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Approximation of integro-partial differential equations of hyperbolic type

descriptionPublicationkeyboard_double_arrow_right Doctoral thesis 30 Jan 2017 United States English Publisher:Virginia Polytechnic Institute and State University
Authors: Fabiano, Richard H.;

handle: 10919/74733

Approximation of integro-partial differential equations of hyperbolic type

Abstract

A state space model is developed for a class of integro-partial differential equations of hyperbolic type which arise in viscoelasticity. An approximation scheme is developed based on a spline approximation in the spatial variable and an averaging approximation in the de1ay variable. Techniques from linear semigroup theory are used to discuss the well-posedness of the state space model and the convergence properties of the approximation scheme. We give numerical results for a sample problem to illustrate some properties of the approximation scheme.

Ph. D.

Country
United States
Related Organizations
Keywords

Difference equations, LD5655.V856 1986.F345

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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