Results 21 to 30 of about 97 (76)

Symplectic multiquadric quasi-interpolation approximations of KdV equation

Filomat, 2018
Radial basis functions quasi-interpolation is very useful tool for the numerical solution of differential equations, since it possesses shape-preserving and high-order approximation properties. Based on multiquadric quasi-interpolations, this study suggests a meshless symplectic procedure for KdV equation.
Zhang, Shengliang, Zhang, Liping
openaire   +3 more sources

Numerical Solution of the Nonlinear Klein-Gordon Equation Using Multiquadric Quasi-interpolation Scheme [PDF]

Universal Journal of Applied Mathematics, 2015
This paper's purpose is to provide a numerical scheme to approximate solutions of the nonlinear Klein-Gordon equation by applying the multiquadric quasi-interpolation scheme and the integrated radial basis function network scheme. Our scheme uses θ-weighted scheme for discretization of the temporal derivative and the integrated form of the multiquadric
M. Sarboland, A. Aminataei
openaire   +1 more source

MULTIQUADRIC QUASI-INTERPOLATION METHOD FOR FRACTIONAL INTEGRAL-DIFFERENTIAL EQUATIONS

Journal of Applied Analysis & Computation
Summary: In this paper, Multiquadric quasi-interpolation method is used to approximate fractional integral equations and fractional differential equations. Firstly, we construct two operators for approximating the Hadamard integral-differential equation based on quasi interpolators, and verify their properties and order of convergence.
Wang, Ziqiang, Tan, Qing, Wang, Zhongqing, Cao, Junying   +3 more
openaire   +1 more source

Shape preserving properties and convergence of univariate multiquadric quasi-interpolation

Acta Mathematicae Applicatae Sinica, 1994
The authors show that the quasi-interpolation with multiquadrics on scattered points preserves convexity, linearity and monotonicity. An error bound is also obtained.
Wu, Zongmin, Schaback, Robert
openaire   +2 more sources

A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines

Journal of Computational and Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
openaire   +2 more sources

High accuracy quasi-interpolation using a new class of generalized multiquadrics

Journal of Mathematical Analysis and Applications
A new generalization of multiquadric functions phi ( x ) = root c(2d) + || x ||(2d) , where x is an element of R-n , c is an element of R, d is an element of N, is presented to increase the accuracy of quasi -interpolation further. With the restriction to Euclidean spaces of odd dimensionality, the generalization can be used to generate a quasi ...
Ortmann, Mathis, Buhmann, Martin, Justus Liebig University Giessen   +2 more
openaire   +3 more sources

Approximation orders and shape preserving properties of the multiquadric trigonometric B-spline quasi-interpolant

Computers & Mathematics with Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenwu Gao, Zongmin Wu
openaire   +1 more source

Approximation to the k-th derivatives by multiquadric quasi-interpolation method

Journal of Computational and Applied Mathematics, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Limin Ma, Zongmin Wu
openaire   +2 more sources

Research on surrogate model of dam numerical simulation with multiple outputs based on adaptive sampling. [PDF]

Sci Rep, 2023
Liang J, Li Z, Pan L, Khailah EY, Sun L, Lu W.   +5 more
europepmc   +1 more source

Prediction and Global Sensitivity Analysis of Long-Term Deflections in Reinforced Concrete Flexural Structures Using Surrogate Models. [PDF]

Materials (Basel), 2023
Dan W, Yue X, Yu M, Li T, Zhang J.
europepmc   +1 more source