Computational Science
Illustrating practical examples from computational science, this applications-oriented book teaches students and engineers how to employ mathematical techniques for simulation and data processing using Mathcad.
TABLE OF CONTENTS Computational Science
List of Figures
Chapter 1: Data Processing
- Figure 1.1: Random process rates of $/CHF and /CHF.
- Figure 1.2: Interpolation.
- Figure 1.3: Extrapolation ( + ).
- Figure 1.4: Regression.
- Figure 1.5: Linear trend.
- Figure 1.6: Detrending.
- Figure 1.7: Fourier spectrum of y(x) ($/CHF).
- Figure 1.8: Fourier spectrum of z(x) ( /CHF)
- Figure 1.9: Support and resistance.
- Figure 1.10: The histograms of dollar (left) and euro (right) exchange rates.
- Figure 1.11: The dollar and euro exchange rates: correlated random numbers.
- Figure 1.12: Data table.
- Figure 1.13: Graph of data.
- Figure 1.14: Histograms of average minimal (left) and maximal (right) temperature.
- Figure 1.15: Example of random process.
- Figure 1.16: Time-dependent random field.
- Figure 1.17: Explanation of the mean value and dispersion.
- Figure 1.18: The histograms of random samples: USD (left) and (USD trend) (right).
- Figure 1.19: Gaussian distribution (probability density).
- Figure 1.20: Gaussian distribution function.
- Figure 1.21: Uniform distribution function.
- Figure 1.22: Probability density of ? 2 distribution.
- Figure 1.23: ? 2 distribution function.
- Figure 1.24: Interval estimate of the standard deviation.
- Figure 1.25: Student s distribution function.
- Figure 1.26: Piecewise constant interpolation.
- Figure 1.27: Piecewise linear interpolation.
- Figure 1.28: Spline interpolation.
- Figure 1.29: Two versions of spline interpolation.
- Figure 1.30: B-splines (control lines are shown by dashed lines).
- Figure 1.31: B-splines (another set of control lines).
- Figure 1.32: Spline interpolations (two variants of calculating the splines).
- Figure 1.33: Comparison of the spline and linear interpolations.
- Figure 1.34: Piecewise constant 2D interpolation.
- Figure 1.35: Explanation of piecewise planar interpolation.
- Figure 1.36: Geophysical measurements (five observation stations).
- Figure...
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