Results 31 to 40 of about 117,411,128 (106)
The Euler-MacLaurin summation formula, the sampling theorem, and approximate integration over the real axis [PDF]
, 1983 The Euler-MacLaurin summation formula is used to deduce the Whittaker-Shannon sampling theorem for not necessarily band-limited functions, as well as to study numerical integration over the real axis. Concerning the latter, error estimates are determined
Stens, R.L., Butzer, P.L.
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One‐level densities in families of Grössencharakters associated to CM elliptic curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We study the low‐lying zeros of a family of L$L$‐functions attached to the complex multiplication elliptic curve Ed:y2=x3−dx$E_d \;:\; y^2 = x^3 - dx$, for each odd and square‐free integer d$d$. Specifically, upon writing the L$L$‐function of Ed$E_d$ as L(s−12,ξd)$L(s-\frac{1}{2}, \xi _d)$ for the appropriate Grössencharakter ξd$\xi _d$ of ...
Chantal David, Lucile Devin, Ezra Waxman
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A Family of Higher‐Order Theories for Wave Propagation in One‐Dimensional Structural Elements
International Journal for Numerical Methods in Engineering, Volume 126, Issue 19, 15 October 2025.ABSTRACT This paper proposes a systematic framework for the development and classification of higher‐order theories for modeling wave propagation in one‐dimensional structural elements. Building upon and organizing the existing higher‐order models, a generalized approach is introduced to construct an entire family of such theories with controllable ...
Wiktor Waszkowiak +3 more
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Low Mach Asymptotic Preserving Scheme for the Euler-Korteweg Model [PDF]
, 2013 We present an all speed scheme for the Euler-Korteweg model. We study a semi-implicit time-discretisation which treats the terms, which are stiff for low Mach numbers, implicitly and thereby avoids a dependence of the timestep restriction on the Mach ...
Giesselmann, Jan
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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
wiley +1 more source
A circular interpretation of the Euler–Maclaurin formula [PDF]
, 2006 The present work makes the case for viewing the Euler–Maclaurin formula as an expression for the effect of a jump on the accuracy of Riemann sums on circles and draws some consequences thereof, e.g., when the integrand has several jumps.
Berrut, Jean-Paul
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Generalized Euler-Maclaurin formula and Signatures [PDF]
The Euler-Maclaurin formula which relates a discrete sum with an integral, is generalised to the setting of Riemann-Stieltjes sums and integrals on stochastic processes whose paths are a.s. rectifiable, that is continuous and bounded variation.
Friz, Peter K. +2 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
wiley +1 more source
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
wiley +1 more source