Numerical methods for chemical engineering : applications in Matlab
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre papier |
| Lingua: | Anglais |
| Pubblicazione: |
Cambridge ; New York :
Cambridge University Press
cop. 2007.
|
| Soggetti: | |
| Nota: |
Informations supplémentaires (solutions aux problèmes, programmes Matlab, tutoriels...) disponible en ligne. Table des matières. http://www.loc.gov/catdir/enhancements/fy0619/2006303066-t.html |
| Autres localisations: | Voir dans le Sudoc |
| LEADER | 06124nam a22002417a 4500 | ||
|---|---|---|---|
| 001 | 255194 | ||
| 008 | 080617t20072007xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN124888828 | ||
| 020 | |a 9780521859714 (rel.) | ||
| 020 | |a 0521859719 (rel.) | ||
| 041 | 0 | |a eng | |
| 082 | |a 660.0151 | ||
| 100 | 1 | |a Beers, Kenneth J. | |
| 245 | 1 | 0 | |a Numerical methods for chemical engineering : |b applications in Matlab |c Kenneth J. Beers. |
| 260 | |a Cambridge ; |a New York : |b Cambridge University Press, |c cop. 2007. | ||
| 300 | |a 1 vol. (XI-474 p.) : |b ill., couv. ill en coul. ; |c 26 cm. | ||
| 500 | |a Informations supplémentaires (solutions aux problèmes, programmes Matlab, tutoriels...) disponible en ligne. | ||
| 500 | |a Table des matières. http://www.loc.gov/catdir/enhancements/fy0619/2006303066-t.html | ||
| 504 | |a Bibliogr. p. 461-463. Index | ||
| 505 | 0 | |a 1 Linear algebra -- Linear systems of algebraic equations -- Review of scalar, vector, and matrix operations -- Elimination methods for solving linear systems -- Existence and uniqueness of solutions -- The determinant -- Matrix inversion -- Matrix factorization -- Matrix norm and rank -- Submatrices and matrix partitions -- Example. Modeling a separation system -- Sparse and banded matrices -- MATLAB summary -- Problems -- 2 Nonlinear algebraic systems -- Existence and uniqueness of solutions to a nonlinear algebraic equation -- Iterative methods and the use of Taylor series -- Newton s method for a single equation -- The secant method -- Bracketing and bisection methods -- Finding complex solutions -- Systems of multiple nonlinear algebraic equations -- Newton s method for multiple nonlinear equations -- Estimating the Jacobian and quasi-Newton methods -- Robust reduced-step Newton method -- The trust-region Newton method -- Solving nonlinear algebraic systems in MATLAB -- Example. 1-D laminar flow of a shear-thinning polymer melt -- Homotopy -- Example. Steady-state modeling of a condensation polymerization reactor -- Bifurcation analysis -- MATLAB summary -- Problems -- 3 Matrix eigenvalue analysis -- Orthogonal matrices -- A specific example of an orthogonal matrix -- Eigenvalues and eigenvectors defined -- Eigenvalues/eigenvectors of a 2 x 2 real matrix -- Multiplicity and formulas for the trace and determinant -- Eigenvalues and the existence/uniqueness properties of linear systems -- Estimating eigenvalues; Gershgorin s theorem -- Applying Gershgorin s theorem to study the convergence of iterative linear solvers -- Eigenvector matrix decomposition and basis sets -- Numerical calculation of eigenvalues and eigenvectors in MATLAB -- Computing extremal eigenvalues -- The QR method for computing all eigenvalues -- Normal mode analysis -- Relaxing the assumption of equal masses -- Eigenvalue problems in quantum mechanics -- Single value decomposition SVD -- Computing the roots of a polynomial -- MATLAB summary -- Problems -- 4 Initial value problems -- Initial value problems of ordinary differential equations (ODE-IVPs) -- Polynomial interpolation -- Newton Cotes integration -- Gaussian quadrature -- Multidimensional integrals -- Linear ODE systems and dynamic stability -- Overview of ODE-IVP solvers in MATLAB -- Accuracy and stability of single-step methods -- Stiff stability of BDF methods -- Symplectic methods for classical mechanics -- Differential-algebraic equation (DAE) systems -- Parametric continuation -- MATLAB summary -- Problems -- 5 Numerical optimization -- Local methods for unconstrained optimization problems -- The simplex method -- Gradient methods -- Newton line search methods -- Trust-region Newton method -- Newton methods for large problems -- Unconstrained minimizer fminunc in MATLAB -- Example. Fitting a kinetic rate law to time-dependent data -- Lagrangian methods for constrained optimization -- Constrained minimizer fmincon in MATLAB -- Optimal control -- MATLAB summary -- Problems -- 6 Boundary value problems -- BVPs from conservation principles -- Real-space vs. function-space BVP methods -- The finite difference method applied to a 2-D BVP -- Extending the finite difference method -- Chemical reaction and diffusion in a spherical catalyst pellet -- Finite differences for a convection/diffusion equation -- Modeling a tubular chemical reactor with dispersion; treating multiple fields -- Numerical issues for discretized PDEs with more than two spatial dimensions -- The MATLAB 1-D parabolic and elliptic solver pdepe -- Finite differences in complex geometries -- The finite volume method -- The finite element method (FEM) -- FEM in MATLAB -- Further study in the numerical solution of BVPs -- MATLAB summary -- Problems -- 7 Probability theory and stochastic simulation -- The theory of probability -- Important probability distributions -- Random vectors and multivariate distributions -- Brownian dynamics and stochastic differential equations (SDEs) -- Markov chains and processes; Monte Carlo methods -- Genetic programming -- MATLAB summary -- Problems -- 8 Bayesian statistics and parameter estimation -- General problem formulation -- Example. Fitting kinetic parameters of a chemical reaction -- Single-response linear regression -- Linear least-squares regression -- The Bayesian view of statistical inference -- The least-squares method reconsidered -- Selecting a prior for single-response data -- Confidence intervals from the approximate posterior density -- MCMC techniques in Bayesian analysis -- MCMC computation of posterior predictions -- Applying eigenvalue analysis to experimental design -- Bayesian multi response regression -- Analysis of composite data sets -- Bayesian testing and model criticism -- Further reading -- MATLAB summary -- Problems -- 9 Fourier analysis -- Fourier series and transforms in one dimension -- 1-D Fourier transforms in MATLAB -- Convolution and correlation -- Fourier transforms in multiple dimensions -- Scattering theory -- MATLAB summary -- Problems | |
| 630 | |a MATLAB |n logiciel | ||
| 650 | |a Génie chimique |x Mathématiques | ||
| 997 | |0 255194 |1 Livre papier |a Ressource papier |b INSA |c 0/Bourges/ |c 1/Bourges/INSA CVL/ |z Bourges, INSA CVL, 660.2 BEE | ||