Discrete second order adjoints in atmospheric chemical transport modeling

DOI10.1016/j.jcp.2008.02.011zbMath1144.92043OpenAlexW2076482733MaRDI QIDQ939469

Lin Zhang, Adrian Sandu

Publication date: 22 August 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://eprints.cs.vt.edu/archive/00000986/

zbMATH Keywords

optimizationsensitivity analysisstiff equationschemical transport modelsHessian singular vectorssecond order adjoints

Mathematics Subject Classification ID

Ecology (92D40) Meteorology and atmospheric physics (86A10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items

Adjoint-based sensitivity analysis of flames ⋮ An optimization framework to improve 4D-Var data assimilation system performance ⋮ Efficient methods for computing observation impact in 4D-Var data assimilation ⋮ Low-rank approximations for computing observation impact in 4D-Var data assimilation ⋮ On optimal solution error covariances in variational data assimilation problems ⋮ Second-order adjoints for solving PDE-constrained optimization problems ⋮ Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes ⋮ On the discrete adjoints of adaptive time stepping algorithms ⋮ Robust Data Assimilation Using $L_1$ and Huber Norms

Uses Software

• L-BFGS-B
• L-BFGS
• RODAS
• LBFGS-B
• KPP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the limited memory BFGS method for large scale optimization
• The adjoint Newton algorithm for large-scale unconstrained optimization in meteorology applications
• An analysis of operator splitting techniques in the stiff case
• Runge-Kutta methods in optimal control and the transformed adjoint system
• Adjoint sensitivity analysis of regional air quality models
• A numerical study of limited memory BFGS methods
• Jacobi-Davidson type methods for generalized eigenproblems and polynomial eigenproblems
• Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
• Predicting air quality: Improvements through advanced methods to integrate models and measurements
• Convergence of the conjugate gradient method with computationally convenient modifications
• Solving Ordinary Differential Equations I
• On Estimation of Temperature Uncertainty Using the Second Order Adjoint Problem
• Towards Matrix-Free AD-Based Preconditioning of KKT Systems in PDE-Constrained Optimization
• Efficiency of a POD-based reduced second-order adjoint model in 4D-Var data assimilation
• Comparison of advanced large-scale minimization algorithms for the solution of inverse ill-posed problems
• Updating Quasi-Newton Matrices with Limited Storage
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Algorithm 778: L-BFGS-B
• Numerical Optimization
• An Analysis of a Hybrid Optimization Method for Variational Data Assimilation
• A Limited Memory Algorithm for Bound Constrained Optimization
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals
• On the properties of discrete adjoints of numerical methods for the advection equation
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations
• A Correction Concerning the Convergence Rate for the Conjugate Gradient Method
• The analysis of an ill-posed problem using multi-scale resolution and second-order adjoint techniques
• Enriched methods for large-scale unconstrained optimization