An Idealised Morphodynamic Model of a Double Inlet System

Due to their ecological significance and their role in providing grounds for a variety of human activities, understanding how tidal inlet systems evolve is of interest to scientists, engineers, and managers. The seabed profile in such systems evolves due to the erosion and deposition of sediment particles from and onto the seabed. Equivalently,...

Using neural networks to approximate the solutions of differential equations

In this work neural networks are used to approximate the solutions of multiple differential equa- tions. Three main differential equations are investigated: the mass-spring equation, the heat equation and the Navier-Stokes equations coupled with the continuity equation. Each of these equations are approached differently with the current methods,...

A unifying approach to subtidal salt intrusion modeling in tidal estuaries

The salinity structure in estuaries is classically described in terms of the salinity structure as well mixed, partially mixed, or salt wedge. The existing knowledge about the processes that result in such salinity structures comes from highly idealized models that are restricted to either well-mixed and partially mixed cases or subtidal salt...

Higher order exponential splittings for the fast Non-linear Fourier Transform of the Korteweg-De Vries equation

Non-linear Fourier Transforms (NFTs) enable the analysis of signals governed by certain non-linear evolution equations in a way that is analogous to how the conventional Fourier transform is used to analyse linear wave equations. Recently, fast numerical algorithms have been derived for the numerical computation of certain NFTs. In this paper,...

Tracing the Ventilation Pathways of the Deep North Pacific Ocean Using Lagrangian Particles and Eulerian Tracers

Lagrangian forward and backward models are introduced into a coarse-grid ocean global circulation model to trace the ventilation routes of the deep North Pacific Ocean. The random walk aspect in the Lagrangian model is dictated by a rotated isopycnal diffusivity tensor in the circulation model, and the effect of diffusion is explicitly...

Synchronization of Cyclic Power Grids: Equilibria and Stability of the Synchronous State

Synchronization is essential for the proper functioning of power grids, we investigate the synchronous states<br/>and their stability for cyclic power grids. We calculate the number of stable equilibria and investigate both the linear and nonlinear stability of the synchronous state. The linear stability analysis shows that the stability of the...

Online identification of continuous bimodal and trimodal piecewise affine systems

This paper investigates the identification of continuous piecewise affine systems in state space form with jointly unknown partition and subsystem matrices. The partition of the system is generated by the so-called centers. By representing continuous piecewise affine systems in the max-form and using a recursive Gauss-Newton algorithm for a...

Een tweedimensionaal model voor de vorming van atherosclerose

In this report a two-dimensional model is development for the development of Atherosclerosis. This is done with the 5 coupled partial differential equations. These are solved using the Finite Volume Method.

Numerical simulation of a condenser in two-phase heat transport systems a feasibility study

In this report the numerical simulation of a mathematical model of a condenser is discussed. This mathematical model of the NLR approach to model and scale two-phase heat transport systems. In this report the model of the condenser is reformulated to a model that is suitable for a numerical discussion. The results is a model that is represented...

Detection-filter representations for Markov jump diffusions

The problem considered is filtering for Gaussian observations of linear differential systems that are driven by both Wiener processes and marked Poisson point processes. Well-known representations of the MMSE-filter for such a Markov jump-diffusion are a differential for the evolution of its conditional density or differentials for all its...