Parallel methods for weakly singular Volterra integral equations on GPUs

DOI10.1016/j.apnum.2016.04.006zbMath1357.65315OpenAlexW2335945953MaRDI QIDQ509411

Beatrice Paternoster, Dajana Conte

Publication date: 9 February 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.04.006

zbMATH Keywords

numerical resultsparallel computingnonlinear equationsemi-discretizationwaveform relaxationgeneral purpose GPU computingfractional diffusion-wave equationsCUDA solverlarge systems of weakly singular Volterra integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Parallel numerical computation (65Y05) Systems of nonlinear integral equations (45G15) Volterra integral equations (45D05) Singular nonlinear integral equations (45G05)

Related Items

Numerical preservation of long-term dynamics by stochastic two-step methods ⋮ Non-stationary wave relaxation methods for general linear systems of Volterra equations: convergence and parallel GPU implementation ⋮ Optimal Schwarz waveform relaxation for fractional diffusion-wave equations ⋮ Optimal control of system governed by nonlinear Volterra integral and fractional derivative equations ⋮ Collocation methods for Volterra integral and integro-differential equations: a review ⋮ New fractional Lanczos vector polynomials and their application to system of Abel-Volterra integral equations and fractional differential equations

Uses Software

• CUDA

Cites Work

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