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Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
Eigenfunctions expansion for discrete symplectic systems on a finite discrete interval is established in the case of a general linear dependence on the spectral parameter as a significant generalization of the Expansion the...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Higher-order finite elements based on generalized eigenfunctions of the Laplacian
We present a new class of higher-order finite elements based on generalized eigenfunctions of the Laplace operatot, which are suitable for both product and simplicial geometries in R^d. Due to simultaneous orthogonality of the g...
JA - Elektronika a optoelektronika, elektrotechnika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Optimal Construction of Koopman Eigenfunctions for Prediction and Control
generalized eigenfunctions that also give rise Koopman invariant subspaces and hence can eigenfunctions of the Koopman operator geared toward prediction and control. The method to construct a set of eigenfunctions...
Automation and control systems
- 2020 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Oscillation and spectral theory of Sturm-Liouville differential equations with nonlinear dependence in spectral parameter
is more general than in the current literature in two respects: (i) the coefficients depend onthe spectral parameter lambda in general nonlinearly, and (ii) the potential that the usual strict normality assumption is now removed. T...
BA - Obecná matematika
- 2013 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Multipartitle EPR states
The Einstein-Podolsky-Rosen (EPR) wavefunction is a two-particle wavefunction that is a simultaneous eigenfunction of the relative coordinate and the centre-of-mass momentum of an eigenfunction of the relative coordinate and an ...
IN - Informatika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Spectral and oscillation theory for general second order Sturm-Liouville difference equations
and eigenfunctions to this more general setting. Our main result generalizes the recentlyIn this paper we establish an oscillation theorem for second order Sturm-Liouville difference equations with general nonline...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Eigenvalue problems, resonance problems and open problems
We discuss several open problems related to the eigenvalues and eigenfunctions of the p-Laplacian. We emphasize the fundamental role played by the variational characterization of eigenvalues and eigenfunctions....
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
The first eigenvalue and eigenfunction of a nonlinear elliptic system
of the system and the corresponding eigenfunction are investigated both analytically generates a decreasing sequence of positive numbers and various examples numerically indicate its convergence. Further, the algorithm is gener...
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Projection-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions
For conforming finite element approximations of the Laplacian eigenfunctions, a fully computable guaranteed error bound in the L2 norm sense is proposed. The bound finite element method, and has an optimal speed of convergence for the ei...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On the generalization of the courant nodal domain theorem
In this paper we consider the analogue of the Courant nodal domain theorem for the nonlinear eigenvalue problem for the p-Laplacian. In particular we prove that if $u_{lambda_n}$ is an eigenfunction associated with the nth variational eigenv...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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