Results 71 to 80 of about 865 (215)

Efficient Numerical Solution of the Sharma-Tasso-Olver Equation Using Radial Basis Function-Pseudo Spectral Method with Comparative Analysis

Wasit Journal for Pure Sciences
In this study, we will solve the Sharma-Tasso-Olver equation by utilizing the radial basis function-pseudo spectral approach. Pseudo spectral techniques are renowned for their exceptional precision but have constraints regarding their ability to handle ...
Luqman Zebari
doaj   +1 more source

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
wiley   +1 more source

A shape optimization pipeline for marine propellers by means of reduced order modeling techniques

International Journal for Numerical Methods in Engineering, Volume 125, Issue 7, 15 April 2024.
Abstract In this article, we propose a shape optimization pipeline for propeller blades, applied to naval applications. The geometrical features of a blade are exploited to parametrize it, allowing to obtain deformed blades by perturbating their parameters. The optimization is performed using a genetic algorithm that exploits the computational speed‐up
Anna Ivagnes, Nicola Demo, Gianluigi Rozza   +2 more
wiley   +1 more source

MQ Quasi-Interpolation Operators: Adaptive Construction and Rigorous Approximation Bound Estimations

Mathematics
This paper focuses on constructing four novel multiquadric (MQ) quasi-interpolation operators. We conduct a comprehensive analysis of the essential properties of the proposed operators and further derive rigorous optimal upper and lower bounds for the ...
Lixia Gao
doaj   +1 more source

Numerical Solution of High-Dimensional Shockwave Equations by Bivariate Multi-Quadric Quasi-Interpolation

Mathematics, 2019
Radial basis function-based quasi-interpolation performs efficiently in high-dimensional approximation and its applications, which can attain the approximant and its derivatives directly without solving any large-scale linear system.
Shenggang Zhang, Chungang Zhu, Qinjiao Gao   +2 more
doaj   +1 more source

Multi‐Spacecraft Magnetic Field Reconstructions: A Cross‐Scale Comparison of Methods

Earth and Space Science, Volume 11, Issue 3, March 2024.
Abstract Space plasma studies frequently use in situ magnetic field measurements taken from many spacecraft simultaneously. A useful data product of these measurements is the reconstructed magnetic field in a volume near the spacecraft observatory. We compare a standard Linear method of computing the magnetic field at arbitrary spatial points to two ...
T. Broeren, K. G. Klein, J. M. TenBarge
wiley   +1 more source

An improved multiquadric collocation method for 3-D electromagnetic problems [PDF]

, 2007
The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions.
Xie, DX, Zhang, Y, Zhu, J, Shao, KR, Lavers, JD, Guo, Y   +5 more
core   +1 more source

Wetlands Water Level Measurements From the New Generation of Satellite Laser Altimeters: Systematic Spatial‐Temporal Evaluation of ICESat‐2 and GEDI Missions Over the South Florida Everglades

Water Resources Research, Volume 60, Issue 3, March 2024.
Abstract The ICESat‐2 and GEDI missions were launched in 2018, becoming the new generation of space‐borne laser altimeters. These missions provide unprecedented global geodetic elevations, opening great opportunities for water level monitoring. The potential of these altimeters has been demonstrated in open‐water environments such as lakes, rivers, and
Sebastián Palomino‐Ángel, Shimon Wdowinski, Shanshan Li   +2 more
wiley   +1 more source

Radial basis function based meshless methods for fluid flow problems

, 2006
This thesis is concerned with the development of meshless methods using radial basis functions for solving fluid flow problems. The advantage of meshless methods over traditional mesh-based methods is that they make use of a scattered set of collocation ...
Chinchapatnam, Phani P., Chinchapatnam, Phani P   +1 more
core  

Multiquadric collocation methods in the numerical solution of Volterra integral equations with weakly-singular kernel

, 1993
Nonlinear Volterra integral equation with weakly singular kernels are considered and are solved by applying piecewise collocation methods based on multiquadric approximations combined with Gauss quadrature ...
Kansa, E. J., Makroglou, Athena, Makroglou, A.   +2 more
core   +1 more source