When it comes to how fluids (the movement of water or air) move, it really just boils down to this. Pythagorean L2 Norm (Conservation of Momentum): When measuring the power (kinetic energy) of 'which ...

In this work, a finite volume formulation developed for two-dimensional models is extended to deal with axisymmetric models of heat conduction applications. This formulation uses a vertex centered ...

Predicting how complex stochastic systems respond to small external perturbations is central in physics, climate science, and engineering. We combine the generalized fluctuation–dissipation theorem ...

This course focuses on three-dimensional geometry processing, while simultaneously providing a first course in traditional differential geometry. Our main goal is to show how fundamental geometric ...

Materials Metrology Division, Instituto Nacional de Metrologia Qualidade e Tecnologia (INMETRO), 25250-020 Duque de Caxias, Rio de Janeiro, Brazil Article Views are the COUNTER-compliant sum of full ...

The concept of FDT is rooted in analysis of response relations appearing in systems subject to stimuli and driven away from equilibrium. In a linear response regime, close to equilibrium, use of ...

Two new approaches allow deep neural networks to solve entire families of partial differential equations, making it easier to model complicated systems and to do so orders of magnitude faster. In high ...

In December 2003, to commemorate the 100th anniversary of the first flight of the Wright brothers, the New York Times ran a story entitled “Staying Aloft; What Does Keep Them Up There?” The point of ...

Largely unknown today, Bourbaki is likely the last mathematician to master nearly all aspects of the field. A consummate collaborator, he made fundamental contributions to important mathematical ...

This course focuses on three-dimensional geometry processing, while simultaneously providing a first course in traditional differential geometry. Our main goal is to show how fundamental geometric ...