Search Results for "numerical integration" - Page 2
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Showing 61 open source projects for "numerical integration"
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LMath library
Math library for Free Pascal and Lazarus.
LMath, based on DMath, is a mathematical library for FreePascal (FPC) and Lazarus. It is entirely written in Pascal and does not depend on external libraries. LMath provides routines and demo programs for numerical analysis, including mathematical functions, probabilities, matrices, optimization, linear and nonlinear equations, integration, Fast Fourier Transform, random numbers, curve fitting, statistics and graphics. It is organized s set of lazarus packages which makes it easily extensible and helps to include only really needed features in your project. -
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DPM-Solver
Fast ODE Solver for Diffusion Probabilistic Model Sampling
...Diffusion models are powerful generative systems capable of producing high-quality images and other data, but traditional sampling methods often require hundreds or thousands of computational steps. The project introduces a specialized numerical solver designed to approximate the diffusion process using a small number of high-order integration steps. By reformulating the sampling problem as the solution of a diffusion-related ordinary differential equation, the solver can produce high-quality samples much more efficiently. This approach significantly reduces the computational cost required to generate images while maintaining strong generation quality. -
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Glumpy
Python+Numpy+OpenGL, scalable and beautiful scientific visualization
Glumpy is a Python library that simplifies the development of high-performance, interactive OpenGL visualizations. It abstracts complex OpenGL tasks into Pythonic constructs, making it easier for scientists, artists, and developers to harness the power of the GPU for real-time rendering and data visualization. Glumpy is particularly well-suited for rapid prototyping of graphical applications, and its integration with NumPy and shader programming makes it a powerful tool for both research and... -
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CalcTools
A library of tools for math calculation
Java source intended to serve as a nexus for teaching both mathematics and software solutions for computation on iterative equations. Public interfaces allow a user to extend the available operator and function lists to external libraries. Currently the packaged libraries include the CERN Colt library and the Anaconda package of math libraries which include MpMath and SciPy. A user can easily extend the functionality by coding to the provided interfaces and dropping a JAR of the... -
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NLIGA
Open source Matlab code for nonlinear isogeometric analysis
A unified framework, NLIGA (Non-Linear Isogeometric Analysis), is developed for mainly solving two and three-dimensional nonlinear problems on the MATLAB platform by using isogeometric analysis (IGA). Nonlinear hyperelastic and elastoplastic materials are primarily considered at this stage. Newton-Raphson method is used to solve the nonlinear governing equations. A series of benchmark examples are performed to validate the procedures. The visualization procedures are also developed to... -
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JuliaCall for Seamless Integration of R
Embed Julia in R
Package JuliaCall is an R interface to Julia, which is a high-level, high-performance dynamic programming language for numerical computing. Below is an image for Mandelbrot set. JuliaCall brings more than 100 times speedup of the calculation. -
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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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Arraymancer
A fast, ergonomic and portable tensor library in Nim
Arraymancer is a tensor and deep learning library for the Nim programming language, designed for high-performance numerical computations and machine learning applications. -
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smib is one of the smallest and simplest computer algebra system in the world, but simple does not mean simplistic. Using smib you can explore many branches of mathematics (e.g. number theory, algebra, calculus, numerical analysis, differential geometry, probability and stochastic calculus) and also some physics (e.g. electromagnetism and quantum mechanics).. By simple you can understand easy to program (smib is a dynamically typed language, with strong affinity to recursivity, programs...
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SVPhylA
SVPhylA: Sequence Vectorization for Phylogenetic Analyses
SVPhylA is a python tool for the calculation of several alignment-free distances for phylogenetics analysis from the most popular alignment-free approaches. Such alignment-free methods basically encode DNA and protein sequences (fasta files) into numerical vectors allowing the calculation of alignment-free distances which may be combined into a consensus/compromise matrix by using algorithms like DISTATIS based on Multidimensional Scaling (MSD), Lineal Principal Component Analysis (PCA) and... -
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SoDiOpt
A numerical solver for optimization-constrained differential equations
SoDiOpt is a MATLAB-based code that performs numerical integration of Optimization-Constrained Differential Equations (OCDE). SoDiOpt provides efficient numerical solution of OCDE by using the optimality-based solution method. A sequence of DAE systems are generated and classical index-1 DAE simulator is applied to solve the derived DAE systems. -
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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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Chebfun
Chebfun: numerical computing with functions
Chebfun is a MATLAB-based system for numerical computing with functions instead of just numbers. It represents functions using Chebyshev polynomial approximations and allows users to perform operations like differentiation, integration, root finding, and solving ODEs using symbolic-like syntax. Chebfun simplifies working with continuous mathematics using high-accuracy numerical techniques. -
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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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ICE (Interval Calculator for Engineer)
Interval Calculator for Engineer
ICE is a simple mathematical calculator with very useful shortcuts for Engineer: works natively with tolerance, can run Monte Carlo analysis, uses engineer notation, includes most of the day by day functions used by engineers. -
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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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CPPQUADPACK
C++ port of QUADPACK with general function defination style.
Numerical integration package in C++. A C++ port of QUADPACK with a general function defination style to provide more flexible function parameter defination. Based on crbond C version QUADPACK(http://www.crbond.com/scientific.htm) . You can get the latest code by : git clone git://git.code.sf.net/p/cppquadpack/code cppquadpack-code -
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fzcal
A calculator capable of complex arithmetics
A command line calculator capable of complex arithmetics. -
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EmulMultiFit
Simultaneously fit SAS data with polydisperse core-shell-shell spheres
Keywords: -simultaneously fit several SAXS and SANS data sets with polydisperse (Schultz-Zimm or Gaussian distribution f(R)) spherical core-shell-shell nanoparticles -analytical expressions are used for from factor F(Q) and its integral over f(R), no numerical integration required -absolute units -Mathematica is required via console (MathKernel) -Mathematica's local and global optimizers (simulated annealing, differential evolution, Nelder-Mead, ...) can be used -range for fit parameters and further constraints between fit parameters are possible -Monodisperse(!) hard sphere structure factor can be used, too -long computation times (depending on problem size and amount of constraints) from hours to a few days are possible -non-parallelized code -
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PythonStatsLab
A collection of useful statistical functions written in Python
...There are several numerical integration techniques (Riemann sum, Simpson's method, Taylor expansion, etc.) that can be employed in this task, which I hope to add soon. Projected Future Improvements: -Estimation with 2 means -Student's t-distribution -Hart's algorithm for integrating CDF -
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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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Math Simulator
A simulation software for numerical techniques.
Math Simulator is a java-based application which simulates various mathematical techniques.It is extremely useful for the Engineering students and for professionals. Most importantly, unlike most others Math Simulator is an Application rather than a java - library. So, user is not required to have any computer background. A Unique feature of Math Simulator is that it allows you to save queries for later reference. Hence you can save the problems along with their results. -
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Pw.mac is an enhancement to Maxima, so you will have to get Maxima. Pw.mac enables Maxima to handle integration, differentiation, computation of products, sums and powers, plotting, transforming and simplifying piecewise continuous functions.
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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.
