Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...
The complex-step method is a clever way of obtaining a numerical approximation to the first derivative of a function, avoiding the round-off error that plagues ...
Criteria for the ranking of endangered species are discussed. Distribution patterns, changes in distribution, and susceptibility of habitat to adverse environmental conditions are indicators of ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
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New model predicts shock waves with pinpoint accuracy
Recent breakthroughs in computational modeling are transforming our ability to predict shock wave behavior with unprecedented precision. As reported on October 17, 2025, these advancements aim to ...
Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...
YBa2Cu3O7-δ high-temperature superconductors (HTS) exhibit remarkable passive levitation over permanent magnet guideways (PMG ...
We're often told it is "unscientific" or "meaningless" to ask what happened before the Big Bang. But a new paper by FQxI cosmologist Eugene Lim, of King's College London, UK, and astrophysicists Katy ...
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