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Solutions of Equations
Numerical Methods
Professor Alan Hood Room 304
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Solutions of Equations
Revision of Taylor Series
Approximate Numerical Methods for Root Finding
Forms of Numbers and Numerical Errors
Approximate Numerical Methods
Newton-Raphson Method
Stopping Criterion
Error Estimate for the Newton-Raphson Method
Summary of Newton-Raphson
Other Iterative Schemes
Convergence of Fixed-Point Iteration, Error Analysis
Summary
Logistic Equation
Summary
Revision of Partial Differentiation
Taylor Series for Functions of Two Variables
Numerical Solutions to Ordinary Differential Equations
Euler's Algorithm
Error Analysis for Euler's Algorithm
Heun's Algorithm: A Predictor-Corrector Method
Error Analysis for Heun's Algorithm
Extension to Systems of Equations
Summary
About this document ...
Prof. Alan Hood
2000-02-01
