Search Results for "numerical integration"
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Showing 17 open source projects for "numerical integration"
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Shumai
Fast Differentiable Tensor Library in JavaScript & TypeScript with Bun
Shumai is an experimental differentiable tensor library for TypeScript and JavaScript, developed by Facebook Research. It provides a high-performance framework for numerical computing and machine learning within modern JavaScript runtimes. Built on Bun and Flashlight, with ArrayFire as its numerical backend, Shumai brings GPU-accelerated tensor operations, automatic differentiation, and scientific computing tools directly to JavaScript developers. It allows seamless integration of machine learning, deep learning, and custom differentiable programs into web-based or server-side environments without relying on Python frameworks. ... -
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Taichi
Productive, portable, and performant GPU programming in Python
Taichi is an open-source, embedded DSL within Python designed for high-performance numerical and physical simulations. It uses JIT compilation (via LLVM and its runtime TiRT) to offload compute-heavy code to CPUs, GPUs, mobile devices, and embedded systems. With built-in support for sparse data structures (SNode), automatic differentiation, AOT deployment, and compatibility with CUDA, Vulkan, Metal, and OpenGL ES, it empowers disciplines like simulation, graphics, AI, and robotics -
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FlashMLA
FlashMLA: Efficient Multi-head Latent Attention Kernels
FlashMLA is a high-performance decoding kernel library designed especially for Multi-Head Latent Attention (MLA) workloads, targeting NVIDIA Hopper GPU architectures. It provides optimized kernels for MLA decoding, including support for variable-length sequences, helping reduce latency and increase throughput in model inference systems using that attention style. The library supports both BF16 and FP16 data types, and includes a paged KV cache implementation with a block size of 64 to... -
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basic_numerical_methods
Didactic application to aid students in learning Numerical Methods;
A practical tool (for students and engineers) to foresee the result of calculus exercises. Calculation and visualization numerical methods for nonlinear equation, ODE, integration, linear system, polynomial fitting,..... -
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IntegralOs
Numerical integration
Build a mathematical model of a differential equation, using building blocks like integrator, addition, functions and output pens. Chose an integration method: Euler, Trapez or Simpson. Specify calculation parameter, like time step, end time etc. Run the model and output the results as chart or as CSV file. For example the Lorenz equations can be calculated in 3 000 000 integration steps in 63 seconds. Please refer to the screenshots. -
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mXparser - Math Parser Java C# Library
A flexible mathematical expressions parser for JAVA, Android, C# .NET
mXparser is highly flexible parser of math expressions. Software provides easy to use API for JAVA, Android, C# .NET/MONO (CLS). Main functionalities: - basic operators, i.e.: +, -, *, ^, ! - Boolean logic operators i.e.: or, and, xor - binary relations i.e.: =, <, > - math functions (large library of 1-arg, 2-arg, 3-arg - - functions) i.e.: sin, cos, Stirling numbers, log, inverse functions - constants (large library), i.e.: pi, e, golden ratio - n-args functions i.e.: greatest... -
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RElt
calculates overlap, kinetic integrals for numerical atomic orbitals.
The efficient algorithm calculating the overlap and the kinetic integrals for the numerical atomic orbitals is implemented. The described algorithm exploits the properties of the prolate spheroidal coordinates. The overlap and the kinetic integrals in R^3 are reduced to the integrals over the rectangular domain in R^2, what substantially reduces the complexity of the problem. We prove that the integrand over the rectangular domain is continuous and does not have any slope singularities. For... -
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cupSODA
Deterministic simulator of mass-action based models
cupSODA is a simulator of biological systems that exploits the remarkable memory bandwidth and computational capability of GPUs. cupSODA allows to efficiently execute in parallel large numbers of simulations, which are usually required to investigate the emergent dynamics of a given biological system under different conditions. cupSODA works by automatically deriving the system of ordinary differential equations from a reaction-based mechanistic model, defined according to the mass-action kinetics, and then exploiting the numerical integration algorithm, LSODA -
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hyperGK
Gauss-Kronrod quadrature on several variables.
hyperGK is a collection of C++ classes for parallelized numerical integration on several variables. The integrations are performed using Gauss-Kronrod quadrature. hyperGK is inspired and, to some extent, based on Quadpack, but generalized to multiple integrals on either rectangular regions or more general regions. This package is still under development. Usage examples can be found in the demonstration subdirectory. -
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IterInt is a numerical integration package that implements iterated numerical integration methods. Iterated methods can be used to compute low dimensional (less than ten, for example) integration problems to get very accurate results.
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math toolkit
A C++ and Python library for finance, statistics and linear algebra.
...Linear algebra features include matrix arithmetic, inverse, determinant, rank, linear system solution, lu/qr decomposition, svd, eigen values/vectors ... And some auxiliary features like random number generators, equation solution, numerical integration, permutation/combination and gcd/lcm etc. It is aimed to be a convenient and handy toolkit to check out your ideas. -
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numerica
Basic numerical algorithms in c++
IMPORTANT: This project have been migrated to GitHub (https://github.com/krvajalmiguelangel/libnumerica) To use this or leave feedback, please visit github site instead. numerica implements some of the basic numerical algorithms about root-finding, interpolation, system of linear equations, integration, and ordinary differential equations. The aim is to be simple, code-readable and generic. New features of the recently approved c++11 are used. -
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Calculates volume and surfice of arbitrary rotational objects. Or arbitrary areas. This is done by applying numerical integration and numerical interpolation. No parser included.
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CIVx is a free advanced PIV (Particle Imaging Velocimetry) code, developped in Fortran and C++. Input : pair of png images. Output : velocity field in NetCDF format. It is used by the UVMAT Matlab code develloped at LEGI.
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The SBML ODE Solver is a command-line tool and programming library (ISO/ANSI C) for construction and numerical integration of an ODE system, derived from an SBML based description of a biochemical reaction network. Development has moved to https://github.com/raim/SBML_odeSolver . Please download the latest version from there!
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Tools/libraries: analytical and numerical mathematical methods in ODE, PDE, Vector Calculus, Linear Algebra, Probability and Statistics, Numerical Methods, FEM, DSP. The current file release libham1.0 is for Geometric Integration of Hamiltonian Systems w
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CoSimA+
The Co-Simulation Adaptation Platform
The co-simulation adapation platform serves as programming framework and middleware to enable coupling of distributed, heterogeneous numerical models. The framework facilitates the adaptation and integration of new sub-models into a common simulation platform.
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