|
Theory
|
Practice
|
Monday
|
theoretical foundations, projection and interpolation,
Gauss quadratures, various polynomials,
FFT, Gibbs phenomenom.
|
No use of Lorene yet.
Interpolation of functions by polynomials.
Runge phenomenon.
Aliasing error.
|
Tuesday
|
Weighted residual method,
Tau, Galerkin and collocation methods,
Multi-domains applications.
|
No use of Lorene yet.
Matrix operators, solution of 1d equations,
a two-domain decomposition.
|
Wednesday
|
Tensor calculus
|
Manipulation of scalars and tensors,
graphical outputs,
Einstein equations in the 3+1 formalism
|
Thursday
|
High-level objects, solving PDE systems,
iteration, relaxation, use of several grids.
|
Application to the monopole in Yang-Mills-Higgs theory
(with one or two grids).
|
Friday
|
Singular elliptic operators
Time evolution, d'Alembert operator,
implicit schemes, boundary conditions.
|
Pure-wave equation.
|