
MATLAB ODE suite
 Referenced in 273 articles
[sw12710]
 MATLAB ODE suite. The paper presents mathematical and software developments that are the basis...

COLSYS
 Referenced in 230 articles
[sw10078]
 COLSYS: Collocation Software for BoundaryValue ODEs...

ode23
 Referenced in 207 articles
[sw06600]
 MATLAB ODE Suite: ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun...

VODE
 Referenced in 177 articles
[sw01005]
 VODE: A variablecoefficient ODE solver. This paper is concerned with the development...

ma2dfc
 Referenced in 108 articles
[sw20918]
 Matrix approach to discretization of ODEs and PDEs of arbitrary real order. Functions illustrating matrix ... approach to discretization of ODEs / PDEs with fractional derivatives...

ODEPACK
 Referenced in 147 articles
[sw08341]
 ODEPACK, a systematized collection of ODE solvers. ODEPACK is a collection of Fortran solvers...

PEPA
 Referenced in 106 articles
[sw10692]
 performance analysers which use Markov chain or ODE methods or simulation. Performance results are displayed...

LOCBIF
 Referenced in 62 articles
[sw07928]
 interactive software for bifurcation analysis of ODEs and iterated maps. We present a numerical technique ... equilibrium points and limit cycles of autonomous ODEs, periodic solutions of timeperiodic nonautonomous ODEs...

Taylor
 Referenced in 59 articles
[sw10816]
 software package for the numerical integration of ODEs by means of highorder Taylor methods ... initial value problems of ordinary differential equations (ODEs). The main goal is to present ... numerical integrator for a given set of ODEs. The generated code includes a function...

PDESpecialSolutions
 Referenced in 55 articles
[sw12342]
 nonlinear ordinary and partial differential equations (ODEs and PDEs). New algorithms are given to find ... exact polynomial solutions of ODEs and PDEs in terms of Jacobi’s elliptic functions...

CVODES
 Referenced in 31 articles
[sw04946]
 solver for stiff and nonstiff ODE systems (initial value problem) given in explicit form ... available for the integration of the original ODEs, the sensitivity systems, or the adjoint system ... dependent on the solution of the original ODEs. It employs a checkpointing scheme for efficient...

deSolve
 Referenced in 28 articles
[sw04499]
 initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations ... system of firstorder ordinary differential equations (ODE), of partial differential equations (PDE), of differential ... package contains routines designed for solving ODEs resulting from ... equations (PDE) that have been converted to ODEs by numerical differencing...

CVODE
 Referenced in 42 articles
[sw04947]
 stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given in explicit form...

CL_MATCONT
 Referenced in 42 articles
[sw07132]
 which is compatible with the standard Matlab ODE representation of differential equations. MatCont...

ROWMAP
 Referenced in 40 articles
[sw09627]
 code with Krylov techniques for large stiff ODEs. We present a KrylovWcode ROWMAP...

Algorithm 919
 Referenced in 27 articles
[sw07350]
 large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent ... exponential integrators, which can solve general ODEs. Our approach is to compute the action...

Sbvp
 Referenced in 26 articles
[sw13727]
 boundary value problems in ordinary differential equations (ODEs). Our aim is the efficient numerical solution ... systems of ODEs with a singularity of the first kind, but the solver can also...

MIRKDC
 Referenced in 34 articles
[sw07159]
 Kutta software defect control for boundary value ODEs. Monoimplicit RungeKutta (MIRK) formulas...

ATOMFT
 Referenced in 34 articles
[sw09274]
 ATOMFT: Solving ODEs and DAEs using Taylor series. The ATOMFT system, based on a Taylor...

COPASI
 Referenced in 32 articles
[sw12253]
 standard and can simulate their behavior using ODEs or Gillespie’s stochastic simulation algorithm; arbitrary...