Inverse problems for DEs and PDEs using the collage theorem: a survey

DOI10.1504/IJANS.2013.052752zbMath1288.65110OpenAlexW2094257836MaRDI QIDQ2450787

Edward R. Vrscay, Franklin Mendivil, Davide La Torre, Herb E. Kunze

Publication date: 16 May 2014

Published in: International Journal of Applied Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijans.2013.052752

zbMATH Keywords

numerical examplesinverse problemsboundary value problemsinitial value problemsdifferential equationspartial differential equationsEuler-Bernoulli beam equationcollage theorem

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear ordinary differential equations and systems (34A34) Inverse problems for PDEs (35R30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Inverse problems involving ordinary differential equations (34A55) Linear boundary value problems for ordinary differential equations (34B05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution of inverse problems involving ordinary differential equations (65L09)

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