Search Results for "differential equations" - Page 3
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Showing 121 open source projects for "differential equations"
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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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Finita
Package for solving PDE systems numerically
Finita is a software package for solving complex algebraic/differential systems of equations numerically using various grid methods. -
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PD_BiochemicalSystemsTheory
A model of Parkinson’s disease using biochemical systems theory
Major pathways involving in Parkinson's disease (PD) such as alphasynuclein aggregation, dopamine synthesis, lewy body formation, tau phosphorylation, parkin, and apoptosis were modeled using stochastic differential equations. Pathways were modeled and simulated using the biochemical pathway visualization program CellDesigner, a modeling tool for gene-regulatory and biochemical networks that support graphical notation and listing of symbols. The model allows a qualitative analysis of PD... -
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SODE
Program to solve differential equations using long Taylor series
Program to generate a program to numerically solve either a single ordinary differential equation or a system of them.It is a Ruby program, now called omnisode, which generates either Ruby, C, C++, Maple or Maxima code. Code can be generated for all languages under Linux. Ruby can be generated under Windows. All can be generated under cygwin, but would need work on execution of Maple. Omnisode itself is Ruby, which is needed in all cases to generate the program. -
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CoRoPa stands for Computational Rough Paths. The aim of CoRoPa is to provide a software framework for various ideas related to Rough Path Theory, including rough differential equations and the digital description of serial data streams.
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WordMat
Math in Word
WordMat is an add-on to Microsoft Word which creates a tab with math functionality. Part of the Math functionality is provided by other open-source applications like Maxima, GeoGebra, Graph and GnuPlot. -
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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... -
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ChemStud
android app for engineers and scientists
Carryout unit conversions, perform definite integrals, solve for simultaneous equations and Ordinary Differential Equations from reaction data, solve for electrical engineering circuit problems and optimize linear programming problems -
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Programs for Numerical Methods
Didactic program to aid students in learning Numerical Methods.
..., Inverse Linear Interpolation, Regula-Falsi). 4.2 Open Methods (Newton-Raphson, Bailey). 5. Roots of polynomials (Birge-Vieta, Lin Bairstrow). 6. Numerical interpolation (Unique Interpolating Polynomial, Lagrange, Newton's and Aithen-Neville Interpolating Polynomials). 7. Curve fitting (Linear and Nonlinear). 8. Numerical integration (Undetermined Coefficients, Newton-Cotes, Romberg). 9. Ordinary differential equations (Euler, Runge-Kuta). -
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diffeqs
Solving differential equations in Octave and Matlab
A set of scripts which help in solving differential equations by Octave and Matlab. This project currently contains scripts for professional timing, plotting graphs, and generating and displaying animations based on the solutions of equations. In the future there will be also scripts for numerically solving several forms of differential equation while tracking precision and controlling chaos. -
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The Sim.DiffProc package simulates and estimates diffusion processes and has functions for numerical solution of multidimensional stochastic differential equations.
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FERN: Fast Explicit Reaction Networks
Quickly and explicitly solving sets of differential equations.
FERN is a CUDA program that implements new methods for solving large sets of stiff differential equations using explicit integration methods. For the theory behind the program (due to Mike Guidry), see http://arxiv.org/abs/1112.4778 . -
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DEVSIM
TCAD Device Simulator
TCAD Device Simulator. DEVSIM is a semiconductor device simulation software, using the finite volume method. This software solves partial differential equations on a mesh. The Python interface allows the user to specify their own equations. -
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SCaVis
Scientific Computation and Visualization Environment
SCaVis is an environment for scientific computation, data analysis and data visualization for scientists, engineers and students. The program is fully multiplatform (100% Java) and integrated with Java and a number of scripting languages: Jython (Python), Groovy, JRuby, BeanShell. SCaVis can be used to plot functions and data in 2D and 3D, perform statistical tests, data mining, numeric computations, function minimization, linear algebra, solving systems of linear and differential equations... -
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AUTO is a publicly available software for continuation and bifurcation problems in ordinary differential equations originally written in 1980 and widely used in the dynamical systems community.
