high performance computing on graphics processing units: hgpu.org

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hgpu.org » Applications » Mathematics

Computing Reachable Sets via Barrier Methods on SIMD Architectures

Lars Grune, Thomas U. Jahn

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Tags: Algorithms, CUDA, Linear Algebra, Mathematics, nVidia, ODEs, Ordinary differential equations

October 18, 2012 by hgpu

Fast Parallel Implementation of Fractional Packing and Covering Linear Programs

Slobodan Jelic, Soren Laue, Domagoj Matijevic, Patrick Wijerama

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Tags: Algorithms, CUDA, Mathematics, nVidia, Tesla C2070

October 13, 2012 by hgpu

A PCG Implementation of an Elliptic Kernel in an Ocean Global Circulation Model Based on GPU Libraries

Salvatore Cuomo, Pasquale De Michele, Raffaele Farina, Marta Chinnici

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Tags: CUDA, Earth and Space Sciences, Mathematics, Numerical Analysis, nVidia, Tesla S2050

October 9, 2012 by hgpu

Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic

Jan Verschelde, Genady Yoffe

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Tags: Algorithms, CUDA, Extended precision, Mathematical Software, Mathematics, Numerical Analysis, nVidia, Tesla C2050

October 3, 2012 by hgpu

Multi-Moment Methods for PDEs and GPUs for Large-Scale Scientific Computations

Sarah Amalie King

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Tags: Algorithms, CUDA, Differential equations, Mathematics, nVidia, nVidia GeForce GT 640 M, Optimization, Partial differential equations, PDEs, Tesla C2050, Thesis

September 7, 2012 by hgpu

A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations

M. Siebenborn, V. Schulz, S. Schmidt

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Tags: CUDA, Mathematics, Numerical Analysis, nVidia, Tesla M2050

August 26, 2012 by hgpu

Numerical Study of Geometric Multigrid Methods on CPU–GPU Heterogeneous Computers

Chunsheng Feng, Shi Shu, Jinchao Xu, Chen-Song Zhang

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Tags: Computational Physics, CUDA, Differential equations, FFT, Heterogeneous systems, Mathematics, Numerical Analysis, nVidia, nVidia GeForce GTX 480, Partial differential equations, PDEs, Poisson equation

August 22, 2012 by hgpu

Real root isolation for univariate polynomials on GPUs and multicores

Alexandre Temperville

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Tags: Computer science, CUDA, FFT, Mathematics, nVidia, Thesis

August 15, 2012 by hgpu

Optimizing the Computation of Eigenvalues Using Graphics Processing Units

Ion Lungu, Alexandru Pirjan, Dana-Mihaela Petrosanu

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Tags: Computer science, CUDA, Linear Algebra, Mathematics, nVidia, nVidia GeForce GTX 480

August 15, 2012 by hgpu

Massive parallelization of serial inference algorithms for a complex generalized linear model

Marc A. Suchard, Shawn E. Simpson, Ivan Zorych, Patrick Ryan, David Madigan

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Tags: Algorithms, CUDA, Databases, Mathematics, nVidia, Statistics, Tesla C2050

August 9, 2012 by hgpu

GPU-based Assembly of Stiffness Matrices in the Parallel Multilevel Partition of Unity Method

Sebastian Kanis

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Tags: Differential equations, Mathematics, nVidia, nVidia GeForce GTX 560 Ti, Partial differential equations, PDEs, Thesis

July 5, 2012 by hgpu

Fast Adaptive Sampling Technique for Multi-Dimensional Integral Estimation Using GPUs

Pradeep Rao, Sayantan Mitra, Foy Nathanael, G. N. Srinivasa Prasanna

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Tags: CUDA, Mathematics, nVidia, nVidia GeForce GTX 480, Physics

May 15, 2012 by hgpu

SimSYCL: Synchronous, single-threaded, library-only SYCL implementation for debugging and verification

SimSYCL: A SYCL Implementation Targeting Development, Debugging, Simulation and Conformance

gpu_tracker: Context manager and CLI that tracks the computational-resource-usage of a code block or shell command, particularly the GPU usage

gpu_tracker: Python package for tracking and profiling GPU utilization in both desktop and high-performance computing environments

CIFAR-10 Airbench: 94% on CIFAR-10 in 3.29 second

94% on CIFAR-10 in 3.29 Seconds on a Single GPU

LOOPer: a polyhedral compiler for expressing fast and portable data parallel algorithms

LOOPer: A Learned Automatic Code Optimizer For Polyhedral Compilers

OpenMC Monte Carlo Code

Performance Portable Monte Carlo Particle Transport on Intel, NVIDIA, and AMD GPUs

Polygeist: C/C++ frontend for MLIR

Retargeting and Respecializing GPU Workloads for Performance Portability

Parallel Gaussian process with kernel approximation in CUDA

See all packages

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high performance computing on graphics processing units: hgpu.org

Applications

Computing Reachable Sets via Barrier Methods on SIMD Architectures

Fast Parallel Implementation of Fractional Packing and Covering Linear Programs

A PCG Implementation of an Elliptic Kernel in an Ocean Global Circulation Model Based on GPU Libraries

Orthogononalization on a general purpose graphics processing unit with double double and quad double arithmetic

Multi-Moment Methods for PDEs and GPUs for Large-Scale Scientific Computations

A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations

Numerical Study of Geometric Multigrid Methods on CPU–GPU Heterogeneous Computers

Real root isolation for univariate polynomials on GPUs and multicores

Optimizing the Computation of Eigenvalues Using Graphics Processing Units

Massive parallelization of serial inference algorithms for a complex generalized linear model

GPU-based Assembly of Stiffness Matrices in the Parallel Multilevel Partition of Unity Method

Fast Adaptive Sampling Technique for Multi-Dimensional Integral Estimation Using GPUs

Recent source codes

SimSYCL: Synchronous, single-threaded, library-only SYCL implementation for debugging and verification

GPU plugin for PySCF

QArray

Celerity: High-level C++ for Accelerator Clusters

gpu_tracker: Context manager and CLI that tracks the computational-resource-usage of a code block or shell command, particularly the GPU usage

CIFAR-10 Airbench: 94% on CIFAR-10 in 3.29 second

LOOPer: a polyhedral compiler for expressing fast and portable data parallel algorithms

OpenMC Monte Carlo Code

Polygeist: C/C++ frontend for MLIR

Parallel Gaussian process with kernel approximation in CUDA

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