Tipo: Libro impreso / Print book
Encuadernación / Binding: Tapa blanda / Paperback
Tamaño / Size: 17 x 24 cm
Páginas / Pages: 112
Resumen / Summary:
Autor / Author: Carlos Daniel Acosta, Carlos Enrique Mejía
Editorial / Publisher: Universidad Nacional de Colombia
Entrega / Delivery : Nacional / International
Envio desde / Ships from: Colombia
Condición / Condition: Nuevo / New
Tabla de contenido / Table of contents: List of Tables
List of Figures
Nomenclature
Acknowledgements
Foreword
Abstract
Chapter 1
Overview
1.1 Discrete Mollification
1.2 Mollification Weights
1.3 Consistency, Stability and Convergence
1.4 Thinking About Nonlinearity
1.5 Boundary Conditions
1.5.1 Zero Padding Boundary Condition
1.5.2 Scaled Boundary Condition
1.5.3 Periodic Boundary Condition
1.5.4 Boundary Condition by Reflection
1.6 Parameter Selection
1.7 Nonlinear Operator
1.8 Looking Back
1.9 Concluding Remarks
Chapter 2
Convection dominated diffusive problems
2.1 The Basic Scheme
2.2 Two Mollified Explicit Schemes
2.2.1 Stability
2.2.2 Consistency
2.3 Numerical Experiments
2.4 Concluding Remarks
Chapter 3
Conservation laws
3.1 Mollified Lax-Friedrichs Schemes (MLxF)
3.1.1 Consistency of Mollified Schemes
3.1.2 Linear Stability Analysis
3.2 Mollified Nessyahu-Tadmor (MNT) Schemes
3.2.1 Methods MNT1 and MNT2
3.2.2 Method MNT3
3.3 Numerical Experiments
3.4 Concluding Remarks
Chapter 4
Nonllnear and degenerate diffusive problems
4.1 Mollified Operator Splitting
4.1.1 The Diffusion Step
4.1.2 The Operator Splitting Method
4.1.3 The Nonlinear Convection-Diffusion Equation
4.1.4 Implementation
4.1.5 Numerical Experiments
4.1.6 Concluding Remarks
4.2 Strongly Degenerate Parabolic Equations
4.2.1 The Schemes
4.2.2 Example: Sedimentation
4.3 Concluding Remarks
Chapter 5
System identification
5.1 A Diffusion Coefficient
5.1.1 Direct Problem
5.1.2 Inverse Problem
5.2 Numerical Algorithms
5.2.1 Coefficient K(x,u) = 1 +a(x)u2
5.2.2 CoefficientK(x,u)=a(x)+u2
5.3 Numerical Experiments
5.4 Strongly Degenerate Parabolic Equations
5.5 Para meter Identification
5.6 Discretization of the Inverse Problem
5.7 Numerical Experiments
5.8 Concluding Remarks
Chapter 6
Literature review
6.1 System Identification
6.1.1 Source Terms in a 1-D IHCP
6.1.2 Source Terms in a 2-D IHCP
6.1.3 Parameters in a Transport Equation
6.1.4 Parameters in a Drying System
6.2 Fractional Calculus
6.2.1 Caputo Fractional Derivatives
6.2.2 Source Term Identification in a TFDE
6.3 Multiscale Analysis
6.4 Concluding Remarks
Bibliography
Index
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