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Displaying 321 –
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551
We present a sparse grid/hyperbolic cross discretization for many-particle problems.
It involves the tensor product of a one-particle multilevel basis. Subsequent truncation of the associated series expansion then results in a sparse grid discretization.
Here, depending on the norms involved, different variants of sparse grid techniques for many-particle spaces can be derived
that, in the best case, result in complexities and error estimates which are independent of the number of particles.
Furthermore...
This paper uses minimization methods and renormalized functionals to find spatially heteroclinic solutions for some classes of semilinear elliptic partial differential equations
This paper uses minimization methods and renormalized
functionals to find spatially heteroclinic solutions for some classes
of semilinear elliptic partial differential equations
We study spectral discretizations for singular perturbation problems. A special technique of stabilization for the spectral method is proposed. Boundary layer problems are accurately solved by a domain decomposition method. An effective iterative method for the solution of spectral systems is proposed. Suitable components for a multigrid method are presented.
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