
MATLAB ODE suite
 Referenced in 372 articles
[sw12710]
 MATLAB ODE suite. The paper presents mathematical and software developments that are the basis...

ode23
 Referenced in 298 articles
[sw06600]
 MATLAB ODE Suite: ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun...

ma2dfc
 Referenced in 193 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...

COLSYS
 Referenced in 245 articles
[sw10078]
 COLSYS: Collocation Software for BoundaryValue ODEs...

ODEPACK
 Referenced in 196 articles
[sw08341]
 ODEPACK, a systematized collection of ODE solvers. ODEPACK is a collection of Fortran solvers...

VODE
 Referenced in 194 articles
[sw01005]
 VODE: A variablecoefficient ODE solver. This paper is concerned with the development...

RODES
 Referenced in 114 articles
[sw30194]
 rigorous ODE solver and Smale’s 14th problem: 5. The RODES Program: The RODES (Rigorous ... ODE Solver) program is a highly adaptive, multiprocessorprogram. As we pointed out earlier, the computations...

Taylor
 Referenced in 90 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...

PEPA
 Referenced in 116 articles
[sw10692]
 performance analysers which use Markov chain or ODE methods or simulation. Performance results are displayed...

LOCBIF
 Referenced in 65 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...

deSolve
 Referenced in 54 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...

PDESpecialSolutions
 Referenced in 63 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...

Algorithm 919
 Referenced in 56 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...

COPASI
 Referenced in 66 articles
[sw12253]
 standard and can simulate their behavior using ODEs or Gillespie’s stochastic simulation algorithm; arbitrary...

CL_MATCONT
 Referenced in 62 articles
[sw07132]
 which is compatible with the standard Matlab ODE representation of differential equations. MatCont...

CVODE
 Referenced in 57 articles
[sw04947]
 stiff and nonstiff ordinary differential equation (ODE) systems (initial value problem) given in explicit form...

CVODES
 Referenced in 35 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...

ROWMAP
 Referenced in 48 articles
[sw09627]
 code with Krylov techniques for large stiff ODEs. We present a KrylovWcode ROWMAP...

ATOMFT
 Referenced in 40 articles
[sw09274]
 ATOMFT: Solving ODEs and DAEs using Taylor series. The ATOMFT system, based on a Taylor...

Sbvp
 Referenced in 28 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...