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BookDOI

Numerische Mathematik 1

Josef Stoer
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The article was published on 1989-01-01. It has received 2186 citations till now.

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Book ChapterDOI

Adaptable path planning in regionalized environments

TL;DR: This paper argues for the advantages of the chosen approach, develops a measure for calculating wayfinding complexity that accounts for structural and functional aspects of wayfinding, and states a generic algorithm for regionalization.
Journal ArticleDOI

A general formulation of Peaceman and Rachford Adi method for the N-dimensional heat diffusion equation

TL;DR: In this paper, a general formulation of an alternating direction implicit (ADI) method was derived by extending Peaceman and Rachford scheme from two-dimensions to a N -dimensional space (N ≥ 2).
DissertationDOI

Optimal Design of Survivable Multi-layer Telecommunication Networks

TL;DR: This thesis provides mathematical models and algorithmic techniques for the integrated optimization of two network layers with survivability constraints and uses the developed techniques to design large survivable two-layer networks by means of linear and integer programming methods.

Kalman Filters for Nonlinear Systems and Heavy-Tailed Noise

TL;DR: This thesis is on filtering in state space models and examines approximate Kalman filters for nonlinear systems, where the optimal Bayesian filtering recursions cannot be solved exactly.
Journal ArticleDOI

Influence of Multiscale Roughness Patterns in Cavitated Flows: Applications to Journal Bearings

TL;DR: In this article, the authors deal with the coupling of two major problems in lubrication theory: cavitation phenomena and roughness of the surfaces in relative motion, and study the behavior of the solution, when highly oscillating roughness effects on the rigid surfaces occur.