The Faculty of Mathematics and Natural Sciences: Mathematisch-Naturwissenschaftliche Fakultät: Recent submissions
Now showing items 501-520 of 5045
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Vehicle Routing in Theory and Practice
(2024-08-23)In this thesis, we study combinatorial optimization problems that arise in logistics and can be summarized under the name vehicle routing. We tackle these problems from two different points of view. First, we study their ... -
Knowledge Graph Creation for Volunteered Geographic Information
(2024-08-23)Community-created geographic data sources, such as OpenStreetMap, are semi-structured sources of geographic information. These sources rely on voluntary contributions from individuals worldwide, resulting in huge amounts ... -
Photolysis of Azido(5,10,15,20-tetraphenyl-porphyrin-21,23-diido)iron(III) – Ultrafast Time-Resolved Infrared and Visible Spectroscopy
(2024-08-23)Azido(5,10,15,20-tetraphenylporphyrin-21,23-diido)iron(III) ([Fe<sup>+III</sup>(tpp)(N<sub>3</sub>)], [<strong>1</strong>]), is an archetypical model complex, whose photolysis yields the high-valent and reactive nitridocomplex ... -
Role of Trim71 in embryonic cardiovascular development and hematopoiesis
(2024-08-23)The circulatory system consists of blood cells, vasculature and the heart, and it enables the exchange of oxygen, nutrients, metabolic waste products and cells throughout the body. These functions make prenatal cardiovascular ... -
Semantic Feedback for Collaborative Perception with Smart Edge Sensors
(2024-08-23)In this thesis, we develop a system for accurate semantic perception of 3D scene geometry, persons, and objects in robotic applications. We consider the limitations of interpreting only a single sensor view with restricted ... -
On the generation and modulation of electron spin density in open-shell phosphorus compounds
(2024-08-23)This Ph.D. thesis consists of a systematic study on the accessibility of open shell phosphorus compounds having a P–O bond. For this two concepts for the stabilisation of such radicals were probed. Firstly, metal complexes ... -
Coupling molecular dynamics and continua with weak constraints
(2011-06)One of the most challenging problems in dynamic concurrent multiscale simulations is the reflectionless transfer of physical quantities between the different scales. In particular, when coupling molecular dynamics and ... -
Greedy and randomized versions of the multiplicative Schwarz method
(2011-06)We consider sequential, i.e., Gauss-Seidel type, subspace correction methods for the iterative solution of symmetric positive definite variational problems, where the order of subspace correction steps is not deterministically ... -
On the construction of sparse tensor product spaces
(2011-05)Let Ω<sub>1</sub> ⊂ ℝ<sup><em>n</em><sub>1</sub></sup> and Ω<sub>2</sub> ⊂ ℝ<sup><em>n</em><sub>2</sub></sup> be two given domains and consider on each domain a multiscale sequence of ansatz spaces of polynomial ... -
Multiscale simulation of ion migration for battery systems
(2012-11)In this paper we describe a multi-scale approach to ion migration processes, which involves a bridging from the atomic scale to the macroscopic scale. To this end, the diffusion coefficient of a material i.e. a macroscopic ... -
An adaptive sparse grid semi-Lagrangian scheme for first order Hamilton-Jacobi Bellman equations
(2012-09)We propose a semi-Lagrangian scheme using a spatially adaptive sparse grid to deal with non-linear time-dependent Hamilton-Jacobi Bellman equations. We focus in particular on front propagation models in higher dimensions ... -
A sparse grid based generative topographic mapping for the dimensionality reduction of high-dimensional data
(2012-05)Most high-dimensional data exhibit some correlation such that data points are not distributed uniformly in the data space but lie approximately on a lower-dimensional manifold. A major problem in many data-mining applications ... -
A note on the construction of L-fold sparse tensor product spaces
(2012-04)In the present paper, we consider the construction of general sparse tensor product spaces in arbitrary space dimensions when the single subdomains are of different dimensionality and the associated ansatz spaces possess ... -
Computational 3D simulation of calcium leaching in cement matrices
(2012-02)Calcium leaching is a degradation process consisting in the progressive dissolution of the paste by the migration of calcium atoms to the aggressive solution. It is therefore, a complex phenomenon involving simultaneously ... -
An efficient sparse grid Galerkin approach for the numerical valuation of basket options under Kou's jump-diffusion model
(2012-02)We use a sparse grid approach to discretize a multi-dimensional partial integro-differential equation (PIDE) for the deterministic valuation of European put options on Kou’s jump-diffusion processes. We employ a generalized ... -
An adaptive sparse grid approach for time series predictions
(2012-01)A real valued, deterministic and stationary time series can be embedded in a — sometimes high-dimensional — real vector space. This leads to a one-to-one relationship between the embedded, time dependent vectors in ... -
Multiscale partition of unity
(2013-12)We introduce a new Partition of Unity Method for the numerical homogenization of elliptic partial differential equations with arbitrarily rough coefficients. We do not restrict to a particular ansatz space or the existence ... -
Optimal scaling parameters for sparse grid discretizations
(2013-08)We apply iterative subspace correction methods to elliptic PDE problems discretized by generalized sparse grid systems. The involved subspace solvers are based on the combination of all anisotropic full grid spaces that ... -
Multiscale simulations of three-dimensional viscoelastic flows in a square-square contraction
(2015-03)We apply the multiscale FENE model to a 3D square-square contraction flow problem and to two 2D benchmark experiments. For this purpose, we couple the stochastic Brownian configuration field method (BCF) with our fully ... -
Multiscale approximation and reproducing kernel Hilbert space methods
(2013)We consider reproducing kernels <em>K</em> : Ω x Ω → ℝ in multiscale series expansion form, i.e., kernels of the form <em>K</em> (<em>x</em>, <em>y</em>) = ∑<sub>ℓ∈ℕ</sub>λ<sub>T ...
