High Performance Math Software

Catalog

Part of the National HPCC Software Exchange (NHSE)

• Numerical Programs and Routines
  • Differential and Integral Equations
    • Integral equations
    • Ordinary differential equations
    • Partial differential equations
  • Graph and mesh partitioning
  • Linear algebra
  • Miscellaneous
  • Optimization

Numerical Programs and Routines

PETSc portable, extensible toolkit for scientific computation

Differential and Integral Equations

Integral equations

Ordinary differential equations

Partial differential equations

//ELLPACK problem solving environment for PDE based applications

BNALib A BASIC Numerical Analysis Library

DAGH - Distributed Adaptive Grid Hierarchy provides the framework to solve systems of partial differential equations using adaptive finite difference methods.

Diffpack the ojbect-oriented toolkit for numerical solution of PDEs

DOUG - Domain decomposition On Unstructured Grids a black box parallel iterative solver for finite element systems arising from elliptic partial differential equations.

MODULEF finite element library

MUDPACK a collection of vectorized portable Fortran 77/90 subprograms which efficiently solve linear elliptic Partial Differential Equations (PDEs) using multigrid iteration

Unstructured Grids (UG) for the adaptive multigrid solution of partial differential equations

VECFEM - VECtorized Finite Element Method for solution of nonlinear PDEs

Graph and mesh partitioning

CHACO software for partitioning and ordering graphs

GEOMPACK for generation of finite element meshes using geometric algorithms

GRUMMP (Generation and Refinement of Unstructured Mixed-Element Meshes in Parallel) automatic mesh generation software for unstructured meshes with mixed element types

JOSTLE mesh partitioning software

METIS unstructured graph partitioning and sparse matrix ordering system

ParMETIS A Parallel Graph Partitioning and Sparse Matrix Ordering Library

PARTY graph partitioning library

PMHS - 3D Parallel Multigrid Helmholtz Solver See Abstract

PPGP A Parallel Partitioner for Unstructured Grids and Random Particles

SCOTCH Static Mapping and Graph Partitioning Package for mapping a weighted source process graph onto a weighted target architecture graph

Triangle a 2D finite element mesh generator and Delaunay triangulator

Linear algebra

ATLAS (Automatically Tuned Linear Algrebra Software) is an approach for the automatic generation and optimization of numerical software for processors with deep memory hierarchies and pipelined functional units.

Aztec a parallel iterative library for solving sparse linear systems

BLACS Basic Linear Algebra Communication Subprograms

BLAS (Basic Linear Algebra Subroutines) building blocks for constructing efficient and portable linear algebra software for high-performance computers.

Blitz++ Scientific Computing in C++

BlockSolve for solution of large, sparse linear systems on massively parallel computers

BNALib A BASIC Numerical Analysis Library

CAPSS sparse direct linear systems software

Complex Dense Linear Solver None Available

Elegant Mathematics Iterative Solvers preconditioners and iterative methods for solving very large linear systems

f2j Fortran to Java converter

GAMS D1b6. Matrix Multiplication scalable implementation of common matrix multiplication operations

General Purpose Solver (GPS) high performance solvers for linear systems of equations that arise from structural engineering, electromagnetics, and other scientific and engineering applications

GMRES for real and complex, single and double precision arithmetics suitable for serial, shared memory and distributed memory computers

IML++ (Iterative Methods Library) a C++ templated library of modern iterative methods for solving linear systems of equations

Intel Performance Library Suite a set of libraries optimized for Intel processors addressing linear algebra, signal processing, and speech and character recognition requirements.

LAPACK is a library of numerical linear algebra subroutines designed for high performance on workstations, vector computers, and shared memory multiprocessors

LASPack for solving large sparse systems of linear equations such as those arising from discretization of partial differential equations

Matrix Template Library (MTL) is a high-performance generic component library that provides comprehensive linear algebra functionality for a wide variety of matrix formats

MP_SOLVE is used to solve sparse, irregular systems of equations with multiple right-hand sides on distributed memory, multiprocessor computers having the MPI communications library

NIST Sparse BLAS computational kernels for fundamental sparse matrix operations

P-SPARSLIB a portable library of distributed memory sparse iterative solvers

Parallel Iterative Methods (PIM) Package a collection of Fortran 77 routines designed to solve systems of linear equations (SLEs) on parallel computers using a variety of iterative methods.

PARPACK for solving large scale eigenvalue problems on distributed memory parallel architectures

PARPRE parallel preconditioners for large sparse iterative solvers

PCG - parallel Preconditioned Conjugate Gradient package for solving sparse linear systems by iterative methods on scalar, vector, and parallel computers

PETSc portable, extensible toolkit for scientific computation

PLAPACK - Parallel Linear Algebra Package MPI based package for building dense linear algebra libraries

PSPASES (Parallel Sparse Symmetric Direct Solver Library) scalable parallel direct solver library for sparse symmetric positive definite linear systems

Scalable Basic Linear Algebra Subprograms (sB_BLAS) scalable implementation of common matrix-matrix operations

ScaLAPACK dense linear algebra routines for distributed memory computers

SPARSE a set of C procedures for solving large sparse real or complex linear systems.

SparseLib++ class library for efficient sparse matrix computations across various computational platforms

SparsLinC to support the computation of linear combinations of sparse vectors for single and double precision real and complex types.

SPLIB library of sparse iterative solvers, with preconditioners, for rapid prototyping of solvers for nonsymmetric linear systems of equations

Spooles for solving sparse linear systems of equations

SuperLU_MT parallel sparse Gaussian Elimination for shared memory machines

SYmmetric Invariant Subspace Decomposition Approach (SYISDA) eigensolver package or finding all eigenvalues and eigenvectors of real symmetric diagonalizable matrices in parallel

Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods a description of a general algorithm rather than the executable object code or the source code more commonly found in a conventional software library.

UMFPACK Unsymmetric-pattern Multifrontal Package

Miscellaneous

3DFFT To provide Fortran routines for performing three-dimensional Fast Fourier Transforms in parallel on multiple processors.

ADIC a tool for the automatic differentiation of programs written in ANSI C.

ADIFOR automatic differentiation of Fortran codes

ExacMath is a math library that supports real and complex arithmetic with three floating point data types.

FFTW fast, free C FFT library including real, multidimensional, and parallel transforms

Parallel Genetic Algorithm Library (PGAPack) a general-purpose, data-structure-neutral, parallel genetic algorithm library.

Parallel Software for Implicit Differential Equations (PSIDE) is a Fortran 77 code for solving implicit differential equations on shared memory parallel computers.

Parallel Sorting by Regular Sampling (PSRS) three implementations of a parallel sort using the algorithm of Parallel Sorting by Regular Sampling

ParSODES a parallel stiff ODE solver

PseudoPack for numerical differentiation by pseudospectral methods

RAPID integrates automatic scheduling techniques and efficient communication schemes for irregular task computations with mixed granularities on message-passing distributed memory machines.

SPRNG a set of libraries for scalable and portable pseudorandom number generation

V_SQRT A Library Routine for Computing Square Roots of Double-Precision Vectors on CRAY

Optimization

BNALib A BASIC Numerical Analysis Library

COOOL -- CWP Object Oriented Optimization Library collection of C++ class libraries for handling mathematical optimization problems

CUTE - Constrained and Unconstrained Testing Environment The Constrained and Unconstrained Testing Environment (CUTE) is a suite of Fortran subroutines, scripts and test problems for linear and nonlinear optimization.

MINPACK-2 optimization software for high performance computers

PDS direct search methods for unconstrained optimization

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