Results 111 to 120 of about 159,722 (293)
Randomized Sketching of Nonlinear Eigenvalue Problems
Rational approximation is a powerful tool to obtain accurate surrogates for nonlinear functions that are easy to evaluate and linearize. The interpolatory adaptive Antoulas--Anderson (AAA) method is one approach to construct such approximants numerically.
Stefan Güttel +2 more
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Note on a Nonlinear Eigenvalue Problem [PDF]
1. V. F. Cowling, Walter Leighton and W. J. Thron, Twin convergence regions for continued fractions, Bull. Amer. Math. Soc. 50 (1944), 351-357. 2. R. E. Lane, Absolute convergence of continued fractions, Proc. Amer. Math. Soc. 3 (1952), 904-913. 3. R. E. Lane and H. S. Wall, Continued fractions with absolutely convergent even and odd parts, Trans. Amer.
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ABSTRACT Iterative solvers are advantageous for handling nonlinear structural analysis problems. The iterative solvers often require updating the stiffness matrix, which limits their application in static and pseudo‐dynamic hybrid simulations because: (1) updating the stiffness matrix of a system involving a physical specimen is challenging; (2 ...
Junyan Xiao, Oh‐Sung Kwon, Evan Bentz
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Existence of Solutions of a Discrete Fourth-Order Boundary Value Problem
Let a,b be two integers with b-a≥5 and let 𝕋2={a+2,a+3,…,b-2}. We show the existence of solutions for nonlinear fourth-order discrete boundary value problem Δ4u(t-2)=f(t,u(t), Δ2u(t-1)), t∈𝕋2, u(a+1)=u(b-1)=Δ2u(a)=Δ2u(b-2)=0 under a ...
Ruyun Ma, Chenghua Gao, Yongkui Chang
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Finite element approximation of the first eigenvalue of a nonlinear problem for some special domain
In this paper we present a method for the numerical approximation of the smallest eigenvalue of a nonlinear eigenvalue problem using the finite element method.
Gabriella Bognár
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Second Eigenfunctions of Nonlinear Eigenvalue Problems
The author considers the eigenvalue problem (1) \(g'(u) = \lambda f' (u)\) where \(f\) and \(g\) are Fréchet differentiable functionals on a Hilbert space \(H\). A particular case of (1) is a linear equation \(Au = \lambda u\) where \(A\) is a weakly continuous selfadjoint linear operator on \(H\).
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This study analyzes energy consumption and economic growth across 39 Sub‐Saharan African countries using a PVAR model. Findings reveal that non‐renewable energy and labor force growth stimulate economic growth, while renewable energy does not stimulate economic growth in the short run.
Amadou Cham +4 more
wiley +1 more source
An adaptive fuzzy controller using an interval type‐3 fuzzy logic system replaces the SMC switching term to mitigate chattering while preserving global stability for islanded inverters. Simulations show lower THD, greater robustness to disturbances and parameter variations, and improved voltage‐tracking accuracy, with applicability to other uncertain ...
Man‐Wen Tian +7 more
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Interpretable tree‐based models integrate microseismic, geological, and mining indicators to predict short‐term rockburst risk. SHAP analysis reveals the dominant role of energy‐related features and clarifies nonlinear factor interactions, enabling transparent and reliable early‐warning in deep coal mines.
Shuai Chen +4 more
wiley +1 more source
Eigenvalue Problem for Nonlinear Fractional Differential Equations with Integral Boundary Conditions
By employing known Guo-Krasnoselskii fixed point theorem, we investigate the eigenvalue interval for the existence and nonexistence of at least one positive solution of nonlinear fractional differential equation with integral boundary conditions.
Guotao Wang, Sanyang Liu, Lihong Zhang
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