Numerical methods for differential systems : recent developments in algorithms, software, and applications /

Numerical Methods for Differential Systems.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: American Institute of Chemical Engineers
Otros Autores: Lapidus, Leon, Schiesser, W. E.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Academic Press, 1976.
Temas:
Differential equations > Numerical solutions > Data processing.
Differential equations, Partial > Numerical solutions > Data processing.
�Equations diff�erentielles > Solutions num�eriques > Informatique.
�Equations aux d�eriv�ees partielles > Solutions num�eriques > Informatique.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential equations > Numerical solutions > Data processing
Differential equations, Partial > Numerical solutions > Data processing
Congress
proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congr�es.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Front Cover; Numerical Methods for Differential Systems: Recent Developments in Algorithms, Software, and Applications; Copyright Page; Table of Contents; List of Contributors; Preface; Chapter 1. High-Order A-Stable Averaging Algorithmsfor Stiff Differential Systems; REFERENCES; Chapter 2. Second Derivative Multistep FormulasBased on g-Splines; 1. INTRODUCTION; 2. NOTATION AND DEFINITIONS; 3. CONSTRUCTION OF FORMULAS; 4. COMPARISONS OF FORMULAS; 5. SUMMARY AND CONCLUSIONS; REFERENCES; Chapter 3. Numerical Integration of LinearizedStiff Ordinary Differential Equations; 1. INTRODUCTION
  • 2. THE NUMERICAL METHOD3. APPLICATIONS; 4. TEST RESULTS; 5. CONCLUSIONS; REFERENCES; Chapter 4. Comparing Numerical Methods for the Solution of Stiff Systems of ODEs Arisingin Chemistry; 1. INTRODUCTION; 2. TESTING NUMERICAL METHODS; 3. RESULTS AND RECOMMENDATIONS; REFERENCES; Appendix: Specification of Test Problems; Chapter 5. On the Construction of Differential Systems for the Solution of Nonlinear Algebraic and Transcendental Systems of Equations; 1. INTRODUCTION; 2. A GLOBAL ASYMPTOTIC STABILITY THEOREM; 3. DIFFERENTIAL METHODS LIMITED TO INVERTIBLE SYSTEMS
  • 4. DIFFERENTIAL METHODS FOR NON-INVERTIBLE SYSTEMS5. EXAMPLES AND CONVERGENCE RATES; REFERENCES; Chapter 6. Differential Procedures for Systems of Implicit Relations and Implicitly Coupled Nonlinear Boundary-ValueProblems; 1. INTRODUCTION AND PRELIMINARY CONSIDERATIONS; 2. GENERATION OF A SOLUTION ON A GRID IN; 3. GENERATION OF THE STARTING VALUES FOR THE GRID; 4. MULTIPLE BRANCH SOLUTIONS; 5. NONLINEAR BOUNDARY VALUE PROBLEMS WITH IMPLICIT COUPLING; REFERENCES; Chapter 7. Numerical Solution of Large Systems of Stiff Ordinary Differential Equationsin a Modular Simulation Framework
  • 1. INTRODUCTION2. NUMERICAL SOLUTION OF STIFF O.D.E.S.; 3. NUMERICAL SOLUTION OF SPARSE LINEAR ALGEBRAIC EQUATIONS; 4. NUMERICAL TESTING OF STIFF TECHNIQUES; 5. THE DYNSYS 2.0 EXECUTIVE PROGRAM; 6. EPILOGUE; APPENDIX A: TEST EXAMPLES; APPENDIX B: GEAR'S METHOD; REFERENCES; Chapter 8. FAST: A Translator for the Solution of Stiff and NonlinearDifferential and Algebraic Equations; 1. INTRODUCTION; 2. MATHEMATICAL CONDITIONS; 3. FAST TRANSLATOR; 4. THE NON-LINEARITIES; 5. DESCRIPTION OF THE TRANSLATOR'S OPERATION; 6. EXAMPLES; CONCLUSIONS; BIBLIOGRAPHY; ACKNOWLEDGEMENTS
  • Chapter 9. Applications of EPISODE: An Experimental Package for the Integration of Systems of Ordinary Differential Equations1. Introduction; 2. Examples; 3. Package Description; REFERENCES; Chapter 10. SETKIN: A Chemical Kenetics Preprocessor Code; 1. INTRODUCTION; 2. EXAMPLE; 3. QKCALC(Qk (t) calculation); 4. BUSTER (Rate equation construction); 5. DIFFUN (Differential Equation Function); 6. PEDERV: (Jacobian Calculation); 7. SENSIT: (Sensitivity Analysis); REFERENCES; Chapter 11. Numerical Methods for Mass Action Kinetics; 1. INTRODUCTION

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