Results 31 to 40 of about 12,395 (174)
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 +17 more
core +2 more sources
Group theoretical analysis of a quantum-mechanical three-dimensional quartic anharmonic oscillator [PDF]
, 2015 This paper illustrates the application of group theory to a quantum-mechanical three-dimensional quartic anharmonic oscillator with $O_{h}$ symmetry.
Fernández, Francisco M.
core +3 more sources
Shock and Vibration, 2021 The uniform formulation of dynamic vibration analysis of multispan beams is presented by using an efficient domain decomposition method in this paper.
Cong Gao +5 more
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
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Toward Genuine Efficiency and Cluster Robustness of Preconditioned CG‐Like Eigensolvers
Numerical Linear Algebra with Applications, Volume 33, Issue 2, April 2026.ABSTRACT The locally optimal block preconditioned conjugate gradient (LOBPCG) method is a popular solver for large and sparse Hermitian eigenvalue problems. However, recently proposed alternatives for its single‐vector version LOPCG indicate certain problematic cases with less accurate preconditioners and clustered target eigenvalues.
Ming Zhou, Klaus Neymeyr
wiley +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
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Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer +2 more
wiley +1 more source
Free Vibration Analysis of Size-Dependent, Functionally Graded, Rectangular Nano/Micro-plates based on Modified Nonlinear Couple Stress Shear Deformation Plate Theories [PDF]
Mechanics of Advanced Composite Structures, 2017 In the present study, a vibration analysis of functionally graded rectangular nano-/microplates was considered based on modified nonlinear coupled stress exponential and trigonometric shear deformation plate theories.
Korosh Khorshidi, Abolfazl Fallah
doaj +1 more source
Advanced Intelligent Systems, Volume 8, Issue 3, March 2026.This paper presents a degeneracy‐aware light detection and ranging (LiDAR)‐inertial framework that enhances LiDAR simultaneous localization and mapping performance in challenging environments. The proposed system integrates a dual‐layer robust odometry frontend with a Scan‐Context‐based loop‐closure detection backend.
Haoming Yang +4 more
wiley +1 more source
Journal of Engineering, 2019 Buckling analysis of a laminated composite thin plate with different boundary conditions subjected to in-plane uniform load are studied depending on classical laminated plate theory; analytically using (Rayleigh-Ritz method).
Widad I. Majeed +1 more
doaj +1 more source