
Implement the regula falsi method in the nonlinear equations interface by adapting the by-section method, using an x2 calculation with F(lower) and F(upper), and updating bounds until convergence.
Add an interpolation and regression module with a public class and interface to numerical methods library, implementing linear interpolation from two points to a target x value returning a double.
Implement linear regression to fit data with y = a + b x, computing sums of x, x squared, y, and xy, then derive coefficients a and b.
Demonstrates unit testing of linear interpolation, linear regression, and power regression using a dedicated interpolation regression library, validating models with x-y data and expected outcomes.
Explore the central difference method for numerical derivatives in science and engineering, using f(x±dx) and f(x±2dx) with a 12 dx denominator, and investigate step-size effects and unit testing.
Get Started with C# Numerical Methods for Scientists and Engineers!
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