The theoretical part consists initially of a brief repetition of basic concepts (differentiation, numerical solution of partial differential equation, derivative approach with finite differences, numerical error, precision, stability and convergence of numerical solution, explicit and implicit solving schemes, limitations and Courant-Friedrichs-Lewy criterion, requirements of initial and boundary conditions, basics of hydrodynamic models). After that, detailed description and application of numerical simulation techniques is performed on 

• processes described by ordinary differential equations (ODEs) and systems of ODEs (change only with time),

• processes of advection and diffusion of tracers in one (horizontal and vertical) spatial dimension (1-D) and in two spatial dimensions (2-D, horizontal),

• hydrodynamic circulation processes (e.g. long surface waves in one and two dimensions, shallow water equations and wind driven circulation in a shallow basin with variable bathymetry),

• ecosystem processes examined by physical-biological coupling (e.g. annual primary production cycle in the water column in coastal ecosystems), climatic processes, etc.

Practical exercises include the simulation of these phenomena both by developing simple code in programming language and by using ready-made software such as MATLAB subroutines, the S2P3 water column physics-biology model, the Delft-Dashboard software (the latter is used by students in teams to apply a simple two-dimensional, depth averaged hydrodynamic model in a coastal area and investigate results at the end of the semester).