Results 11 to 20 of about 77 (77)
Finite elements based on Jacobi shape functions for the analysis of beams, plates and shells
International Journal for Numerical Methods in Engineering, Volume 124, Issue 20, Page 4490-4519, 30 October 2023., 2023 Abstract This paper proposes the use of Jacobi polynomials to approximate higher‐order theories of beam, plate, and shell structures. The Carrera unified formulation is used in this context to express displacement kinematics in a hierarchical form. In this manner, classical to complex higher‐order theories can be implemented with ease.
Alfonso Pagani +3 more
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Solution methods to the nearest rotation matrix problem in ℝ3: A comparative survey
Numerical Linear Algebra with Applications, Volume 30, Issue 5, October 2023., 2023 Abstract Nowadays, the singular value decomposition (SVD) is the standard method of choice for solving the nearest rotation matrix problem. Nevertheless, many other methods are available in the literature for the 3D case. This article reviews the most representative ones, proposes alternative ones, and presents a comparative analysis to elucidate their
Soheil Sarabandi, Federico Thomas
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Advances in Mathematical Physics, Volume 2023, Issue 1, 2023., 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right‐hand function on the interval [−1, 1] is solved. The discontinuous solution on the domain [−1, 1] is approximated by a piecewise polynomial, and a collocation method is introduced to evaluate the unknown coefficients. This method, which can be applied to
M. R. Elahi +4 more
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Complexity, Volume 2023, Issue 1, 2023., 2023 The main aim of this study is the dynamic analysis of isotropic homogeneous beams using the method of initial functions (MIFs) and comparison with classical beam theories and FEM. Also, this research employs the state space methodology, with a special emphasis on isotropy, to analyse simply supported beam systems.
Jitendra Namdeo +3 more
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Equivariant toric geometry and Euler–Maclaurin formulae
Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell +3 more
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Loading Non‐Maxwellian Velocity Distributions in Particle Simulations
Journal of Geophysical Research: Space Physics, Volume 131, Issue 3, March 2026.Abstract Numerical procedures for generating non‐Maxwellian velocity distributions in particle simulations are presented. First, Monte Carlo methods for the (r,q) $(r,q)$ distribution that generalizes flattop and Kappa distributions are discussed. Then, two rejection methods for the regularized Kappa distribution are presented, followed by a comparison
Seiji Zenitani +2 more
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Universality for fluctuations of counting statistics of random normal matrices
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We consider the fluctuations of the number of eigenvalues of n×n$n\times n$ random normal matrices depending on a potential Q$Q$ in a given set A$A$. The eigenvalues of random normal matrices are known to form a determinantal point process, and are known to accumulate on a compact set called the droplet under mild conditions on Q$Q$. When A$A$
Jordi Marzo +2 more
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The Davenport–Heilbronn method: 80 years on
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Tim Browning
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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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