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A convergent finite difference scheme for the Ostrovsky–Hunter equation with Dirichlet boundary conditions
We prove convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky–Hunter equation on a bounded domain with non-homogeneous Dirichlet boundary conditions. Our ...
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Article
A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain
We prove the convergence of a finite difference scheme to the unique entropy solution of a general form of the Ostrovsky-Hunter equation on a bounded domain with periodic boundary conditions. The equation mode...
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Chapter
The Role of the Conceptual Datamodel in Software Application Integration
Many sedimentary basins throughout the world have been extensively explored during the last thirty years. The resulting data have contributed substantially to our insight concerning the regional geological pro...
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Book
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Chapter
A Digital Pulse-Echo System Based on Acoustic Inversion
At the 10th and 12th Acoustical Imaging Conferences we presented the theory of a multi-dimensional acoustic inversion technique. This theory is based on a quantitative description of the wave propagation throu...
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Chapter
Cross-Sectional Measurements and Extrapolations of Ultrasonic Fields
Ultrasonic fields produced by a disk transducer have been measured in two planes normal to the transducer axis and then extrapolated from one measurement plane to the other and also back to the face of the tra...
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Chapter
New Possibilities in Data Measurement, Signal Processing and Information Extraction: Philosophy and Results
Recently,the acoustics group of the Delft University has introduced a theoretical framework which significantly improves the insight in and understanding of fundamental problems in acoustical echo techniques.I...
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Chapter
Acoustic Imaging by Wave Field Extrapolation Part II: Practical Aspects
In this paper the practical aspects of acoustic imaging will be envisaged, based on the theoretical considerations given in the foregoing paper (Part I).
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Chapter
Acoustic Imaging by Wave Field Extrapolation Part I: Theoretical Considerations
In this paper it is shown that the focussing problem can be approached from the theory of inverse filtering. First a forward model is derived with the aid of the acoustic wave equation:
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Chapter
Focussing by Means of Wave Field Extrapolation
Until now, focussing of ultra-sound has always been represented by a summation procedure along wave-fronts. Generally, the summation procedure will be preceded by time correction as in most practical cases the...
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Chapter
A dynamically focused multiscan system
Clinical ultrasound instruments with a linear array transducer are nowadays one of the methods which can be used to obtain real time two dimension cardiac images 1), 2), 3). Unlike mechanical sector scanners 4...
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Article
Logic of propositions
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Article
Über areolär-harmonische Funktionen
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Article
Mass- und Integrationstheorie in Strukturen
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Article
Das allgemeine Perron-Stieltjessche Integral [(PS)-Integration II]
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Article
Das spezielle Perron-Stieltjessche Integral
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Article
Über die gegenseitigen Beziehungen einiger „trigonometrischer” Integrationen
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Article
Denjoysche und Perronsche Integration
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Article
Über Perron-Stieltjessche und Denjoy-Stieltjessche Integrationen
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Article
Der Perronsche Integralbegriff
