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Algorithmic Differentiation of Numerical Methods

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Outgoing claims: the papers this work cites, builds on, or argues with.

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The Implementation and Testing of Time-minimal and Resource-optimal Parallel Reversal Schedules

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Call Tree Reversal is NP-Complete

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Collected Matrix Derivative Results for Forward and Reverse Mode Algorithmic Differentiation

inferredcites →https://doi.org/10.1016/j.future.2004.11.009openalex-snapshot

“To be recorded” analysis in reverse-mode automatic differentiation

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DAG reversal is NP-complete

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On the use of discrete adjoints in goal error estimation for shallow water equations

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Algorithmic Differentiation of a Complex C++ Code with Underlying Libraries

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A Discrete Adjoint Model for OpenFOAM

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Reverse differentiation and the inverse diffusion problem

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Reduced Functions, Gradients and Hessians from Fixed-Point Iterations for State Equations

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Automatic differentiation and iterative processes

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Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation

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Reverse accumulation and attractive fixed points

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The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations

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Lecture Notes in Computer Science 1205

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New Algorithms for Optimal Online Checkpointing

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Evaluating Derivatives

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The Art of Differentiating Computer Programs

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What Color Is Your Jacobian? Graph Coloring for Computing Derivatives

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Algorithm 755: ADOL-C

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The Tapenade automatic differentiation tool

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Recipes for adjoint code construction

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Algorithm 799: revolve

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Fast Greeks by algorithmic differentiation

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Adjoint algorithmic differentiation: calibration and implicit function theorem

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Adjoint algorithmic differentiation tool support for typical numerical patterns in computational finance

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Discrete Adjoint based Sensitivity Analysis for Optimal Flow Control of a 3D High-Lift Configuration

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A 3-D tomographic retrieval approach with advection compensation for the air-borne limb-imager GLORIA

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Automatic Implicit Function Theorem

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Numerical Stability of Tangents and Adjoints of Implicit Functions

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Non-Classical States of Light for Device-Independent Quantum Key Distribution

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MPI-Parallel Discrete Adjoint OpenFOAM

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Second-order Tangent Solvers for Systems of Parameterized Nonlinear Equations

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Higher-order Discrete Adjoint ODE Solver in C++ for Dynamic Optimization

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A Case Study in Adjoint Sensitivity Analysis of Parameter Calibration

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Algorithmic Differentiation of Numerical Methods: Second-order Adjoint Solvers for Parameterized Systems of Nonlinear Equations

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A usability case study of algorithmic differentiation tools on the ISSM ice sheet model

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Convergence and error analysis of an automatically differentiated finite volume based heat conduction code

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Towards compiler-aided correctness checking of adjoint MPI applications

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Efficient GPU Implementation of Automatic Differentiation for Computational Fluid Dynamics

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Quad Layout Embedding via Aligned Parameterization

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Low-Memory Algorithmic Adjoint Propagation

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A Matrix-Free Exact Newton Method

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Differential Inversion of the Implicit Euler Method

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Towards automatic significance analysis for approximate computing

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Adjoint Code Design Patterns

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Fully automatic adjoints of large-scale numerical simulations

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A GPU-Accelerated Linear Solver for Massively Parallel Underground Simulations

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Adjoint differentiation for generic matrix functions

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STAMPS: a Finite-Volume Solver Framework for Adjoint Codes Derived with Source-Transformation AD

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