Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver
Communications on Pure and Applied Mathematics, EarlyView.Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley +1 more source
Instantaneous Normal Modes of Yukawa Liquids
Contributions to Plasma Physics, EarlyView.ABSTRACT The instantaneous normal mode (INM) approach, which extends the normal mode description of collective excitations in solids to liquids, is applied to strongly coupled, three‐dimensional Yukawa liquids. Based on data from Langevin dynamics simulations, we compute the instantaneous normal modes across a wide range of coupling and screening ...
Tillman Keller, Hanno Kählert
wiley +1 more source
Partial eigenvalue assignment problem of linear control systems using orthogonality relations [PDF]
Acta Montanistica Slovaca, 2006 The partial eigenvalue assignment is the problem of reassigning a part of the open-loop spectrum of a linear system by a feedback control, leaving the rest of the spectrum invariant.
Mohamed A. Ramadan, Ehab A. El - Sayed
doaj
Extremal Eigenvalues and Eigenvectors of Deformed Wigner Matrices [PDF]
, 2014 We consider random matrices of the form $H = W + \lambda V$, $\lambda\in\mathbb{R}^+$, where $W$ is a real symmetric or complex Hermitian Wigner matrix of size $N$ and $V$ is a real bounded diagonal random matrix of size $N$ with i.i.d.\ entries that are
Lee, Ji Oon, Schnelli, Kevin
core
Supercritical Pitchfork Bifurcation of a Fractional‐Order Doubly‐Fed Induction Generator
Energy Science &Engineering, EarlyView.ABSTRACT To address the problem of the chaos phenomenon caused by the parameter drift of a doubly‐fed induction generator (DFIG) due to a changing operating environment, a fractional‐order stator voltage/flux‐oriented control model is developed, and bifurcation theory and numerical simulations reveal that the chaos mechanism originates from ...
Wei Chen +4 more
wiley +1 more source
Complex modal analysis of structural vibration and acoustic radiation of plates
Journal of Low Frequency Noise, Vibration and Active ControlInhomogeneous damping distribution leads to the occurrence of complex modes of structures. Complex modes' vibration and acoustic radiation characteristics are different from real modes.
Lai Wei, Sheng Li
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On the coding of Jacobi's method of computing eigenvalues and eigenvectors of real, symmetric matrices [PDF]
, 1959 F. J. Corbató
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On the Behavior of Two C1 Finite Elements Versus Anisotropic Diffusion
International Journal for Numerical Methods in Fluids, EarlyView.Bi‐cubic Hemite‐Bézier and reduced cubic Hsieh‐Clough‐Tocher finite elements, of class C1, are compared for the solution of a highly anisotropic diffusion equation. They are tested numerically for various ratios of the diffusion coefficients on different meshes, even aligned with the anisotropy.
Blaise Faugeras +3 more
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Algorithm 297: Eigenvalues and Eigenvectors of the symmetric system [PDF]
, 1967 John C. Boothroyd
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Incremental Model Order Reduction of Smoothed‐Particle Hydrodynamic Simulations
International Journal for Numerical Methods in Fluids, EarlyView.The paper presents the development of an incremental singular value decomposition strategy for compressing time‐dependent particle simulation results, addressing gaps in the data matrices caused by temporally inactive particles. The approach reduces memory requirements by about 90%, increases the computational effort by about 10%, and preserves the ...
Eduardo Di Costanzo +3 more
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