scholarly journals A high accuracy spectral method based on min/max principle for biharmonic eigenvalue problems on a spherical domain

2016 ◽  
Vol 439 (1) ◽  
pp. 385-395 ◽  
Author(s):  
Jing An ◽  
Zhendong Luo
Keyword(s):  
Spectral Method ◽  
Eigenvalue Problems ◽  
High Accuracy ◽  
Spherical Domain ◽  
Biharmonic Eigenvalue Problems

scholarly journals Almost Exact Computation of Eigenvalues in Approximate Differential Problems

2019 ◽  
Vol 24 (4) ◽  
pp. 96 ◽  
Author(s):  
José M. A. Matos ◽  
Maria João Rodrigues
Keyword(s):  
Eigenvalue Problems ◽  
High Accuracy ◽  
Second Step ◽  
Matlab Toolbox ◽  
Differential Problem ◽  
Algebraic Problem ◽  
Polynomial Expression ◽  
Computation Of Eigenvalues ◽  
Potential Use ◽  
Mathematics And Physics

Differential eigenvalue problems arise in many fields of Mathematics and Physics, often arriving, as auxiliary problems, when solving partial differential equations. In this work, we present a method for eigenvalues computation following the Tau method philosophy and using Tau Toolbox tools. This Matlab toolbox was recently presented and here we explore its potential use and suitability for this problem. The first step is to translate the eigenvalue differential problem into an algebraic approximated eigenvalues problem. In a second step, making use of symbolic computations, we arrive at the exact polynomial expression of the determinant of the algebraic problem matrix, allowing us to get high accuracy approximations of differential eigenvalues.

Spectral method for processing signals of a high-accuracy laser radar

2016 ◽  
Vol 52 (6) ◽  
pp. 563-569
Author(s):  
A. V. Klimov ◽  
V. G. Glavnyi ◽  
G. V. Bakakin ◽  
V. G. Meledin
Keyword(s):  
Spectral Method ◽  
High Accuracy ◽  
Laser Radar
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