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Início
Agenda |
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- 22 de abril de 2015
16h30
Sala
Celeste -
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Rodrigo Macedo
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Friedrich-Schiller-Universität
Jena, Germany
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High-accuracy
numerical methods in classical field theories
Even
though there is a wide range of numerical methods to treat
partial differential equations (PDEs), our interests lie in
those which render highly accurate solutions, ideally close to
machine precision. In this context, pseudo-spectral methods are
probably the best choice, as they have the remarkable capability
of providing exponential convergence rate when the underlying
problem admits a regular solution. Therefore, the aim of this
talk is to give an introductory discussion to such
spectral-methods applied to some problems in classical field
theories. I shall first concentrate on examples concerning PDEs
restricted to spatial coordinates (typically elliptic
equations), a field where spectral methods find their most
common application. Then I will discuss our efforts to further
extend those methods to the realm of hyperbolic equations, where
a spectral approximation is also considered in the time
direction. -
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