
Diamant toolbox
 Referenced in 12 articles
[sw12524]
 Diamant toolbox. Sufficiently smooth nonlinear PDE problems may be addressed through the higher order derivative ... theoretically discuss the generic solution of nonlinear residual equations. We then propose a Matlab implementation...

ML
 Referenced in 126 articles
[sw08067]
 systems of equations arising primarily from elliptic PDE discretizations. ML is used to define ... problems, including the incompressible NavierStokes equations with heat and mass transfer, linear and nonlinear...

redbKIT
 Referenced in 255 articles
[sw12977]
 introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential ... PDEs depending on several parameters and PDEconstrained optimization. The book presents a general mathematical ... context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows...

DASOPT
 Referenced in 14 articles
[sw09260]
 application to a nonlinear parabolic PDE boundary control problem in two spatial dimensions. Computational results...

Hermes2D
 Referenced in 15 articles
[sw06452]
 problems ranging from ODE and stationary linear PDE to complex timedependent nonlinear multiphysics ... modern computational methods for engineering and scientific problems described by partial differential equations...

nlpdegm
 Referenced in 11 articles
[sw39175]
 Primaldual extragradient methods for nonlinear nonsmooth PDEconstrained optimization. We study the extension ... primaldual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces. Local convergence...

ORBIT
 Referenced in 39 articles
[sw20552]
 models considered often allow ORBIT to interpolate nonlinear functions using fewer function evaluations than ... points. We present numerical results on test problems to motivate the use of ORBIT when ... different application problems, calibration of a watershed model and optimization of a PDEbased bioremediation...

MUSCOP
 Referenced in 7 articles
[sw06143]
 solution of optimization problems with timeperiodic PDE constraints. In this thesis we develop ... direct multiple shooting for optimal control problems (OCPs) constrained by timeperiodic partial differential equations ... runtime for a nonlinear benchmark problem compared to the use of the exact Lagrangian Hessian ... PDE OCPs of growing difficulty ranging from linear academic problems, over highly nonlinear academic problems...

ParaOpt
 Referenced in 5 articles
[sw35927]
 parallel solution of optimality systems arising in PDE constrained optimization could be achieved by simply ... solve the forward and backward evolution problems arising in the optimization loop. We propose here ... ParaOpt, for the coupled forward and backward nonlinear partial differential equations. ParaOpt is inspired ... analysis for the case of linear parabolic PDE constraints. We illustrate the performance of ParaOpt...

Gridap
 Referenced in 8 articles
[sw34982]
 wide range of problem types including linear, nonlinear, singlefield, and multifield PDEs ... application experts to easily simulate realworld problems, to help researchers improve productivity when developing ... also for its usage in numerical PDE courses...

trlib
 Referenced in 3 articles
[sw17722]
 problem frequently arises in sequential methods for nonlinear optimization. In this implementation, we made ... unconstrained problems of the CUTEst benchmark set. In addition to this, interfacing the PDE discretization...

FIDE
 Referenced in 5 articles
[sw09196]
 automation of FInite difference method for solving pDE. The article deals with automation ... applied to two physical problems. The first one is the nonlinear Schrödinger equation, which describes...

AQUASOL
 Referenced in 3 articles
[sw17113]
 second order, elliptic, nonlinear PDE, its response coefficients are nonlinear functions of the electrostatic potential ... Comput. Chem.16, 337 (1995)] to the problem of solving the DPBL equation. This solver uses...

GOPS
 Referenced in 1 article
[sw41018]
 processors including application to multimodal water quality PDE model calibration. This paper describes ... GOPS’s parallel performance on high dimensional problems in comparison to other global optimization algorithms ... problems (in 10, 21, and 40 dimensions) and one 21dimensional parameter estimation problem ... expensive realworld nonlinear lake water quality model with partial differential equations that takes...

ADOLC
 Referenced in 257 articles
[sw00019]
 ADOLC: Automatic Differentiation of C/C++. We present...

ALBERT
 Referenced in 83 articles
[sw00025]
 ALBERT  Software for scientific computations and applications. Adaptive...

ANSYS
 Referenced in 713 articles
[sw00044]
 ANSYS offers a comprehensive software suite that spans...

BARON
 Referenced in 361 articles
[sw00066]
 BARON is a computational system for solving nonconvex...

CGAL
 Referenced in 402 articles
[sw00118]
 The goal of the CGAL Open Source Project...

Chaste
 Referenced in 54 articles
[sw00122]
 Chaste: incorporating a novel multiscale spatial and...