• BVPh

  • Referenced in 217 articles [sw06575]
  • applications of the analytic approximation method for highly nonlinear problems, namely the homotopy analysis method...
  • PDE-Net

  • Referenced in 91 articles [sw36963]
  • other machine learning methods to approximate the unknown nonlinear responses. Comparing with existing approaches, which ... nonlinear response is known or fix certain finite difference approximations of differential operators, our approach ... learning both differential operators and the nonlinear responses. A special feature of the proposed...
  • DeepONet

  • Referenced in 50 articles [sw42093]
  • DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem ... single hidden layer can approximate accurately any nonlinear continuous operator. This universal approximation theorem ... learning nonlinear operators from data. However, the theorem guarantees only a small approximation error...
  • PITCON

  • Referenced in 260 articles [sw04244]
  • Algorithm 596: Methods for solving systems of nonlinear equations. Chapter 7: Parametrized systems of equations ... equations approach, the code PITCON and simplicial approximation of manifolds are contained. (netlib contin...
  • EGO

  • Referenced in 412 articles [sw07588]
  • bounded global optimization problems with additional linear, nonlinear and integer constraints. The idea ... minimum of the surface and improving the approximation by sampling where the prediction error...
  • XFEM

  • Referenced in 391 articles [sw01026]
  • standard method; standard and enriched approximations are independent; enrichment detection schemes: topological, geometrical, narrow-band ... arbitrary number of interfaces and slip-interfaces; nonlinear material models such as J2 plasticity with...
  • CVODE

  • Referenced in 65 articles [sw04947]
  • choice of formula, the resulting nonlinear system is solved (approximately) at each integration step...
  • PROC NLMIXED

  • Referenced in 70 articles [sw11039]
  • statements. PROC NLMIXED fits nonlinear mixed models by maximizing an approximation to the likelihood integrated...
  • Bonmin

  • Referenced in 214 articles [sw04766]
  • previous work in mixed integer nonlinear programming, this work represents the first step ... which branch-and-bound and polyhedral outer approximation are the two extreme cases, are proposed ... reported. Both the library of mixed integer nonlinear problems that exhibit convex continuous relaxations...
  • SNOPT

  • Referenced in 556 articles [sw02300]
  • problems with general inequality constraints (linear and nonlinear). We assume that first derivatives are available ... based on a limited-memory quasi-Newton approximation to the Hessian of the Lagrangian...
  • KELLEY

  • Referenced in 643 articles [sw04829]
  • into two parts. The first part, occupying approximately 100 pages, is devoted to the optimization ... Gauss-Newton method for the solution of nonlinear least squares problems. Both, overdetermined and underdetermined ... nonlinear least squares problems are considered. Chapter 3 is devoted to line-search and trust ... second part of the book, which is approximately 50 pages long, deals with the optimization...
  • DPIV

  • Referenced in 29 articles [sw02599]
  • particular, we formulate standard Galerkin and nonlinear Galerkin approximations of the incompressible Navier-Stokes equations ... short-term dynamics of the flow, but nonlinear Galerkin projections are more effective in capturing...
  • Tensorlab

  • Referenced in 77 articles [sw14255]
  • multilinear rank approximation (LMLRA), complex optimization: quasi-Newton and nonlinear-least squares optimization with complex...
  • SQPlab

  • Referenced in 181 articles [sw05161]
  • functions defining the problem can be nonlinear and nonconvex, but must be differentiable. A particular ... iterations (hence QP solves) to find an approximate solution with a good precision (this ... evaluation of the functions defining the nonlinear optimization problem, and their derivatives, is time consuming...
  • FilMINT

  • Referenced in 52 articles [sw06197]
  • FilMINT: an outer approximation-based solver for convex mixed-integer nonlinear programs. We describe...
  • chammp

  • Referenced in 169 articles [sw11655]
  • standard test set for numerical approximations to the shallow water equations in spherical geometry ... cosine bell over the pole, (ii) steady nonlinear zonal geostrophic flow, (iii) nonlinear steady zonal...
  • redbKIT

  • Referenced in 255 articles [sw12977]
  • proper orthogonal decomposition techniques, investigate their approximation properties and analyze offline-online decomposition strategies aimed ... context of both linear and nonlinear PDEs. Moreover, the inclusion of many pseudocodes allows...
  • DFL

  • Referenced in 35 articles [sw05163]
  • neither calculated nor approximated explicitly. This class of mixed integer nonlinear optimization problems arises frequently...
  • HSL-VF05

  • Referenced in 73 articles [sw36311]
  • region subproblem using the Lanczos method. The approximate minimization of a quadratic function within ... region is an important subproblem for many nonlinear programming methods. When the number of variables...
  • LLWM

  • Referenced in 14 articles [sw09400]
  • Laplace transform and Legendre wavelets for nonlinear Klein-Gordon equations. Klein-Gordon equation models many ... LLWM), is presented for the approximate solutions of nonlinear Klein-Gordon equations. By employing Laplace...