Results 31 to 40 of about 326 (178)

Numerical Solution of Poisson's Equation Using a Combination of Logarithmic and Multiquadric Radial Basis Function Networks

Journal of Applied Mathematics, 2012
This paper presents numerical solution of elliptic partial differential equations (Poisson's equation) using a combination of logarithmic and multiquadric radial basis function networks.
Mohammad Mehdi Mazarei, Azim Aminataei
doaj   +1 more source

Generalized Multiquadric Neural Networks in Image Reconstruction

, 2022
This work aims to numerically investigate the performance of the multiquadric (MQ) radial basis function in more general formats for image reconstruction applications. Desired features, i.e., accuracy and shape parameter sensitivity, of each form is numerically compared and explored.
Pornthip Pongchalee, Pirapong Inthapong, Krittidej Chanthawara, Pichapop Paewpolsong, Sayan Kaennakham   +4 more
openaire   +1 more source

Nonsingularity of unsymmetric Kansa matrices: Random collocation by MultiQuadrics and Inverse MultiQuadrics

Mathematics and Computers in Simulation
Unisolvence of unsymmetric Kansa collocation is still a substantially open problem. We prove that Kansa matrices with MultiQuadrics and Inverse MultiQuadrics for the Dirichlet problem of the Poisson equation are almost surely nonsingular, when the collocation points are chosen by any continuous random distribution in the domain interior and arbitrarily
R. Cavoretto, A. De Rossi, F. Dell’Accio, A. Sommariva, M. Vianello   +4 more
openaire   +3 more sources

Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions

International Journal of Computational Methods
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for solving ordinary differential equations. These methods are developed by utilizing MQ- and IMQ-RBF Euler methods.
Mahata, Shipra, Rathan, Samala
openaire   +3 more sources

The Shape Parameter in the Shifted Surface Spline—A Sharp and Friendly Approach

Mathematics
This is a continuation of our previous study on the shape parameter contained in the shifted surface spline. We insist that the data points be purely scattered without meshes and the domain can be of any shape when conducting function interpolation by ...
Lin-Tian Luh
doaj   +1 more source

Error bounds for multiquadrics without added constants

Journal of Approximation Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Martin D. Buhmann, Oleg Davydov
openaire   +2 more sources

Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar, Silvia Monchetti, Elisabetta Manconi, Roberto Brighenti   +3 more
wiley   +1 more source

Monthly median f0F2 and M(3000)F2 ionospheric model over Europe

Annals of Geophysics, 1996
Monthly median f0F2 and M(3000)F2 ionospheric model, MQMF2, based on the multiquadric (MQ) method of spatial interpolation and a new ionospheric index MF2 describes the monthly median f0F2 and M(3000)F2 over Europe for any UT moment, month and level of ...
M. G. Skoblin, V. V. Mikhailov, A. V. Mikhailov   +2 more
doaj   +1 more source

Sparse approximate multiquadric interpolation

Computers & Mathematics with Applications, 1994
The authors consider the following problem: given a set \(S\) of samples of a multivariate function \(f\) and an error tolerance \(\delta\), find the smallest set of points \(T \subseteq S\) such that if \(M\) is the multiquadric interpolant of \(T\), then the relative error between \(M\) and \(f\) over \(S\) is at most \(\delta\).
Carlson, R.E., Natarajan, B.K.
openaire   +1 more source

HPV‐Adjusted Feature Screening With FDR Control in Head and Neck Cancer

Biometrical Journal, Volume 68, Issue 3, June 2026.
ABSTRACT Human papillomavirus (HPV) is a well‐established prognostic factor in head and neck (HN) cancer, with HPV‐positive patients exhibiting markedly better survival outcomes compared to their HPV‐negative counterparts. While advances in (cancer) genomics have been pivotal to precision medicine, existing gene screening methods for identifying ...
Atika Farzana Urmi, Chenlu Ke, Dipankar Bandyopadhyay   +2 more
wiley   +1 more source