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Applied mathematics and modeling for chemical engineers / / Richard G. Rice, Duong D. Do
| Applied mathematics and modeling for chemical engineers / / Richard G. Rice, Duong D. Do |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Hoboken, New Jersey, : Wiley, 2012 |
| Descrizione fisica | 1 online resource (397 p.) |
| Disciplina |
660.01519
660.284015118 660/.284/015118 |
| Altri autori (Persone) | DoDuong D |
| Collana | Wiley series in chemical engineering |
| Soggetto topico |
Differential equations
Chemical processes - Mathematical models Chemical engineering - Mathematics |
| ISBN |
9781523111268
1523111267 9781118343029 1118343026 9781283646093 1283646099 9781118343012 1118343018 |
| Classificazione |
501.1
660/.284015118 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
APPLIED MATHEMATICS AND MODELING FOR CHEMICAL ENGINEERS; Contents; Preface to the Second Edition; PART I; 1 Formulation of Physicochemical Problems; 1.1 Introduction; 1.2 Illustration of the Formulation Process (Cooling of Fluids); 1.2.1 Model I: Plug Flow; 1.2.2 Model II: Parabolic Velocity; 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; 1.6.1 The Matrix; 1.6.2 The Vector; 1.7 Types of Matrices; 1.7.1 Square Matrix; 1.7.2 Diagonal Matrix
1.7.3 Triangular Matrix1.7.4 Tridiagonal Matrix; 1.7.5 Symmetric Matrix; 1.7.6 Sparse Matrix; 1.7.7 Diagonally Dominant Matrix; 1.8 Matrix Algebra; 1.8.1 Addition and Subtraction; 1.8.2 Multiplication; 1.8.3 Inverse; 1.8.4 Matrix Decomposition or Factorization; 1.9 Useful Row Operations; 1.9.1 Scaling; 1.9.2 Pivoting; 1.9.3 Elimination; 1.10 Direct Elimination Methods; 1.10.1 Basic Procedure; 1.10.2 Augmented Matrix; 1.10.3 Pivoting; 1.10.4 Scaling; 1.10.5 Gauss Elimination; 1.10.6 Gauss-Jordan Elimination: Solving Linear Equations; 1.10.7 LU Decomposition; 1.11 Iterative Methods 1.11.1 Jacobi Method1.11.2 Gauss-Seidel Iteration Method; 1.11.3 Successive Overrelaxation Method; 1.12 Summary of the Model Building Process; 1.13 Model Hierarchy and its Importance in Analysis; Problems; References; 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; 2.3.1 Exact Solutions; 2.3.2 Equations Composed of Homogeneous Functions; 2.3.3 Bernoulli's Equation; 2.3.4 Riccati's Equation; 2.3.5 Linear Coefficients; 2.3.6 First-Order Equations of Second Degree 2.4 Solution Methods for Second-Order Nonlinear Equations2.4.1 Derivative Substitution Method; 2.4.2 Homogeneous Function Method; 2.5 Linear Equations of Higher Order; 2.5.1 Second-Order Unforced Equations: Complementary Solutions; 2.5.2 Particular Solution Methods for Forced Equations; 2.5.3 Summary of Particular Solution Methods; 2.6 Coupled Simultaneous ODE; 2.7 Eigenproblems; 2.8 Coupled Linear Differential Equations; 2.9 Summary of Solution Methods for ODE; Problems; References; 3 Series Solution Methods and Special Functions; 3.1 Introduction to Series Methods 3.2 Properties of Infinite Series3.3 Method of Frobenius; 3.3.1 Indicial Equation and Recurrence Relation; 3.4 Summary of the Frobenius Method; 3.5 Special Functions; 3.5.1 Bessel's Equation; 3.5.2 Modified Bessel's Equation; 3.5.3 Generalized Bessel's Equation; 3.5.4 Properties of Bessel Functions; 3.5.5 Differential, Integral, and Recurrence Relations; Problems; References; 4 Integral Functions; 4.1 Introduction; 4.2 The Error Function; 4.2.1 Properties of Error Function; 4.3 The Gamma and Beta Functions; 4.3.1 The Gamma Function; 4.3.2 The Beta Function; 4.4 The Elliptic Integrals 4.5 The Exponential and Trigonometric Integrals |
| Record Nr. | UNINA-9911006511103321 |
| Hoboken, New Jersey, : Wiley, 2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Fuzzy logic with engineering applications / / imothy J. Ross
| Fuzzy logic with engineering applications / / imothy J. Ross |
| Autore | Ross Timothy J. |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Chichester, West Sussex, England : , : Wiley, , 2017 |
| Descrizione fisica | 1 online resource (583 pages) : illustrations |
| Disciplina | 620.001511313 |
| Soggetto topico |
Engineering - Statistical methods
Fuzzy logic |
| ISBN |
1-119-23584-7
1-119-23585-5 |
| Classificazione |
501.1
620.001/511313 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910795822403321 |
Ross Timothy J.
