Results 1 to 10 of about 29,587 (118)

Localized method of particular solutions using polynomial basis functions for solving two-dimensional nonlinear partial differential equations

Partial Differential Equations in Applied Mathematics, 2021
The localized method is one of the popular approaches in solving large-scale problems in science and engineering. In this paper, we implement the localized method of particular solutions using polynomial basis functions for solving various nonlinear ...
T. Dangal, B. Khatri Ghimire, A.R. Lamichhane   +2 more
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Enhancing curve and surface applications with trigonometric polynomial basis functions [PDF]

PLoS ONE
Aqsa Rasheed, Uzma Bashir, Farheen Ibraheem, Shazia Javed   +3 more
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Cointegration, Root Functions and Minimal Bases

Econometrics, 2021
This paper discusses the notion of cointegrating space for linear processes integrated of any order. It first shows that the notions of (polynomial) cointegrating vectors and of root functions coincide.
Massimo Franchi, Paolo Paruolo
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A shifted fractional-order Hahn functions Tau method for time-fractional PDE with nonsmooth solution [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2023
In this paper, a new orthogonal system of nonpolynomial basis functions is introduced and used to solve a class of time-fractional partial differential equations that have nonsmooth solutions.
N. Mollahasani
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A Polynomial Splines Identification Method Based on Control Nets

Complexity, 2020
In this study, based on Polynomial Splines with control nets, an identification method is investigated. We introduce polynomial splines with control nets defined over T-mesh.
Zhihua Wang, Hongmei Kang
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A Review of Collocation Approximations to Solutions of Differential Equations

Mathematics, 2022
This review considers piecewise polynomial functions, that have long been known to be a useful and versatile tool in numerical analysis, for solving problems which have solutions with irregular features, such as steep gradients and oscillatory behaviour.
Pravin Singh, Nabendra Parumasur, Shivani Singh   +2 more
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The Investigation of Nonlinear Polynomial Control Systems

Моделирование и анализ информационных систем, 2021
The paper considers methods for estimating stability using Lyapunov functions, which are used for nonlinear polynomial control systems. The apparatus of the Gro¨bner basis method is used to assess the stability of a dynamical system. A description of the
Sergei Nikolaevich Chukanov, Ilya Stanislavovich Chukanov   +1 more
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保形分段三次多项式曲线的形状分析(Construction and analysis of a new class of shape-preserving piecewise cubic polynomial curves)

Zhejiang Daxue xuebao. Lixue ban, 2018
This paper proposes a new class of shape-preserving piecewise cubic polynomial curves with both local and global shape control parameters. By presetting the properties of its basis functions and then solving equations,a set of polynomial basis functions ...
YANLanlan(严兰兰), FANJiqiu(樊继秋)   +1 more
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CALCULATION OF THE MINIMUM DEGREE OF A POLYNOMIAL OVER A FINITE FIELD FOR A VECTOR BOOLEAN MAP GIVEN IN ANF

Современные информационные технологии и IT-образование, 2019
We consider vector mappings over the set of 0 and 1 given by the set of Boolean functions. Boolean functions included in the map are given in ANF. Having fixed the rule according to which the binary vectors are associated with the elements of a finite ...
Sergey A. Belov
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Reduction to master integrals via intersection numbers and polynomial expansions

Journal of High Energy Physics, 2023
Intersection numbers are rational scalar products among functions that admit suitable integral representations, such as Feynman integrals. Using these scalar products, the decomposition of Feynman integrals into a basis of linearly independent master ...
Gaia Fontana, Tiziano Peraro
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