Results 61 to 70 of about 2,738 (206)
Mathematical Problems in Engineering, 2021 Given an array (or matrix) of values for a function of one or more variables, it is often desired to find a value between two given points. Multivariable interpolation and approximation by radial basis functions are important subjects in approximation theory that have many applications in Science and Engineering fields.
Filipe Ribeiro +3 more
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International Journal of Energy Research, Volume 2025, Issue 1, 2025.Hydrogen is acquiring a promising recognition as a new trend in energy storage technologies due to its advantageous features including fast response, high energy density, and unconstrained storage capacity. Thus, it offers an effective solution for addressing the stability challenges posed by the large‐scale integration of renewable energy sources ...
Hossam Ashraf +3 more
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Solving the Linear Integral Equations Based on Radial Basis Function Interpolation
Journal of Applied Mathematics, 2014 The radial basis function (RBF) method, especially the multiquadric (MQ) function, was introduced in solving linear integral equations. The procedure of MQ method includes that the unknown function was firstly expressed in linear combination forms of ...
Huaiqing Zhang, Yu Chen, Xin Nie
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Bivariate High‐Accuracy Hermite‐Type Multiquadric Quasi‐Interpolation Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, a kind of Hermite‐type multiquadric quasi‐interpolation operator is constructed by combining an extended univariate multiquadric quasi‐interpolation operator with a bivariate Hermite interpolation polynomial. Some error bounds in terms of the modulus of continuity of high order and Peano representations for the error are given. Numerical
Ruifeng Wu, Pramita Mishra
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MathematicsThis paper presents a computational framework for resolving a nonlinear extension of the Black–Scholes partial differential equation that accounts for transaction costs through a volatility function dependent on the Gamma of the option price.
Haifa Bin Jebreen +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian +3 more
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Nuclear mass predictions with radial basis function approach
, 2011 With the help of radial basis function (RBF) and the Garvey-Kelson relation, the accuracy and predictive power of some global nuclear mass models are significantly improved.
Liu, Min, Wang, Ning
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Computational and Applied Mathematics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muaz Seydaoğlu +2 more
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Remeshing in the finite cell method for different types of geometry descriptions
Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 4, December 2024.Abstract The numerical structural analysis of problems with complex geometries can be challenging, especially if standard finite elements are used. In contrast, immersed methods, such as the finite cell method, relieve the mesh generation such that simply shaped elements/cells can be used.
Roman Sartorti, Alexander Düster
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The collocation and meshless methods for differential equations in R(2)
, 2007 In recent years, meshless methods have become popular ones to solve differential equations. In this thesis, we aim at solving differential equations by using Radial Basis Functions, collocation methods and fundamental solutions (MFS).
Jarjees, Thamira Abid
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