-
1401
MLAPM - a C code for cosmological simulations
Published 2001“…The code is purely grid-based and uses a recursively refined Cartesian grid to solve Poisson's equation for the potential, rather than obtaining the potential from a Green's function. …”
Journal article -
1402
A new interpretation of the Keller-Segel model based on multiphase modelling.
Published 2004“…By restricting attention to one-dimensional cartesian geometry we show how the model reduces to a pair of nonlinear coupled partial differential equations for the cell density and the chemical concentration. …”
Journal article -
1403
Variational modelling of cavitation and fracture in nonlinear elasticity
Published 2009“…We show, further, that the creation of surface can be modeled by carefully analyzing the jump set of the inverses, and we point out some connections between the analysis of cavitation and fracture, the theory of SBV functions, and the theory of Cartesian currents of Giaquinta, Modica, and Soucek. …”
Thesis -
1404
Numerical simulation of the time-fractional Fokker--Planck equation and applications to polymeric fluids
Published 2023“…The key challenge associated with the numerical solution of the TFNSFP system is that, in addition to it being nonlocal in time, it is, even in its simplest form, posed on a spatial domain that is the Cartesian product of two d-dimensional domains, for d ∈ {2, 3}, the d-dimensional flow domain and the d-dimensional configuration space domain. …”
Journal article -
1405
Numerical linear approximation involving radial basis functions
Published 2014“…The main contributions of this thesis include sufficient conditions for the sovability of compactly supported radial basis functions with different shapes, near points preconditioning techniques for high dimensional interpolation systems with compactly supported radial basis functions, a heterogeneous hierarchical radial basis function interpolation scheme, which allows compactly supported radial basis functions of different shapes at the same level, an <em>O</em>(<em>N</em>) algorithm for constructing hierarchical scattered data set andan <em>O</em>(<em>N</em>) algorithm for sparse kernel summation on Cartesian grids. Besides the main contributions, we also investigate the eigenvalue distribution of interpolation matrices related to radial basis functions, and propose a concept of smoothness matching. …”
Thesis -
1406
Self-supervised video representation learning by uncovering spatio-temporal statistics
Published 2021“…In order to alleviate the learning difficulty, we employ several spatial partitioning patterns to encode rough spatial locations instead of exact spatial Cartesian coordinates. Our approach is inspired by the observation that human visual system is sensitive to rapidly changing contents in the visual field, and only needs impressions about rough spatial locations to understand the visual contents. …”
Journal article -
1407
Solitons and nonlinear waves along quantum vortex filaments under the low-temperature two-dimensional local induction approximation
Published 2016“…One large benefit of the approach is that the correspondence between the 2D-LIA and the WKIS allows us to systematically obtain vortex filament solutions directly in the Cartesian coordinate frame without the need to solve back from curvature and torsion. …”
Journal article -
1408
Flat electroencephalography’s cluster centers movement tracking during epileptic seizure
Published 2018“…Through fEEG, the signals can be viewed in a Cartesian plane which consists of EEG’s channels and cluster center of electrical potential during epilepsy. …”
Get full text
Conference or Workshop Item -
1409
Analysing the Stock Market as an Economic Lever, Using a Qualitative and a Quantitative Model
Published 2021-09-01“…Additionally, the quantitative method offers a strictly cartesian perspective for determining future scenarios, while the sustainable vector model, based on a fractalized vision of reality, manages to capture a plurality of perspectives, as well as the interrelationships between the determining parameters, thus being a complex system of simple equations, as opposed to the quantitative method which is defined as a simple system of complex equations.…”
Get full text
Article -
1410
Prediction Model of a Generative Adversarial Network Using the Concept of Complex Picture Fuzzy Soft Information
Published 2023-02-01“…Complex picture fuzzy soft relations are defined in this study by taking the Cartesian product of two complex picture fuzzy soft sets. …”
Get full text
Article -
1411
Stiffness Modeling and Dynamics Co-Modeling for Space Cable-Driven Linkage Continuous Manipulators
Published 2023-04-01“…Secondly, the stiffness components of the SCCM are discussed, and the stiffness modeling method of each part is given. Finally, the Cartesian space equivalent stiffness model of the end was established. …”
Get full text
Article -
1412
LPNet: Retina Inspired Neural Network for Object Detection and Recognition
Published 2021-11-01“…An encoder extracts images which feature in log-polar coordinates while a decoder eliminates image noise in cartesian coordinates. Moreover, according to the movement of center points, LPNet has stable and sliding modes. …”
Get full text
Article -
1413
Size-Dependent Free Vibration of Non-Rectangular Gradient Elastic Thick Microplates
Published 2022-12-01“…The DQ rule is extended to the straight-sided quadrilateral domain through a coordinate transformation between the natural and Cartesian coordinate systems. The Gauss–Lobato quadrature rule and DQ rule are jointly used to discretize the strain and kinetic energies of a generic straight-sided quadrilateral plate element. …”
Get full text
Article -
1414
Intelligent Calibration of a Heavy-Duty Mechanical Arm in Coal Mine
Published 2020-07-01“…It also shows the maximum absolute error (MAXE) between the actual mast end position and the nominal mast end position is reduced by more than 58.72% in the three directions of Cartesian coordinate system.…”
Get full text
Article -
1415
Linear Diophantine fuzzy graphs with new decision-making approach
Published 2022-06-01“…We analyze some interesting results that the composition of two LDF-graphs is a LDF-graph, cartesian product of two LDF-graphs is a LDF-graph, and the join of two LDF-graphs is a LDF-graph. …”
Get full text
Article -
1416
Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface
Published 2021-12-01“…The modeled phenomenon is derived in the Cartesian coordinate system under the usual boundary-layer approach proposed by Prandtl, which removes the complexity of the problem. …”
Get full text
Article -
1417
A Non-Linear Non-Planar Coupling Mechanism of Suspended Cables in Thermal Conditions
Published 2023-05-01“…Introducing a two-mode expansion and applying the multiple scale method, the polar and Cartesian forms of modulation equations are obtained. …”
Get full text
Article -
1418
Reply to Comment on ‘Physics-based representations for machine learning properties of chemical reactions’
Published 2023-01-01“…By studying several datasets that vary in the type of chemical (i.e. high-quality atom-mapping) and structural information (i.e. Cartesian coordinates of reactants and products) contained within, we illustrate that physics-based representations combined with kernel models are competitive with deep learning models. …”
Get full text
Article -
1419
The Generalized Inverse Sum Indeg Index of Some Graph Operations
Published 2022-11-01“…In this paper, we provided the bounds related to this index for some graph operations, including the Kronecker product, join, corona product, Cartesian product, disjunction, and symmetric difference. …”
Get full text
Article -
1420
Determining horizontal curvature of railway track axis in mobile satellite measurements
Published 2021-10-01“…The method is based on inclination angle changes of a moving chord in the Cartesian coordinate system. In the presented case, the variant referred to as the method of two virtual chords is applied. …”
Get full text
Article