Search Results for "numerical methods" - Page 2
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Showing 81 open source projects for "numerical methods"
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Math Model
Code, resources, and templates for mathematical modeling
...It includes LaTeX templates for writing solutions, records of past contest problems and winning solutions, algorithm implementations in MATLAB / M scripts for optimization, intelligent algorithms, numerical methods, and model frameworks. In effect, it is a curated library of modeling code, papers, templates, and algorithm summaries tailored to competition preparation. Historical problem and solution archives from many contests. Summary of contest evaluation criteria and heuristics. -
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MaxFEM
Software for electromagnetic simulation
MaxFem is an open software package for electromagnetic simulation by using finite element methods. The package can solve problems in electrostatics, direct current, magnetostatics and eddy-currents. Since version 0.4.0, MaxFEM requires Python 3. We have moved the installers to the MaxFEM website (see below). In order to improve MaxFEM, we will require you to fill out a simple form before downloading them. -
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The Algorithms - C #
Collection of various algorithms in mathematics, machine learning
...Within the C repository, contributors implement algorithms from many areas of computer science including sorting, searching, graph processing, mathematics, machine learning, and numerical methods. Each algorithm implementation is written to be readable and well documented so that students and developers can understand how the algorithm works internally. The repository is designed primarily as an educational resource that helps programmers study algorithm design and computational thinking. Contributors from around the world continually add new implementations and improvements, making the repository a collaborative learning project. -
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Kinetic.jl
Universal modeling and simulation of fluid mechanics upon ML
Kinetic is a computational fluid dynamics toolbox written in Julia. It aims to furnish efficient modeling and simulation methodologies for fluid dynamics, augmented by the power of machine learning. Based on differentiable programming, mechanical and neural network models are fused and solved in a unified framework. Simultaneous 1-3 dimensional numerical simulations can be performed on CPUs and GPUs. -
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hydraulics_channel_gvf
Gradually Varied Flow (GVF) simulation.
Application used to compute water surface profiles in prismatic channel for gradually varied flow. -
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WaveTrain (Python)
Quantum dynamics of chain-like systems using tensor train formats
WaveTrain is an open-source software for numerical simulations of chain-like quantum systems with nearest-neighbor (NN) interactions only (with or without periodic boundary conditions). This Python package is centered around tensor train (TT, or matrix product) representations of quantum-mechanical Hamiltonian operators and (stationary or time-evolving) state vectors. WaveTrain builds on the Python tensor train toolbox scikit_tt, which provides efficient construction methods, storage schemes, as well as solvers for eigenvalue problems and linear differential equations in the TT format. ... -
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AlphaTensor
AI discovers faster, efficient algorithms for matrix multiplication
...The project demonstrates how reinforcement learning can be used to automatically discover efficient algorithms for matrix multiplication — a fundamental operation in computer science and numerical computation. The repository is organized into four main components: algorithms, benchmarking, nonequivalence, and recombination. These contain implementations of the discovered matrix multiplication algorithms, tools to benchmark their real-world performance, proofs of nonequivalence among thousands of solutions, and methods for decomposing larger problems into smaller factorizations. ... -
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TPLS
High Resolution Direct Numerical Simulation (DNS) of Two-Phase Flows
TPLS is a powerful and efficient 3D Direct Numerical Simulation (DNS) flow solver to simulate multiphase flows at unprecedented detail, speed and accuracy. This flow solver has been developed by Lennon Ó Náraigh (Mathematical Sciences, University College Dublin), Prashant Valluri (Engineering, University of Edinburgh), David Scott, Toni Collis and Iain Bethune (EPCC at the University of Edinburgh) and Peter Spelt (Université de Lyon1, Claude Bernard) under the aegis of several HECToR /... -
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Matrix Product State (MPS) Simulations
Numerical routines for variational matrix product state simulations.
Open Source MPS (OSMPS) is a collection of numerical routines for performing tensor network algorithms to simulate entangled, 1D many-body quantum systems. Our applications reach from ground state and excited states for statics to the dynamics of time-dependent Hamiltonians. We offer various time evolution methods with an emphasis on the support of long-range interactions through the matrix product state formalism. -
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Tahoe is a research-oriented platform for the development of numerical methods and models for the simulation of complex material behavior.
