Results 21 to 30 of about 7,909 (213)

Finite Element Approximation of Eigenvalues and Eigenfunctions of the Laplace-Beltrami Operator [PDF]

open access: yes, 2020
The surface finite element method is an important tool for discretizing and solving elliptic partial differential equations on surfaces. Recently the surface finite element method has been used for computing approximate eigenvalues and eigenfunctions of ...
Owen, Justin Ian
core   +1 more source

Eigenfunction Expansions for Second-Order Boundary Value Problems with Separated Boundary Conditions [PDF]

open access: yesMathematics Interdisciplinary Research, 2016
In this paper, we investigate some properties of eigenvalues and eigenfunctions of boundary value problems with separated boundary conditions. Also, we obtain formal series solutions for some partial differential equations associated with the second ...
Seyfollah Mosazadeh
doaj   +1 more source

Solving eigenvalues problems for Helmholtz equation by point-source method

open access: yesAdvanced Engineering Research, 2016
A method of problem solution of the eigenvalues and eigenfunctions for the Helmholtz equation in the domains with arbitrary configuration is worked out.
Elena E. Shcherbakova
doaj   +1 more source

Higher-spin initial data in twistor space with complex stargenvalues

open access: yesJournal of High Energy Physics, 2020
This paper is a supplement to and extension of arXiv:1903.01399. In the internal twistor space of the 4D Vasiliev’s higher-spin gravity, we study the star-product eigenfunctions of number operators with generic complex eigenvalues.
Yihao Yin
doaj   +1 more source

Eigenvalues and eigenfunctions of the Laplace operator on an equilateral triangle [PDF]

open access: yes, 1998
summary:A boundary value problem for the Laplace equation with Dirichlet and Neumann boundary conditions on an equilateral triangle is transformed to a problem of the same type on a rectangle. This enables us to use, e.g., the cyclic reduction method for
Práger, Milan, Milan Prager
core   +2 more sources

Ritz solution of the Helmholtz equation in a stadium-shaped domain with zero normal derivatives – applications to fluid sloshing and thermo-convective stability

open access: yesArchives of Mechanics, 2017
The eigenvalues and eigenfunctions of the Helmholtz equation with Neumann conditions are obtained for the stadium-shaped domain. The variational Ritz method is found to be accurate and efficient in determining these eigenvalues and eigenfunctions.
C.Y. Wang
doaj   +1 more source

Fundamental Spectral Theory of Fractional Singular Sturm-Liouville Operator

open access: yesJournal of Function Spaces and Applications, 2013
We give the theory of spectral properties for eigenvalues and eigenfunctions of Bessel type of fractional singular Sturm-Liouville problem. We show that the eigenvalues and eigenfunctions of the problem are real and orthogonal, respectively. Furthermore,
Erdal Bas
doaj   +1 more source

On positive eigenfunctions of Sturm‐Liouville problem with nonlocal two‐point boundary condition

open access: yesMathematical Modelling and Analysis, 2007
Positive eigenvalues and corresponding eigenfunctions of the linear Sturm‐Liouville problem with one classical boundary condition and another nonlocal two‐point boundary condition are considered in this paper.
Sigita Pečiulytė, Artūras Štikonas
doaj   +1 more source

Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem [PDF]

open access: yes, 2021
In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary ...
Erdoğan Şen   +5 more
core   +2 more sources

Analytical solution of energy eigen value, eigen function and angular wave function of Dirac equation with Rosen Morse plus Rosen Morse potential in terms of Romanovski polynomials for exact spin symmetry

open access: yesJournal of Physics: Theories and Applications, 2017
The energy eigenvalues and eigenfunctions of Dirac equation for Rosen Morse plus Rosen Morse potential are investigated numerically in terms of finite Romanovsky Polynomial.
Ihtiari Prasetyaningrum   +2 more
doaj   +1 more source

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