Harmonic Oscillator: Numerical Stability Analysis

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Covers path integral methods, focusing on convergence and computational techniques for quantum systems.

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Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.

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

Covers open methods, Newton-Raphson, and secant method for iterative solutions in numerical methods.

Explores numerical methods for solving the time-dependent Schrödinger equation using grid representation and split-operator algorithms.

Covers the derivation of multi-group diffusion equations and the numerical methods for solving the neutron diffusion equation.

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.