High accuracy least-squares solutions of nonlinear differential equations

DOI10.1016/j.cam.2018.12.007zbMath1462.65153OpenAlexW2903584390WikidataQ95851621 ScholiaQ95851621MaRDI QIDQ1736378

Hunter Johnston, Daniele Mortari, Lidia Smith

Publication date: 26 March 2019

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

Full work available at URL: http://europepmc.org/articles/pmc7243685

zbMATH Keywords

interpolationembedded linear constraintslinear least-squares

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Iterative numerical methods for linear systems (65F10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (8)

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Uses Software

• Chebfun

Cites Work

• Unnamed Item
• A family of embedded Runge-Kutta formulae
• Least-squares solution of linear differential equations
• The theory of connections: connecting points
• Time Domain Inverse Problems in Nonlinear Systems Using Collocation & Radial Basis Functions
• Chebfun: A New Kind of Numerical Computing
• Chebyshev Collocation Methods for Ordinary Differential Equations

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