BookDOI
Numerische Mathematik 1
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The article was published on 1989-01-01. It has received 2186 citations till now.read more
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Journal ArticleDOI
Finite-part integral and boundary element method to solve embedded planar crack problems
T. Y. Qin,Rongbiao Tang +1 more
TL;DR: Using the Somigliana formula and concepts of the finite-part integral, a set of hypersingular integral equations to solve the arbitrary flat crack in three-dimensional elasticity is derived, then its numerical method is proposed by combining the finite part integral method with the boundary element method as discussed by the authors.
Journal ArticleDOI
Einstein equation from covariant loop quantum gravity in semiclassical continuum limit
TL;DR: In this paper, a new limit which couples both the semiclassical limit and the continuum limit of spinfoam amplitudes is proposed, and the solution of the Einstein equation emerges in this limit.
Journal ArticleDOI
Simulation of optimal arctic routes using a numerical sea ice model based on an ice-coupled ocean circulation method
TL;DR: A transit model based on simulated sea ice and environmental data numerically modeled in the Arctic is developed in this article, where an interactive simulation system that determines the optimal Arctic route using the transit model is developed.
Proceedings ArticleDOI
Cellular automaton for ultra-fast watershed transform on GPU
Claude Kauffmann,Nicolas Piché +1 more
TL;DR: This paper describes a cellular automaton used to perform the watershed transform in N-D images based on image integration via the Ford-Bellman shortest paths algorithm and shows that they are designed to run on massively parallel processors and therefore, be efficiently implemented on low cost consumer graphical processing units (GPUs).
Journal ArticleDOI
A Derivative-Free Conjugate Gradient Method and Its Global Convergence for Solving Symmetric Nonlinear Equations
TL;DR: Numerical results on some benchmark test problems show that the proposed conjugate gradient method is practically effective and gives it advantage to solve relatively large-scale problems with lower storage requirement compared to some existing methods.