| 1-8 |
Root Finding: Solutions of Equations in One Variable (and some Roots of Nonlinear Systems) |
Aitken Extrapolations (PDF)
Wallis Equation (PDF)
2-D Newton (PDF)
Bairstow's Method (PDF)
|
| 9-16 |
Quadrature: Numerical Integration (and some Lagrange Interpolation) |
Quadrature (PDF)
Newton-Cotes (PDF)
Polynomial Interpolation (PDF)
Bernoulli Polynomials (PDF)
Bernoulli Numbers (PDF)
Some Numerical Fun with Euler/Maclaurin (PDF)
Circumference of the Ellipse (PDF)
Extrapolation (PDF)
Growth of Weeds (PDF)
Gauss/Laguerre Quadrature (PDF)
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| 17-23 |
ODEs: Initial-Value Problems for Ordinary Differential Equations |
Errors vs Evaluations (PDF)
ODE via Taylor Series (PDF)
Rates of Convergence (PDF)
One e = 0.6 Kepler Orbit (PDF)
Toward J0 (r) (PDF)
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| 24-31 |
Ax=b: Direct Methods for Solving Linear Algebra |
Wilkinson's example (PDF)
Condition Number (PDF)
Ax = b Iterations (PDF)
Rates of SOR Convergence (PDF)
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| 32-39 |
Ax=λx: Iterative Techniques in Matrix Algebra; Approximating Eigenvalues |
Householder Reflections (PDF)
Jacobi's Method of Successive 2D Rotations (PDF)
Precursor to Problem 36 (PDF)
Eigenvalues (PDF)
The Geometry of QR (PDF)
Eigenvalues of Chain Matrix (PDF)
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