About Some Problems of Disjunctive Programming
Ivan I. Eremin (1998)
The Yugoslav Journal of Operations Research
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Ivan I. Eremin (1998)
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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Anatolly Anatolijevich Vatolin (1996)
The Yugoslav Journal of Operations Research
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Sanjo Zlobec (1992)
The Yugoslav Journal of Operations Research
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Sanjo Zlobec (1991)
The Yugoslav Journal of Operations Research
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Serafim Opricović, Lorenzo Eccher, Miodrag Isailovski (1992)
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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Jovan Petrić (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,...
Yan Xie, Jie Cheng, Benzhuo Lu, Linbo Zhang (2013)
Molecular Based Mathematical Biology
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rithms for solving the 3D electro-diffusion equations such as the Poisson-Nernst-Planck equations and the size-modified Poisson-Nernst-Planck equations in simulations of biomolecular systems in ionic liquid. A set of transformation methods based on the generalized Slotboom variables is used to solve the coupled equations. Calculations of the diffusion-reaction rate coefficients, electrostatic potential and ion concentrations for various systems verify the method’s validity and stability....
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....
Langhua Hu, Duan Chen, Guo-Wei Wei (2013)
Molecular Based Mathematical Biology
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Fractional derivative or fractional calculus plays a significant role in theoretical modeling of scientific and engineering problems. However, only relatively low order fractional derivatives are used at present. In general, it is not obvious what role a high fractional derivative can play and how to make use of arbitrarily high-order fractional derivatives. This work introduces arbitrarily high-order fractional partial differential equations (PDEs) to describe fractional hyperdiffusions....
Isabelle Chalendar, Jonathan R. Partington (2013)
Concrete Operators
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This paper presents an account of some recent approaches to the Invariant Subspace Problem. It contains a brief historical account of the problem, and some more detailed discussions of specific topics, namely, universal operators, the Bishop operators, and Read’s Banach space counter-example involving a finitely strictly singular operator.
A. Taylor (1963)
Studia Mathematica
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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...
Anton Heidar Thorolfsson, Andrei Manolescu, D.C. Marinescu, Vidar Gudmundsson (2012)
Nanoscale Systems: Mathematical Modeling, Theory and Applications
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We analyze the charge and spin distributions induced in an interacting electron system confined inside a semiconductor quantum wire with spin orbit interaction in the presence of an external magnetic field. The wire, assumed to be infinitely long, is obtained through lateral confinement in three different materials: GaAs, InAs, and InSb. The spin-orbit coupling, linear in the electron momentum is of both Rashba and Dresselhaus type. Within the Hartree-Fock approximation the many-body...