Explicit Stabilised Methods: Stochastic Differential Equations

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Stochastic Differential Equations: Mean-Field Inference

Explores inference for stochastic differential equations, focusing on numerical methods and convergence analysis.

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Euler Forward Method

Introduces the Euler Forward Method for ODEs, focusing on error analysis and stability.

Variational Formulation: Finite Element Method

Discusses the variational formulation of the heat equation using the finite element method.

Power Systems Dynamics: Transient Stability

Explores transient stability in power systems dynamics, covering algebraic equations, generator models, and numerical integration techniques.

Euler Backward Method: ODEs

Explores the Euler backward method for ODEs, discussing stability, error reduction, and implicit vs explicit methods.

Numerical Methods: Euler Schemes

Focuses on Euler schemes for numerical approximation of forces and velocities.

Error Estimation in Numerical Methods

Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.

Finite Difference Methods: Stability Analysis

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

High Order Methods: Space Discretisation

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