# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2018/2019

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# Postgraduate Course: Numerical Methods for Chemical Engineers (MSc) (PGEE11148)

 School School of Engineering College College of Science and Engineering Credit level (Normal year taken) SCQF Level 11 (Postgraduate) Availability Not available to visiting students SCQF Credits 10 ECTS Credits 5 Summary The problems a chemical engineering faces today range from molecular simulations to computational fluid dynamics and reaction and process modelling. These areas span a wide range of time and length scales and sophisticated numerical methods are required to reach a solution. This course introduces computational and mathematical methods for the solution of multi-scale chemical engineering problems. Course description Week - Lecture topic (Tutorial/Assignment) 1 Linear equation systems (Matlab refresh) Linear equation system solvers 2 Nondimensionalisation Nonlinear algebraic equations 3 Nonlinear systems solvers (Nonlinear systems) Parameter estimation 4 ODE introduction Explicit ODE solvers 5 Stiff systems and DAEs (ODE) Implicit methods 1 6 Implicit methods 2 PDE introduction 7 Method of lines with FDM 1 (PDE) Method of lines with FDM 2 8 Optimisation introduction Linear programming 9 Nonlinear optimisation 1 (Optimisation) Nonlinear optimisation 2 10 Model vs Data: fitting Uncertainty in data and models
 Pre-requisites Co-requisites Prohibited Combinations Other requirements None
 Not being delivered
 On completion of this course, the student will be able to: Engineering Technician: A2 Use appropriate scientific, technical or engineering principles.Incorporated Engineer: A2 Use a sound evidence-based approach to problem-solving and contribute to continuous improvement.Chartered Engineer: B Apply appropriate theoretical and practical methods to the analysis and solution of engineering problemsChartered Engineer: B2 Conduct appropriate research, and undertake design and development of engineering solutions. This could include an ability to: o Collect, analyse and evaluate the relevant data o Undertake engineering design
 Core reading list -Kenneth J. Beers: Numerical Methods for Chemical Engineering, Applications in Matlab ¿ electronic version available -Rutherford Aris: Mathematical modeling. A chemical engineer's perspective ¿ electronic version available Extended reading list -Richard G. Rice, Duong D. Do: Applied Mathematics and Modeling for Chemical Engineers -Mark E. Davis: Numerical Methods and Modeling for Chemical Engineers ¿ electronic version available -Kamal I. M. Al-Malah: MATLAB Numerical Methods with Chemical Engineering Applications ¿ electronic version available -Michael B. Cutlip, Mordechai Shacham: Problem Solving in Chemical Engineering with Numerical Methods -Norman W. Loney: Applied Mathematical Methods for Chemical Engineers Numerical algorithms -William H. Press: Numerical Recipes in C: The Art of Scientific Computing Partial differential equations -Leon Lapidus, George F. Pinder: Numerical Solution of Partial Differential Equations in Science and Engineering
 Graduate Attributes and Skills Not entered Keywords Numerical methods,computational methods,applied mathematics,chemical engineering
 Course organiser Dr Daniel Friedrich Tel: (0131 6)50 5662 Email: D.Friedrich@ed.ac.uk Course secretary Mrs Megan Inch-Kellingray Tel: (0131 6)51 7079 Email: M.Inch@ed.ac.uk
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