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The Faber–Krahn inequality for the Hermite operator with Robin boundary conditions

Mathematische Annalen, 2021
In this paper we prove a Faber–Krahn type inequality for the first eigenvalue of the Hermite operator with Robin boundary conditions. We prove that the optimal set is a half-space and we also address the case of equality.
F. Chiacchio, Nunzia Gavitone
semanticscholar   +1 more source

Walkin’ Robin: Walk on Stars with Robin Boundary Conditions

ACM Transactions on Graphics
Numerous scientific and engineering applications require solutions to boundary value problems (BVPs) involving elliptic partial differential equations, such as the Laplace or Poisson equations, on geometrically intricate domains. We develop a Monte Carlo
Bailey Miller   +3 more
semanticscholar   +1 more source

Boundary shape functions methods for solving the nonlinear singularly perturbed problems with Robin boundary conditions

, 2020
For a second-order nonlinear singularly perturbed boundary value problem (SPBVP), we develop two novel algorithms to find the solution, which automatically satisfies the Robin boundary conditions.
Chein-Shan Liu, Jiang-Ren Chang
semanticscholar   +1 more source

An efficient numerical method based on exponential B‐spline basis functions for solving a class of nonlinear singular boundary value problems with Neumann and Robin boundary conditions

Mathematical methods in the applied sciences, 2020
In this paper, we develop a numerical scheme to approximate the solution of a general class of nonlinear singular boundary value problems (SBVPs) subject to Neumann and Robin boundary conditions.
P. Roul, Trishna Kumari, V. Prasad Goura
semanticscholar   +1 more source

Fast and spectrally accurate numerical methods for perforated screens (with applications to Robin boundary conditions)

, 2020
This paper considers the use of compliant or Robin boundary conditions to provide a homogenised model of a finite array of collinear plates, modelling a perforated screen or grating.
Matthew J. Colbrook, Matthew J. Priddin
semanticscholar   +1 more source

Analysis of Fractional Integro–Differential Equation with Robin Boundary Conditions Using Topological Degree Method

International Journal of Applied and Computational Mathematics, 2022
K. Kaliraj   +3 more
semanticscholar   +1 more source

Wavelet-based approximation for two-parameter singularly perturbed problems with Robin boundary conditions

Journal of Applied Mathematics and Computation, 2021
Devendra Kumar, Komal Deswal
semanticscholar   +1 more source

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