
UG
 Referenced in 190 articles
[sw04596]
 very efficient techniques for the numerical solution of partial differential equations have been developed...

Maxima
 Referenced in 151 articles
[sw00560]
 manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential ... matrices, and tensors. Maxima yields high precision numeric results by using exact fractions, arbitrary precision...

DDEBIFTOOL
 Referenced in 304 articles
[sw02396]
 Matlab package for numerical bifurcation and stability analysis of delay differential equations with several fixed...

CMPGRD
 Referenced in 96 articles
[sw24156]
 curvilinear overlapping grids and the numerical solution of partial differential equations on them. First ... solving elliptic and timedependent partial differential equations on composite meshes are shown. Applications ... compressible NavierStokes equations are discussed. Numerical accuracy, efficiency and the numerical solution are analyzed...

libMesh
 Referenced in 139 articles
[sw06657]
 provides a framework for the numerical simulation of partial differential equations using arbitrary unstructured discretizations...

FracPECE
 Referenced in 54 articles
[sw24209]
 FracPECE subroutine for the numerical solution of differential equations of fractional order. We present ... discuss an algorithm for the numerical solution of nonlinear differential equations of fractional ... with a firstorder differential equation. The algorithm for the numerical solution of these equations...

REDUCE
 Referenced in 739 articles
[sw00789]
 functions and extending program syntax; analytic differentiation and integration; factorization of polynomials; facilities ... variety of formats; facilities for generating optimized numerical programs from symbolic input; calculations with...

mpmath
 Referenced in 37 articles
[sw05802]
 utilities for arbitraryprecision numerical differentiation, integration, rootfinding, and interval arithmetic. It supports unlimited...

Chebfun
 Referenced in 327 articles
[sw05897]
 MATLAB that extends familiar powerful methods of numerical computation involving numbers to continuous or piecewise ... decomposition and the SVD, and solves ordinary differential equations. The mathematical basis of the system...

Octave
 Referenced in 283 articles
[sw00646]
 Octave has extensive tools for solving common numerical linear algebra problems, finding the roots ... ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations. It is easily...

MEBDF
 Referenced in 75 articles
[sw00567]
 numerical integration of large sparse systems of stiff initial value ordinary differential equations and differential ... algorithm is in the numerical solution of time dependent partial differential equations, particularly...

LIMbook
 Referenced in 38 articles
[sw14520]
 Problems. The book explains the numerical solution of differential equations within the framework of geometric ... branch of numerical analysis that devises numerical methods able to reproduce (in the discrete solution ... differential systems named conservative problems, particularly Hamiltonian systems. Assuming only basic knowledge of numerical quadrature ... HBVMs to handle the numerical solution of Hamiltonian partial differential equations (PDEs) and explores extensions...

Tensorlab
 Referenced in 48 articles
[sw14255]
 squares optimization with complex variables including numerical complex differentiation, global minimization of bivariate polynomials...

NLPLIB
 Referenced in 29 articles
[sw03199]
 ADMAT/ADMIT TB. Furthermore, five types of numerical differentiation methods are included in NLPLIB TB. NLPLIB...

VODE
 Referenced in 193 articles
[sw01005]
 numerical solution of (stiff and nonstiff) systems of ordinary differential equations. The new package...

ROWMAP
 Referenced in 47 articles
[sw09627]
 independently of the dimension of the differential equations. Numerical tests and comparisons with the multistep...

Bertini
 Referenced in 220 articles
[sw06683]
 numerical irreducible decomposition. Treats positivedimensional solutions by computing witness sets. Has automatic differentiation which...

DUNE
 Referenced in 147 articles
[sw01466]
 Unified Numerics Environment is a modular toolbox for solving partial differential equations (PDEs) with grid...

DiffSharp
 Referenced in 25 articles
[sw16033]
 differentiation library. DiffSharp is a functional automatic differentiation (AD) library. AD allows exact and efficient ... program execution. AD is different from numerical differentiation, which is prone to truncation and round...

Taylor
 Referenced in 86 articles
[sw10816]
 method for the numerical integration of initial value problems of ordinary differential equations (ODEs ... computer program that outputs a specific numerical integrator for a given set of ODEs...