Systems of ODE

Related lectures (30)

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

Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.

Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.

Explores boundary value problems, finite difference method, and Joule heating examples in 1D.

Covers the Runge-Kutta method for approximating solutions of differential equations.

Covers error division and schemes for solving differential equations.

Covers the application of numerical methods to solve differential equations using MATLAB.

Covers alternative numerical methods for solving differential equations, including Crank-Nicolson and Heun's method.

Explores the deformations of an inextensible sheet bent under self-weight and its equilibrium shapes under gravity.

Covers high order methods for space discretisation in linear differential systems.