Concepedia

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

Timothy Maly, Linda Petzold

Applied Numerical Mathematics · 1996 · 231 citations · 25 references

Concepts

Natural SciencesComputational EngineeringMathematicsDifferential EquationsDynamical SystemsNumerical AlgorithmsNumerical AnalysisNumerical Methods For Differential EquationsNumerical StabilitySensitivity AnalysisSystems Of Differential EquationsDerivative-based Sensitivity AnalysisNonlinear Differential-algebraic EquationsParameter Sensitivity AnalysisPerturbed Differential-algebraic EquationsSensitivity Analysis In Dynamic ModelsSensitivity Analysis In Simulation ModelsSensitivity Analysis Of Model Parameters

References

25

GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems

Martin H. Schultz · SIAM Journal on Scientific and Statistical Computing · 1986 · 11.1K citations

Computing, Computer Science, Mathematics +15

Practical optimization

Reuven R. Levary · European Journal of Operational Research · 1982 · 4.2K citations

Discrete Variable Methods in Ordinary Differential Equations.

A. B. Farnell, Peter Henrici · American Mathematical Monthly · 1962 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +12

Numerical treatment of ordinary differential equations by extrapolation methods

Roland Bulirsch, Josef Stoer · Numerische Mathematik · 1966 · 850 citations

Natural Sciences, Mathematics, Physics +12

Comparing Numerical Methods for Ordinary Differential Equations

T. E. Hull, W. H. Enright, B. M. Fellen et al. · SIAM Journal on Numerical Analysis · 1972 · 716 citations

Natural Sciences, Mathematics, Computational Fluid Dynamics +13