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Numerical methods are algorithms that compute approximate solutions to mathematical problems that lack closed-form answers, and they are the computational engine behind scientific simulation, engineering design, and data analysis. This lab lets you apply root-finding algorithms—bisection, Newton-Raphson, and secant methods—to functions you define, watching each iteration narrow the interval or update the estimate on a live graph. Polynomial interpolation, numerical differentiation, and ODE solvers round out the toolkit, each paired with error analysis.
numerical methods · root finding · Newton-Raphson · interpolation · numerical integration · convergence
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