Runge-Kutta and Multi-Step Methods

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Page 3 of 3

Covers essential MATLAB functions, variables, loops, and debugging tools.

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Explores zero-stability and absolute-stability in numerical methods, including Forward Euler, Backward Euler, Crank-Nicolson, and Heun's methods.

Covers the retrograde Euler method, an implicit numerical scheme used to solve equations and the concept of convergence order.

Explores the stability analysis of finite difference methods for solving differential equations.

Covers explicit stabilized methods for stiff stochastic differential equations, analyzing their properties and applications.

Explores the Monte Carlo method for thermal radiation and radiative energy exchange.

Explores the Cauchy problem and Euler methods for numerical solutions in ODEs.

Explores MATLAB integration, differentiation, ODE solvers, and simulation techniques for dynamic systems.