Results 51 to 60 of about 821 (111)

A well-balanced meshless tsunami propagation and inundation model

, 2017
We present a novel meshless tsunami propagation and inundation model. We discretize the nonlinear shallow-water equations using a well-balanced scheme relying on radial basis function based finite differences.
Behrens, Jörn, Bihlo, Alexander, Brecht, Rüdiger, MacLachlan, Scott   +3 more
core   +1 more source

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

Journal of Mathematical Analysis and Applications
A new generalization of multiquadric functions $ϕ(x)=\sqrt{c^{2d}+||x||^{2d}}$, where $x\in\mathbb{R}^n$, $c\in \mathbb{R}$, $d\in \mathbb{N}$, 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-Lagrange operator that ...
Mathis Ortmann, Martin D. Buhmann
openaire   +4 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

Parametric Level Set Methods for Inverse Problems

, 2011
In this paper, a parametric level set method for reconstruction of obstacles in general inverse problems is considered. General evolution equations for the reconstruction of unknown obstacles are derived in terms of the underlying level set parameters ...
Alireza Aghasi, Eric L. Miller, Misha Kilmer, Soleimani M., Tai X.C.   +4 more
core   +1 more source

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

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

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