Results 31 to 40 of about 81,251 (238)
Determination of Resonances by the Optimized Spectral Approach
, 2012 The Rayleigh-Ritz procedure for determining bound-states of the Schr\"{o}dinger equation relies on spectral representation of the solution as a linear combination of the basis functions.
Kościk, Przemysław +2 more
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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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Учёные записки Казанского университета: Серия Физико-математические науки, 2019 The paper considers the numerical solution process of the strength and stability problems of thin-walled shell structures taking into account the geometric nonlinearity, transverse shifts, and material orthotropy.
A.A. Semenov, S.S. Leonov
doaj +1 more source
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
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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 +3 more
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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
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Bound states for the quantum dipole moment in two dimensions [PDF]
, 2012 We calculate accurate eigenvalues and eigenfunctions of the Schr\"odinger equation for a two-dimensional quantum dipole. This model proved useful for the study of elastic effects of a single edge dislocation.
Amore, Paolo, Fernández, Francisco M
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A Hybrid Semi‐Inverse Variational and Machine Learning Approach for the Schrödinger Equation
Advanced Physics Research, EarlyView.A hybrid semi‐inverse variational and machine‐learning framework is presented for solving the Schrödinger equation with complex quantum potentials. Physics‐based variational solutions generate high‐quality training data, enabling Random Forest and Neural Network models to deliver near‐perfect energy predictions.
Khalid Reggab +5 more
wiley +1 more source
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
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JCPP Advances, EarlyView.Abstract Background Pregnancy complications have been associated with offspring autism spectrum disorders (ASD). There has also been increasing evidence for multigenerational risk factors of ASD. Methods In a multigenerational California birth cohort of 1,740,379 mother–child pairs, we investigated pregnancy complications when the grandmother was ...
Ting Chow +5 more
wiley +1 more source