System reduction using eigen spectrum analysis and Padé approximation technique

2007 ◽  
Vol 84 (12) ◽  
pp. 1871-1880 ◽  
Author(s):  
G. Parmar ◽  
S. Mukherjee ◽  
R. Prasad
Keyword(s):  
Spectrum Analysis ◽  
Padé Approximation ◽  
Approximation Technique ◽  
Pade Approximation ◽  
System Reduction

Convergence analysis of Padé approximations for Helmholtz frequency response problems

2018 ◽  
Vol 52 (4) ◽  
pp. 1261-1284 ◽  
Author(s):  
Francesca Bonizzoni ◽  
Fabio Nobile ◽  
Ilaria Perugia
Keyword(s):  
Hilbert Space ◽  
Boundary Value Problem ◽  
Padé Approximation ◽  
Approximation Error ◽  
Approximation Technique ◽  
Pade Approximation ◽  
Solution Map ◽  
Type Approximation ◽  
Numerical Tests ◽  
The Laplace Operator

The present work concerns the approximation of the solution map S associated to the parametric Helmholtz boundary value problem, i.e., the map which associates to each (real) wavenumber belonging to a given interval of interest the corresponding solution of the Helmholtz equation. We introduce a least squares rational Padé-type approximation technique applicable to any meromorphic Hilbert space-valued univariate map, and we prove the uniform convergence of the Padé approximation error on any compact subset of the interval of interest that excludes any pole. This general result is then applied to the Helmholtz solution map S, which is proven to be meromorphic in ℂ, with a pole of order one in every (single or multiple) eigenvalue of the Laplace operator with the considered boundary conditions. Numerical tests are provided that confirm the theoretical upper bound on the Padé approximation error for the Helmholtz solution map.

Improvements of Pade Approximation Technique in Model Order Reduction

1982 ◽  
Vol 15 (1) ◽  
pp. 513-517
Author(s):  
J. Pal ◽  
L.M. Ray
Keyword(s):  
Model Order Reduction ◽  
Padé Approximation ◽  
Order Reduction ◽  
Approximation Technique ◽  
Pade Approximation ◽  
Model Order

scholarly journals Shear stress analysis in axially symmetric flow using the Padé approximation technique

PAMM ◽  
2004 ◽  
Vol 4 (1) ◽  
pp. 452-453
Author(s):  
Sandra Spillane ◽  
Brendan Redmond
Keyword(s):  
Shear Stress ◽  
Stress Analysis ◽  
Padé Approximation ◽  
Approximation Technique ◽  
Axially Symmetric ◽  
Pade Approximation ◽  
Symmetric Flow
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