Investigation of C++ Variadic Templates for Numerical Methods and Finite Difference Schemes

DOI10.1137/19M1282581zbMath1466.65061OpenAlexW3130537801MaRDI QIDQ5857614

Hossein Mahmoodi Darian

Publication date: 1 April 2021

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1282581

zbMATH Keywords

finite difference schemesC++expression templatesCUDAgraphics processing unitvariadic templates

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical algorithms for specific classes of architectures (65Y10) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Software, source code, etc. for problems pertaining to numerical analysis (65-04)

Uses Software

• CUDA
• deal.ii
• FEniCS
• OpenFOAM
• Overture
• Eigen
• ISTL

Cites Work

• The \texttt{deal.II} library, version 8.4
• Automated solution of differential equations by the finite element method. The FEniCS book
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• deal.II—A general-purpose object-oriented finite element library
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics
• Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
• Automatic differentiation in C++ using expression templates and application to a flow control problem

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