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Recent Publications

Recently Published Scientific Articles

Here, we present selected recent publications of the MPI Magdeburg.

2017

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Non-equimolar discrete compounds in binary chiral systems of organic substances

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CrystEngComm Highlight Article

Since knowledge on the occurrence of non-equimolar discrete compounds in binary systems containing chiral molecules is very limited, this study reviews and systematizes the current state of investigating such systems and summarizes the results on two example systems studied in detail by the authors.

In particular, the identification and verification of the non-equimolar discrete compounds compared to other discrete solid phases occurring in the two systems are discussed by presenting the results of related SCXRD, PXRD, TRPXRD, DSC, IR, and HSM studies. The (S)-malic acid–(R)-malic acid system has been found to contain non-equimolar 1 : 3 and 3 : 1 stable (S3R and SR3) and metastable (3S1R and 1S3R) discrete compounds, along with the equimolar compounds RSI and RSII (known monoclinic modifications) and the recently discovered RSIII modification.

Polymorphic transformations of the discrete phases are debated, and the crystal structure of the stable compound S3R is identified (S. G. P1). The L-valine–L-isoleucine system has been stated to contain a non-equimolar 2 : 1 discrete compound, V2I, that could independently be proven by the ternary solubility diagram in water and its crystal structure solved (S. G. C2). The results obtained are discussed in conjunction with the findings reported in the literature. In order to systematize the variety of terms used for the description of discrete phases in binary chiral systems of organic substances, a systematization of equimolar and non-equimolar compounds based on chemical and crystallographic characteristics is proposed.

Original publication:


 Model Reduction and Approximation: Theory and Algorithms

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Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems.

Model Reduction and Approximation: Theory and Algorithms

  • contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework;
  • is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods; and
  • covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).

Original publication:

Peter Benner, Albert Cohen, Mario Ohlberger, and Karen Willcox (Eds.)
Model Reduction and Approximation: Theory and Algorithms
SIAM Publications, Philadelphia, PA, 2017.
ISBN: 978-1-611974-81-2


System Reduction for Nanoscale IC Design

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This book describes the computational challenges posed by the progression toward nanoscale electronic devices and increasingly short design cycles in the microelectronics industry, and proposes methods of model reduction which facilitate circuit and device simulation for specific tasks in the design cycle.

The goal is to develop and compare methods for system reduction in the design of high dimensional nanoelectronic ICs, and to test these methods in the practice of semiconductor development. Six chapters describe the challenges for numerical simulation of nanoelectronic circuits and suggest model reduction methods for constituting equations. These include linear and nonlinear differential equations tailored to circuit equations and drift diffusion equations for semiconductor devices. The performance of these methods is illustrated with numerical experiments using real-world data. Readers will benefit from an up-to-date overview of the latest model reduction methods in computational nanoelectronics.

Original publication:

Peter Benner
System Reduction for Nanoscale IC Design
Springer International Publishing AG. 2017.

DOI: 10.1007/978-3-319-07236-4

 
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