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PDPTA
2000
13 years 6 months ago
A Parallel Boundary Value Technique for Singularly Perturbed Two-Point Boundary Value Problems
A class of singularly perturbed two-point boundary-value problems (BVPs) for second-order ordinary differential equations (DEs) is considered here. In order to obtain numerical sol...
Srinivasan Natesan, Jesús Vigo-Aguiar
AMC
2005
150views more  AMC 2005»
13 years 4 months ago
High order fitted operator numerical method for self-adjoint singular perturbation problems
We consider self-adjoint singularly perturbed two-point boundary value problems in conservation form. Highest possible order of uniform convergence for such problems achieved hith...
Kailash C. Patidar
SIAMSC
2010
153views more  SIAMSC 2010»
13 years 3 months ago
Asymptotic Imaging of Perfectly Conducting Cracks
In this paper, we consider cracks with Dirichlet boundary conditions. We first derive an asymptotic expansion of the boundary perturbations that are due to the presence of a smal...
Habib Ammari, Hyeonbae Kang, Hyundae Lee, Won-Kwan...
SIAMCO
2010
169views more  SIAMCO 2010»
12 years 11 months ago
Shape Derivative of Drag Functional
Abstract. In the paper compressible, stationary Navier-Stokes (N-S) equations are considered. The model is well-posed, there exist weak solutions in bounded domains, subject to inh...
Pavel I. Plotnikov, Jan Sokolowski