Hydraulic fracturing is one of the most important technologies for shale gas production. Complex hydraulic fracture networks can be stimulated in shale reservoirs due to the existence of numerous ...

Oak Ridge National Laboratory has announced that Georgia Tech and NYU researchers used a new computational technique, called ...

This course introduces high-performance computing (“HPC”) systems, software, and methods used to solve large-scale problems in science and engineering. It will focus on the intersection of two ...

This is a preview. Log in through your library . Abstract This is the first in a series of papers in which we discuss a numerical method to solve a certain class of steady state free boundary problems ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

General aspects of polynomial interpolation theory. Formulations in different basis, e.g. Lagrange, Newton etc. and their approximation and computational properties ...

Accurate prediction of radiative heating during rocket descent poses a fundamental challenge for reusable launch vehicle design. Traditional methods struggle to balance computational cost with ...

Analysis and implementation of numerical methods for random processes: random number generators, Monte Carlo methods, Markov chains, stochastic differential equations, and applications. Recommended ...

Advanced space travel relies on a fundamental understanding of the restricted three-body problem (RTBP), in which one of the three bodies—typically a spacecraft—is so small that its gravity doesn't ...

The scientists used 2021's Hurricane Nicholas, a Category 1 storm that hit the Houston area, to test the accuracy of their ...