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Sanja Petrović (1992)
The Yugoslav Journal of Operations Research
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Sanja Petrović (1992)
The Yugoslav Journal of Operations Research
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Irini Voudouris (1998)
The Yugoslav Journal of Operations Research
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Jalal Nikoukaran, Ray J. Paul (1998)
The Yugoslav Journal of Operations Research
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Miloš Baošić, Branislav Đorđević (1992)
The Yugoslav Journal of Operations Research
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Ellis L. Johnson, George L. Nemhauser (1992)
The Yugoslav Journal of Operations Research
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Dragoš Cvetković, Vladimir Dimitrijevic, Milan Milosavljevic (1992)
The Yugoslav Journal of Operations Research
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Robert C. Harris, Travis Mackoy, Marcia O. Fenley (2013)
Molecular Based Mathematical Biology
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A stochastic generalized Born (GB) solver is presented which can give predictions of energies arbitrarily close to those that would be given by exact effective GB radii, and, unlike analytical GB solvers, these errors are Gaussian with estimates that can be easily obtained from the algorithm. This method was tested by computing the electrostatic solvation energies (ΔGsolv) and the electrostatic binding energies (ΔGbind) of a set of DNA-drug complexes, a set of protein-drug complexes,...
Tao Liao, Yongjie Zhang, Peter M. Kekenes-Huskey, Yuhui Cheng, Anushka Michailova, Andrew D. McCulloch, Michael Holst, J. Andrew McCammon (2013)
Molecular Based Mathematical Biology
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Multi-scale modeling plays an important role in understanding the structure and biological functionalities of large biomolecular complexes. In this paper, we present an efficient computational framework to construct multi-scale models from atomic resolution data in the Protein Data Bank (PDB), which is accelerated by multi-core CPU and programmable Graphics Processing Units (GPU). A multi-level summation of Gaussian kernel functions is employed to generate implicit models for biomolecules....
A. Shamloo, A.P. Sowa (2013)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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We consider the electronic properties of a system consisting of two quantum dots in physical proximity, which we will refer to as the double-Qdot. Double-Qdots are attractive in light of their potential application to spin-based quantum computing and other electronic applications, e.g. as specialized sensors. Our main goal is to derive the essential properties of the double-Qdot from a model that is rigorous yet numerically tractable, and largely circumvents the complexities of an ab...
Josef Král, Jaroslav Kurzweil, Ivan Netuka, Štefan Schwabik (1994)
Czechoslovak Mathematical Journal
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Nikolay A. Simakov, Maria G. Kurnikova (2013)
Molecular Based Mathematical Biology
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Poisson and Poisson-Boltzmann equations (PE and PBE) are widely used in molecular modeling to estimate the electrostatic contribution to the free energy of a system. In such applications, PE often needs to be solved multiple times for a large number of system configurations. This can rapidly become a highly demanding computational task. To accelerate such calculations we implemented a graphical processing unit (GPU) PE solver described in this work. The GPU solver performance is compared...
David Miller (1982)
Stochastica
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C. Y. Fong, M. Shaughnessy, L. Damewood, L. H. Yang (2012)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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Since the term “spintronics” was conceived in 1996, there have been several directions taken to develop new semiconductor-based magnetic materials for device applications using spin, or spin and charge, as the operational paradigm. Anticipating their integration into mature semiconductor technologies, one direction is to make use of materials involving Si. In this review, we focus on the progress made, since 2005, in Si-based half metallic spintronic materials. In addition to commenting...