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作者:Sebastian Bielski
来源:[J].Applied Numerical Mathematics(IF 1.152), 2012, Vol.62 (11), pp.1605-1619
摘要:Abstract(#br)Two domain decomposition methods for computing eigenvalues and eigenfunctions of the Laplace operator on a bounded domain are presented. The methods are formulated in terms of the Dirichlet-to-Neumann (DtN) and Neumann-to-Dirichlet (NtD) surface integral operato...
作者:Matthew J. Colbrook , Athanasisos S. Fokas
来源:[J].Applied Numerical Mathematics(IF 1.152), 2018, Vol.126, pp.1-17
摘要:... Here, using these methods for the Helmholtz and modified Helmholtz equations and following the earlier results of [15], we determine eigenvalues of the Laplacian in a convex polygon. Eigenvalues are characterised by the points where the generalised Dirichlet to Neumann map be...
作者:Christian Daveau , Abdessatar Khelifi , Imen Balloumi
来源:[J].Mathematical Physics, Analysis and Geometry(IF 0.486), 2017, Vol.20 (2)
摘要:... The aim of this paper is to advance the development of high-order terms in the asymptotic expansions of the perturbations in the eigenvalues for the Stokes system caused by small perturbations of the boundary or due to interface changes of an inclusion. Our derivation is rigo...
作者:A.A. Gusev , O. Chuluunbaatar , S.I. Vinitsky ...
来源:[J].Computer Physics Communications(IF 3.078), 2014, Vol.185 (10), pp.2636-2654
摘要:Abstract(#br)A FORTRAN 77 program is presented for calculating with the given accuracy eigenvalues, surface eigenfunctions and their first derivatives with respect to a parameter of the parametric self-adjoined 2D elliptic partial differential equation with the Dirichlet and/o...
作者:Vladimir Bobkov , Pavel Drábek
来源:[J].Journal of Differential Equations(IF 1.48), 2017
摘要:Abstract(#br)We discuss several properties of eigenvalues and eigenfunctions of the p -Laplacian on a ball subject to zero Dirichlet boundary conditions. Among main results, in two dimensions, we show the existence of nonradial eigenfunctions which correspond to the radial eigenvalues...
作者:Jie Chen , Sze-Man Ngai
来源:[J].Journal of Mathematical Analysis and Applications(IF 1.05), 2009, Vol.364 (1), pp.222-241
摘要:..., we obtain a method to discretize the equation defining the eigenvalues and eigenfunctions of the corresponding fractal Laplacian. This allows us to obtain numerical solutions by using the finite element method. We also prove that the numerical eigenvalues and eigenfunctions ...
作者:Alexey V. Filinovskiy
来源:[J].Mathematical Modelling and Analysis(IF 0.59), 2017, Vol.22 (1), pp.37-51
摘要:... We obtain two terms of the asymptotic expansion of simple eigenvalues of this problem for α → + ∞ . We also prove an estimate to the difference between Robin and Dirichlet eigenfunctions.
作者:N. V. Yudina , N. R. Sadykov
来源:[J].Russian Journal of Inorganic Chemistry(IF 0.417), 2019, Vol.64 (1), pp.98-107
摘要:Abstract(#br)The eigenvalues and eigenfunctions for clusters with planar, cylindrical, and spherical geometry with arbitrary potential energy profiles were calculated by means of an implemented algorithm. The results of numerical and analytical solutions for clusters of various g...
作者:Kadriye Aydemir , Oktay Sh. Mukhtarov
来源:[J].Electronic Journal of Differential Equations(IF 0.426), 2016, Vol.2016 (131,), pp.1-14
摘要:... By modifying some techniques ofclassical Sturm-Liouville theory and suggesting own approacheswe find asymptotic formulas for the eigenvalues and eigenfunctions.
作者:Rodney Josué Biezuner , Grey Ercole , Breno Loureiro Giacchini ...
来源:[J].Applied Mathematics and Computation(IF 1.349), 2012, Vol.219 (1), pp.360-375
摘要:Abstract(#br)In this paper we present an iterative method, inspired by the inverse iteration with shift technique of finite linear algebra, designed to find the eigenvalues and eigenfunctions of the Laplacian with homogeneous Dirichlet boundary condition for arbitrary bounded...

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