Results 71 to 80 of about 27,120 (203)
Abstract and Applied Analysis, 2013 A new numerical method is introduced for solving linear Fredholm integrodifferential equations which is based on a hybrid of block-pulse functions and Chebyshev polynomials using the well-known Chebyshev-Gauss-Lobatto collocation points.
Z. Pashazadeh Atabakan +2 more
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Проблемы анализа, 2020 In this paper, we give the generating functions of binary product between 2-orthogonal Chebyshev polynomials and kFibonacci, k-Pell, k-Jacobsthal numbers and the other orthogonal Chebyshev polynomials.
H. Merzouk, B. Aloui, A. Boussayoud
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Chebyshev polynomial approximation to approximate partial differential equations [PDF]
This pa per suggests a simple method based on Chebyshev approximation at Chebyshev nodes to approximate partial differential equations. The methodology simply consists in determining the value function by using a set of nodes and basis functions.
Guglielmo Maria Caporale, Mario Cerrato
core
A family of Chebyshev-Halley type methods in Banach spaces [PDF]
, 1997 A family of third-order iterative processes (that includes Chebyshev and Halley's methods) is studied in Banach spaces. Results on convergence and uniqueness of solution are given, as well as error estimates.
Gutiérrez, J.M. [0000-0002-0434-7250] +1 more
core +1 more source
Polynomial‐shaped electrodes for adaptive X‐ray optics
Journal of Synchrotron Radiation, EarlyView.A shaped electrode design for lithium niobate adaptive X‐ray mirrors connects actuator degrees of freedom to specific polynomial orders, enabling general shape control and the correction of defocus, coma and fourth‐order aberrations with a limited number of inputs.For adaptive mirrors on X‐ray beamlines and optical systems, we describe a strategy for ...
Kenneth A. Goldberg +2 more
wiley +1 more source
Generalization and solution methods of the Chebyshev-Hermite and Chebyshev-Laguerre type equations [PDF]
, 2000 Fen Bilimleri Enstitüsü, Matematik Ana Bilim Dalım ÖZET CHEBYSHEV-HERMİTE VE CHEBYSHEV-LAGUERRE TİPLİ DENKLEM SINIFLARININ GENELLEŞTİRİLMESİ VE ÇÖZÜM YÖNTEMLERİ TUNA, Adnan Niğde Üniversitesi Fen Bilimleri Enstitüsü Matematik Ana Bilim Dalı Danışman ...
Tuna, Adnan
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Shifted-modified Chebyshev filters
, 2013 This paper introduces a new type of filter approximation method that utilizes shifted-modified Chebyshev filters. Construction of the new filters involves the use of shifted-modified Chebyshev polynomials that are formed using the roots of conventional ...
Şengül, Metin Y.
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NAADF: Globally Illuminated Voxel Worlds Accelerated with Nested Axis‐Aligned Distance Fields
Computer Graphics Forum, EarlyView.Abstract Achieving realistic rendering of 3D scenes in real time using path tracing is challenging due to the high sample count required, with ray tracing as the bottleneck. Focusing on voxels as a geometry representation offers significant opportunities for optimizations, especially for tracing the rays, but also for computing the samples.
A. Ulschmid +4 more
wiley +1 more source
Parallel Vectors Extraction using Bézier Clipping
Computer Graphics Forum, EarlyView.Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley +1 more source
General convergence of the methods from Chebyshev-Halley family
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper we study the Chebyshev-Halley family (which contains, as particular cases, the Chebyshev method, Halley method, super-Halley method and the C-method). For Chebyshev and super-Halley methods we give a global theorem of convergence.
Raluca Anamaria Pomian
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