
FEniCS
 Referenced in 648 articles
[sw04314]
 particular focus on automated solution of differential equations by finite element methods. FEniCS...

SQPlab
 Referenced in 161 articles
[sw05161]
 nonconvex, but must be differentiable. A particular attention will be paid to problems with ... stands for Sequential Quadratic Programming, a method invented in the midseventies, which ... algorithm requires finding a solution to a quadratic program (QP). This is a simpler optimization ... find an approximate solution with a good precision (this is particularly true when second derivatives...

GQTPAR
 Referenced in 320 articles
[sw07451]
 guaranteed to produce a nearly optimal solution in a finite number of iterations. We also ... trust region Newton’s method. In particular, we prove that under reasonable assumptions the sequence...

PHCpack
 Referenced in 223 articles
[sw00705]
 powerful methods to compute numerically approximations to all isolated complex solutions. During the last decade ... exploiting structure in a polynomial system, in particular its sparsity. In this paper the structure ... features a great variety of rootcounting methods among its tools. The outline...

MEBDF
 Referenced in 80 articles
[sw00567]
 numerical solution of time dependent partial differential equations, particularly in two or more space dimensions ... using the method of lines. A code based on this algorithm is illustrated by application...

Biq Mac
 Referenced in 73 articles
[sw10532]
 review other solution approaches and compare the numerical results with our method. We also extend ... particular, for dense graphs, where linear programmingbased methods fail, our method performs very well ... Exact solutions are obtained in a reasonable time for any instance of size...

MPSpack
 Referenced in 9 articles
[sw14254]
 Wave Scattering, and Eigenvalue Problems Using Particular Solutions and Integral Equations. MPSpack is a user ... MATLAB toolbox that implements the method of particular solutions, nonpolynomial FEM, the method of fundamental...

CMAES
 Referenced in 109 articles
[sw05063]
 generated. In an evolution strategy, new candidate solutions are sampled according to a multivariate normal ... method to update the covariance matrix of this distribution. This is particularly useful ... QuasiNewton method in classical optimization. In contrast to most classical methods, fewer assumptions ... made. Only the ranking between candidate solutions is exploited for learning the sample distribution...

FEASPUMP
 Referenced in 127 articles
[sw04802]
 round a sequence of fractional solutions of the LP relaxation, until a feasible ... blind) with more clever rounding heuristics. In particular, we investigate the use of a diving ... down the method and with a significantly better quality of the feasible solutions found...

TRON
 Referenced in 111 articles
[sw04714]
 solution of large boundconstrained optimization problems. TRON uses a gradient projection method to generate ... Cauchy step, a preconditioned conjugate gradient method with an incomplete Cholesky factorization to generate ... step. The use of projected searches, in particular, allows TRON to examine faces...

RelaxIV
 Referenced in 25 articles
[sw05172]
 ascent methods is particularly wellsuited for taking advantage of good initial dual solutions ... cost ﬂow problems. For this reason, these methods are extremely eﬃcient for reoptimization and sensitivity...

LIMbook
 Referenced in 44 articles
[sw14520]
 that devises numerical methods able to reproduce (in the discrete solution) relevant geometric properties ... particularly Hamiltonian systems. Assuming only basic knowledge of numerical quadrature and RungeKutta methods, this ... with an introduction to the line integral methods. It describes numerous Hamiltonian problems encountered ... methods: the energyconserving RungeKutta methods, also known as Hamiltonian boundary value methods (HBVMs...

PENNON
 Referenced in 105 articles
[sw04336]
 introduce a computer program PENNON for the solution of problems of convex nonlinear and semidefinite ... generalized version of the augmented Lagrangian method, originally introduced by BenTal and Zibulevsky ... test examples show that PENNON is particularly suitable for large sparse problems...

EIRENE
 Referenced in 9 articles
[sw18048]
 than a numerical or analytical method of solution. In particular, options are retained to reduce ... particular with the various versions of the B2 code. The semiimplicit iterative coupling method...

QVILIB
 Referenced in 15 articles
[sw07063]
 different fields. Solution methods exist, but are either especially tailored to very particular classes ... engineering, the interest in general purpose solution methods is growing. The aim of this paper...

ALCON
 Referenced in 35 articles
[sw05315]
 Points The paper discusses methods for the computation of solution paths of a nonlinear system ... particular, for the corrector iteration the GaussNewton method is used where the QRfactorization...

UFO
 Referenced in 39 articles
[sw04719]
 following applications: 1. Formulation and solution of particular optimization problems that are described in Chapter ... specialized optimization routines (or subroutines) based on methods described in Chapter 3. 3. Designing...

PetIGA
 Referenced in 53 articles
[sw12420]
 implements a NURBSbased Galerkin finite element method (FEM), popularly known as isogeometric analysis ... data structures for the solution of scientific problems, particularly those modeled by partial differential equations...

GLLAMM
 Referenced in 61 articles
[sw06517]
 multivariate) normal random effects or factors. Two methods are available for numerical integration: Quadrature ... quadrature points has been used by comparing solutions with different numbers quadrature points. In most ... perform better than ordinary quadrature. This is particularly the case if the cluster sizes...

RAPTOR
 Referenced in 20 articles
[sw09002]
 method. The final solution is globally optimal with respect to energy functions. In particular...