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Other Methods: Crank-Nicolson
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Related lectures (30)
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Numerical Methods: Runge-Kutta Approximation
Covers the Runge-Kutta method for approximating solutions of differential equations.
Numerical Differentiation: Part 1
Covers numerical differentiation, forward differences, Taylor's expansion, Big O notation, and error minimization.
Explicit Stabilised Methods: Applications to Bayesian Inverse Problems
Explores explicit stabilised Runge-Kutta methods and their application to Bayesian inverse problems, covering optimization, sampling, and numerical experiments.
Elasto-Gravity Bending: Energy and Equilibrium
Explores elasto-gravity bending in thin sheets, covering bending energy, equilibrium shapes, and numerical methods.
Implicit Schemes in Numerical Analysis
Explores implicit schemes in numerical analysis, emphasizing stability and convergence properties in solving differential equations.
High Order Methods: Space Discretisation
Covers high order methods for space discretisation in linear differential systems.
Euler Forward Method
Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.
Numerical Methods: Boundary Value Problems
Explores boundary value problems, finite difference method, and Joule heating examples in 1D.
Implicit Euler Scheme
Explains the Implicit Euler Scheme, a method for solving differential equations numerically, focusing on stability and convergence properties.
Ordinary Differential Equations: Methods and Applications
Explores ordinary differential equations and numerical integration methods for stability and accuracy.