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| Chichester, West Sussex, England : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fuzzy logic with engineering applications / / imothy J. Ross
| Fuzzy logic with engineering applications / / imothy J. Ross |
| Autore | Ross Timothy J. |
| Edizione | [Fourth edition.] |
| Pubbl/distr/stampa | Chichester, West Sussex, England : , : Wiley, , 2017 |
| Descrizione fisica | 1 online resource (583 pages) : illustrations |
| Disciplina | 620.001511313 |
| Soggetto topico |
Engineering - Statistical methods
Fuzzy logic |
| ISBN |
1-119-23584-7
1-119-23585-5 |
| Classificazione |
501.1
620.001/511313 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910813801803321 |
|
Ross Timothy J.
|
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| Chichester, West Sussex, England : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Practical multiscaling [[electronic resource] /] / Jacob Fish
| Practical multiscaling [[electronic resource] /] / Jacob Fish |
| Autore | Fish J (Jacob) |
| Pubbl/distr/stampa | Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2014 |
| Descrizione fisica | xiii, 398 p. : ill. (some col.) |
| Disciplina | 620.001/51 |
| Soggetto topico |
Continuum mechanics - Computer simulation
Continuum mechanics - Mathematical models Materials - Computer simulation Materials - Mathematical models Mechanical engineering - Computer simulation Mechanical engineering - Mathematical models Multiscale modeling Scaling laws (Statistical physics) |
| ISBN |
9781118534847
1118534840 |
| Classificazione |
501.1
620.001/51 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. Introduction to multiscale methods -- The rationale for multiscale computations -- The hype and the reality -- Examples and qualification of multiscale methods -- Nomenclature and definitions -- Notation -- Chapter 2. Upscaling/Downscaling of Continua -- Homogenizaton of linear heterogeneous media -- Upscaling based on enhanced kinematics -- Homogenization of nonlinear heterogeneous media -- Higher order homogenization -- Multiple-scale homogenization -- Going beyond upscaling : homogenization-based multigrid -- Chapter 3. Upscaling/Downscaling of Atomistic/Continuum Media -- Governing equations -- Generalized mathematical homogenization (GMH) -- Finite element implementation and numerical verification -- Statistical ensemble -- Verification -- Going beyond upscaling -- Chapter 4. Reduced Order Homogenization -- Reduced order homogenization for two-scale problems -- Lower order approximation of eigenstrains -- Extension to nonlocal heterogeneous media -- Extension to dispersive heterogeneous media -- Extension to multiple spatial scales -- Extension to large deformations -- Extension to multiple temporal scales with application to fatigue -- Extension to multiphysics problems -- Chapter 5. Scale-separation-free Upscaling/Downscaling of Continua -- Computational continua (C2) -- Reduced order computational continua (RC2) -- Nonlocal quadrature in multidimensions -- Model Verification -- Chapter 6. Multiscale Design Software -- Microanalysis with MDS-Lite -- Macroanalysis with MDS-Lite. |
| Record Nr. | UNINA-9910795960303321 |
|
Fish J (Jacob)
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| Chichester, West Sussex, U.K., : John Wiley & Sons Inc., 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||