State-of-the-Art of Modeling Surface Water Impoundments

The state-of-the-art of surface water impoundment modeling is examined from the viewpoints of both hydrodynamics and water quality. In the area of hydrodynamics current one dimensional integral energy and two dimensional models are discussed. In the area of water quality, the formulations used for various parameters are presented with a range of values for the associated rate coefficients.

Download Full-text

Applications of one- and two-dimensional Volterra inequalities in differential equations of the hyperbolic type

International Journal of Mathematics and Mathematical Sciences ◽

10.1155/s0161171203208073 ◽

2003 ◽

Vol 2003 (53) ◽

pp. 3373-3383

Author(s):

Lechosław Hącia

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Boundary Value Problems ◽

Hyperbolic Type ◽

Integral Inequalities ◽

Two Dimensional ◽

Volterra Type ◽

One Dimensional ◽

Dimensional Integral ◽

Hyperbolic Differential Equations

Some variants of one-dimensional and two-dimensional integral inequalities of the Volterra type are applied to study the behaviour properties of the solutions to various boundary value problems for partial differential equations of the hyperbolic type. Moreover, new types of integral inequalities for one and two variables, being a generalization of the Gronwall inequality, are presented and used in the theory of nonlinear hyperbolic differential equations.

Download Full-text

Numerical study of coupled one-dimensional and two-dimensional hydrodynamic and water quality model for complex lake and river network areas

2012 International Symposium on Geomatics for Integrated Water Resource Management ◽

10.1109/giwrm.2012.6349613 ◽

2012 ◽

Author(s):

Yinqun Yang ◽

Yonggui Wang ◽

Wanshun Zhang ◽

Jing'an Ma

Keyword(s):

Water Quality ◽

Numerical Study ◽

River Network ◽

Water Quality Model ◽

Two Dimensional ◽

Quality Model ◽

One Dimensional

Download Full-text

Modelling The Effect of Hydraulic Conductivity on One Dimensional Contaminant Transport in RBF System

MATEMATIKA ◽

10.11113/matematika.v34.n2.1044 ◽

2018 ◽

Vol 34 (2) ◽

pp. 261-269

Author(s):

Mustafa Shaymaa ◽

Zainal Abdul Aziz ◽

Arifah Bahar ◽

Mohd Khairul Nizar Shamsuddin

Keyword(s):

Water Quality ◽

Surface Water ◽

Hydraulic Conductivity ◽

Contaminant Transport ◽

Riverbank Filtration ◽

Contaminant Concentration ◽

Factors Affecting ◽

One Dimensional ◽

Natural Treatment ◽

Significant Factors

Riverbank filtration (RBF) system is a surface water technology that is based on the natural treatment of filtration instead of the use of chemicals, to pretreat surface water and provides public water supplies. Hydraulic conductivity value is one of the significant factors affecting the water quality in RBF systems.In this article, an analytical modelling is developed to investigate the effect of this parameter on one dimensional contaminant transport in RBF system. The model is solved by using Green’s function approach. The model is applied for the first RBF system conducted in Malaysia. Generally, the results show that increasing the hydraulic conductivity value lead to an increase in contaminant concentration inpumping well area.

Download Full-text

From Auto-encoders to Capsule Networks: A Survey

E3S Web of Conferences ◽

10.1051/e3sconf/202122901048 ◽

2021 ◽

Vol 229 ◽

pp. 01048

Author(s):

Omaima El Alaoui-Elfels ◽

Taoufiq Gadi

Keyword(s):

Neural Networks ◽

Learning Algorithm ◽

State Of The Art ◽

Three Dimensional ◽

Future Research ◽

Two Dimensional ◽

One Dimensional ◽

Deep Learning Algorithm ◽

New Generation ◽

Open Issues

Convolutional Neural Networks are a very powerful Deep Learning algorithm used in image processing, object classification and segmentation. They are very robust in extracting features from data and largely used in several domains. Nonetheless, they require a large number of training datasets and relations between features get lost in the Max-pooling step, which can lead to a wrong classification. Capsule Networks (CapsNets) were introduced to overcome these limitations by extracting features and their pose using capsules instead of neurons. This technique shows an impressive performance in one-dimensional, two-dimensional and three-dimensional datasets as well as in sparse datasets. In this paper, we present an initial understanding of CapsNets, their concept, structure and learning algorithm. We introduce the progress made by CapsNets from their introduction in 2011 until 2020. We compare different CapsNets series to demonstrate strengths and challenges. Finally, we quote different implementations of Capsule Networks and show their robustness in a variety of domains. This survey provides the state-of-the-art of Capsule Networks and allows other researchers to get a clear view of this new field. Besides, we discuss the open issues and the promising directions of future research, which may lead to a new generation of CapsNets.

Download Full-text

Integral equations of a rectilinear ribbon vibrator near a perfectly conducting infinite screen

Journal of Physics Conference Series ◽

10.1088/1742-6596/2052/1/012040 ◽

2021 ◽

Vol 2052 (1) ◽

pp. 012040

Author(s):

A V Sochilin ◽

S I Eminov

Keyword(s):

Integral Equation ◽

Integral Equations ◽

Current Density ◽

General Equation ◽

Numerical Calculations ◽

Two Dimensional ◽

One Dimensional ◽

Dimensional Integral

Abstract The problem of excitation of a rectilinear ribbon vibrator near a perfectly conducting infinite screen is considered. A general equation, a two-dimensional integral equation, and a one-dimensional integral equation with respect to the current density are obtained. The results of numerical calculations are presented.

Download Full-text

A one-dimensional self-gravitating stellar gas

Symposium - International Astronomical Union ◽

10.1017/s0074180900105261 ◽

1966 ◽

Vol 25 ◽

pp. 46-48 ◽

Cited By ~ 2

Author(s):

M. Lecar

Keyword(s):

Gravitational Field ◽

Phase Space ◽

Motion Picture ◽

Space Distribution ◽

Two Dimensional ◽

One Dimensional ◽

Phase Space Distribution ◽

Dimensional Phase Space ◽

The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

Download Full-text