Lectures related to Explicit Stabilised Methods: Stochastic Differential Equations

Covers numerical integration methods, focusing on the trapezoidal rule and iterative processes.

Covers non-linear ordinary differential equations, including separation, Cauchy problems, and stability conditions.

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

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.

Explores numerical integration methods and their application in solving differential equations and simulating physical systems.

Covers the basics of numerical analysis and computational methods using Python, focusing on algorithms and practical applications in mathematics.