Results 31 to 40 of about 81,469 (234)

Accurate calculation of the eigenvalues of a new simple class of superpotentials in SUSY quantum mechanics [PDF]

, 2013
We obtain accurate eigenvalues for two recently derived SUSY partner Hamiltonians. We improve the Rayleigh-Ritz variational method proposed by the authors and show how to apply the Riccati-Pad\'{e} method to those particular partner ...
Fernández, Francisco M.
core   +4 more sources

On the Convergence of Ritz Pairs and Refined Ritz Vectors for Quadratic Eigenvalue Problems

, 2015
For a given subspace, the Rayleigh-Ritz method projects the large quadratic eigenvalue problem (QEP) onto it and produces a small sized dense QEP. Similar to the Rayleigh-Ritz method for the linear eigenvalue problem, the Rayleigh-Ritz method defines the
A. Neumaier, B. Wang, F. Tisseur, F. Tisseur, G.L.G. Sleijpen, G.L.G. Sleijpen, G.W. Stewart, G.W. Stewart, H. Voss, I.C. Gohberg, I.C.F. Ipsen, J. Huitfeldt, K. Meerbergen, L. Elsner, L. Hoffnung, M.E. Hochstenbach, P. Lancaster, Q. Ye, R.-C. Li, Tsung-Ming Huang, W.Q. Huang, Wen-Wei Lin, Y. Lin, Z. Bai, Z. Jia, Z. Jia, Z. Jia, Z. Jia, Z. Jia, Z. Jia, Zhongxiao Jia   +30 more
core   +1 more source

Numerical Solution of Fractional Diffusion Wave Equation and Fractional Klein–Gordon Equation via Two-Dimensional Genocchi Polynomials with a Ritz–Galerkin Method

Computation, 2018
In this paper, two-dimensional Genocchi polynomials and the Ritz–Galerkin method were developed to investigate the Fractional Diffusion Wave Equation (FDWE) and the Fractional Klein–Gordon Equation (FKGE).
Afshan Kanwal, Chang Phang, Umer Iqbal
doaj   +1 more source

Effect of lamination schemes on natural frequency and modal damping of fiber reinforced laminated beam using Ritz method

International Journal for Simulation and Multidisciplinary Design Optimization, 2021
The current study focussed on analysing natural frequency and damping of laminated composite beams (LCBs) by varying fiber angle, aspect ratio, material property and boundary conditions.
Naidu Balireddy Somi, Jeyaraj Pitchaimani, Chinnapandi Lenin Babu Mailan, Reddi Ch V.S.N.   +3 more
doaj   +1 more source

Sharp error bounds for Ritz vectors and approximate singular vectors

, 2019
We derive sharp bounds for the accuracy of approximate eigenvectors (Ritz vectors) obtained by the Rayleigh-Ritz process for symmetric eigenvalue problems.
Nakatsukasa, Yuji
core   +1 more source

Legendre Ritz-Least squares method for the numerical solution of delay differential equations of the multi-pantograph type [PDF]

Mathematics and Computational Sciences
This paper is concerned with a Legendre Ritz-Least squares technique for the non-singular and singular delay differential equations (DDEs) of multi-pantograph type. This tech-nique is based on Legendre polynomials and Least squares.
Meisam Noei Khorshidi, Mohammad Arab Firoozjaee   +1 more
doaj   +1 more source

Linear Stochastic Models of Nonlinear Dynamical Systems

, 1998
We investigate in this work the validity of linear stochastic models for nonlinear dynamical systems. We exploit as our basic tool a previously proposed Rayleigh-Ritz approximation for the effective action of nonlinear dynamical systems started from ...
B. A. Finlayson, C. Penland, E. Lorenz, F. Schlögl, F. Schlögl, G. L. Eyink, G. L. Eyink, G. L. Eyink, G. L. Eyink, G. L. Eyink, Gregory L. Eyink, H. Cramér, J. L. Lumley, L. Onsager, L. Onsager, R. H. Kraichnan, R. S. Ellis, S. Machlup   +17 more
core   +2 more sources

Ritz formulation for the wave propagation analysis of axially functionally graded carbon nanotubes [PDF]

Proceedings of the Estonian Academy of Sciences
Longitudinal wave propagation in axially functionally graded carbon nanotubes was investigated using three different solution methods: analytical, higher order Haar wavelet and Ritz methods.
Mustafa Arda, Tamer Tosun
doaj   +1 more source

Explicit Buckling Analysis of Rotationally Restrained Plates on Rigid Base Under Various Loading Conditions

Shanghai Jiaotong Daxue xuebao, 2022
In order to investigate the unilateral buckling behavior of rectangular plates with different elastic rotational restraint stiffnesses on the rigid foundation, the buckling of rectangular plates with elastic rotation constraints on the rigid foundation ...
WU Tao, MO Shixu, XIANG Yongbin, ZOU Zequn, ZHENG Yan
doaj   +1 more source

On two different kinds of resonances in one-dimensional quantum-mechanical models

, 2016
We apply the Riccati-Pad\'{e} method and the Rayleigh-Ritz method with complex rotation to the study of the resonances of a one-dimensional well with two barriers.
Fernández, Francisco M., Garcia, Javier
core   +1 more source