GPU-based methods for exploring parabolic partial differential equations

DOI10.1216/RMJ-2011-41-2-457zbMath1220.65111MaRDI QIDQ533522

David H. Eberly, Jerrold W. Bebernes

Publication date: 3 May 2011

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite difference methodnumerical examplesparallel computationcombustionnonlinear parabolic PDEgraphics processing unit (GPU)central processing unit (CPU)

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Combustion (80A25) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20)

Uses Software

• CUDA
• NVIDIA PhysX

Cites Work

• Existence of logarithmic-type solutions to the Kapila-Kassoy problem in dimensions 3 through 9
• Mathematical problems from combustion theory
• Solution profiles for some simple combustion models

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