Closer Look at the Heat Equation

Bibliographic Details
Call Number:Libro Electrónico
Format: Electronic eBook
Language:Inglés
Published: Novinka, 2020.
Series:Mathematics Research Developments Ser.
Subjects:
Heat equation.
Online Access:Texto completo
Table of Contents:
  • Intro
  • A CLOSER LOOK ATTHE HEAT EQUATION
  • A CLOSER LOOK ATTHE HEAT EQUATION
  • CONTENTS
  • PREFACE
  • Chapter 1 HIGH ORDER ACCURATE NUMERICAL SOLUTION OF THE HEAT EQUATION
  • Abstract
  • 1. INTRODUCTION
  • 2. EVALUATION OF VOLUME AND SURFACE INTEGRALS
  • 2.1. Evaluation of Volume Integrals
  • 2.2. Evaluation of Surface Integral
  • 3. SOLUTION OF MODIFIED HELMHOLTZAND HEAT EQUATIONS
  • 3.1. Modified Helmholtz Equation
  • 3.2. Heat Equation
  • 3.2.1. Mesh Refinement
  • 4. NUMERICAL EXPERIMENTS
  • Acknowledgments
  • CONCLUSION
  • REFERENCES
  • Chapter 2IMPLEMENTATION OF PARALLELALGORITHM FOR HEAT EQUATION USINGCUDA, SKELGIS LIBRARY AND SISAL
  • Abstract
  • 1. INTRODUCTION
  • 2. RELATED WORK
  • 3. MATHEMATICAL MODELING
  • 4. IMPLEMENTATIONS
  • 4.1. CUDA
  • 4.2. SISAL
  • 4.3. SkelGIS Library
  • 5. EVALUATION
  • CONCLUSION
  • REFERENCES
  • Chapter 3ON THE BESSEL HEAT EQUATIONIN N-DIMENSIONAL RELATEDTO DIAMOND BESSEL OPERATOR
  • Abstract
  • 1. INTRODUCTION
  • 2. PRELIMINARIES
  • 3. MAIN RESULTS
  • ACKNOWLEDGMENTS
  • REFERENCES
  • Chapter 4ON THE MIXED OPERATOR FOR SOLVINGNONLINEAR DIAMOND HEAT EQUATION
  • Abstract
  • 1. INTRODUCTION
  • 2. PRELIMINARIES
  • 3. MAIN RESULTS
  • ACKNOWLEDGMENTS
  • REFERENCES
  • INDEX
  • Blank Page

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