahadevan Ganesh

Publication date: 2 November 2016

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-19800-2_9


zbMATH Keywords

numerical examplecontour integralhigh performance computingquadrature pointsfractional-order space-time evolution equations: tumor growthmodel of anomalous physical processes


Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Parallel numerical computation (65Y05) Fractional partial differential equations (35R11) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)




Cites Work

  • Unnamed Item
  • Numerical solution via Laplace transforms of a fractional order evolution equation
  • Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
  • A Spectral Order Method for Inverting Sectorial Laplace Transforms
  • Exponentially Convergent Algorithms for the Operator Exponential with Applications to Inhomogeneous Problems in Banach Spaces
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