Basic Equations and Numerical Methods

2010 ◽  
pp. 117-125
Author(s):  
Liudmila Ya. Banakh ◽  
Mark L. Kempner
Keyword(s):  
Numerical Methods ◽  
Basic Equations

The equilibria and evolutions of magnetized, rotating, isothermal clouds. I - Basic equations and numerical methods

1988 ◽  
Vol 326 ◽  
pp. 208 ◽  
Author(s):  
Kohji Tomisaka ◽  
Satoru Ikeuchi ◽  
Takashi Nakamura
Keyword(s):  
Numerical Methods ◽  
Basic Equations

scholarly journals MATHEMATICAL MODELING OF MICROORGANISM GROWTH (ANALYTICAL APPROACH)

2021 ◽  
Vol 12 (2) ◽  
Author(s):  
Mikhail Vladimirovich Glagolev
Keyword(s):  
Mathematical Modeling ◽  
Numerical Methods ◽  
Analytical Approach ◽  
Approximate Solutions ◽  
60Th Anniversary ◽  
General Theme ◽  
10Th Grade ◽  
Depth Study ◽  
Basic Equations ◽  
Kinetics Of

This work is a report "Mathematical modeling of the growth of microorganisms", written at the suggestion of the teacher of mathematics L.S. Akinfieva in 1982, when the author was a student of the 10th grade of a specialized (with in-depth study of biology) school No. 11 in Moscow. All students of this class were asked to write reports (as a "gift for the 60th anniversary of the USSR") within the framework of the general theme "Mathematics in my future profession." The report contains the basic equations of the kinetics of growth and dying of microorganisms, as well as their consumption of a nutrient substrate (Malthus, Monod's equations, Herbert's model). In addition to the equations of microbiological kinetics themselves, some methods of obtaining their approximate solutions in the form of explicit functions (without using numerical methods) are demonstrated.

Acoustical Dispersion in Periodic Microwave Structures

1975 ◽  
Vol 53 (4) ◽  
pp. 360-371 ◽  
Author(s):  
O. A. Aboul-Atta ◽  
E. Tomchuk
Keyword(s):  
Numerical Methods ◽  
Numerical Procedure ◽  
Frequency Dispersion ◽  
Design Parameters ◽  
Variational Theory ◽  
Microwave Structures ◽  
Basic Equations ◽  
High Degree ◽  
Operational Modes ◽  
Special Curve

The theory, the design, and the numerical results relevant to the acoustical frequency dispersion band of periodic microwave structures are discussed. Experimental Brillouin diagrams for the acoustical band of different structures exhibit a neat fitting to a special curve. This curve coincides with the qualitative analysis of resonators chain coupled (distant coupling included) together both capacitively and inductively. Discrete points on the curve are obtained analytically using the variational theory. Those points which correspond to the eigenvalues of only one period of the structure are analyzed and explained in terms of boundary conditions. Numerical methods for calculating these eigenvalues to a high degree of accuracy are either already available or can easily be programed. These programs are easily modified so that various other design parameters may be evaluated simultaneously. The basic equations are derived and the appropriate technique developed for a model of distant coupling up to the second neighbor. Comments on the numerical procedure, on the accuracy, and on the practicality of the different operational modes are given.

Numerical Methods

2019 ◽  
Author(s):  
Rajesh Kumar Gupta
Keyword(s):  
Numerical Methods

THE METHODS OF DEVELOPING COMPUTATIONAL THINKING OF STUDENTS WHILE STUDYING THE COURSE "NUMERICAL METHODS" BASED ON BLENDED LEARNING

2019 ◽  
pp. 34-41
Author(s):  
M. M. Klunnikova
Keyword(s):  
Numerical Methods ◽  
Blended Learning ◽  
Computational Thinking ◽  
Individual Characteristics ◽  
Diagnostic Model ◽  
Mathematics Students ◽  
Professional Activities ◽  
Cognitive Component ◽  
Professional Field ◽  
The Individual

The work is devoted to the consideration of improving the quality of teaching students the discipline “Numerical methods” through the development of the cognitive component of computational thinking based on blended learning. The article presents a methodology for the formation of computational thinking of mathematics students, based on the visualization of algorithmic design schemes and the activation of the cognitive independence of students. The characteristic of computational thinking is given, the content and structure of computational thinking are shown. It is argued that a student with such a mind is able to manifest himself in his professional field in the best possible way. The results of the application of the technique are described. To determine the level of development of the cognitive component of computational thinking, a diagnostic model has been developed based on measuring the content, operational and motivational components. It is shown that the proposed method of developing computational thinking of students, taking into account the individual characteristics of students’ thinking, meaningfully based on the theoretical and practical aspects of studying the discipline, increases the effectiveness of learning the course “Numerical methods”. The materials of the article are of practical value for teachers of mathematical disciplines who use information and telecommunication technologies in their professional activities.

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