Efficient numerical differentiation of implicitly-defined curves for sparse systems

DOI10.1016/j.cam.2016.03.002zbMath1337.65020OpenAlexW2305951159MaRDI QIDQ273412

David A. Brown, David W. Zingg

Publication date: 22 April 2016

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.03.002

zbMATH Keywords

homotopy continuationnumerical differentiationcompressible aerodynamic fluid flowhigh-order predictorimplicitly-defined curvessparse systems

Mathematics Subject Classification ID

Gas dynamics (general theory) (76N15) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical differentiation (65D25)

Related Items (4)

Design and evaluation of homotopies for efficient and robust continuation ⋮ Monolithic homotopy continuation with predictor based on higher derivatives ⋮ The singular value expansion of the Volterra integral equation associated to a numerical differentiation problem ⋮ Multivariate numerical derivative by solving an inverse heat source problem

Uses Software

• GCROT

Cites Work

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