Numerical Integration

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Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Numerical Differentiation and Integration

Covers numerical differentiation, integration, finite differences, Taylor expansions, and interpolation polynomials.

Adiabatic Reactor Design

Covers the design of adiabatic reactors with a focus on isomerization reactions and energy balance calculations.

Numerical Integration: Lagrange Interpolation, Simpson Rules

Explains Lagrange interpolation for numerical integration and introduces Simpson's rules.

Beam Elements

Covers the analysis of beam elements and the importance of minimizing unnecessary precision and cost in calculations.

Monte Carlo Simulations

Covers Monte Carlo simulations, ensemble properties, and numerical integration techniques.

Simpson's Rule

Covers Simpson's rule for numerical integration and its accuracy for polynomial functions.

Monte Carlo Method: Thermal Radiation

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

Molecular Dynamics Simulations: Energy Conservation

Explores energy conservation in Hamiltonian systems, numerical integration, time step choices, and constraint algorithms in molecular dynamics simulations.

Gauss Formulas

Explains the construction and benefits of Gauss formulas for numerical integration.