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Palantir CEO Alex Karp is known for his outspokenness. But it's the simplest of questions that might be behind the company's ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

ABSTRACT: This work focuses on a Keller-Segel chemotaxis model, with an emphasis on its conservation laws. Through a new approach combined with the multiplier method, called the mixed method, we ...

Personal computers often struggle to handle the monumental tasks typically assigned to supercomputers. Complex simulations for crash testing or medical imaging usually demand massive processing power, ...

DIMON, a new AI framework, accelerates modeling by solving partial differential equations efficiently, reducing computation times from days to seconds. Tested in heart simulations, it promises ...

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Modeling how cars deform in a crash, how spacecraft respond to extreme environments, or how bridges resist stress could be made thousands of times faster thanks to new artificial intelligence that ...

Electromagnetic waves help to solve partial differential equations at the speed of light. Credit: R.G. MacDonald, A. Yakovlev, and V. Pacheco-Peña, doi 10.1117/1.APN.3.5.056007 In the domains of ...

In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation.