Spectral approximation and estimation with scattering functions

2005 ◽  
pp. 234-252 ◽  
Author(s):  
P. Dewilde
Keyword(s):  
Spectral Approximation

SPECTRAL APPROXIMATION OF A SCHRÖDINGER TYPE EQUATION

1994 ◽  
Vol 04 (01) ◽  
pp. 49-88 ◽  
Author(s):  
CHRISTINE BERNARDI ◽  
MARIE-CLAUDE PELISSIER
Keyword(s):  
Numerical Analysis ◽  
Type Equation ◽  
Neumann Boundary ◽  
Rectangular Domain ◽  
The Other ◽  
Well Posedness ◽  
Discrete Problem ◽  
Spectral Approximation ◽  
Numerical Tests ◽  
Continuous Problem

This paper deals with a linear Schrödinger type equation in a rectangular domain with mixed Dirichlet-Neumann boundary conditions. The well-posedness of the continuous problem is proved, then a discrete problem is defined by combining a Legendre type spectral method in the first direction and a leap-frog scheme in the other one. The numerical analysis of the discretization is performed and error estimates are given. Numerical tests are presented.

Locally-biased spectral approximation for community detection

2019 ◽  
Vol 164 ◽  
pp. 459-472 ◽  
Author(s):  
Pan Shi ◽  
Kun He ◽  
David Bindel ◽  
John E. Hopcroft
Keyword(s):  
Community Detection ◽  
Spectral Approximation

Spectral Approximation of a Boundary Condition for an Eigenvalue Problem

1995 ◽  
Vol 32 (4) ◽  
pp. 1263-1279 ◽  
Author(s):  
Anne-Sophie Bonnet-Bendhia ◽  
Nabil Gmati
Keyword(s):  
Boundary Condition ◽  
Eigenvalue Problem ◽  
Spectral Approximation
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