Lectures related to Transportation Optimization: Modeling and Solution

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.

Numerical Methods: Euler and Crank-Nicolson

Covers Euler and Crank-Nicolson methods for solving differential equations.

Runge Kutta and Multistep Methods

Explores Runge Kutta and multistep methods for solving ODEs, including Backward Euler and Crank-Nicolson.

High Order Methods: Space Discretisation

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

Higher Order Methods: Iterative Techniques

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

Numerics: semester project

Covers the semester project on numerics, focusing on adaptive algorithms and multistep methods.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Runge-Kutta Methods

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

Runge-Kutta and Multi-Step Methods

Covers Runge-Kutta and multi-step methods in Chapter 6, including high-order methods and MATLAB examples.

Activity-Based Costing

Introduces Activity-Based Costing (ABC) for cost allocation and analysis in management control.

Production Theory: Costs and Returns

Explores production theory, costs, and returns in relation to a producer's behavior and cost structure.

Financial Management: Leverage and Cost Analysis

Explores leverage, cost analysis, breakeven sales, and contribution margin in financial management.

Crank-Nicolson and Heun's Methods

Covers the Crank-Nicolson and Heun's methods, discussing uniqueness of solutions and truncation errors in numerical methods.

Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4

Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.

Cost Modelling of Materials

Explores cost modelling of materials, focusing on technical approaches, automotive case studies, and sustainability, emphasizing the importance of data quality and the impact of weight and emissions on OEMs.

Runge-Kutta Methods: Approximating Differential Equations

Covers the stages of the explicit Runge-Kutta method for approximating y(t) with detailed explanations.

Differential Equations: Approximation Methods and Analysis

Covers methods for approximating solutions to differential equations and their real-world applications.

Numerical Integration: Euler Method

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

Convergence Analysis: Explicit RK Scheme

Explores the convergence analysis of the Explicit Runge-Kutta scheme for accurate numerical solutions.

Explicit RK Methods

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