Suchergebnisse - numerical evolution of nonlinear eigenvalue and eigenvector problems

Computational Methods and Applications for Numerical Analysis

“… , structure and topology optimization, fractional equations, eigenvalue problems, inverse problems, etc. Numerical analysis is an increasingly …”
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Mathematical Analysis of Deterministic and Stochastic Problems in Complex Media Electromagnetics von Roach, G. F, Stratis, Ioannis G, Yannacopoulos, Athanassios N

“… Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature …”
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Perturbed soliton solutions for an integral modified KdV equation von Saravanan, M., Herman, Russell L.

“… Indeed we focus our attention on a nonlinear evolution equation derived by M. Saravanan and A. Arnaudon (2018 Phys. Lett. A 382 2638) that takes into account the inhomogeneity we are interested …”
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A local and hierarchical Koopman spectral analysis of fluid dynamics von Zhang, Wei, Wei, Mingjun

“… The continuous and analytic Koopman eigenfunctions and eigenvalues, derived from operator perturbation theory, are capable of dealing with a nonlinear transition process with mathematical rigorousness …”
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An eigenvalue problem for self-similar patterns in Hele-Shaw flows von Xiao, Wang, Feng, Lingyu, Yang, Fang, Liu, Kai, Zhao, Meng

“… Using a boundary integral formulation, we pose the question of self-similarity as a generalized nonlinear eigenvalue problem, involving two nonlinear integral operators …”
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Spatial-Dependent Hamiltonian Formulation of Cross-Mode Modulation von Yang, Haofan, Xiong, Zhongfei, Hu, Hanwen, Chen, Yuntian, Zhang, Xinliang, Xu, Jing

“… ) under pump-probe configuration is in general complicated because the evolution of the pump light depends on the local mode decomposition of itself …”
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Spectra of Acoustic-Gravity Waves in the Atmosphere with a Quasi-Isothermal Upper Layer von Kshevetskii, Sergey P., Kurdyaeva, Yuliya A., Gavrilov, Nikolai M.

“… In this paper, we show that this mathematical problem belongs to the class of wave problems having self-adjoint evolution operators, which ensures the correctness and existence of solutions …”
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Entropy Stable Finite Difference Schemes for Chew, Goldberger and Low Anisotropic Plasma Flow Equations von Singh, Chetan, Yadav, Anshu, Bhoriya, Deepak, Kumar, Harish, Balsara, Dinshaw S.

“… In this article, we consider the Chew, Goldberger and Low (CGL) plasma flow equations, which is a set of nonlinear, non-conservative hyperbolic PDEs modeling anisotropic plasma flows …”
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Joint Action and Competition between Centrifugal, Magnetorotational, and Magnetic Buoyancy Instabilities von Gradzki, M. J., Hughes, D. W., Mizerski, K. A.

“… The stability problem can be reduced to a second-order boundary value problem …”
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The Anisotropic Two-Point Correlation Functions of the Nonlinear Traceless Tidal Field in the Principal-Axis Frame von Lee, Jounghun, Hahn, Oliver, Porciani, Cristiano

“… -axis frame, which are measured using numerical data from an N-body simulation. We show that both the nonlinear density and traceless tidal fields are more strongly …”
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On the structure of solutions of a class of hyperbolic systems with several spatial variables in the far field von Nesterov, A. V.

“… An asymptotic expansion of the solution to the Cauchy problem for a class of hyperbolic weakly nonlinear systems with many spatial variables is constructed …”
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Two-dimensional ideal magnetohydrodynamic waves on a rotating sphere under a non-Malkus field: I. Continuous spectrum and its ray-theoretical interpretation von Nakashima, Ryosuke, Yoshida, Shigeo

“… Two-dimensional ideal incompressible magnetohydrodynamic (MHD) linear waves at the surface of a rotating sphere are studied as a model to imitate the outermost …”
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Mathematical analysis of an integral equation arising from population dynamics von Kay, D.A., Sagheer, M., Tang, Q.

“… This equation is first converted to a non-linear integral equation. The discretization and manipulation of the corresponding eigenvalue problem allows us to use the theory …”
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A dynamic \(p\)-Laplacian von Alvaro de Diego Unanue, Froyland, Gary, Junge, Oliver, Koltai, Péter

“… \(2\)-Laplacian to the standard \(p\)-Laplacian for \(p>1\). Spectral properties of the dynamic Laplacian are connected to the geometric problem of finding …”
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A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods von Devulder, Christophe, Marion, Martine

“… The nonlinear Galerkin methods are numerical schemes well adapted to the long-term integration of evolution partial differential equations …”
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Physics-informed spectral approximation of Koopman operators von Valva, Claire, Giannakis, Dimitrios

“… Koopman operators and transfer operators represent nonlinear dynamics in state space through its induced action on linear spaces of observables and measures, respectively …”
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Linear and nonlinear equations for beams and degenerate plates with multiple intermediate piers von Garrione, Maurizio, Gazzola, Filippo

“… The obtained eigenfunctions are used to tackle the study of the nonlinear evolution problem in presence of different nonlinearities, focusing on the appearance of linear …”
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Sparsity-promoting algorithms for the discovery of informative Koopman invariant subspaces von Pan, Shaowu, Arnold-Medabalimi, Nicholas, Duraisamy, Karthik

“… Well-known techniques such as the dynamic mode decomposition (DMD) and its linear variants provide approximations to the Koopman operator, and have been applied extensively in many fluid dynamic problems …”
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Koopman Representations in Control von Banks, Michael James

“… These functions are called observables, and their evolution is always linear, even if the underlying dynamical system is nonlinear …”
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Stability of synchronized dynamics and pattern formation in coupled systems: Review of some recent results von Chen, Yonghong, Rangarajan, Govindan, Ding, Mingzhou

“… These two problems are often treated separately in the literature. Here, we present a unified framework in which we show that the eigenvalues of the coupling matrix …”
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