Results 21 to 30 of about 77 (77)
A Level Set Topology Optimization Theory Based on Hamilton's Principle
International Journal for Numerical Methods in Engineering, Volume 126, Issue 17, 15 September 2025.ABSTRACT In this article, we propose a unified variational framework for deriving the evolution equation of the level set function in topology optimization, departing from conventional Hamilton–Jacobi‐based formulations. The key idea is the introduction of an auxiliary domain, geometrically identical to the physical design domain, occupied by ...
Jan Oellerich, Takayuki Yamada
wiley +1 more source
Learning Physically Interpretable Atmospheric Models From Data With WSINDy
Journal of Geophysical Research: Machine Learning and Computation, Volume 2, Issue 3, September 2025.Abstract The multiscale and turbulent nature of Earth's atmosphere has historically rendered accurate weather modeling a hard problem. Recently, there has been an explosion of interest surrounding data‐driven approaches to weather modeling, which in many cases show improved forecasting accuracy and computational efficiency when compared to traditional ...
Seth Minor +3 more
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Free energy of spherical Coulomb gases with point charges
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We consider two‐dimensional Coulomb gases on the Riemann sphere with determinantal or Pfaffian structures, under external potentials that are invariant under rotations around the axis connecting the north and south poles, and with microscopic point charges inserted at the poles.
Sung‐Soo Byun +3 more
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A Stratonovich integral for anticipating processes
Mathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7695-7705, 15 May 2025.A stochastic integral for anticipating integrands was introduced by Ayed and Kuo in 2008. Riemann–Stieltjes sums were considered, where the adapted part of the integrand was evaluated at the left endpoints of the subintervals, while the instantly independent part was evaluated at the right endpoints.
Marc Jornet
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Computational and Mathematical Methods, Volume 2025, Issue 1, 2025.This study presents analytical and numerical‐analytical decomposition methods for determining complex one‐parameter generalized inverse Moore–Penrose matrices. The analytical approach is based on the third Moore–Penrose condition, offering three solution options.
Sargis Simonyan +3 more
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International Journal of Differential Equations, Volume 2025, Issue 1, 2025.In order to solve fractional differential equations on quantum domains, this work provides a spectral approach based on higher‐order (q, τ)‐Bernoulli functions and polynomials. We build a robust basis for approximation in (q, τ)‐weighted Hilbert spaces by using the orthogonality properties of these extended polynomials and the Sheffer‐type generating ...
Shaher Momani +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This study presents a detailed investigation into the analytical properties of the generalized Gamma function introduced by Dilcher. We establish a fundamental recurrence relation and derive novel reflection formula for this generalized function, extending the classical identities known for the Euler Gamma function.
Gregory Abe-I-Kpeng +3 more
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Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Proceedings of the London Mathematical Society, Volume 129, Issue 6, December 2024.Abstract For a random partition, one of the most basic questions is: what can one expect about the parts that arise? For example, what is the distribution of the parts of random partitions modulo N$N$? As most partitions contain a 1, and indeed many 1s arise as parts of a random partition, it is natural to expect a skew toward 1(modN)$1\ (\mathrm{mod} \
Kathrin Bringmann +3 more
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Summing Sneddon–Bessel series explicitly
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6590-6606, 15 May 2024.We sum in a closed form the Sneddon–Bessel series ∑m=1∞Jα(xjm,ν)Jβ(yjm,ν)jm,ν2n+α+β−2ν+2Jν+1(jm,ν)2,$$ \sum \limits_{m=1}^{\infty}\frac{J_{\alpha}\left(x{j}_{m,\nu}\right){J}_{\beta}\left(y{j}_{m,\nu}\right)}{j_{m,\nu}^{2n+\alpha +\beta -2\nu +2}{J}_{\nu +1}{\left({j}_ ...
Antonio J. Durán +2 more
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TAO-DFT investigation of electronic properties of linear and cyclic carbon chains. [PDF]
Sci Rep, 2020 Seenithurai S, Chai JD.
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