Results 171 to 180 of about 7,909 (213)

Eigenvalues and eigenfunctions associated with the Gel’fand–Levitan equation

Journal of Mathematical Physics, 1984
It is shown here that the solutions of the Gel’fand–Levitan equation for inverse potential scattering on the line may be expressed in terms of the eigenvalues and eigenfunctions of certain associated operators of trace class. The details are sketched for the case of rational reflection coefficients, and carried out for the simplest class of examples.
Reese T Prosser
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Variations of Eigenvalues and Eigenfunctions in Continuum Mechanics

AIAA Journal, 1974
the corresponding published values in Ref. 4 by less than 5 in the fourth decimal place at each of the 36 tabulated points with the calculated value /"(0) = 1.2326740 as compared with 1.232588. The sample calculations other than for the case of /? = 1 were carried out for the cases of /?
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Neumann Eigenfunctions and Eigenvalues

2014
This chapter contains some simple facts and more advanced results on Nuemann eigenfunctions related to the hot spots conjecture.
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Stability of Pole Solutions for Planar Propagating Flames: I. Exact Eigenvalues and Eigenfunctions [PDF]

SIAM Journal on Applied Mathematics, 2000
It is well known that the nonlinear PDE describing the dynamics of a hydrodynamically unstable planar flame front admits exact pole solutions as equilibrium states.
Moshe Matalon
exaly   +1 more source

Asymptotic Behavior of Stekloff Eigenvalues and Eigenfunctions

SIAM Journal on Applied Mathematics, 1971
We consider solutions $u_n (x,y)$ of Laplace’s equation which are regular in the interior of a smooth closed plane curve c, and the boundary conditions $\partial u_n /\partial v = \lambda _n gu_n $, where g is sufficiently smooth, positive, periodic and a prescribed function of arclength, and $u_n $, $\lambda _n $ are eigenfunctions and eigenvalues to ...
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Eigenvalues and Eigenfunctions of the Spheroidal Wave Equation

Journal of Mathematical Physics, 1970
A technique is presented for the calculation of the oblate and prolate spheroidal wave equation eigenvalues and eigenfunctions. The eigenvalue problem is cast in matrix form and a tridiagonal, symmetric matrix is obtained. This formulation permits the immediate calculation of the eigenvalues to the desired accuracy by means of the bisection method. The
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Approach to energy eigenvalues and eigenfunctions from nonperturbative regions of eigenfunctions

Physical Review E, 2001
We study the approach to energy eigenvalues and eigenfunctions of Hamiltonian matrices with band structure from diagonalization of their truncated matrices. Making use of a generalization of Brillouin-Wigner perturbation theory, it is shown that in order to obtain approximate energy eigenvalues and eigenfunctions the sizes of truncated matrices should ...
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Operators, Eigenvalues and Eigenfunctions

2022
S. Rajasekar, R. Velusamy
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A study on eigenfunctions and eigenvalues on surfaces

2014
In this thesis, we summarize some of the characterization theorems of the sphere, the content of Engman’s paper [6]. We investigate the method used by Cheng [4] and we can find out that there is another method to characterize the sphere using eigenfunctions. We discover that if f is an eigenfunction of the Laplacian, with f satisfying the relation f2 +
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Computation of eigenvalues and eigenfunctions of a non-local boundary value problem with retarded argument

Complex Variables and Elliptic Equations, 2022
Erdoğan Şen, Artūras Štikonas
exaly