
Octave
 Referenced in 275 articles
[sw00646]
 nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differentialalgebraic equations...

AUTO
 Referenced in 811 articles
[sw01059]
 continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the form ... systems of ordinary differential equations of the form...

REDUCE
 Referenced in 737 articles
[sw00789]
 differentiation and integration; factorization of polynomials; facilities for the solution of a variety of algebraic ... equations; facilities for the output of expressions in a variety of formats; facilities for generating...

MEBDF
 Referenced in 75 articles
[sw00567]
 initial value ordinary differential equations and differentialalgebraic equations is described. The algorithm is constructed ... embedding a standard sparse linear algebraic equation solver into a suitably modified MEBDF code ... numerical solution of time dependent partial differential equations, particularly in two or more space dimensions...

deSolve
 Referenced in 44 articles
[sw04499]
 equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations ... partial differential equations (PDE), of differential algebraic equations (DAE), and of delay differential equations...

GPOPS
 Referenced in 67 articles
[sw05853]
 desired to optimize systems defined by differentialalgebraic equations). GPOPSII implements the new class...

FEniCS
 Referenced in 476 articles
[sw04314]
 features for automated, efficient solution of differential equations, including automated solution of variational problems, automated ... library of finite elements, high performance linear algebra and many more...

DAETS
 Referenced in 37 articles
[sw12535]
 Solving differential algebraic equations by Taylor series. III: The DAETs code. The authors have developed ... solving numerically an initialvalue problem differential algebraic equation (DAE) that can be of high...

DASPK 3.0
 Referenced in 34 articles
[sw04288]
 sensitivity analysis of largescale differential algebraic equations. They outline the underlying algorithms ... results of some numerical experiments on differential algebraic equations arising from the discretisation of partial...

Chebfun
 Referenced in 304 articles
[sw05897]
 algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...

AUTO86
 Referenced in 271 articles
[sw04220]
 continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... limited bifurcation analysis of algebraic systems of the formf ... Rnand of systems of ordinary differential equations of the formu...

GELDA
 Referenced in 33 articles
[sw00331]
 numerical solution of linear differentialalgebraic equations (DAEs) with variable coefficients of arbitrary index ... called strangeness index, which generalizes the differentiation index ([2],[3],[5]]) for systems with undetermined ... quadratic optimal control problems and differentialalgebraic Riccati equations ... general DAEs require the system to have differentiation index not higher than one, which corresponds...

Modelica
 Referenced in 86 articles
[sw04352]
 Modelica are mathematically described by differential, algebraic and discrete equations. No particular variable needs...

ATOMFT
 Referenced in 39 articles
[sw09274]
 value problems for ordinary differential and differentialalgebraic equations. In the paper applications of this...

Algorithm 731
 Referenced in 37 articles
[sw12847]
 developed to solve timedependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

CWRESU
 Referenced in 37 articles
[sw12903]
 developed to solve timedependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

CWRESX
 Referenced in 37 articles
[sw12904]
 developed to solve timedependent partial differential equations (PDEs) in one dimension having solutions with ... which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

bvpsuite
 Referenced in 24 articles
[sw08540]
 boundary value problems in ordinary differential equations. Motivated by applications, we are especially interested ... semiinfinite intervals, eigenvalue problems and differential algebraic equations of index 1. Our main focus ... value problems in which singularities in the differential operator arise. We first briefly recapitulate ... regular ordinary differential equations and differential algebraic equations. We also discuss the a posteriori error...

CRACK
 Referenced in 57 articles
[sw07754]
 dimensional evolution equations are studied. An overview of the computer algebra program CRACK used ... lengthreduce differential equations is presented. The program CRACK is a computer algebra package written ... obtaining of solutions of algebraic systems, ordinary, or partial differential equations with at most polynomial...

Schittkowski
 Referenced in 23 articles
[sw05205]
 analyst are defined by ordinary differential equations, differential algebraic equations, or onedimensional partial differential...