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Culture develops from a civilization and progresses through the generations in tangible and intangible forms affecting various aspects of living. It gradually becomes a rulebook that guides the way of...
We present a novel mesh-free scheme for solving partial differential equations. We first derive a conservative and stable formulation of mesh-free first derivatives. We then show tha...
Despite the continuous improvement of technology, generation of high-quality meshes around complicated geometry remains a time consuming and even laborious task. In this paper, we propose a semi-meshl...
In this paper, we propose monotonicity preserving and total variation diminishing (TVD) mul tigrid methods for solving scalar conservation laws. We generalize the upwind-biased residual restriction an...
Previous theoretical (McCartin 1989a) and computational (McCartin 1989b) results on exponential splines are herein applied to provide approximate solutions of high order accuracy to nonlinear hyperbol...
The Getty Conservation Institute is a program of The Getty Trust, a private foundation based in Los Angeles, California, USA. As part of its mission, the GCI undertakes conservation projects in partn...
Free surface tracking methods used in the numerical simulation of unsteady free surface flows may introduce sources or sinks resulting in changes in total fluid volume in the computational domain. A c...

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