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THEMATIC PROGRAMS |
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Please note that this is a page for a program or event far in the past.
It contains archival information only, as things were at the time of the event.
None of this information is current. |
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Numerical and Computational Challenges in Science and Engineering Program LECTURE
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Over the past three decades, methods based on orthogonal spline
collocation (OSC) - spline collocation at Gauss points - have
evolved as effective techniques for the solution of boundary value
problems for ordinary and partial differential equations, and
in the method of lines solution of initial-boundary value problems.
These methods have several attractive features such as their high
order global accuracy and superconvergence properties, and ease
of implementation. In this talk, we provide an overview of recent
developments in the formulation and analysis of OSC methods for
partial differential equations. Special attention is devoted to
methods for certain second and fourth order elliptic boundary
value problems and to efficient techniques for the solution of
the associated systems of linear algebraic equations. We also
discuss discrete-time OSC methods for Schrodinger systems in two
space variables which arise in vibration problems. |
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