Theory and Practice of Mathematics and Computer Science Vol. 5
Synopsis
This book covers key areas of mathematics and computer science. The contributions by the authors include Navier-Stokes equation, fluid dynamics, fluid flow, Skew-symmetric form, non-identical relation, degenerate transformation, transition from the non-integrable manifolds to the integrable structures, turbulence; cross-correlation, relative phase velocity, nonlinear optimal control; output error, model-reality differences, iterative solution, stochastic approximation, coupled tanks system, model-reality differences, Series method, numerical solutions, parabolic initial boundary value problems, Numerical solutions of ODE's, perturbed and damped oscillators, initial value problems, target tracking, fuzzy logic, radar prediction trajectory, Pseudo-spherical Surface, negative curvature, geometric notion, quasi-linearization method. This book contains various materials suitable for students, researchers and academicians in the field of mathematics and computer science.
Chapters
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Chapter 1Novel Analytical Molecular Dynamics Technique for Solving Fluid Dynamics Problems
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Chapter 2Investigating Spontaneous Emergence of Physical Structures and Observable Formations: Fluctuations, Waves, Turbulent Pulsations and So on
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Chapter 3Application of Fourier Transform-based Cross-correlation in Determining Breaking Water Wave Phase Velocity from Station-to-Station Free Surface Elevation Time Series
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Chapter 4Study on Discrete-Time Nonlinear Stochastic Optimal Control Problem Based on Stochastic Approximation Approach
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Chapter 5Emphasizing an Expanded Optimal Control Policy for a Coupled Tanks System with Random Disturbance
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Chapter 6Investigating the G-Functions Series Method Adapted to the Numerical Integration of Parabolic PDE
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Chapter 7Assessing the Numerical Integration of Forced and Damped Oscillators through a New Multistep Method
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Chapter 8Development of a New Fuzzy Logic Based Algorithm for Tracking Targets
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Chapter 9Pseudo-spherical Surfaces of a Constant Negative Curvature
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Chapter 10Numerical Analysis of Free Convection of Viscoelastic Fluid from a Cone Embedded in a Porous Medium with Viscous Dissipation