Results 71 to 80 of about 59,698 (230)
Some reductions of rank 2 and genera 2 and 3 Hitchin systems
, 2017 Certain reductions of the rank 2, genera 2 and 3 Hitchin systems are considered, which are shown to give an integrable system of 2, resp. 3, interacting points on the line.
Sheinman, Oleg K.
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Efficient First‐Principles Inverse Design of Nanolasers
Laser &Photonics Reviews, EarlyView.This article introduces a first‐principles inverse‐design framework for nanolasers that directly incorporates nonlinear lasing physics. By unifying steady‐state ab‐initio laser theory (SALT) with topology optimization, it reveals how spatial hole burning, gain saturation, and cavity‐emitter coupling shape laser performance, enabling efficient discovery
Beñat Martinez de Aguirre Jokisch +5 more
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Local convergence of general Steffensen type methods
Journal of Numerical Analysis and Approximation Theory, 2004 We study the local convergence of a generalized Steffensen method. We show that this method substantially improves the convergence order of the classical Steffensen method.
Ion Păvăloiu
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Error Bounds for Lagrange Interpolation
Journal of Approximation Theory, 1995 Consider an interpolation of functions \(f\in W_ \infty^ m [a,b]\) by Lagrange polynomials \(\ell_{m-1}\), \(\Delta(f)\) of degree \(m-1\) at the mesh \(\Delta\) of the interpolating nodes \(\{t_ j\}^ m_ 1\). Error bounds due to this approximation is evaluated as \[ L_{m,k} (\Delta)= \sup_{x\in [a,b]} L_{m,k} (\Delta,x)= {\textstyle {1\over m ...
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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AN IDENTITY ON SYMMETRIC POLYNOMIALS
Tạp chí Khoa học Đại học Đà Lạt, 2020 In this paper, we propose and prove an identity on symmetric polynomials. In order to obtain this identity, we use the interpolation theory, in particular, the Lagrange interpolation formula. In the proof of the identity, we propose two different proofs.
Đặng Tuấn Hiệp, Lê Văn Vĩnh
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Interpolation mit C1-Supersplines auf Klassen von Tetraederzerlegungen [PDF]
, 2003 Wir entwickeln eine allgemeine Methode zur Konstruktion von Tetraederzerlegungen Δ, welche für die Interpolation mit trivariaten C1 Supersplines vom Grad ≥ 6 geeignet sind.
Hecklin, Gero
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Hagen–Rothe Convolution Identities Through Lagrange Interpolations
Discrete Mathematics Letters, 2023 Summary: New proofs of Hagen-Rothe identities concerning binomial convolutions are presented through Lagrange interpolations.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo +2 more
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Results in Applied MathematicsIn Boffi et al. (2000), it was shown that the linear Lagrange element space on criss-cross meshes and its divergence exhibit spurious eigenvalues when applied in the mixed formulation of the Laplace eigenvalue problem, despite satisfying both the inf–sup
Kaibo Hu, Jiguang Sun, Qian Zhang
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