
TAMC
 Referenced in 72 articles
[sw07198]
 Recipes for adjoint code construction Adjoint models are increasingly being developed for use in meteorology ... analysis, and determination of singular vectors. The adjoint model computes the gradient of a cost ... with respect to control variables. Generation of adjoint code may be seen as the special ... scalar. The described method for adjoint code generation is based on a few basic principles...

Nek5000
 Referenced in 69 articles
[sw08064]
 eigenmodes of the direct and adjoint linearised NavierStokes operators, and the wavemaker is defined ... overlap of the strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved using...

GeM
 Referenced in 92 articles
[sw00332]
 program that employs “GeM” routines for symmetry, adjoint symmetry or conservation law analysis...

revolve
 Referenced in 68 articles
[sw00802]
 implementation of checkpointing for the reverse or adjoint mode of computational differentiation. This...

CVODES
 Referenced in 35 articles
[sw04946]
 with sensitivity analysis capabilities (both forward and adjoint modes). CVODES is a superset of CVODE ... original ODEs, the sensitivity systems, or the adjoint system. Depending on the number of model ... applying the chain rule of differentiation. The adjoint sensitivity analysis (ASA) method is more practical ... output functional of interest, an additional system, adjoint to the original one, is formed...

ShearLab
 Referenced in 52 articles
[sw06721]
 pseudopolar grid, allowing exploitation of its adjoint for the inverse transform. This leads...

HSL_MI20
 Referenced in 47 articles
[sw07246]
 discretization of secondorder scalar elliptic selfadjoint partial differential equations. It can also...

TRICE
 Referenced in 46 articles
[sw05197]
 linearized state equation and the adjoint equation. They are well suited for large scale problems...

dcc
 Referenced in 32 articles
[sw07577]
 first and higherorder tangentlinear and adjoint code. The author covers the mathematical underpinnings ... first and higherorder tangentlinear and adjoint modes for a limited subset...

Odyssee
 Referenced in 32 articles
[sw12533]
 weather forecasting arpege/ifs project to produce the adjoint code from the code representing the numerical ... same code as the handwritten adjoint code for the arpege/ifs project...

SLEIGN2
 Referenced in 39 articles
[sw01230]
 eigenfunctions of regular and singular selfadjoint SturmLiouville problems, with both separated and coupled...

elsA
 Referenced in 35 articles
[sw07602]
 gradients by linearized equation or by adjoint solver techniques is very useful for aerodynamic optimization...

Algorithm 922
 Referenced in 32 articles
[sw12858]
 scattering. Since the problem is nonselfadjoint, the computation of transmission eigenvalues needs special...

OpenAD/F
 Referenced in 23 articles
[sw09380]
 elimination steps. Specifically, for the generation of adjoint codes, Open/ADF supports various code reversal schemes...

MRSTAD
 Referenced in 23 articles
[sw25330]
 pressureresidual (CPR) type preconditioning, sensitivities and adjointbased gradients. Technically, MRST–AD combines three...

NPspinor
 Referenced in 16 articles
[sw00633]
 Huygens’ principle for the nonselfadjoint scalar wave equation on a Petrov type ... associated Maxwell spinor of a nonselfadjoint scalar wave operator is algebraically degenerate...

Adjoint
 Referenced in 10 articles
[sw08877]
 ADjoint: An Approach for the Rapid Development of Discrete Adjoint Solvers. An automatic differentiation tool ... used to develop the adjoint code for a threedimensional computational fluid dynamics solver. Rather ... necessary to compute total derivatives using an adjoint method. The resulting linear discrete adjoint system ... central idea behind the automatic differentiation adjoint (ADjoint) approach. This approach has the advantage that...

torchdiffeq
 Referenced in 17 articles
[sw35082]
 through all solvers is supported using the adjoint method. For usage of ODE solvers...

MITgcm
 Referenced in 16 articles
[sw18107]
 over a wide range of scales; its adjoint capability enables it to be applied...

KPP
 Referenced in 10 articles
[sw10179]
 Forward, tangent linear, and adjoint RungeKutta methods in KPP2.2. This paper presents ... well as the continuous and discrete adjoint models of the chemical system to do sensitivity...