Integral methods in science and engineering : analytic and computational procedures

Integral methods in science and engineering : analytic and computational procedures / Christian Constanda, Bardo E. J. Bodmann, Paul J. Harris, editors.

This volume contains a collection of articles on state-of-the-art developments in the construction of theoretical integral techniques and their application to specific problems in science and engineering. Chapters in this book are based on talks given at the Seventeenth International Conference on I...

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Bibliographic Details
Corporate Author: International Conference on Integral Methods in Science and Engineering
Other Authors: Constanda, C. (Christian), Bodmann, Bardo E. J., Harris, P. J. (Paul John), 1964-
Format: eBook
Language:English
Published: Cham : Birkhäuser, 2023.
Subjects:
Integral equations.
Online Access:Click for online access
Table of Contents:
  • Intro
  • Preface
  • Contents
  • Contributors
  • 1 Computational Modelling Based on RIBEM Method for the Numerical Solution of Convection-Diffusion Equations
  • 1.1 Introduction
  • 1.2 Governing Differential Equation
  • 1.3 Boundary Integral Equation
  • 1.4 Discretization
  • 1.5 Algebraic System of Equations
  • 1.6 Results and Discussions
  • 1.6.1 Example 1: Nonlinear Source Term
  • 1.6.2 Example 2: Constant Source Term
  • 1.7 Conclusions and Discussions
  • References
  • 2 Two-Operator Boundary-Domain Integral Equations for Variable-Coefficient Dirichlet Problem in 2D with General Right-Hand Side
  • 2.1 Preliminaries
  • 2.2 Parametrix-Based Potential Operators
  • 2.3 The Two-Operator Third Green Identity and Integral Relations
  • 2.4 Invertibility of Single Layer Potential Operator
  • 2.5 Two-Operator BDIE Systems for Dirichlet Problem
  • 2.5.1 BDIE System Formulation to the Dirichlet Problem
  • 2.5.2 BDIE Systems Equivalence to the Dirichlet Problem
  • 2.5.3 BDIE System Operators Invertibility for the Dirichlet Problem
  • 2.6 Conclusion
  • References
  • 3 Implementation of Thermal Effects in Neutron Interactions in a Physical Monte Carlo Simulator
  • 3.1 Introduction
  • 3.2 Implementation of Thermal Effects in Neutron Interactions
  • 3.2.1 Evaluation of Thermal Effects in Neutron Cross Sections
  • 3.3 Implementation of Thermal Effects in the Scattering Kinematics
  • 3.3.1 Evaluation of Thermal Effects on Neutron Cross Sections
  • 3.4 Comparison to Findings From the Literature
  • 3.5 Conclusion
  • References
  • 4 On the Parameter Significance in Pandemic Modelling
  • 4.1 Introduction
  • 4.2 World and South Korea Statistics and a Qualitative Simulation
  • 4.3 An Analytical Solution by the Decomposition Method
  • 4.4 Parameter Adjustment
  • 4.5 Simulations
  • 4.6 Conclusion
  • References
  • 5 On a Variational Principle for Equilibrium Free Energy Functional of Simple Liquids
  • 5.1 Introduction
  • 5.2 The Method of the Generating Functional of an Equilibrium Statistical Mechanics of Microscopic Study of Thermodynamic and Structural Parameters of SimpleLiquids
  • 5.3 Tangent Transformation of the Generating Functional: The Functional Density Variables-The Free EnergyFunctional
  • 5.4 Introduction of a Parametrizing Set of Functions in a Form of Displaced and Averaged Gaussian Functions in 3-Dimensional Space (DAGF3Ds) to Consider Lennard-Johnson Simple Liquids in Quasicrystal Approach
  • 5.5 Evaluative Calculations of Height of the 1st Structural Maximum of the Radial Distribution Function (Binary Density) by the Direct Variational Method of the Free Energy Functional
  • 5.6 Algorithms for Calculation of Multicenter Integrals Included in the Free Energy Functional
  • 5.6.1 Calculation of the Multicenter Series Diagrams Using Expansion by DAGF3D

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