Penn Engineers have developed a new way to use AI to solve inverse partial differential equations (PDEs), a particularly ...

Physics can feel intimidating, but mastering problem-solving is about mindset, strategy, and practice—not innate genius. Research-backed approaches like Polya’s method, inquiry-based learning, and the ...

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Ching-Yao Lai, an assistant professor of geophysics at Stanford University, works to advance scientific understanding of ice ...

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ABSTRACT: This study presents a complete algebraic formulation of the quantum harmonic oscillator, demonstrating that the Hermite polynomials, H n ( x ) , emerge as the fundamental solution when the ...

The Frontier applications in underground engineering, ranging from deep resource extraction to large-scale infrastructure construction, present increasingly complex challenges that demand innovative ...

IN the six lectures before us, Prof. Prasad gives an interesting account of the part played by partial differential equations in dealing with vibratory phenomena, conduction of heat, gravitational ...

A team of researchers from Poland have developed new mathematical methods that could help enable better control of quantum entanglement and teleportation experiments Artistic representation of quantum ...

A new AI framework called THOR is transforming how scientists calculate the behavior of atoms inside materials. Instead of relying on slow simulations that take weeks of supercomputer time, the system ...

The original version of this story appeared in Quanta Magazine. At the turn of the 20th century, the renowned mathematician David Hilbert had a grand ambition to bring a more rigorous, mathematical ...

Mathematical physics methods, as a technique category, comprise the rigorous analytical and structural tools used to formulate, analyze, and solve physical theories in a mathematically precise ...