The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations

DOI10.1145/42288.46156zbMath0639.65042OpenAlexW1988093340MaRDI QIDQ3780371

Jorge R. Leis, Mark A. Kramer

Publication date: 1988

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: http://www.acm.org/pubs/contents/journals/toms/1988-14/

zbMATH Keywords

sensitivity analysiserror controlmodel errorparameter variationNumerical testingfirst-order parametric sensitivity equationsmodel prediction uncertaintyODE solve

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (15)

Sensitivity analysis for dynamic systems with time-lags ⋮ Forcing Function Diagnostics for Nonlinear Dynamics ⋮ Pattern Dynamical Behaviors of One Type of Tree-Grass Model with Cross-Diffusion ⋮ Computational aspects of time-lag models of Marchuk type that arise in immunology ⋮ Efficient sensitivity analysis of large-scale differential-algebraic systems ⋮ Numerical methods and software for sensitivity analysis of differential-algebraic systems ⋮ Material parameter identification using finite elements with time-adaptive higher-order time integration and experimental full-field strain information ⋮ Sensitivity Analysis of Uncertain Dynamic Systems Using Set-Valued Integration ⋮ Computed torque control of fully-actuated nondeterministic multibody systems ⋮ A profile-based approach to parametric sensitivity in multiresponse regression models ⋮ Bond graph based sensitivity and uncertainty analysis modelling for micro-scale multiphysics robust engineering design ⋮ Sensitivity Analysis of Asset Flow Differential Equations and Volatility Comparison of Two Related Variables ⋮ Statistics for Model Calibration ⋮ Automatic analysis of one-parameter planar ordinary differential equations by intelligent numeric simulation ⋮ Identifiability and observability analysis for experimental design in nonlinear dynamical models

Uses Software

• ODESSA
• DASSL

This page was built for publication: The simultaneous solution and sensitivity analysis of systems described by ordinary differential equations