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TIDES
Taylor series Integrator for Differential Equations
Taylor series Integrator for Differential EquationS. This software is developed by Profs. A. Abad, R. Barrio, F. Blesa and M. Rodriguez, (GME, University of Zaragoza, Spain). It consists on a C (Fortran) library, libTIDES, and a Mathematica package, MathTIDES. (MathTIDES requires Mathematica version >= 7.0) . Basic references: * A. Abad, R. Barrio, F. Blesa, M. Rodriguez, 2012. Algorithm 924: TIDES, a Taylor series Integrator for Differential EquationS, ACM TOMS. 39, no. 1, art. 5. (Main... -
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GRAVITY ALPHA 1.05
Visualization of gravitational force effects between (two) objects
GRAVITY ALPHA is developed for visualization of gravitational force effects between (two) objects. In order to predict/calculate object properties in future time (of course, within the limits of calculation) one need initial position and speed at some initial moment of time . For calculating positions and velocities, numerical method for solving differential equations is used. There is no limitation in parameters - object will behave just like they behave in the real world. The only thing... -
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DSOL
DSOL: A Distributed Simulation Object Library implemented in Java
DSOL is a full featured multi-formalism, distributed simulation environment developed at Delft University of Technology (The Netherlands). DSOL has support for discrete event and for continuous modeling. Formalisms supported are event scheduling, DEVS, flow-based simulation, and continuous modeling through sets of differential equations. The first release was introduced at IEEE's Winter Simulation Conference in 2002. Since then, numerous papers and PhD dissertations have been developed... -
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Interdependent Java frameworks: AMath (abstract numbers support); AFuzzy (fuzzy numbers and methods); AMathSys (flexible solvers of linear and nonlinear algebraic and differential equations); ADSM (multi-criteria ranking and grading of alternatives).
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Runge
Runge is an Interactive Solver for Systems of Differential Equations
Runge is an Interactive Solver for Systems of Ordinary Differential Equations. It solves initial value problem (aka Cauchy problem). Few advantages Runge provides: It's fast. It utilizes BLAS and LAPACK libraries optimized for modern multi-core processors. It's interactive. It allows you to start a solution by mouse click on a plane. It's precise. It uses Runge Rule to adjust step length to satisfy required precision on each step. It's effective. When it needs to compute... -
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abc-sde
approximate Bayesian computation for stochastic differential equations
A MATLAB toolbox for approximate Bayesian computation (ABC) in stochastic differential equation models. It performs approximate Bayesian computation for stochastic models having latent dynamics defined by stochastic differential equations (SDEs) and not limited to the "state-space" modelling framework. Both one- and multi-dimensional SDE systems are supported and partially observed systems are easily accommodated. Variance components for the "measurement error" affecting the data... -
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Ofeli (as an acronym for Open, Fast and Efficient Level set Implementation) demonstrates how to operate an image segmentation algorithm of Y. Shi and W. C. Karl |1|, using a discrete approach for the approximation of level-set based curve evolution (implicit active contours). This is a novel (2005) and fast algorithm without the need of solving partial differential equations (PDE) while preserving the advantages of level set methods, such as the automatic handling of topological changes...
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cuLsoda is an implementation of the Livermore Solver for Ordinary Differential Equations with Automatic switching for stiff and non-stiff problems (LSODA), written in NVIDIA's C for CUDA GPGPU API. NOTE: This repository is now deprecated and replaced by a new one at GitHub: https://github.com/Celemourn/cuLsoda
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pyTRAX
ODEs solver with GUI
This small program named TRAX is capable of solving systems of ordinary differential equations and plotting the solution on a phase plane as well as function of time. The program is intended for educational purposes. The program runs on any Python-enabled platform, including GNU/Linux and MS\Windows OSs. To run the program you will need a python interpreter ver. 2.x and compatible versions of numpy, scipy and matplotlib libraries. See screenshot for usage reference. -
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The DetStoch package offers the user two different methods to compute chemical reactions: Deterministic and Stochastic approaches. It allows the user to play with an intuitive GUI framework and compute the evolution rates of the chemical reactions with the different methods available. The results are displayed in graphical plots of the species concentration over the time. The package is designed to solve any of the following reactions by either one of the two approaches...