Results 11 to 20 of about 434 (57)
A mixed finite element discretisation of linear and nonlinear multivariate splines using the Laplacian penalty based on biorthogonal systems. [PDF]
MethodsX, 2023 We consider a mixed finite element method for a linear multivariate spline using the Laplacian penalty. Our discretisation is based on biorthogonal systems leading to a very simple and efficient finite element scheme.
Lamichhane BP.
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Recursive POD expansion for the advection-diffusion-reaction equation [PDF]
, 2018 This paper deals with the approximation of advection-diffusion-reaction equation solution by reduced order methods. We use the Recursive POD approximation for multivariate functions introduced in [M. AZAÏEZ, F. BEN BELGACEM, T. CHACÓN REBOLLO, Recursive
M. Azaïez +3 more
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Solution for a rotational pendulum system by the Rach–Adomian–Meyers decomposition method
Nonlinear Engineering, 2022 In this article, we report for the first time the application of a novel and extremely valuable methodology called the Rach–Adomian–Meyers decomposition method (MDM) to obtain numerical solutions to the rotational pendulum equation.
González-Gaxiola O. +2 more
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Open Mathematics, 2021 In this article, we have developed an implicit symmetric four-step method of sixth algebraic order with vanished phase-lag and its first derivative. The error and stability analysis of this method are investigated, and its efficiency is tested by solving
Obaidat Saleem, Butt Rizwan
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, 2021 In this paper we put forth Hermite neural network (HNN) algorithm with improved extreme learning machine (IELM) to solve initial/boundary value problems of high-order ordinary differential equation(ODEs) and high-order system of ordinary differential ...
Yanfei Lu, Futian Weng, Hongli Sun
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Applying spline-based phase analysis to macroeconomic dynamics
Dependence Modeling, 2022 The article uses spline-based phase analysis to study the dynamics of a time series of low-frequency data on the values of a certain economic indicator. The approach includes two stages. At the first stage, the original series is approximated by a smooth
Lyudmila Gadasina, Lyudmila Vyunenko
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Open Mathematics, 2020 In this paper, a Cauchy problem for the Laplace equation is considered. We develop a modified Tikhonov regularization method based on Hermite expansion to deal with the ill posed-ness of the problem.
Zhao Zhenyu, You Lei, Meng Zehong
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Convergence and stability of Jungck-type iterative procedures in convex b-metric spaces
Fixed Point Theory and Applications, 2013 The purpose of this paper is to investigate some strong convergence as well as stability results of some iterative procedures for a special class of mappings.
A. Razani, M. Bagherboum
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Round-off stability for multi-valued maps
Fixed Point Theory and Applications, 2012 An iterative procedure for a map T is said to be stable if the approximate sequence arising in numerical praxis converges to the point anticipated by the theoretical sequence.
S. Singh, S. Mishra, Sarika Jain
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A discrete methodology for controlling the sign of curvature and torsion for NURBS [PDF]
, 2009 This paper develops a discrete methodology for approximating the so-called convex domain of a NURBS curve, namely the domain in the ambient space, where a user-specified control point is free to move so that the curvature and torsion retains its sign ...
Alexandros I. Ginnis +5 more
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