Computational Techniques for Process Simulation and Analysis using MatLab

Content: CHAPTER 1 INTRODUCTION1.1. A GENERAL MODEL1.2. STRUCTURE OF A MATLAB CODE1.3. APPROXIMATIONS AND ERRORS IN NUMERICAL METHODS1.4. ERROR ANALYSIS1.5. PROCESS EXAMPLES: A PRELUDECHAPTER 2 LINEAR ALGEBRA2.1. INTRODUCTION2.2. VECTOR SPACES2.3. SINGULAR VALUE DECOMPOSITION2.4. EIGENVALUES AND EIGENVECTORS2.5. EPILOGUE2.6. EXERCISESCHAPTER 3 ORDINARY DIFFERENTIAL EQUATIONS: EXPLICIT METHODS3.1. GENERAL SETUP3.2. SECOND ORDER METHODS - A JOURNEY THROUGH THE WOODS3.3. HIGHER-ORDER RUNGE-KUTTA METHODS3.4. MATLAB ODE45 SOLVER: OPTIONS AND PARAMETERIZATION3.5. CASE STUDIES AND EXAMPLES3.6. EPILOGUE3.7. EXERCISESCHAPTER 4 PARTIAL DIFFERENTIAL EQUATIONS IN TIME4.1. GENERAL SETUP4.2. A BRIEF OVERVIEW OF NUMERICAL METHODS4.3. HYPERBOLIC PDE: CONVECTIVE SYSTEMS4.4. PARABOLIC PDE: DIFFUSIVE SYSTEMS4.5. CASE STUDIES AND EXAMPLES4.6. EPILOGUE4.7. EXERCISESCHAPTER 5 SECTION WRAP-UP: SIMULATION AND ANALYSIS5.1. BINARY DISTILLATION COLUMN: STAGED ODE MODEL5.2. STABILITY ANALYSIS FOR LINEAR SYSTEMS5.3. COMBINED PARABOLIC PDE WITH ODE-IVP: POLYMER CURING5.4. TIME VARYING INLET CONDITIONS AND PROCESS DISTURBANCES5.5. SIMULATING SYSTEM WITH BOUNDARY CONSTRAINTS5.6. WRAP-UP5.7. EXERCISESCHAPTER 6 NONLINEAR ALGEBRAIC EQUATIONS6.1. GENERAL SETUP6.2. EQUATIONS IN SINGLE VARIABLE6.3. NEWTON-RAPHSON: EXTENSIONS AND MULTI-VARIATE6.4. MATLAB SOLVERS6.5. CASE STUDIES AND EXAMPLES6.6. EPILOGUE6.7. EXERCISESã  ã  CHAPTER 7 SPECIAL METHODS FOR LINEAR AND NONLINEAR EQUATIONS7.1. GENERAL SETUP7.2. TRI-DIAGONAL AND BANDED SYSTEMS7.3. ITERATIVE METHODS7.4. NONLINEAR BANDED SYSTEMS7.5. EXAMPLES7.6. EPILOGUE7.7. EXERCISESCHAPTER 8 IMPLICIT METHODS: DIFFERENTIAL AND DIFFERENTIAL ALGEBRAIC SYSTEMS8.1. GENERAL SETUP8.2. MULTI-STEP METHODS FOR DIFFERENTIAL EQUATIONS8.3. IMPLICIT SOLUTIONS FOR DIFFERENTIAL EQUATIONS8.4. DIFFERENTIAL ALGEBRAIC EQUATIONS (DAES)8.5. CASE STUDIES AND EXAMPLES8.6. EPILOGUE8.7. EXERCISESCHAPTER 9 SECTION WRAP-UP: NONLINEAR ANALYSIS9.1. NONLINEAR ANALYSIS OF CHEMOSTAT: "TRANSCRITICAL" BIFURCATION9.2. NON-ISOTHERMAL CSTR: "TURNING-POINT" BIFURCATION9.3. LIMIT CYCLE OSCILLATIONS9.4. SIMULATION OF METHANOL SYNTHESIS IN TUBULAR REACTOR9.5. TRAJECTORY OF A CRICKET BALL9.6. EXERCISESCHAPTER 10 REGRESSION AND PARAMETER ESTIMATION10.1. GENERAL SETUP10.2. LINEAR LEAST-SQUARES REGRESSION10.3. REGRESSION IN MULTIPLE VARIABLES10.4. NONLINEAR ESTIMATION10.5. CASE STUDIES AND EXAMPLES10.6. EPILOGUE10.7. EXERCISES