\texttt{PittPack}: an open-source Poisson's equation solver for extreme-scale computing with accelerators
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Publication:6044768
DOI10.1016/j.cpc.2020.107272arXiv1909.05423OpenAlexW3012146360WikidataQ115045159 ScholiaQ115045159MaRDI QIDQ6044768
Cheng-Nian Xiao, Inanc Senocak, Jaber J. Hasbestan
Publication date: 22 May 2023
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.05423
fast Fourier transformGPU computingpetascale computingchunked-pencil decompositiondirect Poisson solverparallel communication pattern
Cites Work
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- A numerical method for large eddy simulation in complex geometries
- Fast Fourier transforms for direct solution of Poisson's equation with staggered boundary conditions
- Divide and conquer: A parallel algorithm for the solution of a tridiagonal linear system of equations
- Direct solutions for Poisson's equation in three dimensions
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries
- PFFT: An Extension of FFTW to Massively Parallel Architectures
- P3DFFT: A Framework for Parallel Computations of Fourier Transforms in Three Dimensions
- A fast cosine transform in one and two dimensions
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A direct Method for the Discrete Solution of Separable Elliptic Equations
- The Methods of Cyclic Reduction, Fourier Analysis and the FACR Algorithm for the Discrete Solution of Poisson’s Equation on a Rectangle
- A Guide for Implementing Tridiagonal Solvers on GPUs
- Functional Analysis, Spectral Theory, and Applications
- An Algorithm for the Machine Calculation of Complex Fourier Series
- A Fast Direct Solution of Poisson's Equation Using Fourier Analysis
- The fast Fourier transform algorithm: Programming considerations in the calculation of sine, cosine and Laplace transforms
- A Generalized Cyclic Reduction Algorithm
- A Fast Poisson Solver Amenable to Parallel Computation
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
- Introduction to higher analysis. Topological spaces, function theory, ordinary differential equations, measure and integration theory, functional analysis