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Physics Letters A, ISSN 0375-9601, 10/2019, p. 126033
Journal Article
11/2011
An evolutionary geometry parametrization is established to represent aerodynamic configurations. This geometry parametrization technique is constructed by... 
evolutionary parametrization | aerodynamic shape optimization | B-spline | knot insertion | 0538
Dissertation
by Lee, M and Moser, RD
JOURNAL OF FLUID MECHANICS, ISSN 0022-1120, 07/2015, Volume 774, pp. 395 - 415
A direct numerical simulation of incompressible channel flow at a friction Reynolds number (Re-tau) of 5186 has been performed, and the flow exhibits a number... 
turbulent boundary layers | STATISTICS | PHYSICS, FLUIDS & PLASMAS | WALL-BOUNDED TURBULENCE | LARGE-SCALE MOTIONS | PIPE-FLOW | SMOOTH | turbulent flows | B-SPLINE | REGION | MECHANICS | turbulence simulation | HIGH-REYNOLDS-NUMBER | LAYER | SPECTRA
Journal Article
2017, Synthesis lectures on visual computing: computer graphics, animation, computational photography, and imaging, ISBN 9781627059053, Volume 25, xv, 233 pages
This book is written for students, CAD system users and software developers who are interested in geometric continuity-a notion needed in everyday practice of... 
Geometry, Differential | Computing and Processing | General Topics for Engineers
Book
Planetary and Space Science, ISSN 0032-0633, 11/2019, Volume 178, p. 104719
Journal Article
06/2009
This dissertation presents a synthesis of methods for structural optimization of aircraft wing boxes. The optimization problem considered herein is the... 
0538 | Configurable B-spline, Structural Optimization, Wing Boxes
Dissertation
Mathematics and Computers in Simulation, ISSN 0378-4754, 2018, Volume 164, pp. 33 - 45
In this paper, we use a cubic spline collocation method to solve a two dimensional convection–diffusion equation. More precisely, we approximate first and... 
Quasi-interpolation | Collocation-method | Convection–diffusion equation | B-spline
Journal Article
2014, ISBN 9783642406171, Volume 270, Issue 1, 8
Reference
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 04/2018, Volume 332, pp. 47 - 62
We present a computational design methodology for topology optimization of multi-material-based flexoelectric composites. The methodology extends our recently... 
Topology optimization | Flexoelectricity | B-spline elements | Level set | Multi-material | DESIGN | SHAPE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | NETWORKS | FLAWS | Research institutes | Mechanical engineering | Analysis | Differential equations | Physics - Computational Physics
Journal Article
Optics Express, ISSN 1094-4087, 03/2016, Volume 24, Issue 6, pp. 5918 - 5933
A new method for fitting a series of Zernike polynomials to point clouds defined over connected domains of arbitrary shape defined within the unit circle is... 
OPTICS | CURVES | B-SPLINE | SURFACES
Journal Article
Visual Computer, ISSN 0178-2789, 06/2019, Volume 35, Issue 6-8, pp. 921 - 933
Journal Article
by Liu, M and Zhu, W.D
Journal of Sound and Vibration, ISSN 0022-460X, 12/2019, Volume 462, p. 114886
An efficient formulation of a circular Timoshenko beam is developed for static, vibration, and wave propagation problems. The B-spline wavelet on the interval... 
Circular beam | Phononic crystal | Wave propagation characteristics | B-spline wavelet on the interval | Band structure problem
Journal Article
Expert Systems With Applications, ISSN 0957-4174, 12/2019, Volume 138, p. 112842
This paper presents a recurrent neural network (RNN) which is improved by using an efficient discrete wavelet transform (DWT) for predicting a high-frequency... 
Financial time series forecasting | Discrete wavelet transform | Return volatility | B-spline wavelets multiresolution | Artificial neural networks
Journal Article
Physica A: Statistical Mechanics and its Applications, ISSN 0378-4371, 01/2020, Volume 537, p. 122634
In this paper, we investigate the physical behavior of the basic elements that related to phase decomposition in ternary alloys of (Fe–Cr–Mo) and (Fe–Cr–Cu)... 
Modified auxiliary equation method | Solitary wave solutions | Cubic B-spline scheme | Convective–diffusive Cahn–Hilliard equation
Journal Article
Applied Mathematical Sciences, ISSN 1312-885X, 2016, Volume 10, Issue 5-8, pp. 205 - 234
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2020, Volume 366, p. 124727
This paper is concerned with design and analysis of a high order numerical approach based on a uniform mesh to approximate the solution of time-fractional... 
Caputo’s derivative | Stability | Collocation | Sextic B-spline basis function | Time fractional equation | Convergence analysis
Journal Article
CAD Computer Aided Design, ISSN 0010-4485, 2015, Volume 59, pp. 155 - 157
A G interpolation method to a closed mesh was proposed by Shi et al. in [1]. This note points out that their method has two theoretical defects, which may lead... 
B-spline surface | continuity | Coons | Mesh interpolation
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 03/2020, Volume 366, p. 112440
In this paper, the cubic B-spline collocation method is used for solving the stochastic integro-differential equation of fractional order. we show that... 
Fractional integro-differential equation | Cubic B-spline functions | Stochastic integral equations | Error analysis | Collocation method
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 01/2016, Volume 472, Issue 2185, p. 20150790
The aim of this paper is to find a computationally efficient and predictive model for the class of systems that we call 'pantographic structures'. The interest... 
Second gradient models | Elastic surface theory | Nonlinear beam | MIXTURE | elastic surface theory | MULTIDISCIPLINARY SCIENCES | second gradient models | MODEL | METAMATERIALS | IDENTIFICATION | ELASTICITY | POSTBUCKLING BEHAVIOR | DISCRETE | B-SPLINE INTERPOLATION | SYMMETRY GROUP | CONTINUUM THEORY | nonlinear beam
Journal Article
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, ISSN 1017-060X, 06/2019, Volume 45, Issue 3, pp. 843 - 864
The paper is concerned with the construction of biorthogonal multiple knot B-spline(MKBS) scaling functions and multiple knot B-spline wavelet (MKBSW) basis... 
Wavelet | MATHEMATICS | Multiple knot | B-spline | Biorthogonal
Journal Article
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