Results 31 to 40 of about 36,154 (311)
Supersolutions to nonautonomous Choquard equations in general domains
We consider the nonlocal quasilinear elliptic problem: −Δmu(x)=H(x)((Iα*(Qf(u)))(x))βg(u(x))inΩ,-{\Delta }_{m}u\left(x)=H\left(x){(\left({I}_{\alpha }* \left(Qf\left(u)))\left(x))}^{\beta }g\left(u\left(x))\hspace{1.0em}\hspace{0.1em}\text{in}\hspace{0 ...
Aghajani Asadollah, Kinnunen Juha
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Existence of solutions for 4p-order PDES with Neumann boundary conditions
In this work, we study the existence of at least one non decreasing sequence of nonnegative eigenvalues for the problem: {Δ2pu=λm(x)u in Ω,∂u∂v=∂(Δu)∂v=…=∂(Δ2p-1u)∂v=0 on ∂Ω.\left\{ {\matrix{ {{\Delta ^{2p}}u = \lambda m\left( x \right)u ...
Moradi N. +3 more
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Nonlinear nonhomogeneous Neumann eigenvalue problems
We consider a nonlinear parametric Neumann problem driven by a nonhomogeneous differential operator with a reaction which is $(p-1)$-superlinear near $\pm\infty$ and exhibits concave terms near zero.
Pasquale Candito +2 more
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Numerical Computation of Spectral Solutions for Sturm-Liouville Eigenvalue Problems
This paper focuses on the study of Sturm-Liouville eigenvalue problems. In the classical Chebyshev collocation method, the Sturm-Liouville problem is discretized to a generalized eigenvalue problem where the functions represent interpolants in suitably ...
Sameh Gana
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A multilevel Newton's method for eigenvalue problems [PDF]
summary:We propose a new type of multilevel method for solving eigenvalue problems based on Newton's method. With the proposed iteration method, solving an eigenvalue problem on the finest finite element space is replaced by solving a small scale ...
Li, Yu +4 more
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The nonlinear eigenvalue problem [PDF]
Nonlinear eigenvalue problems arise in a variety of science and engineering applications, and in the past ten years there have been numerous breakthroughs in the development of numerical methods. This article surveys nonlinear eigenvalue problems associated with matrix-valued functions which depend nonlinearly on a single scalar parameter, with a ...
Stefan Güttel, Françoise Tisseur
openaire +2 more sources
Successive eigenvalue relaxation: a new method for the generalized eigenvalue problem and convergence estimates [PDF]
We present a new subspace iteration method for the efficient computation of several smallest eigenvalues of the generalized eigenvalue problem Au = lambda Bu for symmetric positive definite operators A and B.
Xanthis, L., Ovtchinnikov, E.
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Numerical Analysis of a New Mixed Formulation for Eigenvalue Convection-Diffusion Problems [PDF]
A mixed formulation is proposed and analyzed mathematically for coupled convection-diffusion in heterogeneous medias. Transfer in solid parts driven by pure diffusion is coupled with convection-diffusion transfer in fluid parts. This study is carried out for
Plouraboué, Franck, Pierre, Charles
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Stochastic gradient descent for optimization for nuclear systems
The use of gradient descent methods for optimizing k-eigenvalue nuclear systems has been shown to be useful in the past, but the use of k-eigenvalue gradients have proved computationally challenging due to their stochastic nature.
Austin Williams +5 more
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Iterative solution of eigenvalue problems for normal operators [PDF]
summary:We will discuss Kellogg's iterations in eigenvalue problems for normal operators.
Kojecký, Tomáš
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