high performance computing on graphics processing units: hgpu.org

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hgpu.org » Applications » Mathematics

Development of High-Performance Software Components for Emerging Architectures

Stefan Lemvig Glimberg, Allan Peter Engsig-Karup, Allan S. Nielsen, Bernd Dammann

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Tags: Computer science, CUDA, GPGPU, iterative methods, Mathematics, multigrid, Package, parallel computing, Partial differential equations, Software development

March 12, 2014 by apek

GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

R. Gandham, D. S. Medina, T. Warburton

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Tags: Algorithms, ATI, ATI Radeon HD 7970, CUDA, Differential equations, Mathematics, Numerical Analysis, nVidia, OCCA, OpenCL, Partial differential equations, PDEs, Tesla C2050, Tesla K20

March 10, 2014 by hgpu

A GPU Accelerated Aggregation Algebraic Multigrid Method

Rajesh Gandham, Ken Esler, Yongpeng Zhang

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Tags: Algorithms, CUDA, Mathematics, Numerical Analysis, nVidia, Partial differential equations, PDEs, Tesla M2090

March 10, 2014 by hgpu

Multi-scale problems, high performance computing and hybrid numerical methods

Guillaume Balarac, Georges-Henri Cottet, Jean-Mathieu Etancelin, Jean-Baptiste Lagaert, Franck Perignon, Christophe Picard

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Tags: Heterogeneous systems, Mathematics, nVidia, OpenCL, Tesla K20

March 3, 2014 by hgpu

Extending the Generalized Fermat Prime Number Search Beyond One Million Digits Using GPUs

Iain Bethune, Michael Goetz

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Tags: CUDA, Mathematics, nVidia, nVidia GeForce GTX 460, Package

February 27, 2014 by hgpu

ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets

Gitta Kutyniok, Wang-Q Lim, Rafael Reisenhofer

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Tags: CUDA, Image processing, Mathematics, Numerical Analysis, nVidia, nVidia GeForce GTX 650 Ti, Wavelet

February 26, 2014 by hgpu

Fast Hamiltonian Monte Carlo Using GPU Computing

Andrew L. Beam, Sujit K. Ghosh, Jon Doyle

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Tags: Algorithms, Bayesian, CUDA, CULA, Monte Carlo simulation, nVidia, Package, Python, Statistics, Tesla K20

February 19, 2014 by hgpu

GPU acceleration of Newton’s method for large systems of polynomial equations in double double and quad double arithmetic

Jan Verschelde, Xiangcheng Yu

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Tags: Algorithms, CUDA, Extended precision, Linear Algebra, Mathematics, nVidia, Tesla C2050, Tesla K20

January 26, 2014 by hgpu

Optimal polygonal L1 linearization and fast interpolation of nonlinear systems

Guillermo Gallego, Daniel Berjon, Narciso Garcia

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Tags: CUDA, Mathematics, Numerical Analysis, nVidia, nVidia GeForce GTX 580, Optimization

January 2, 2014 by hgpu

Graphics Processing Units in Acceleration of Bandwidth Selection for Kernel Density Estimation

Witold Andrzejewski, Artur Gramacki, Jaroslaw Gramacki

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Tags: Algorithms, CUDA, nVidia, nVidia GeForce GTX 480, Package, Probability, Statistics

December 24, 2013 by hgpu

Augur: a Modeling Language for Data-Parallel Probabilistic Inference

Jean-Baptiste Tristan, Daniel Huang, Joseph Tassarotti, Adam Pocock, Stephen J. Green, Guy L. Steele Jr

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Tags: Bayesian, CUDA, Machine learning, Mathematics, nVidia, nVidia GeForce GTX Titan, Programming Languages, Statistics

December 13, 2013 by hgpu

Multilayered Abstractions for Partial Differential Equations

Graham Robert Markall

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Tags: Algorithms, ATI, ATI Radeon HD 5870, Code generation, CUDA, Differential equations, FEM, Finite element method, Mathematics, MPI, nVidia, nVidia GeForce GTX 280, nVidia GeForce GTX 480, OpenCL, Partial differential equations, PDEs, Software Engineering, Thesis

December 11, 2013 by hgpu

GPUODEBenchmarks: Comparsion of Julia's GPU Kernel based ODE solvers with other open-source GPU ODE solvers

Automating Heterogeneous Parallelism in Numerical Differential Equations

Dat3M: Memory Model Aware Verification

Towards Unified Analysis of GPU Consistency

NVIDIA Federated Learning Application Runtime Environment

Supercharging Federated Learning with Flower and NVIDIA FLARE

Chat AI: A Seamless Slurm-Native Solution for HPC-Based Services

PSCToolkit: solving sparse linear systems with a large number of GPUs

CATBench: Benchmarking Framework

CATBench: A Compiler Autotuning Benchmarking Suite for Black-box Optimization

General-purpose Polyhedral Compilers

A Survey of General-purpose Polyhedral Compilers

Optimal Kernel Orchestration for Tensor Programs with Korch

Astaroth: A Scalable Multi-GPU Library for Stencil Computations

Stencil Computations on AMD and Nvidia Graphics Processors: Performance and Tuning Strategies

Bag of Tricks: Benchmarking of Jailbreak Attacks on LLMs. Empirical tricks for LLM Jailbreaking

Bag of Tricks: Benchmarking of Jailbreak Attacks on LLMs

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high performance computing on graphics processing units: hgpu.org

Applications

Development of High-Performance Software Components for Emerging Architectures

GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

A GPU Accelerated Aggregation Algebraic Multigrid Method

Multi-scale problems, high performance computing and hybrid numerical methods

Extending the Generalized Fermat Prime Number Search Beyond One Million Digits Using GPUs

ShearLab 3D: Faithful Digital Shearlet Transforms based on Compactly Supported Shearlets

Fast Hamiltonian Monte Carlo Using GPU Computing

GPU acceleration of Newton’s method for large systems of polynomial equations in double double and quad double arithmetic

Optimal polygonal L1 linearization and fast interpolation of nonlinear systems

Graphics Processing Units in Acceleration of Bandwidth Selection for Kernel Density Estimation

Augur: a Modeling Language for Data-Parallel Probabilistic Inference

Multilayered Abstractions for Partial Differential Equations

Recent source codes

GPUODEBenchmarks: Comparsion of Julia's GPU Kernel based ODE solvers with other open-source GPU ODE solvers

Dat3M: Memory Model Aware Verification

NVIDIA Federated Learning Application Runtime Environment

Chat AI: A Seamless Slurm-Native Solution for HPC-Based Services

PSCToolkit: solving sparse linear systems with a large number of GPUs

CATBench: Benchmarking Framework

General-purpose Polyhedral Compilers

Optimal Kernel Orchestration for Tensor Programs with Korch

Astaroth: A Scalable Multi-GPU Library for Stencil Computations

Bag of Tricks: Benchmarking of Jailbreak Attacks on LLMs. Empirical tricks for LLM Jailbreaking

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