An error analysis for a numerical solution of the eigenvalue problem for compact positive operators

1980 ◽  
pp. 151-156
Author(s):  
D. Kershaw
Keyword(s):  
Eigenvalue Problem ◽  
Error Analysis ◽  
Numerical Solution ◽  
Positive Operators

The numerical solution of non-singular linear integral equations

1953 ◽  
Vol 245 (902) ◽  
pp. 501-534 ◽  
Keyword(s):  
Finite Difference ◽  
Eigenvalue Problem ◽  
Error Analysis ◽  
Numerical Solution ◽  
Integral Equations ◽  
Numerical Quadrature ◽  
Iterative Processes ◽  
Upper Limit ◽  
Linear Integral ◽  
Linear Integral Equations

The integral equations discussed and illustrated are those of Fredholm, with fixed limits in the integral and including the eigenvalue problem, and of Volterra, with a variable upper limit in the integral. The methods are mostly based on finite-difference theory, the integrals being replaced by formulae for numerical quadrature. Computational details are given for several methods, and there is a discussion of error analysis for Volterra’s equation. Some methods are given for accelerating the convergence of classical iterative processes.

scholarly journals A Comparative Study on Haar Wavelet and Hosaya Polynomial for the numerical solution of Fredholm integral equations

2018 ◽  
Vol 3 (2) ◽  
pp. 447-458 ◽  
Author(s):  
S.C. Shiralashetti ◽  
H. S. Ramane ◽  
R.A. Mundewadi ◽  
R.B. Jummannaver
Keyword(s):  
Error Analysis ◽  
Comparative Study ◽  
Numerical Solution ◽  
Integral Equations ◽  
Haar Wavelet ◽  
Fredholm Integral Equations ◽  
Polynomial Method ◽  
Wavelet Method ◽  
Haar Wavelet Method ◽  
Hosoya Polynomial

AbstractIn this paper, a comparative study on Haar wavelet method (HWM) and Hosoya Polynomial method(HPM) for the numerical solution of Fredholm integral equations. Illustrative examples are tested through the error analysis for efficiency. Numerical results are shown in the tables and figures.

scholarly journals Extension of the Chebyshev Method of Quassi-Linear Parabolic P.D.E.S With Mixed Boundary Conditions

2009 ◽  
Vol 6 (3) ◽  
pp. 603-611
Author(s):  
Baghdad Science Journal
Keyword(s):  
Error Analysis ◽  
Boundary Conditions ◽  
Numerical Solution ◽  
Linear Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Numerical Examples ◽  
Chebyshev Method

The researcher [1-10] proposed a method for computing the numerical solution to quasi-linear parabolic p.d.e.s using a Chebyshev method. The purpose of this paper is to extend the method to problems with mixed boundary conditions. An error analysis for the linear problem is given and a global element Chebyshev method is described. A comparison of various chebyshev methods is made by applying them to two-point eigenproblems. It is shown by analysis and numerical examples that the approach used to derive the generalized Chebyshev method is comparable, in terms of the accuracy obtained, with existing Chebyshev methods.

Paramagnetische Elektronenresonanz (EPR) des Europiums in Cadmiumfluorid (CdF2: Eu 2+ ), weitere Untersuchungen / Electron Paramagnetic Resonance (EPR) of Europium in Cadmium - Fluoride (CdF2 : Eu2+), Further Details

1971 ◽  
Vol 26 (10) ◽  
pp. 1589-1603
Author(s):  
D. Geist ◽  
E. Gerstenhauer ◽  
G. Rsckebrandt
Keyword(s):  
Electron Paramagnetic Resonance ◽  
Eigenvalue Problem ◽  
Numerical Solution ◽  
Paramagnetic Resonance ◽  
Cadmium Fluoride ◽  
Crystalline Field ◽  
Superhyperfine Structure ◽  
Forbidden Transitions ◽  
Epr Parameters ◽  
Electron Paramagnetic

Abstract This paper describes EPR measurements within the system CdF2 : Eu 2+ between 77 K and 300 K at 9 GHz and 35 GHz for B || [001]. The measurements enable a test of the formerly determined EPR parameters by the strict numerical solution of the eigenvalue problem including the hyper-fine terms. In particular “forbidden” transitions (ΔM = 2) also occur in a strict cubic crystalline field. An interpretation of the superhyperfine structure at 9 GHz and 35 GHz is compatible with the constants T|| = 6.26 MHz and T| = - 6.04 MHz of the interaction with the F ions of the 1 st shell.

scholarly journals The palindromic generalized eigenvalue problem A∗x=λAx: Numerical solution and applications

2011 ◽  
Vol 434 (11) ◽  
pp. 2269-2284 ◽  
Author(s):  
Tiexiang Li ◽  
Chun-Yueh Chiang ◽  
Eric King-wah Chu ◽  
Wen-Wei Lin
Keyword(s):  
Eigenvalue Problem ◽  
Numerical Solution ◽  
Generalized Eigenvalue Problem ◽  
Generalized Eigenvalue
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