• INTLAB

  • Referenced in 471 articles [sw04004]
  • automatic differentiation (forward mode, vectorized computations, fast) Gradients (to solve systems of nonlinear equations) Hessians ... sequential approach, slow for many variables) verified integration of (simple) univariate functions univariate and multivariate...
  • glmmTMB

  • Referenced in 8 articles [sw31739]
  • linear predictor and are integrated out using the Laplace approximation. Gradients are calculated using automatic...
  • CVODES

  • Referenced in 35 articles [sw04946]
  • preconditioner modules are available for the integration of the original ODEs, the sensitivity systems ... method is mostly suitable when the gradients of many outputs (for example the entire solution ... then be used to evaluate the gradient of the output functional with respect ... provides the infrastructure required for the backward integration in time of systems of differential equations...
  • SyReNN

  • Referenced in 1 article [sw40543]
  • performance on three case studies: computing Integrated Gradients, visualizing a DNN’s decision boundaries...
  • elsA

  • Referenced in 39 articles [sw07602]
  • dual time stepping method or the Gear integration scheme are employed. Preconditioning is used ... Also, a module dealing with calculation of gradients by linearized equation or by adjoint solver...
  • CovXNet

  • Referenced in 3 articles [sw41860]
  • employed. Finally, a gradient-based discriminative localization is integrated to distinguish the abnormal regions...
  • PhaseFieldUEL

  • Referenced in 14 articles [sw35143]
  • hydrogen diffusion response, driven by chemical potential gradients, and a hydrogen-dependent fracture energy degradation ... problem is solved in an implicit time integration scheme, where displacements, phase field order parameter...
  • DAFoam

  • Referenced in 2 articles [sw41098]
  • efficient approach for computing derivatives that allow gradient-based optimization to handle systems parameterized with ... adjoint solvers and models are integrated into a gradient-based optimization framework, and four distinct...
  • UDDAE_Optimization

  • Referenced in 3 articles [sw38320]
  • this way we can take into account integral controller and distributed terms. The time-delay ... objective function and its gradient are numerically evaluated by computing integrals using quasi-Monte Carlo...
  • Algorithm 731

  • Referenced in 37 articles [sw12847]
  • dimension having solutions with steep gradients in space and in time. One of these techniques ... system, a robust and efficient time-integrator must be applied, for example, a BDF method...
  • REMSO

  • Referenced in 2 articles [sw29712]
  • simulations in parallel and gradient computations. Compared to conventional integration of reservoir simulators and optimizers...
  • CWRESU

  • Referenced in 37 articles [sw12903]
  • dimension having solutions with steep gradients in space and in time. One of these techniques ... system, a robust and efficient time-integrator must be applied, for example, a BDF method...
  • CWRESX

  • Referenced in 37 articles [sw12904]
  • dimension having solutions with steep gradients in space and in time. One of these techniques ... system, a robust and efficient time-integrator must be applied, for example, a BDF method...
  • geomstats

  • Referenced in 9 articles [sw24373]
  • functions. We also give the corresponding Riemannian gradients. The operations implemented in geomstats are available ... keras. We have enabled GPU implementation and integrated geomstats manifold computations into keras deep learning...
  • MERLIN

  • Referenced in 14 articles [sw04248]
  • difficulty. Many algorithms require evaluation of the gradient and this imposes additional problems since ... well as in accuracy. Merlin is an integrated environment designed to solve optimization problems...
  • COKOSNUT

  • Referenced in 3 articles [sw22274]
  • nonlinear conjugate gradient scheme and an efficient splitting procedure for the numerical integration...
  • dfauto

  • Referenced in 1 article [sw33736]
  • correlation kernel on an integration grid, along with the gradients necessary for Kohn-Sham calculations...
  • AMGCL

  • Referenced in 15 articles [sw29215]
  • preconditioner within an iterative solver (e.g. Conjugate Gradients, BiCGStab, or GMRES). The library has minimal ... provide their own backends which enables tight integration between AMGCL and the user code...
  • MINMOD

  • Referenced in 13 articles [sw16356]
  • squares estimation technique is used, employing a gradient-type of estimation algorithm, and the first ... parameters have been shown to represent an integrated metabolic portrait of a single individual...
  • PRONTO 2D

  • Referenced in 13 articles [sw18327]
  • uses an explicit time integration operator to integrate the equations of motion. Four node uniform ... from the polar decomposition of the deformation gradient. An accurate incremental algorithm was developed...