
Nek5000
 Referenced in 143 articles
[sw08064]
 strongest direct and adjoint eigenmodes. The large eigenvalue problems are solved using matrixfree methods...

SLEIGN2
 Referenced in 41 articles
[sw01230]
 regular and singular selfadjoint SturmLiouville problems, with both separated and coupled boundary conditions...

Algorithm 922
 Referenced in 38 articles
[sw12858]
 inverse scattering. Since the problem is nonselfadjoint, the computation of transmission eigenvalues needs ... fourthorder reformulation of the transmission eigenvalue problem, a mixed finite element method is applied...

GCROT
 Referenced in 10 articles
[sw08876]
 particular, when applied to an adjoint problem from computational aerodynamics, the proposed GCROT variant...

TRICE
 Referenced in 46 articles
[sw05197]
 take advantage of the structure of the problem. In particular they do not rely ... adjoint equation. They are well suited for large scale problems arising from optimal control problems...

hIPPYlib
 Referenced in 22 articles
[sw27290]
 hIPPYlib  Inverse Problem PYthon library. hIPPYlib implements stateoftheart scalable adjointbased algorithms...

CVODES
 Referenced in 35 articles
[sw04946]
 stiff and nonstiff ODE systems (initial value problem) given in explicit form ... with sensitivity analysis capabilities (both forward and adjoint modes). CVODES is a superset of CVODE...

HSL_MI20
 Referenced in 56 articles
[sw07246]
 efficient AMG preconditioner for finite element problems in 3D. Algebraic multigrid ... discretization of secondorder scalar elliptic selfadjoint partial differential equations. It can also ... equations, as well as transient thermal convection problems associated with the Boussinesq approximation...

NPspinor
 Referenced in 18 articles
[sw00633]
 adjoint scalar wave equation on a Petrov type D spacetime. A decomposition of the problem ... associated Maxwell spinor of a nonselfadjoint scalar wave operator is algebraically degenerate...

MITgcm
 Referenced in 17 articles
[sw18107]
 adjoint capability enables it to be applied to parameter and state estimation problems. By employing...

FATODE
 Referenced in 9 articles
[sw11044]
 ordinary differential equations with direct and adjoint sensitivity analysis capabilities. The paper describes the capabilities ... methods: explicit RungeKutta for nonstiff problems, fully implicit RungeKutta, singly diagonally implicit Runge ... Kutta, and Rosenbrock for stiff problems. Each family contains several methods with different orders ... their coefficients. For each family the forward, adjoint, and tangent linear models are implemented. General...

FDFD
 Referenced in 10 articles
[sw01172]
 tomography with intended applications to environmental imaging problems has been developed. The approach consists ... designed to be easily parallelized. Finally, an adjoint field method of data inversion, developed ... parallel for solving the fully nonlinear inverse problem for electrical conductivity imaging (e.g., for mapping ... provide solvers for both forward and adjoint fields. Results obtained from this inversion method...

CASTOR
 Referenced in 9 articles
[sw09186]
 large scale eigenvalue problem 𝐀x ̲=λ𝐁x ̲, where 𝐀 is a nonselfadjoint matrix. © Academic Press...

EIGENINDSLP
 Referenced in 4 articles
[sw03225]
 known eigenvalues of selfadjoint SturmLiouville problems with coupled boundary conditions (BCs). The spectrum...

ShearLab
 Referenced in 54 articles
[sw06721]
 digital parabolic scaling algorithm. Multivariate problems are typically governed by anisotropic features such as edges ... pseudopolar grid, allowing exploitation of its adjoint for the inverse transform. This leads...

ACDP
 Referenced in 1 article
[sw34572]
 symbolic derivation of adjoint mathematical models for relevant problems in science and engineering and their ... challenging. Hence, an increased interest in algorithmic adjoints can be observed.par ... algorithmic derivation of adjoint numerical simulation programs shifts some of the problems faced from functional ... adjoint code design patterns introduced in this article aim to reduce this problem through improved...

PETSc/TS
 Referenced in 20 articles
[sw41126]
 Package includes support for both forward and adjoint sensitivities that can be easily utilized ... deliver high efficiency for modestsized problems. The library includes explicit solvers, implicit solvers...

cashocs
 Referenced in 3 articles
[sw36611]
 Computational, AdjointBased Shape Optimization and Optimal Control Software. The solution of optimization problems constrained ... written in Python, which automatically solves such problems in the context of optimal control ... cashocs implements a discretization of the continuous adjoint approach, which derives the necessary adjoint systems ... define and solve PDE constrained optimization problems with our software. In this paper, we discuss...

Hrevolve
 Referenced in 1 article
[sw35925]
 platforms. We study the problem of checkpointing strategies for adjoint computation on synchronous hierarchical platforms ... reading costs. When reversing a large adjoint chain, choosing which data to checkpoint and where ... Revolve, an optimal algorithm for this problem. We make it available in a public Python ... algorithms for the variant of the problem with two levels of storage. We provide...

cbcbeat
 Referenced in 3 articles
[sw39708]
 cbcbeat: an adjointenabled framework for computational cardiac electrophysiology. cbcbeat is a Pythonbased software ... collection targeting computational cardiac electrophysiology problems. cbcbeat contains solvers of varying complexity and performance ... allow for automated derivation and computation of adjoint and tangent linear solutions, functional derivatives ... Hessians via the dolfinadjoint software (Farrell et al, 2013). The computation of functional derivatives...