Results 21 to 30 of about 12,277,297 (302)
Aorta zero-stress state modeling with T-spline discretization
Computational Mechanics, 2018 The image-based arterial geometries used in patient-specific arterial fluid–structure interaction (FSI) computations, such as aorta FSI computations, do not come from the zero-stress state (ZSS) of the artery.
Takafumi Sasaki +2 more
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On the approximation power of generalized T-splines
Journal of Computational and Applied Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cesare Bracco +3 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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A Generalized Quasi Cubic Trigonometric Bernstein Basis Functions and Its B-Spline Form
Mathematics, 2021 In this paper, under the framework of Extended Chebyshev space, four new generalized quasi cubic trigonometric Bernstein basis functions with two shape functions α(t) and β(t) are constructed in a generalized quasi cubic trigonometric space span{1,sin2t,(
Yunyi Fu, Yuanpeng Zhu
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Numerical treatment of Hunter Saxton equation using cubic trigonometric B-spline collocation method
AIP Advances, 2017 In this article, authors proposed a computational model based on cubic trigonometric B-spline collocation method to solve Hunter Saxton equation. The nonlinear second order partial differential equation arises in modeling of nematic liquid crystals and ...
M. S. Hashmi +3 more
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Application of statistical spline model for solving inverse source parabolic problems [PDF]
تصمیم گیری و تحقیق در عملیات, 2018 Inverse parabolic problems are the most famous ill-posed problems. Thus using stable inexact numerical methods for approximating these problems, causes a large perturbation.
Amir Hossein Salehi Shayegan, Ali Zakeri
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Multivariate Analysis-Suitable T-Splines of Arbitrary Degree
Computational Methods in Applied Mathematics, 2023 Abstract This paper defines analysis-suitable T-splines for arbitrary degree (including even and mixed degrees) and arbitrary dimension. We generalize the concept of anchor elements known from the two-dimensional setting, extend existing concepts of analysis-suitability and show their sufficiency for linearly independent T-splines.
Robin Hiniborch, Philipp Morgenstern
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MathematicsIsogeometric analysis (IGA) is a numerical methodology for solving differential equations by employing basis functions that preserve the exact geometry of the domain. This approach is based on a class of mathematical functions known as NURBS (Non-Uniform
João Carlos L. Peixoto +2 more
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An Upper Bound of the Bezout Number for Piecewise Algebraic Curves over a Rectangular Partition
International Journal of Mathematics and Mathematical Sciences, 2012 A piecewise algebraic curve is a curve defined by the zero set of a bivariate spline function. Given two bivariate spline spaces (Δ) over a domain D with a partition Δ, the Bezout number BN(m,r;n,t;Δ) is defined as the maximum finite number of the ...
Feng-Gong Lang, Xiao-Ping Xu
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Advances in Difference Equations, 2017 In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of ...
RK Mohanty, Gunjan Khurana
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