Working at the interface between numerics and applied analysis, Caltech mathematician Thomas Hou has solved challenging problems concerning fluid dynamics and other multiscale systems. His research ...
Mathematics has always been central to my academic growth, shaping my understanding of complex phenomena. My two elder brothers, Mr. Femi and Mr. Wemimo, played a key role in nurturing my mathematical ...
Abstract: Parametric PDE techniques, which use partial differential equations (PDEs) defined over a 2D or 3D parametric domain to model graphical objects and processes, can unify geometric attributes ...
There has been a growing interest in efficient numerical algorithms based on tensor networks and low-rank techniques to approximate high-dimensional functions and compute the numerical solution of ...
Abstract: Meshfree and particle methods are widely used in computational studies of partial differential equations, offering many advantages compared to traditional mesh- or grid-based numerical ...
Generic transport equations, comprising time-dependent partial differential equations (PDEs), delineate the evolution of extensive properties in physical systems, encompassing mass, momentum, and ...
Article Views are the COUNTER-compliant sum of full text article downloads since November 2008 (both PDF and HTML) across all institutions and individuals. These metrics are regularly updated to ...
ABSTRACT: In this paper, we investigate a 1D pressureless Euler-alignment system with a non-local alignment term, describing a kind of self-organizing problem for flocking. As a result, by the ...
This issue has been moved from a ticket on Developer Community. There are many collection type objects in .NET that do not have a Slice method, and consequently cannot use the [...] range syntax to ...
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