
AUTO
 Referenced in 570 articles
[sw01059]
 continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... systems of ordinary differential equations of the form ... applicable to rather large systems of differential equations...

FreeFem++
 Referenced in 424 articles
[sw01436]
 enables you to solve Partial Differential Equations (PDE) easily. Problems involving PDE (2d, 3d) from...

AUTO86
 Referenced in 242 articles
[sw04220]
 continuation and bifurcation problems in ordinary differential equations, originally developed by Eusebius Doedel, with subsequent ... Rnand of systems of ordinary differential equations of the formu ... applicable to rather large systems of differential equations...

deal.ii
 Referenced in 270 articles
[sw03516]
 computational solution of partial differential equations using adaptive finite elements. It uses state...

PITCON
 Referenced in 249 articles
[sw04244]
 Continuation methods, in particular an ordinary differential equations approach, the code PITCON and simplicial approximation...

XPPAUT
 Referenced in 245 articles
[sw05543]
 dozens of other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations...

UG
 Referenced in 170 articles
[sw04596]
 flexible software toolbox for solving partial differential equations: Over the past two decades, some very ... numerical solution of partial differential equations have been developed. We are especially interested in adaptive...

ode23
 Referenced in 167 articles
[sw06600]
 MATLAB ODE Suite: ode23: Solve nonstiff differential equations; low order method. [T,Y] = solver(odefun ... integrates the system of differential equations y′ = f(t,y) from time...

INTOPT_90
 Referenced in 274 articles
[sw04705]
 introduces interval arithmetic, solving linear interval equations, automatic differentiation and code list generation, interval Newton ... generation of code lists and automatic differentiation. The chapter on preconditioning (32 pages) contains some ... provides techniques to transform linear interval equations into ones which might have tighter solution intervals ... Nonlinear equations and optimization. Preprint.). The chapter about nondifferentiable problems (17 pages) studies function...

FEniCS
 Referenced in 152 articles
[sw04314]
 particular focus on automated solution of differential equations by finite element methods. FEniCS ... features for automated, efficient solution of differential equations, including automated solution of variational problems, automated...

COMSOL
 Referenced in 200 articles
[sw04091]
 specify your own partial differential equations (PDEs) and link them with other equations and physics...

bvp4c
 Referenced in 139 articles
[sw06178]
 Solve boundary value problems for ordinary differential equations. sol = bvp4c(odefun,bcfun,solinit) integrates ... system of ordinary differential equations of the form y′ = f(x,y) on the interval...

MATCONT
 Referenced in 191 articles
[sw00551]
 dynamical systems. The study of differential equations requires good and powerful mathematical software. Also, flexibility...

PLTMG
 Referenced in 187 articles
[sw00717]
 package for solving elliptic partial differential equations in general regions of the plane...

DDEBIFTOOL
 Referenced in 186 articles
[sw02396]
 bifurcation and stability analysis of delay differential equations with several fixed discrete and/or statedependent...

Ode15s
 Referenced in 177 articles
[sw07426]
 ode15s. Solve stiff differential equations and DAEs; variable order method...

Chebfun
 Referenced in 173 articles
[sw05897]
 solves ordinary differential equations. The mathematical basis of the system combines tools of Chebyshev expansions ... transform, barycentric interpolation, recursive zerofinding, and automatic differentiation...

VODE
 Referenced in 167 articles
[sw01005]
 stiff) systems of ordinary differential equations. The new package can be considered ... used in the solution of the implicit equations by quasi Newton methods. In this paper ... full variable coefficient version of the backward differentiation formula methods for stiff systems. They find...

ELLPACK
 Referenced in 121 articles
[sw01208]
 problemsolving environment for elliptic partial differential equations ELLPACK is a versatile, very highlevel ... language for solving elliptic partial differential equations. Solving elliptic problems with ELLPACK typically involves...

ode45
 Referenced in 161 articles
[sw06762]
 ode45. Solve nonstiff differential equations; medium order method...