Automatic Fréchet Differentiation for the Numerical Solution of Boundary-Value Problems

DOI10.1145/2331130.2331134zbMath1365.65192OpenAlexW2160015531WikidataQ113310375 ScholiaQ113310375MaRDI QIDQ2989169

Tobin A. Driscoll, Asgeir Birkisson

Publication date: 19 May 2017

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

Full work available at URL: https://doi.org/10.1145/2331130.2331134

zbMATH Keywords

Chebfunlinearization of boundary-value problemsNewton's method in function spaceobject-oriented \textsc{Matlab}

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical differentiation (65D25) Packaged methods for numerical algorithms (65Y15)

Related Items (12)

Extension of Chebfun to Periodic Functions ⋮ Backward step control for Hilbert space problems ⋮ Spectral methods for capillary surfaces described by bounded generating curves ⋮ The numerical solution of fractional integral equations via orthogonal polynomials in fractional powers ⋮ Constraint control of nonholonomic mechanical systems ⋮ Solving 1D conservation laws using Pontryagin's minimum principle ⋮ Block Operators and Spectral Discretizations ⋮ Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations ⋮ The automatic solution of partial differential equations using a global spectral method ⋮ Deflation Techniques for Finding Distinct Solutions of Nonlinear Partial Differential Equations ⋮ Two-Dimensional Modeling of Electron Flow Through a Poorly Conducting Layer ⋮ Analysis of Carrier's Problem

Uses Software

• Matlab
• INTLAB
• Chebfun
• chebop
• bvp4cAD

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