• 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 Navier-Stokes 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 PDE-constrained 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 time-dependent nonlinear multiphysics ... modern computational methods for engineering and scientific problems described by partial differential equations...
  • nlpdegm

  • Referenced in 11 articles [sw39175]
  • Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization. We study the extension ... primal-dual 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 PDE-based bioremediation...
  • MUSCOP

  • Referenced in 7 articles [sw06143]
  • solution of optimization problems with time-periodic PDE constraints. In this thesis we develop ... direct multiple shooting for optimal control problems (OCPs) constrained by time-periodic 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, single-field, and multi-field PDEs ... application experts to easily simulate real-world 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 21-dimensional parameter estimation problem ... expensive real-world nonlinear lake water quality model with partial differential equations that takes...
  • ADOL-C

  • Referenced in 257 articles [sw00019]
  • ADOL-C: 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 multi-scale spatial and...