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Applied mathematics and modeling for chemical engineers / Richard G. Rice, Duong D. Do
Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Publisher: Hoboken, New Jersey : Wiley, [2012]Edition: 2nd ed (Online-Ausg.)Description: Online-Ressource (1 online resource (xii, 383 p.))ISBN:- 9781283646093
- 1283646099
- 9781118343012
- 660.0151
- 660/.284015118 23
- QA371
Contents:
PPN: PPN: 790346028Package identifier: Produktsigel: ZDB-26-MYL
""Title Page""; ""Copyright""; ""Preface to the Second Edition""; ""Part I""; ""Chapter 1: Formulation of Physicochemical Problems""; ""1.1 Introduction""; ""1.2 Illustration of the Formulation Process (Cooling of Fluids)""; ""1.3 Combining Rate and Equilibrium Concepts (Packed Bed Adsorber)""; ""1.4 Boundary Conditions and Sign Conventions""; ""1.5 Models with Many Variables: Vectors and Matrices""; ""1.6 Matrix Definition""; ""1.7 Types of Matrices""; ""1.8 Matrix Algebra""; ""1.9 Useful Row Operations""; ""1.10 Direct Elimination Methods""; ""1.11 Iterative Methods""
""1.12 Summary of the Model Building Process""""1.13 Model Hierarchy and its Importance in Analysis""; ""References""; ""Chapter 2: Solution Techniques for Models Yielding Ordinary Differential Equations""; ""2.1 Geometric Basis and Functionality""; ""2.2 Classification of ODE""; ""2.3 First-Order Equations""; ""2.4 Solution Methods for Second-Order Nonlinear Equations""; ""2.5 Linear Equations of Higher Order""; ""2.6 Coupled Simultaneous ODE""; ""2.7 Eigenproblems""; ""2.8 Coupled Linear Differential Equations""; ""2.9 Summary of Solution Methods for ODE""; ""References""
""Chapter 3: Series Solution Methods and Special Functions""""3.1 Introduction to Series Methods""; ""3.2 Properties of Infinite Series""; ""3.3 Method of Frobenius""; ""3.4 Summary of The Frobenius Method""; ""3.5 Special Functions""; ""References""; ""Chapter 4: Integral Functions""; ""4.1 Introduction""; ""4.2 The Error Function""; ""4.3 The Gamma and Beta Functions""; ""4.4 The Elliptic Integrals""; ""4.5 The Exponential and Trigonometric Integrals""; ""References""; ""Chapter 5: Staged-Process Models: The Calculus of Finite Differences""; ""5.1 Introduction""
""5.2 Solution Methods for Linear Finite Difference Equations""""5.3 Particular Solution Methods""; ""5.4 Nonlinear Equations (Riccati Equation)""; ""References""; ""Chapter 6: Approximate Solution Methods for ODE: Perturbation Methods""; ""6.1 Perturbation Methods""; ""6.2 The Basic Concepts""; ""6.3 The Method of Matched Asymptotic Expansion""; ""6.4 Matched Asymptotic Expansions for Coupled Equations""; ""References""; ""Part II""; ""Chapter 7: Numerical Solution Methods (Initial Value Problems)""; ""7.1 Introduction""; ""7.2 Type of Method""; ""7.3 Stability""; ""7.4 Stiffness""
""7.5 Interpolation and Quadrature""""7.6 Explicit Integration Methods""; ""7.7 Implicit Integration Methods""; ""7.8 Predictorâ€"Corrector Methods and Rungeâ€"Kutta Methods""; ""7.9 Rungeâ€"Kutta Methods""; ""7.10 Extrapolation""; ""7.11 Step Size Control""; ""7.12 Higher Order Integration Methods""; ""References""; ""Chapter 8: Approximate Methods for Boundary Value Problems: Weighted Residuals""; ""8.1 The Method of Weighted Residuals""; ""8.2 Jacobi Polynomials""; ""8.3 Lagrange Interpolation Polynomials""; ""8.4 Orthogonal Collocation Method""
""8.5 Linear Boundary Value Problem: Dirichlet Boundary Condition""
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