Solving inverse problems for differential equations by a ``generalized collage method and application to a mean field stochastic model

DOI10.1016/J.NONRWA.2011.05.017zbMath1294.65009OpenAlexW2023229815MaRDI QIDQ2253331

Vincenzo Capasso, Edward R. Vrscay, Herb E. Kunze, Davide La Torre

Publication date: 25 July 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.017

zbMATH Keywords

stabilitynumerical exampleinverse problemstochastic differential equationsdiffusion equationboundary value problemrandom differential equationscollage theoremmean field modelgeneralized collage theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Ordinary differential equations and systems with randomness (34F05) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Numerical solutions to stochastic differential and integral equations (65C30) Inverse problems involving ordinary differential equations (34A55)

Related Items (8)

Inverse problems via the ``generalized collage theorem for vector-valued Lax-Milgram-based variational problems ⋮ Uncertain inverse problem for fractional dynamical systems using perturbed collage theorem ⋮ Using the generalized collage theorem for estimating unknown parameters in perturbed mixed variational equations ⋮ Fractal-based methods and inverse problems for differential equations: current state of the art ⋮ Inverse-problem-based accuracy control for arbitrary-resolution fairing of quasiuniform cubic B-spline curves ⋮ Unnamed Item ⋮ Optimization methods in inverse problems and applications to science and engineering ⋮ Numerical solution for an inverse variational problem

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