Mathematisch-Naturwissenschaftliche Fakultät: Mathematisch-Naturwissenschaftliche Fakultät: Neuzugänge
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Fast approximation of the discrete Gauss transform in higher dimensions
Griebel, Michael; Wissel, Daniel (2011-10)We present a novel approach for the fast approximation of the discrete Gauss transform in higher dimensions. The algorithm is based on the dual-tree technique and introduces a new Taylor series expansion. It compares ... -
Approximation of two-variate functions: singular value decomposition versus sparse grids
Griebel, Michael; Harbrecht, Helmut (2011)We compare the cost complexities of two approximation schemes for functions <em>f</em> ∈ <em>H<sup>p</sup></em>(<em>Ω</em><sub>1</sub> × <em>Ω</em><sub>2</sub>) which live on the product domain <em>Ω</em><sub>1</sub> × ... -
Composition and astringency of Cabernet Sauvignon red wines: Implications of polyphenol-polysaccharide interactions
Weilack, Ingrid (2024-08-26)Red wine quality is based on organoleptic properties like color, color stability, and mouthfeel, among others. The specifications for these attributes vary depending on cultivar, wine style, and personal taste. Ideally, ... -
How to Sell Online (Fast) via Pricing-Based Algorithms
Braun, Alexander (2024-08-23)Online resource allocation problems play a fundamental role in online decision making. In these problems, a sequence of agents arrives one-by-one, each with the goal of being assigned a subset of available items. An ... -
Vehicle Routing in Theory and Practice
Blauth, Jannis (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
Dsouza, Alishiba Florian (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
Flesch, Stefan (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
Beckröge, Tobias (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
Bultmann, Simon Alexander (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
Brehm, Philipp (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
Fackeldey, Konstantin; Krause, Dorian; Krause, Rolf; Lenzen, Christoph (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
Griebel, Michael; Oswald, Peter (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
Griebel, Michael; Harbrecht, Helmut (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
Neuen, Christian; Griebel, Michael; Hamaekers, Jan (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
Bokanowski, Olivier; Garcke, Jochen; Griebel, Michael; Klompmaker, Irene (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
Griebel, Michael; Hullmann, Alexander (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
Griebel, Michael; Harbrecht, Helmut (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
Gaitero, Juan J.; Dolado, Jorge S.; Neuen, Christian; Heber, Frederik; Koenders, Eddy (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
Griebel, Michael; Hullmann, Alexander (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
Bohn, Bastian; Griebel, Michael (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 ...






















