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Chapter-01 - CHEN 320 Numerical Methods • Numerical...

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Unformatted text preview: CHEN 320 - Numerical Methods • Numerical Methods for Engineers • Steven C. Chapra and Raymond P. Canale • Dr. Tahir Cagin – – Rm: 241, JEB Building – E-mail: [email protected] • Classes – 12:40 – 13:30 MWT – CHEN 104 • Exams: – MON, 2/11; 7-9PM – MON, 3/17; 7-9PM – MON, 4/14; 7-9PM Course Outline • Modelling, Computers, and Error Analysis • Root of Equations • Linear algebraic Equations • Optimization • Curve Fitting • Numerical Differentiation and Integration • Ordinary Differential Equations • Partial Differential Equations • Statistics Modeling, Computers and Error Analysis • Mathematical Modeling – Simple mathematical model – Conservation laws and engineering • Programming and Software – MATLAB, EXCEL, MAPLE, java, C, C++, etc • Approximations and Round-off Errors • Truncation Errors and Taylor Series Phases of Engineering Problem Solving Formulation Fundamental Laws explained briefly Formulation In depth exposition of relationship of problem to Fundamental Laws Solution Elaborate and complicated methods To make problem tractable Solution Easy to use computer Programs & methods Interpretation Analysis limited by time consuming solution Interpretation Computer solutions allow detailed Analysis and interpretation of results PRECOMPUTERS AFTER COMPUTERS Mathematical Modeling and...
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Chapter-01 - CHEN 320 Numerical Methods • Numerical...

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