Results 31 to 40 of about 345,546 (151)
Boundary Value Problems, 2020 In this paper, we present a theorem for some impulsive boundary problems with derivative dependence by the upper and lower solutions method. Using the theorem obtained, we consider the existence of positive solutions of some class of singular impulsive ...
Fengfei Jin, Baoqiang Yan
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, 2017 We present a numerical approximation method for linear diffusion-reaction problems with possibly discontinuous Dirichlet boundary conditions. The solution of such problems can be represented as a linear combination of explicitly known singular functions ...
Baumann, Ramona, Wihler, Thomas P.
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A multi-domain hybrid method for head-on collision of black holes in particle limit
, 2011 A hybrid method is developed based on the spectral and finite-difference methods for solving the inhomogeneous Zerilli equation in time-domain. The developed hybrid method decomposes the domain into the spectral and finite-difference domains.
DEBANANDA CHAKRABORTY +3 more
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New spectral element method for the singular perturbation problem of second order
上海师范大学学报. 自然科学版As the solution of singular perturbation problem of second order has a boundary layer, it is difficult to obtain ideal approximation results for traditional numerical methods.
LIU Zhipeng, TAO Dongya
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Boundary contributions to specific heat and susceptibility in the spin-1/2 XXZ chain
, 2004 Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < \Delta \le 1 is analytically obtained using the Abelian bosonization method ...
A. Furusaki +25 more
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Robust and efficient solution of the drum problem via Nystrom approximation of the Fredholm determinant [PDF]
, 2014 The drum problem-finding the eigenvalues and eigenfunctions of the Laplacian with Dirichlet boundary condition-has many applications, yet remains challenging for general domains when high accuracy or high frequency is needed.
Barnett, Alex, Zhao, Lin
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A Study of Singular Similarity Solutions to Laplace’s Equation with Dirichlet Boundary Conditions
AppliedMathThe infinite series solution to the boundary-value problems of Laplace’s equation with discontinuous Dirichlet boundary conditions was found by using the basic method of separation of variables.
Chao-Kang Feng, Jyh-Haw Tang
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A Galerkin method of O(h2) for singular boundary value problems
International Journal of Mathematics and Mathematical Sciences, 2002 We describe a Galerkin method with special basis functions for a class of singular two-point boundary value problems. The convergence is shown which is of O(h2) for a certain subclass of the problems.
G. K. Beg, M. A. El-Gebeily
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Singular solutions of fully nonlinear elliptic equations and applications
, 2011 We study the properties of solutions of fully nonlinear, positively homogeneous elliptic equations near boundary points of Lipschitz domains at which the solution may be singular. We show that these equations have two positive solutions in each cone of $\
A. Ancona +34 more
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Multi-Scale-Matching neural networks for thin plate bending problem
Theoretical and Applied Mechanics LettersPhysics-informed neural networks are a useful machine learning method for solving differential equations, but encounter challenges in effectively learning thin boundary layers within singular perturbation problems.
Lei Zhang, Guowei He
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