Numerical methods and software for sensitivity analysis of differential-algebraic systems

DOI10.1016/0168-9274(95)00117-4zbMath0854.65056OpenAlexW2012638722MaRDI QIDQ1917444

Timothy Maly, Linda R. Petzold

Publication date: 26 January 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00117-4

zbMATH Keywords

softwarealgorithmssensitivity analysislarge scale problemsDASSLDASPKdifferential-algebraic equation systems

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07)

Related Items

Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation Via Block Boundary Value Methods, Automatic differentiation of quadrature, Image inversion and uncertainty quantification for constitutive laws of pattern formation, A Survey on Optimal Control Problems with Differential-Algebraic Equations, A Survey on Numerical Methods for the Simulation of Initial Value Problems with sDAEs, On solving optimal control problems with higher index differential-algebraic equations, Efficient sensitivity analysis of large-scale differential-algebraic systems, Neighbouring-extremal control for singular dynamic optimisation problems. Part II: multiple-input systems, A hybrid direct-automatic differentiation method for the computation of independent sensitivities in multibody systems, A semi-analytical approach to sensitivity analysis with flexible multibody dynamics of a morphing forward wing section, Sensitivity Analysis of Uncertain Dynamic Systems Using Set-Valued Integration, A distributed memory parallel algorithm for the efficient computation of sensitivities of differential-algebraic systems, Second-order sensitivity analysis of multibody systems described by differentialz/algebraic equations: adjoint variable approach, Analyzing radiation diffusion using time-dependent sensitivity-based techniques., Sensitivity analysis of linearly-implicit differential--algebraic systems by one-step extrapolation., Parallel sensitivity analysis for efficient large-scale dynamic optimization, Optimal control of differential-algebraic equations of higher index. I: First-order approximations, First order sensitivity analysis of flexible multibody systems using absolute nodal coordinate formulation, Second-order adjoint sensitivity analysis of multibody systems described by differential-algebraic equations, Optimal and sustainable management of a soilborne banana pest, Novel global sensitivity analysis methodology accounting for the crucial role of the distribution of input parameters: application to systems biology models, A profile-based approach to parametric sensitivity in multiresponse regression models, Differentiable McCormick relaxations, Efficient uncertainty quantification of a fully nonlinear and dispersive water wave model with random inputs, Sensitivity analysis of large-scale time dependent PDEs, Mathematical modeling on obligate mutualism: interactions between leaf-cutter ants and their fungus garden, Reachability Analysis and Deterministic Global Optimization of DAE Models, A globally convergent inexact-Newton method for solving reducible nonlinear systems of equations, Sensitivity Analysis of Asset Flow Differential Equations and Volatility Comparison of Two Related Variables, Sensitivity analysis of ODEs and DAEs — theory and implementation guide, A review of flexible multibody dynamics for gradient-based design optimization, On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models, Derivative-Based Global Sensitivity Analysis for Models with High-Dimensional Inputs and Functional Outputs, An SQP method for the optimal control of large-scale dynamical systems, Parameter estimation and accuracy matching strategies for 2-D reactor models, Hyper-differential sensitivity analysis for inverse problems governed by ODEs with application to COVID-19 modeling, Software and algorithms for sensitivity analysis of large-scale differential algebraic systems, Symbolic Sensitivity Analysis of Multibody Systems, Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software

Uses Software

• ODESSA
• ADIFOR
• DASSL

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations
• Second-order design sensitivity analysis of mechanical system dynamics
• Using Krylov Methods in the Solution of Large-Scale Differential-Algebraic Systems