
DASOPT
 Referenced in 13 articles
[sw09260]
 dimensions, including possible inequality constraints on the state variables.par By the use of either finite ... into a large system of ordinary differential equations or DAEs. Special techniques are needed ... application to a nonlinear parabolic PDE boundary control problem in two spatial dimensions. Computational results ... with and without bounds on the state variables are presented...

FastDer++
 Referenced in 10 articles
[sw07041]
 constitute nonlinear systems of partial differential equations (PDEs) and ODEs. Although automatic differentiation ... slow for implementation in nonlinear PDE and ODE solvers, it has recently been demonstrated ... careful design handcoded derivatives, finite differencing and state of the art AD tools ... directly dealing with the nonlinear equations rather than with its linearised counterpart. This paper...

PIETOOLS
 Referenced in 2 articles
[sw38255]
 integral equation (PIE) representation of partial differential equations (PDEs) in which it is possible ... spatial variable and shows that any such PDE, suitably wellposed, admits an equivalent ... dynamics without the implicit constraints on system state imposed by boundary conditions. The second result...

ADOLC
 Referenced in 244 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

ANSYS
 Referenced in 666 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...

Chaste
 Referenced in 48 articles
[sw00122]
 Chaste: incorporating a novel multiscale spatial and...

CoCoA
 Referenced in 637 articles
[sw00143]
 CoCoA is a system for Computations in Commutative...

CXSC 2.0
 Referenced in 125 articles
[sw00182]
 A C++ class library for extended scientific computing...

GAP
 Referenced in 2974 articles
[sw00320]
 GAP is a system for computational discrete algebra...

GeM
 Referenced in 95 articles
[sw00332]
 We present a recently developed Maplebased “GeM...

Gmsh
 Referenced in 635 articles
[sw00366]
 Gmsh is a 3D finite element grid generator...

HSL
 Referenced in 274 articles
[sw00418]
 HSL (formerly the Harwell Subroutine Library) is a...

hypre
 Referenced in 284 articles
[sw00426]
 hypre is a software library for the solution...

ISOGAT
 Referenced in 298 articles
[sw00457]
 A tutorial 2D MATLAB code for solving elliptic...

KNITRO
 Referenced in 182 articles
[sw00490]
 KNITRO is a solver for nonlinear optimization. It...

LANCELOT
 Referenced in 304 articles
[sw00500]
 LANCELOT. A Fortran package for largescale nonlinear...

LAPACK
 Referenced in 1649 articles
[sw00503]
 LAPACK is written in Fortran 90 and provides...

MA57
 Referenced in 88 articles
[sw00536]
 MA57  a code for the solution of sparse...

Maple
 Referenced in 5199 articles
[sw00545]
 The result of over 30 years of cutting...

MATCONT
 Referenced in 396 articles
[sw00551]
 MATCONT: Matlab software for bifurcation study of dynamical...