Pdes

The Generalised Adaptive Fast-Fourier Evolver (GAFFE) toolbox is a framework that greatly simplifies the solution of complex partial differential equations (PDEs) in an adaptive manner.By default both the step-size and the mesh adapt to the problem at hand to optimise the speed of execution for a... Platforms: Matlab

Fortran Calculus Compiler: Calculus level computer languages are Fortran Calculus and PROSE. Both languages are based on what is called "Automatic Differentiation" (AD). Calculus languages simplify computer coding to an absolute minimum; i.e., a mathematical model, constraints, and the objective... Platforms: *nix

GeoPDEs is a suite of software tools for research on Isogeometric Analysis of PDEs developed at IMATI, UniversitA di Pavia and Politecnico di Milano. GeoPDEs is free software implemented in Octave and fully compatible with Matlab. Platforms: Windows, Mac, Linux

Matlab files include Gaussian numerical quadrature, Newton's method for finding roots, finite element method for 1D wave equation, and pattern formation (KPP anda system of two coupled PDEs). Platforms: Matlab

This toolbox contains a collection of m-files which may be used to numerically solve discretized ODE/PDEs on a Chebyshev grid. Included are scripts for building differentiation matrices, enforcing boundary conditions using either the Laczos Tau method or Galerkin basis functions, spectral... Platforms: Matlab

This is a MATLAB/C++ code for solving PDEs that are discretized by a finite element method on unstructured grids. It automates assembly of a variety of FEM matrices using a straightforward syntax and automatic code generation. The resultant matrices can be manipulated by MATLAB for ease in... Platforms: Matlab

This submission contains the basic functions that are necessary for using the matrix approach to discretization of fractional differential equations, and demos. The method is described in the following articles:[1] I. Podlubny, "Matrix approach to discrete fractional calculus", Fractional... Platforms: Matlab

These files are associated with the free undergraduate level textbook: 'Introductory Finite Volume Methods for PDEs' which may be downloaded from a link on my homepage which also contains worked solutions, case studies and audio visual material. To find my homepage just search for 'clive... Platforms: Matlab

pdelab is a project that has been developing for over a year with the goal of defining an environment where the numerical solutions to ODEs and PDEs can be solved and analyzed seamlessly. I am using this framework to complete my master's thesis on numerical solutions to the boussinesq equations.... Platforms: Mac

SOLVCON is a software framework for solving hyperbolic partial differential equations (PDEs). SOLVCON uses the space-time Conservation Element and Solution Element (CESE) method for time-accurate solutions. The goal of SOLVCON is to enable high-fidelity solutions for design iterations. SOLVCON is... Platforms: *nix

The Getfem++ project focuses on the development of a generic and efficient C++ library for finite element methods elementary computations. The goal is to provide a library allowing the computation of any elementary matrix (even for mixed finite element methods) on the largest class of methods and... Platforms: *nix

These files are associated with the free undergraduate level textbook: 'Introductory Finite Difference Methods for PDEs' which may be downloaded from a link on my homepage which also contains worked solutions, case studies and audio visual material. To find my homepage just search for 'clive... Platforms: Matlab

The Getfem++ project focuses on the development of a generic and efficient C++ library for finite element methods elementary computations. The goal is to provide a library allowing the computation of any elementary matrix (even for mixed finite element methods) on the largest class of methods and... Platforms: Mac

ALGOPY allows you to differentiate functions implemented as computer programs by using Algorithmic Differentiation (AD) techniques in the forward and reverse mode. Speciality of ALGOPY is the possibility to differentiate functions that contain matrix functions as +,-,*,/, dot, solve, qr, eigh,... Platforms: *nix