Least-squares solution of linear differential equations

DOI10.3390/math5040048zbMath1402.65060arXiv1702.08437OpenAlexW2763307945MaRDI QIDQ1649029

Daniele Mortari

Publication date: 5 July 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08437

zbMATH Keywords

interpolationlinear least squaresembedded linear constraints

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (9)

On quadrature rules for solving partial differential equations using neural networks ⋮ Physics-informed neural networks for rarefied-gas dynamics: Poiseuille flow in the BGK approximation ⋮ A novel method to approximate fractional differential equations based on the theory of functional connections ⋮ A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equations ⋮ High accuracy least-squares solutions of nonlinear differential equations ⋮ Analysis of Timoshenko-Ehrenfest beam problems using the theory of functional connections ⋮ Least-squares solutions of boundary-value problems in hybrid systems ⋮ Theory of functional connections applied to quadratic and nonlinear programming under equality constraints ⋮ Analysis of nonlinear Timoshenko-Ehrenfest beam problems with von Kármán nonlinearity using the theory of functional connections

Uses Software

• Taylor

Cites Work

• Unnamed Item
• A family of embedded Runge-Kutta formulae
• The Algebra of Elimination
• Time Domain Inverse Problems in Nonlinear Systems Using Collocation & Radial Basis Functions
• A Software Package for the Numerical Integration of ODEs by Means of High-Order Taylor Methods

This page was built for publication: Least-squares solution of linear differential equations