Solving parameter estimation problems with discrete adjoint exponential integrators
From MaRDI portal
Publication:4685568
DOI10.1080/10556788.2018.1448087zbMath1401.49050arXiv1704.02549OpenAlexW2605668673WikidataQ115550179 ScholiaQ115550179MaRDI QIDQ4685568
Mahesh Narayanamurthi, Ulrich Römer, Adrian Sandu
Publication date: 9 October 2018
Published in: Optimization Methods and Software (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02549
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discrete approximations in optimal control (49M25) Inverse problems in optimal control (49N45)
Related Items (2)
Partitioned exponential methods for coupled multiphysics systems ⋮ Efficient implementation of partitioned stiff exponential Runge-Kutta methods
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)
- Automated solution of differential equations by the finite element method. The FEniCS book
- Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes
- On the discrete adjoints of adaptive time stepping algorithms
- Runge-Kutta methods in optimal control and the transformed adjoint system
- Adjoint sensitivity analysis of regional air quality models
- W-methods in optimal control
- Edge element formulations of eddy current problems
- Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods
- Computation of order conditions for symplectic partitioned Runge-Kutta schemes with application to optimal control
- Numerical analysis of nonlinear multiharmonic eddy current problems
- Symplectic Runge--Kutta Schemes for Adjoint Equations, Automatic Differentiation, Optimal Control, and More
- FATODE: A Library for Forward, Adjoint, and Tangent Linear Integration of ODEs
- Forward, tangent linear, and adjoint Runge–Kutta methods for stiff chemical kinetic simulations
- The Tapenade automatic differentiation tool
- A Posteriori Error Estimates for the Solution of Variational Inverse Problems
- Evaluating Derivatives
- Introduction to Automatic Differentiation and MATLAB Object-Oriented Programming
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Practical Methods for Optimal Control and Estimation Using Nonlinear Programming
- An Attempt to Avoid Exact Jacobian and Nonlinear Equations in the Numerical Solution of Stiff Differential Equations
- Expokit
- On Krylov Subspace Approximations to the Matrix Exponential Operator
- Algorithm 799: revolve
- A Limited Memory Algorithm for Bound Constrained Optimization
- On the Properties of Runge-Kutta Discrete Adjoints
- A Practical Method to Estimate Information Content in the Context of 4D-Var Data Assimilation
- Forward, Tangent Linear, and Adjoint Runge-Kutta Methods in KPP–2.2
- Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems.
This page was built for publication: Solving parameter estimation problems with discrete adjoint exponential integrators