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ClimateMachine.jl
Earth System Model that automatically learns from data
The ClimateMachine is a software package that models the evolution of the Earth system over weeks to centuries. The ClimateMachine solves three-dimensional partial differential equations for the distributions of water, momentum, energy, and tracers such as carbon in the atmosphere, oceans, and on land. The ClimateMachine will harness a wide range of Earth observations and data generated computationally to predict the evolution of Earth’s climate and features such as droughts, rainfall... -
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Mathematics
Accumulation of mathematical knowledge, matrix numerical optimization
Mathematics is a comprehensive collection of notes, resources, and references spanning a wide range of mathematical topics. The repository organizes material across pure and applied mathematics, including calculus, linear algebra, probability, statistics, and optimization. It also extends into computational and algorithmic applications of mathematics, making it a useful reference for both academic study and practical problem-solving. The goal is to provide learners, researchers, and... -
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DeepLearning
Deep Learning (Flower Book) mathematical derivation
...It is edited by three world-renowned experts, Ian Goodfellow, Yoshua Bengio, and Aaron Courville. Includes linear algebra, probability theory, information theory, numerical optimization, and related content in machine learning. At the same time, it also introduces deep learning techniques used by practitioners in the industry, including deep feedforward networks, regularization, optimization algorithms, convolutional networks, sequence modeling and practical methods, and investigates topics such as natural language processing, Applications in speech recognition, computer vision, online recommender systems, bioinformatics, and video games. ... -
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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 PCA-Kernel (non-lineal). ... -
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FilterPy
Python Kalman filtering and optimal estimation library
FilterPy is a Python library for Kalman filtering and related state-estimation methods. It implements standard, extended, and unscented Kalman filters, along with Kalman smoothers. The package also includes particle filters, least-squares filters, fading-memory filters, g-h filters, discrete Bayes methods, and H-infinity tools. Its code favors readability and close correspondence with the underlying equations. NumPy and SciPy handle the numerical work, with Matplotlib commonly used for visualization. ... -
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MATLAB Robotics
MATLAB sample codes for mobile robot navigation
MATLABRobotics is a collection of robotics-related algorithms and simulation tools implemented in MATLAB. The repository brings together a wide range of robotics functionality, including path planning, control, localization, and mapping. It provides practical algorithmic implementations such as A*, RRT, Kalman filters, particle filters, and SLAM, making it a valuable resource for students, researchers, and developers learning or prototyping robotics applications. The code is written to be... -
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MatlabFunc
Matlab codes for feature learning
MatlabFunc is a collection of MATLAB functions developed by the ZJULearning group to support various tasks in computer vision, machine learning, and numerical computation. The repository brings together a wide range of utility scripts, algorithms, and implementations that serve as building blocks for research and development. These functions cover areas such as matrix operations, optimization, data processing, and visualization, making them broadly applicable across different research... -
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Numerics for Chemical Engineering
Numerical models for chemical and process engineering
NCE Calculation Framework is a library of routines, models and data applicable to chemical and process engineering calculations, written in Java. -- NEW -- www.chesolver.com *ONLINE CALCULATORS*. A set of solvers to perform calculations consistently on any device, from smart-phone to desktop. The project includes the following ready to use software all based on the same core library: * Online Calculators at www.chesolver.com * Extensions for Libreoffice/Openoffice Calc... -
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As of August 2018 Spheral++ has moved to Github -- please see the current repository at https://github.com/jmikeowen/spheral We are leaving a frozen version here on SourceForge for historical reasons. Spheral++ provides a steerable parallel environment for performing coupled hydrodynamical & gravitational numerical simulations. Hydrodynamics and gravity are modelled using particle based methods (SPH and N-Body).
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Zhao
A compilation of "The Princely Party Relationship Network"
...Users interested in reading academic work or numerical demonstrations can use the content to deepen understanding of advanced topics. -
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Math Template Library
An efficient template library for vector and matrix operations
Matrix and vector templated classes with operations accelerated using SSE, AVX, FMA, and OpenMP. Contains efficient methods to solve linear and non-linear least square problems with great numerical stability. Note that AVX and FMA acceleration is disabled by default since not many systems support it currently. These features can be easily enabled for the included tests using the CMake GUI. Currently, this software is getting tested with Microsoft Visual Studio 2012 Update 4 and g++ 4.9.3. -
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Computational Linear Algebra for Coders
Free online textbook of Jupyter notebooks
Computational Linear Algebra for Coders is an open-source educational repository created by the fast.ai community that serves as a free online textbook and course for computational linear algebra. The project presents linear algebra concepts from a practical perspective focused on how computers perform matrix operations efficiently and accurately. The course materials are organized as Jupyter notebooks that combine explanations, code demonstrations, and exercises. Instead of emphasizing... -
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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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Advanced Numerical Instruments 3D
Advanced numerical instruments: adaptive meshing, FE methods, solvers
Ani3D provides portable libraries for each step in the numerical solution of systems of PDEs with variable tensorial coefficients: (1) unstructured adaptive mesh generation, (2) metric-based mesh adaptation, (3) finite element discretization and interpolation, (4) algebraic solvers. -
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The Free Finite Element Package is a library which contains numerical methods required when working with finite elements. The goal of FFEP is to provide basic functions for approximating the solution of elliptic and parabolic PDEs in 2D. Until 2016 FFEP was developed using C. Science 2016 the language was switched to GNU Octave with some C Mex-Functions. Mesh generation or import is not part of FFEP.
