• TAMC

  • Referenced in 71 articles [sw07198]
  • with respect to control variables. Generation of adjoint code may be seen as the special ... function is a scalar. The described method for adjoint code generation is based ... generation of adjoint code represents a distinct advantage. An implementation of the method, described...
  • CVODES

  • Referenced in 33 articles [sw04946]
  • with sensitivity analysis capabilities (both forward and adjoint modes). CVODES is a superset of CVODE ... also available for CVODES. Both integration methods (Adams-Moulton and BDF) and the corresponding nonlinear ... iteration methods, as well as all linear solver and preconditioner modules are available ... chain rule of differentiation. The adjoint sensitivity analysis (ASA) method is more practical than...
  • Adjoint

  • Referenced in 8 articles [sw08877]
  • compute total derivatives using an adjoint method. The resulting linear discrete adjoint system is then ... cost of increased memory requirements for the adjoint solver. Derivatives of drag and lift coefficients ... cost and ease of implementation of the method are shown...
  • HSL_MI20

  • Referenced in 44 articles [sw07246]
  • most effective iterative methods for the solution of large, sparse linear systems obtained from ... discretization of second-order scalar elliptic self-adjoint partial differential equations. It can also ... used as a preconditioner for Krylov subspace methods. In this communication, we report...
  • JiffyTune

  • Referenced in 6 articles [sw11681]
  • procedure. In addition to traditional adjoint and direct methods ... technique called the adjoint Lagrangian method, which computes all the gradients necessary for one iteration ... optimization in a single adjoint analysis. This paper describes the algorithms and the environment...
  • FDFD

  • Referenced in 7 articles [sw01172]
  • easily parallelized. Finally, an adjoint field method of data inversion, developed in parallel for solving ... both forward and adjoint fields. Results obtained from this inversion method for high-contrast media...
  • amodMC

  • Referenced in 4 articles [sw06614]
  • Adjoint mode computation of subgradients for McCormick relaxations In [{it A. Mitsos}, {it B. Chachuat ... method similar to Algorithmic Differentiation (AD) is presented which allows the propagation of, in general ... this article an adjoint method for the computation of subgradients for McCormick relaxations is presented ... branch-and-bound method. The superiority of adjoint over tangent-linear mode is illustrated...
  • NEWOPT/AIMS

  • Referenced in 7 articles [sw02967]
  • systems the software is augmented by additional methods for sensitivity analysis and scalar optimization ... provided by the efficient semi-analytical adjoint variable method, automatic differentiation or finite differences...
  • DASPKADJOINT

  • Referenced in 4 articles [sw12821]
  • difierential-algebraic equations (DAEs) by the adjoint method, is introduced and described. Several critical issues...
  • KPP

  • Referenced in 10 articles [sw10179]
  • Forward, tangent linear, and adjoint Runge-Kutta methods in KPP-2.2. This paper presents ... Hessian. A set of integration methods was added to the comprehensive suite of stiff numerical ... well as the continuous and discrete adjoint models of the chemical system to do sensitivity...
  • Nek5000

  • Referenced in 29 articles [sw08064]
  • adjoint eigenmodes. The large eigenvalue problems are solved using matrix-free methods adopting the time...
  • AESOP

  • Referenced in 3 articles [sw02849]
  • obtain the best computational efficiency, the adjoint method is applied on the complete mapping, from ... numerical platform AESOP integrates the flow and adjoint flow solver, mesh deformation schemes, algorithms ... examples of applications are presented. The method of shape parameterization using Radial Basis Functions...
  • Algorithm 922

  • Referenced in 25 articles [sw12858]
  • Algorithm 922: A mixed finite element method for Helmholtz transmission eigenvalues. Transmission eigenvalue problem ... scattering. Since the problem is non-self-adjoint, the computation of transmission eigenvalues needs special ... transmission eigenvalue problem, a mixed finite element method is applied. The method has two major...
  • SLEIGN2

  • Referenced in 36 articles [sw01230]
  • code is based on the ideas and methods of the original SLEIGN code ... eigenfunctions of regular and singular self-adjoint Sturm-Liouville problems, with both separated and coupled...
  • FATODE

  • Referenced in 6 articles [sw11044]
  • ordinary differential equations with direct and adjoint sensitivity analysis capabilities. The paper describes the capabilities ... this package. Fatode implements four families of methods: explicit Runge-Kutta for nonstiff problems, fully ... methods by simply providing their coefficients. For each family the forward, adjoint, and tangent linear ... forward and adjoint sensitivity analysis capabilities in the context of Runge-Kutta methods. A wide...
  • TRICE

  • Referenced in 44 articles [sw05197]
  • linearized state equation and the adjoint equation. They are well suited for large scale problems ... bound constraints by using an affine scaling method proposed, for a different class of problems...
  • pFOSM

  • Referenced in 1 article [sw27927]
  • aerodynamic robust design based on continuous adjoint and matrix-vector products. This article proposes ... novel robust design tool based on the method of moments (MoM), demonstrated in problems governed ... variables are computed using the continuous adjoint method. Using a first-order MoM to compute ... vector products instead, using a combination of adjoint and direct differentiation. This makes the cost...
  • Odyssee

  • Referenced in 32 articles [sw12533]
  • usual drawback in the reverse automatic differentiation method is the storage requirement. The Odyssée system ... weather forecasting arpege/ifs project to produce the adjoint code from the code representing the numerical...
  • IBRENA

  • Referenced in 1 article [sw30481]
  • sensitivity analysis (both forward and adjoint methods), coupled with principal component analysis, singular-value decomposition...
  • DiffEqFlux

  • Referenced in 1 article [sw27559]
  • conclude by discussing the various adjoint methods used for backpropogation of the differential equation solvers...