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Virginia Polytechnic Institute and State University
Approximation of integro-partial differential equations of hyperbolic type
Abstract
dc:description.abstractA 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.
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Polytechnic Institute and State University
- Year dc:date.issued
- 1986
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Fabiano, Richard H.
- Chair dc:contributor.committeechair
-
- Burns, John A.
- Committee members dc:contributor.committeemember
-
- Herdman, Terry L.
- Wheeler, Robert
- Cliff, Eugene M.
- Beattie, Christopher A.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en_US
Identifiers
dc:identifier.*- Handle dc:identifier.uri
- http://hdl.handle.net/10919/74733
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/74733