), 1977, Statistical Mechanics. ), Proc. Starting from a discussion of linear systems as the basic computational unit in scientific computing, methods for solving sets of nonlinear algebraic equations, ordinary differential equations, and differential-algebraic (DAE) systems are presented. Physica D 47, Chen, S.; Dawson, S.P., Doolen, G.D., Janecky, D.R. Your use of the MIT OpenCourseWare site and materials is subject to our Creative Commons License and other terms of use. (accepted), Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.M. and Teller, E., 1953, J. Chem. Numerical Methods with Chemical Engineering Applications Kevin D. Dorfman , Prodromos Daoutidis Designed primarily for undergraduates, but also graduates and practitioners, this textbook integrates numerical methods and programming with applications from chemical engineering. You can write a book review and share your experiences. and Sahinidis, N.V., 1995, Computers Chem. Chem. (Eds. Oxford University Press, Oxford, Allen, M.P., Tildesley, D.J., 1993, Computer Simulation of Liquids. Phys. 19, 617, Watson, L.T., Billupps, S.C. and Morgan, A.P., 1987, ACM Trans. 10, 237, Duran, M. A. and Grossmann, I.E., 1986, Math. Math. 5, 123, Biegler, L.T. See related courses in the following collections: Kenneth Beers. (Eds. John Wiley, New York, Heermann, D.W., 1986, Computational Simulation Methods in Theoretical Physics. 10) 3 (= xApplication of r-k method in chemical engineeringThe Runge-Kutta Method is a commonly used numerical method for solving 1st-order ordinarydifferential equations (ODEs) with a known initial condition. The implementation of numerical methods in MATLAB is integrated within each chapter and numerous examples in chemical engineering are provided, with a library of corresponding MATLAB programs. Springer-Verlag, Heidelberg, Schiesser, W.E., 1994, Computational Mathematics in Engineering and Applied Science: ODE, DAEs, and PDEs. 19, 1019, Bachmann, R., Brail, L., Mrziglod, Th. ): Scientific Computing. The Johns Hopkins University Press, Baltimore, Axelsson, O., 1994, Iterative Solution Methods. ), 189, Scientific Computing in Chemical Engineering, https://doi.org/10.1007/978-3-642-80149-5_11. ), Unger, J., Kroner, A. and Marquardt, W., 1995, Computers chem. 36, 307, Fletcher, R. and Leyffer, S., 1994, Math. Chemical Engineering Numerical methods in chemical engineering deal with a broad range of problems starting from calculations on atomic or molecular level to the optimization of complete chemical plants. MATLAB codes are developed from scratch, and their implementation is explained in detail, all while assuming limited programming knowledge. 66, 327, Quesada, I. and Grossmann, I.E., 1992, Computers Chem. 16, 57, Michelsen, M.L., 1980, Fluid Phase Equil. 78 (No. and Malinauskas, A.P., 1983, Gas Transport in Porous Media: The Dusty- Gas Model. 3. Prog. (Ed. Fall 2015. From an engineer’s point of view, we will expound the following subjects: These keywords were added by machine and not by the authors. On Found. Seader, J.D., Kuno, M., Lin, W.-J., Johnson, S.A., Unsworth, K. and Wiskin, J.W., 1990, Computers Chem. SIAM, Philadelphia, Stauffer, D. and Aharony, A., 1992, Introduction to Percolation Theory. Comput. and Pallaske, U., 1990, Computers Chem. Eng. New York, Ames, W.F., 1992, Numerical Methods for Partial Differential Equations, Academic Press, New York (3rd Ed. Appl. This summer school brought together experts in different disciplines to exchange ideas on how to link methodologies on different scales. Computer-Aided Process Design (CACHE), p. 765, Kovach, J.W. License: Creative Commons BY-NC-SA. (Eds. Eng. Damped Newton-Raphson method. Comput. Chem. This is one of over 2,200 courses on OCW. Phys. and Van Loan, C.F., 1989, Matrix Computations. Learn more », © 2001–2018 Eng. Engng. Found. Plenum Press, New York, Hoover, W.G., 1986, Molecular Dynamics. I II, 15, Bolton, K., and Nordholm, S., 1994, J. Comput. Addison-Wesley, New York, Doolen, G.D. The method starts at a known point anddevelops the solution to the ODE by proceeding stepwise in small increments. Heat Transfer 110, 1037, Wesseling, PI, 1991, An Introduction to Multigrid Methods. Numerical methods in chemical engineering deal with a broad range of problems starting from calculations on atomic or molecular level to the optimization of complete chemical plants. and Hughes, R.R., 1981, Chem. 14, 1289, Rosen, E.M., 1980, in: Computer Applications to Chemical Engineering (Squires, S. and Reklaitis, G.V. and Liapis, 1983, Computer Methods for Solving-Dynamic Separation Problems. Over 10 million scientific documents at your fingertips.

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