Results 61 to 70 of about 183 (122)
Lumped mass acoustic and membrane eigenanalysis using the global collocation method
Cogent Engineering, 2014 The paper proposes a direct way to build lumped masses for performing eigenvalue analysis using the global collocation method in conjunction with tensor product Lagrange polynomials.
Christopher Provatidis
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A Matrix‐Free, Scalable, and Robust Implicit Material Point Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe +5 more
wiley +1 more source
Bivariate Lagrange interpolation at the Chebyshev nodes
Proceedings of the American Mathematical Society, 2010 We discuss Lagrange interpolation on two sets of nodes in two dimensions where the coordinates of the nodes are Chebyshev points having either the same or opposite parity. We use a formula of Xu for Lagrange polynomials to obtain a general interpolation theorem for bivariate polynomials at either set of Chebyshev nodes.
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On Generalized Hermite–Fejér Interpolation of Lagrange Type on the Chebyshev Nodes
Journal of Approximation Theory, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Byrne, Graeme J. +2 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
wiley +1 more source
Electric‐Current‐Induced Phase Transformation in Cu6Sn5 Below Its Equilibrium Transition Temperature
Advanced Science, Volume 13, Issue 41, 22 July 2026.Electric current induces a monoclinic‐to‐hexagonal phase transformation in Cu6Sn5 at a measured bulk temperature of ∼120°C, below the equilibrium transition temperature. Ex situ synchrotron x‐ray diffraction, TEM, and matched thermal controls show that current stressing promotes the formation of a retained hexagonal η‐phase post‐stress state not ...
Shih‐kang Lin +3 more
wiley +1 more source
Massive coalescence of nodes in optimal Chebyshev-type quadrature on [−1,1]
Indagationes Mathematicae, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Korevaar, J., Meyers, J.L.H.
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Journal of Numerical Analysis and Approximation Theory, 2010 The aim of this note is that by using the so-called max-product method, to associate to the Hermite-Fejer polynomials based on the Chebyshev knots of first kind, a new interpolation operator for which a Jackson-type approximation order in terms of ...
Lucian Coroianu, Sorin G. Gal
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Advanced Intelligent Systems, Volume 8, Issue 7, July 2026.Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
wiley +1 more source
A treecode based on barycentric Hermite interpolation for electrostatic particle interactions
Computational and Mathematical Biophysics, 2019 A particle-cluster treecode based on barycentric Hermite interpolation is presented for fast summation of electrostatic particle interactions in 3D. The interpolation nodes are Chebyshev points of the 2nd kind in each cluster.
Krasny Robert, Wang Lei
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