Results 1 to 10 of about 9,653,321 (312)

Numerical treatment of Benjamin-Bona-Mahony-Burgers equation with fourth-order improvised B-spline collocation method

open access: yesJournal of Ocean Engineering and Science, 2022
In this work, the Benjamin-Bona-Mahony-Burgers (BBMB) equation is solved using an improvised cubic B-spline collocation technique. This equation describes the propagation of small amplitude waves in a nonlinear dispersive medium, in the modeling of ...
Shallu, V.K. Kukreja
doaj   +1 more source

On convolutions of B-splines

open access: yesJournal of Computational and Applied Mathematics, 1994
The main subject of this paper is the convolution of spline functions. In particular, the author gives an expression for the convolution of a spline over nonuniform knots with \(B\)-splines as a linear combination of \(B\)-splines of higher order. The coefficients are expressed in terms of divided differences and can be evaluated by a stable recurrence
openaire   +1 more source

Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems

open access: yesBMC Research Notes, 2023
This work proposes a uniformly convergent numerical scheme to solve singularly perturbed parabolic problems of large time delay with two small parameters.
Naol Tufa Negero
doaj   +1 more source

Local and Global Approaches to Fracture Mechanics Using Isogeometric Analysis Method

open access: yesJournal of Applied and Computational Mechanics, 2015
In the present research, implementations of different computational geometry technologies in isogeometric analysis framework for computational fracture mechanics are investigated.
Abdolghafoor Khademalrasoul, Reza Naderi
doaj   +1 more source

Isogeometric Resolution of the Brinkman-Forchheimer-Darcy [PDF]

open access: yesJournal of Applied and Computational Mechanics
In this paper, we employ the finite element method based on non-uniform rational B-splines function approximation to solve the nonlinear Brinkman-Forcheimer-Darcy equation in a simply connected and bounded Lipschitz domain Ω.
Ouadie Koubaiti   +5 more
doaj   +1 more source

LR B-splines to approximate bathymetry datasets: An improved statistical criterion to judge the goodness of fit

open access: yesInternational Journal of Applied Earth Observations and Geoinformation, 2022
The task of representing remotely sensed scattered point clouds with mathematical surfaces is ubiquitous to reduce a high number of observations to a compact description with as few coefficients as possible.
Vibeke Skytt   +2 more
doaj   +1 more source

A quadratic trigonometric B-Spline as an alternate to cubic B-spline

open access: yesAlexandria Engineering Journal, 2022
The idea of the quadratic trigonometric spline (QTS) for the curve modeling approach inspired this paper using a quadratic trigonometric function presented in it. By creating B-spline-like local support basis functions, a competent freeform curve design approach is created.
Shamaila Samreen   +2 more
openaire   +2 more sources

B‐splines image approximation using resampled chordal parameterization

open access: yesIET Image Processing
Image processing often requires filtering, which can be effectively performed by using B‐spline surface approximation. This article presents a fast method of approximating data in rectangular (image) form using such surfaces. The method considers dynamic
Robert Świta, Zbigniew Suszyński
doaj   +1 more source

LOCALLY REFINED SPLINES REPRESENTATION FOR GEOSPATIAL BIG DATA [PDF]

open access: yesThe International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2015
When viewed from distance, large parts of the topography of landmasses and the bathymetry of the sea and ocean floor can be regarded as a smooth background with local features.
T. Dokken, V. Skytt, O. Barrowclough
doaj   +1 more source

A Reverse Non-Stationary Generalized B-Splines Subdivision Scheme

open access: yesMathematics, 2021
In this paper, two new families of non-stationary subdivision schemes are introduced. The schemes are constructed from uniform generalized B-splines with multiple knots of orders 3 and 4, respectively. Then, we construct a third-order reverse subdivision
Abdellah Lamnii   +2 more
doaj   +1 more source

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