Numerical Analysis: Stability in ODEs

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Explores the stability analysis of finite difference methods for solving differential equations.

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

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

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Covers the analysis of speed variation using differential equations and small time intervals.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

Explores unconfined flow in computational geomechanics, emphasizing weak form derivation and relative permeability.

Explains the Euler method and higher-order Runge-Kutta schemes for solving differential equations.

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Explores advanced space discretization techniques in numerical analysis for solving differential systems efficiently and accurately.