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31. Interpolate Unit
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30. X-ray Imaging Unit
Contents
Index
VIII
. Numerical Tools Units
Subsections
31
. Interpolate Unit
31
.
1
Introduction
31
.
2
Piecewise Cubic Interpolation
31
.
3
Usage
32
. Roots Unit
32
.
1
Introduction
32
.
2
Roots of Quadratic Polynomials
32
.
3
Roots of Cubic Polynomials
32
.
4
Roots of Quartic Polynomials
32
.
5
Usage
32
.
6
Unit Tests
32
.
6
.
1
Quadratic Polynomials Root Test
32
.
6
.
2
Cubic Polynomials Root Test
32
.
6
.
3
Quartic Polynomials Root Test
33
. RungeKutta Unit
33
.
1
Introduction
33
.
2
Runge Kutta Integration
33
.
3
Usage
33
.
4
Unit Tests
33
.
4
.
1
Runge Kutta FLASH Test for a 2D Elliptical Path
33
.
4
.
1
.
1
Derivation of the 2D elliptical path ODE
33
.
4
.
1
.
2
Minimum and maximum distance from a point to a general ellipse in a 2D cartesian domain
33
.
4
.
1
.
3
The FLASH test problem for the Runge Kutta 2D ellipse test
33
.
4
.
2
Runge Kutta FLASH Test for Binomial Homogeneous Higher Order ODE
