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Numerical Integration Methods
During this chapter, the topic of numerical integration methods is discussed. As the inverse operation of a derivative, the integration methods are...
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Numerical Solutions
In this chapter we are going to review several cases of numerical solutions applied to Plug and Abandonment Cases. In Sect. 7.1 Heat Transfer in a...
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Numerical Case Studies
As the first numerical example, wave propagation in an infinite stepped bar of the circular cross-section is considered. It is assumed that only...
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Numerical Differentiation Methods
During this chapter, the topic of numerical differentiation methods is discussed. Obtaining the derivative of a function is undoubtedly one of the...
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Numerical Methods
In previous chapters analytical solution techniques to both ordinary and partial differential equations were presented. More often than not, problems...
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Numerical Simulation of Three-Dimensional Simple Floating Body in Numerical Wave Tank
In the field of ship and ocean engineering, numerical simulation of wave environments is an important method. This paper establishes a...
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Numerical Solutions of Nonlinear FODEs
Analytical solution methods for linear FODEs were given in Chap. 6. High-precision numerical algorithms for Riemann–Liouville and Caputo differential...
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Microwave Numerical Solutions
This book provides rigorous mathematical models to enable understanding of the propagation characteristics of electromagnetic fields. The author also...
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Numerical Solution Methods
In the previous chapter, we have derived 1D models for blood flow and transport processes using Reynold’s transport theorem and averaging operations....
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Numerical Example
In this chapter, we present a numerical example of the approach presented in the previous chapters based on modifications of small-scale standard...
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Analytical and Numerical Analyses
This chapter is dedicated to modelling approaches for Tesla turbines. Initially, the main analytical approaches applicable to Tesla turbine rotors...
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Fundamentals of Numerical Optimization
This chapter summarizes fundamentals of numerical optimization. The material covered here is not supposed to be a systematic and exhaustive...
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Numerical Results and Discussion
The following qualitative and quantitative comparisons are made between the numerical models developed and the experimental results presented in...
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Numerical Simulation of Fusion Welding Processes
This chapter is dedicated entirely to the numerical simulation of fusion welding processes. Initially, it introduces numerical simulation by...
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Quantifying numerical uncertainty in background-oriented schlieren
Our study presents and evaluates a method for computing the numerical uncertainty in background-oriented schlieren (BOS). We use Richardson...
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Numerical Integration
When computing the element stiffness matrix and the load vector, an important part is the solution of integrals like.
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Preparative Knowledge of Numerical Analysis
This chapter is devoted to provide the basic knowledge of numerical analysis for the elaboration and discussion of following chapters concerning...
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Numerical Wave Tank Simulation and Validation
Numerical wave tank (NWT) has an important application in the field of ship and ocean engineering, and many complicated hydrodynamic problems are...
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Piecewise Modeling Algorithms Using Numerical Data
In this study, a novel piecewise modeling method was devised using numerical data. The piecewise model was represented as a rectangular region...
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Numerical simulation of COSMOS 2499 fragmentation
In-space satellites fragmentation events contribute to the continuous growth of man-made debris. Observations of these events can provide limited...
