Results 51 to 60 of about 782 (150)
Skew-orthogonal polynomials and random matrix theory [PDF]
, 2009 Orthogonal polynomials satisfy a three-term recursion relation irrespective of the weight function with respect to which they are defined. This gives a simple formula for the kernel function, known in the literature as the Christoffel-Darboux sum.
Saugata Ghosh, Ghosh, Saugata
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Matrix equation solving of PDEs in polygonal domains using conformal mappings [PDF]
, 2021 We explore algebraic strategies for numerically solving linear elliptic partial differential equations in polygonal domains. To discretize the polygon by means of structured meshes, we employ Schwarz-Christoffel conformal mappings, leading to a multiterm
Hao Y., Simoncini V.
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Autoparallels and the Inverse Problem of the Calculus of Variations
Fortschritte der Physik, Volume 74, Issue 5, May 2026.ABSTRACT We prove that autoparallel curves associated with a torsion‐free but not necessarily metric‐compatible affine connection can be derived from an action principle. We explicitly construct the action functional and show by standard variational techniques that it produces the desired equations.
Lavinia Heisenberg
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PhotonicsIn freeform optical metrology, wavefront fitting over non-circular apertures is hindered by the loss of Zernike polynomial orthogonality and severe sampling grid distortion inherent in standard conformal mappings.
Tong Yang +3 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
wiley +1 more source
Fortschritte der Physik, Volume 74, Issue 4, April 2026.Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
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A Re‐Examination of Foundational Elements of Cosmology
Fortschritte der Physik, Volume 74, Issue 3, March 2026.ABSTRACT This paper undertakes a conceptual re‐examination of several foundational elements of cosmology through the lens of spacetime symmetries. A new derivation of the Friedmann–Lemaître–Robertson–Walker metric is obtained by a careful conceptual examination of rotations and translations on generic manifolds, followed by solving the rotational and ...
Lavinia Heisenberg
wiley +1 more source
Generalized companion matrices and matrix representations for generalized Bezoutians [PDF]
, 1993 A generalization of companion matrices is presented as the starting point for developing a unified algebraic method to get matrix representations for generalized Bezoutians. Special cases are discussed.
Rost, Karla
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e-Journal of Nondestructive TestingThe total focusing method (TFM) is increasingly recognized as a powerful ultrasonic imaging technique for the quality assessment and internal defect detection of carbon fiber-reinforced composites (CFRPs).
Jiancheng Cao +3 more
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