International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT The multiresolution finite wavelet domain method has been meticulously studied in numerous wave propagation simulations, showing excellent convergence properties and very fast computing times. The multiresolution procedure always starts with the coarse solution, and then finer solutions can be superimposed on the coarse solution until ...
Dimitris Dimitriou +2 more
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Toda and Laguerre-Freud equations for multiple discrete orthogonal polynomials with an arbitrary number of weights [PDF]
Itsaso Fernández‐Irisarri +1 more
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About several classes of bi-orthogonal polynomials and discrete integrable systems [PDF]
, 2014 Xiang-Ke Chang +3 more
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One‐Dimensional Finite Elements With Arbitrary Cross‐Sectional Displacement Fields
International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT This paper introduces an unprecedented unified approach for developing structural theories with an arbitrary kinematic variable over the beam cross‐section. Each of the three displacement variables can be analyzed using an independent expansion function. Both the order of the expansion and the number of terms in each field can be any. That is,
E. Carrera, D. Scano, E. Zappino
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Discrete Painlev\'e equations, Orthogonal Polynomials on the Unit Circle and N-recurrences for averages over U(N) -- \PIIIa and \PV $\tau$-functions [PDF]
, 2003 Peter J. Forrester, N. S. Witte
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 1, 15 January 2026.ABSTRACT Parametric model order reduction by matrix interpolation allows for efficient prediction of the behavior of dynamic systems without requiring knowledge about the underlying parametric dependency. Within this approach, reduced models are first sampled and then made consistent with each other by transforming the underlying reduced bases. Finally,
Sebastian Resch‐Schopper +2 more
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Asymptotic behavior of orthogonal polynomials corresponding to a measure with infinite discrete part off an arc [PDF]
, 2001 Rabah Khaldi, Rachid Benzine
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Spectral quantization of discrete random walks on half-line, and orthogonal polynomials on the unit circle [PDF]
, 2023 Adam Doliwa, Artur Siemaszko
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Infinitely many shape invariant discrete quantum mechanical systems and new exceptional orthogonal polynomials related to the Wilson and Askey–Wilson polynomials [PDF]
, 2009 Satoru Odake, Ryu Sasaki
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