Explicit and implicit methods

Related lectures (30)

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

Explores error analysis in ordinary differential equations and convergence criteria for numerical methods.

Explores numerical methods for solving the wave equation, discussing stability conditions and convergence rates.

Explores the Schrödinger equation in quantum mechanics, numerical methods, and properties of observables.

Covers modeling and numerical schemes for diffusion-convection problems.

Explores systems of first-order differential equations and numerical methods for their analysis.

Covers error estimation in numerical methods, focusing on stability and truncation errors.

Covers ODE RK schemes, including explicit RK stages and accuracy computation.

Explains explicit Runge-Kutta methods up to order 4 and conditions for method's order.

Explains the Runge-Kutta methods, particularly the explicit scheme of order 4 (ERK4), and how to optimize parameters for accuracy.

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