
Octave
 Referenced in 206 articles
[sw00646]
 extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations ... polynomials, and integrating ordinary differential and differentialalgebraic equations. It is easily extensible and customizable...

REDUCE
 Referenced in 686 articles
[sw00789]
 interest to mathematicians, scientists and engineers. Computer algebra system (CAS). It has been produced ... differentiation and integration; factorization of polynomials; facilities for the solution of a variety of algebraic...

AUTO
 Referenced in 651 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...

AIDA
 Referenced in 57 articles
[sw11535]
 Maple Package: Algebraic Invariants and their Differential Algebras. The AIDA package will be a collection ... routines to explore algebra of differential invariants: computation of generating sets of invariants, rewritings, syzygies...

MEBDF
 Referenced in 66 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...

Modelica
 Referenced in 62 articles
[sw04352]
 Modelica are mathematically described by differential, algebraic and discrete equations. No particular variable needs...

DASPK 3.0
 Referenced in 34 articles
[sw04288]
 sensitivity analysis of largescale differential algebraic systems. The authors describe the new software package ... 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...

GELDA
 Referenced in 32 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 ... linear quadratic optimal control problems and differentialalgebraic Riccati equations ... general DAEs require the system to have differentiation index not higher than one, which corresponds...

DAETS
 Referenced in 30 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...

Janet
 Referenced in 29 articles
[sw07776]
 works with left modules over differential algebras defined over differential fields of characteristic zero which ... vice versa. For the Weyl algebra representing ordinary differential operators in characteristic zero whose coefficients ... entries in this Weyl algebra. Among the orderings for differential monomials which are available...

AUTO86
 Referenced in 253 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...

Algorithm 731
 Referenced in 36 articles
[sw12847]
 which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

CWRESU
 Referenced in 36 articles
[sw12903]
 which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

CWRESX
 Referenced in 36 articles
[sw12904]
 which compute the residuals of the differential algebraic equations (DAE) system obtained from semidiscretizing, respectively...

GPOPS
 Referenced in 36 articles
[sw05853]
 desired to optimize systems defined by differentialalgebraic equations). GPOPSII implements the new class...

ROS3P
 Referenced in 34 articles
[sw00813]
 ordinary differential equations. II: Stiff and differentialalgebraic problems...

ATOMFT
 Referenced in 32 articles
[sw09274]
 value problems for ordinary differential and differentialalgebraic equations. In the paper applications of this...

Chebfun
 Referenced in 200 articles
[sw05897]
 linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...

deSolve
 Referenced in 21 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...

DAISY
 Referenced in 20 articles
[sw09059]
 describe a software tool implementing a differential algebra algorithm to perform parameter identifiability analysis ... mathematical tools. The DAISY (Differential Algebra for Identifiability of SYstems) software will potentially be useful...