EP 501: Numerical Methods for Engineers and Scientists (Fall 2017)

Jonathan B. Snively

EP501: COB 127, T/Th, 2:15-3:30

Course Files:

• Syllabus (8/28/2017)

Class Homework Assignments:

• Homework #1: Introductory Numerics, Due 9/14/2017
• Homework #2: Direct Methods for Systems of Linear Equations, Due 9/28/2017
• Homework #3: More Methods for Systems of Linear Equations, Due 10/5/2017
• Homework #4: Methods for Nonlinear Equations, Due 10/12/2017
• Homework #4.5: Direct Fit and Lagrange Polynomials, Due 10/17/2017
• Homework #M: Midterm Take-Home Exam, Due 11/2/2017
• Homework #5: Differentiation and Integration, Due 11/9/2017
• Homework #6: ODE Methods for IVPs and BVPs, Due 11/21/2017
• Homework #7: PDE Methods for Various Problems, Due 12/7/2017

Lecture Notes, Presentations, Recommended Reading:

• Mathworks Intro to Floating Point Arithmetic (8/23/2017)
• Lecture #1 "Syllabus Day" and Matlab Demonstrations (8/29/2017)
• Lecture #2 Slideshow (8/31/2017)
• Lecture #6 Slideshow (9/21/2017)
• Lecture #7 Slideshow (9/26/2017)
• Lecture #9 Slideshow (10/3/2017)
• Lecture #12 Slideshow (10/12/2017)
• Lecture #14 Slideshow (10/24/2017)
• Lecture #15 Slideshow (10/26/2017)
• Lecture #16 Slideshow (10/31/2017)
• Lecture #19 Slideshow (11/9/2017)
• Lecture #22 Slideshow (11/21/2017)

Sample Codes:

• demo1.m: Matlab Plotting Demo 1
• demo2.m: Numerical Precision Demo 2
• demo3.m: Errors and Approximations Demo 3
• eliminate.m: Simple Elimination
• simpsolve.m: Simple Elimination with Back Substitution
• tridiag.m: Thomas Algorithm
• jacobi.m: Jacobi Iteration
• gaussseidel.m: Gauss-Seidel Iteration
• sor.m: Successive Over-Relaxation
• f.m: Textbook Function 3.5
• gbad.m: Textbook Function 3.32
• g.m: Textbook Function 3.41
• fprime.m: Textbook Function 3.63
• bracketing.m: Closed Domain Methods for Nonlinear Problems
• fixedpoint.m: Fixed Point Iteration Example
• newtonsecant.m: Newton and Secant Method Examples
• polyapprox.m: Direct Fit and Lagrange Polynomial Examples
• lesq.m: Linear Least-Squares Fit
• diff_unequal.m: Differentiation of Unequally-Spaced Data
• diff_equal.m: Differentiation of Equally-Spaced Data
• int_unequal.m: Integration of Unequally-Spaced Data
• int_equal.m: Integration of Equally-Spaced Data
• atmos.mat: Atmospheric density and temperature from 0-100 km altitude
• euler.m: Euler, Midpoint and Trapezoid Methods
• rk4.m: Runge-Kutta Fourth Order Method
• bvp.m: BVP Elliptic Problem, Direct and Iterative Solutions to FDEs
• elliptic.m: Comparison of Iterative Methods for Elliptic Problems
• heat2d.m: 2D Heat Equation, Solved Explicitly to steady-state (Compare to bvp.m)
• heat1d.m: 1D Heat Equation, Solved by FTCS, BTCS, and Crank-Nicolson
• lax.m: Advection Equation, Solved by Lax method
• laxwave.m: Wave Equation, Solved by Lax method

Last Updated: 12/2/2017,

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