
MATLAB ODE suite
 Referenced in 405 articles
[sw12710]
 programs for the solution of initial value problems y ’ =F(t,y), with initial conditions...

ODEPACK
 Referenced in 200 articles
[sw08341]
 collection of Fortran solvers for the initial value problem for ordinary differential equation systems...

NGSolve
 Referenced in 104 articles
[sw13154]
 With NGSolve one can solve boundary value problems, initialboundary value problems and Eigenvalue problems...

Taylor
 Referenced in 96 articles
[sw10816]
 method for the numerical integration of initial value problems of ordinary differential equations (ODEs...

MEBDF
 Referenced in 85 articles
[sw00567]
 large sparse systems of stiff initial value problems. An efficient algorithm for the numerical integration ... large sparse systems of stiff initial value ordinary differential equations and differentialalgebraic equations ... algorithm is illustrated by application to several problems of practical interest and its performance...

deSolve
 Referenced in 64 articles
[sw04499]
 package deSolve: General solvers for initial value problems of ordinary differential equations (ODE), partial differential ... differential equations (DDE) , Functions that solve initial value problems of a system of firstorder...

EXPFIT4
 Referenced in 39 articles
[sw00257]
 systems of nonlinear secondorder initialvalue problems. We present a FORTRAN program which solves ... initialvalue problem associated with nonstiff systems of the form ... particularly suited to solve secondorder initialvalue problems arising from physics...

CVODE
 Referenced in 62 articles
[sw04947]
 nonstiff ordinary differential equation (ODE) systems (initial value problem) given in explicit form...

ROWMAP
 Referenced in 49 articles
[sw09627]
 ROWMAP for the integration of stiff initial value problems. It is based...

ACRITHXSC
 Referenced in 49 articles
[sw00015]
 successfully applied to a variety of engineering problems in soil mechanics, optics of liquid crystals ... bounds on the solution of an initial value problem is given...

ATOMFT
 Referenced in 41 articles
[sw09274]
 designated to solve stiff and nonstiff initial value problems for ordinary differential and differentialalgebraic...

PARAEXP
 Referenced in 28 articles
[sw07168]
 PARAEXP: a parallel integrator for linear initialvalue problems. A novel parallel algorithm ... integration of linear initialvalue problems is proposed. This algorithm is based on the simple...

DAETS
 Referenced in 37 articles
[sw12535]
 series method for solving numerically an initialvalue problem differential algebraic equation (DAE) that...

deTestSet
 Referenced in 22 articles
[sw06062]
 test set for stiff initial value problem solvers in the open source software R: Package ... package deTestSet that includes challenging test problems written as ordinary differential equations, differential algebraic equations ... includes 6 new codes to solve initial value problems. The R package is derived from ... test set for initial value problem solvers available at url{http://www.dm.uniba.it/ testset} which includes...

Ipopt
 Referenced in 740 articles
[sw04808]
 find (local) solutions of mathematical optimization problems of the from ... same value. Ipopt is part of the COINOR Initiative...

CVODES
 Referenced in 35 articles
[sw04946]
 stiff and nonstiff ODE systems (initial value problem) given in explicit form...

BiMD
 Referenced in 23 articles
[sw13275]
 nonlinear splittings for solving the corresponding discrete problems, [41,43,46,54]. In particular ... ordervariable stepsize method for (stiff) initial value problems for ODEs. The order ... code BiM for solving (stiff) initial value problems for linearly implicit DAEs of index...

avalanche.f
 Referenced in 19 articles
[sw13859]
 numerical treatment of a singular initial value problem in avalanche modeling. We discuss a leading ... form of a singular initial value problem for a scalar ordinary differential equation describing ... based on a solver for singular initial value problems which is an implementation...

ValEncIAIVP
 Referenced in 29 articles
[sw04846]
 VALENCIAIVP: A Comparison with Other Initial Value Problem Solvers Validated integration of ordinary differential...