Results 1 to 10 of about 395 (42)
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.
Bishnu P. Lamichhane
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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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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, 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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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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Polynomial spline collocation methods for second‐order Volterra integrodifferential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 56, Page 3011-3022, 2004., 2004 We have presented a method for the construction of an approximation to the initial‐value second‐order Volterra integrodifferential equation (VIDE). The polynomial spline collocation methods described here give a superconvergence to the solution of the equation.
Edris Rawashdeh +2 more
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PIS for n‐coupled nonlinear systems
International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 4, Page 789-791, 1980., 1980 A numerical algorithm dealing with solutions of equations with one variable may not be extended to solve nonlinear systems with n unknowns. Even when such extensions are possible, properties of these two similar algorithms are, in general, different.
S. K. Dey
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Modifications of the continuation method for the solution of systems of nonlinear equations
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 2, Page 299-308, 1979., 1979 Modifications are proposed to the Davidenko‐Broyden algorithm for the solution of a system of nonlinear equations. The aim of the modifications is to reduce the overall number of function evaluations by limiting the number of function evaluations for any one subproblem. To do this alterations are made to the strategy used in determining the subproblems
G. R. Lindfield, D. C. Simpson
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Quantum (q, h)-Bézier surfaces based on bivariate (q, h)-blossoming
Demonstratio Mathematica, 2019 We introduce the (q, h)-blossom of bivariate polynomials, and we define the bivariate (q, h)-Bernstein polynomials and (q, h)-Bézier surfaces on rectangular domains using the tensor product.
Jegdić Ilija +2 more
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An extended Prony’s interpolation scheme on an equispaced grid
Open Mathematics, 2015 An interpolation scheme on an equispaced grid based on the concept of the minimal order of the linear recurrent sequence is proposed in this paper.
Karalienė Dovile +3 more
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