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The Mixed Volume of Two Finite Vector Sets

Li Xiaoyan, Leng Gangsong
2004 Discrete & Computational Geometry  
We introduce the concept of the mixed volume of two finite vector sets in R n .  ...  By employing the exterior differential, we prove a new and powerful inequality and establish a series of quantity relations associated with the mixed volume of two finite vector sets.  ...  The Mixed Volume of Two Finite Vector Sets  ... 
doi:10.1007/s00454-004-1104-8 fatcat:ipz5eayma5aetejxdksx6qulgi

Plane Sections of Convex Bodies of Maximal Volume

E. Makai, S. Vrecica, R. Živaljevic
2001 Discrete & Computational Geometry  
(or more generally (n − 2)-dimensional Hausdorff-measure) less than c n−2 , where c n−2 is the volume of the sphere S n−2 .  ...  If M is an embedded p-dimensional submanifold of class C 1 and finite volume, then M is H rectifiable and measurable and Vol(M) = H p (M).  ... 
doi:10.1007/s004540010070 fatcat:uymrenqkarcbzecr3qyn4l646i

Cumulative subject index volumes 33–35

1977 Information and Control  
model for all kinds of computing machines, 33, 166 Computational geometry linear threshold functions, 34, 66 Context sensitive language not context free, 35, 196 Context sensitive table Lindenmayer  ...  noise, 34, 141 Linearization problems for systems of logical functions, harmonic analysis, 33, 142 Linear orders discrete, use of model theoretic games, 33, 281 Linear threshold functions computational  ... 
doi:10.1016/s0019-9958(77)90187-5 fatcat:jaxd23nbmva5hdnq37lof736um

Index to Volume 25

2001 Discrete & Computational Geometry  
D.: Convex Dimension of Locally Planar Convex Geometries 85 PACH, J., and PINCHASI, R.: On the Number of Balanced Lines . . . . . . . . . . . . 611 PEYERIMHOFF, N.: see Baues, O. . . . . . . . . . . .  ...  .: see Chazelle, B. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 519 MAKAI, E., VREĆICA, S., andŽIVALJEVIĆ, R.: Plane Sections of Convex Bodies of Maximal Volume  ... 
doi:10.1007/s00545-001-0017-z fatcat:jdaxfzchu5bhzebll4eiu7zkri

CFD Analysis of Downcomer of Nuclear Reactor VVER 440

Vladimír Kutiš, Jakub Jakubec, Juraj Paulech, Gálik Gálik, Tibor Sedlár
2016 Strojnícky casopis – Journal of Mechanical Engineering  
, funded by the European Regional Development Funds), for the computational time and resources made available.  ...  Authors are also grateful to the HPC Centre at the Slovak University of Technology in Bratislava, which is a part of the Slovak Infrastructure of High Performance Computing (SIVVP project, ITMS code 26230120002  ...  The simplification of the geometry model is necessary, because our discretized models are limited by hardware, that are used to CFD computations.  ... 
doi:10.1515/scjme-2016-0018 fatcat:izel4zl3vzezdfk2sdvl6k33gm

Heterogeneous multiscale Monte Carlo simulations for gold nanoparticle radiosensitization

Martin P. Martinov, Rowan M. Thomson
2017 Medical Physics (Lancaster)  
Compared to discrete modeling of GNPs throughout the gold-containing volume, efficiencies are enhanced by up to a factor of 122 with the HetMS approach.  ...  (GNPT), a model characterized by its varying levels of detail on different length scales within a single phantom; to apply the HetMS model in two different scenarios relevant for GNPT and to compare computed  ...  In certain circumstances, discrete modelling of each GNP within the macroscopic volume would be impossible with available computer resources (memory, computing time).  ... 
doi:10.1002/mp.12061 pmid:28001308 fatcat:2zd5dptd7zdrhffjny5tr5ln3a

Shadow geometry maps for alias-free shadows

Rui Wang, YingQing Wu, MingHao Pan, Wei Chen, Wei Hua
2012 Science China Information Sciences  
However, they suffer from aliasing artifacts because of discretization errors, inadequate resolution and projection distortion.  ...  In this paper, we propose the shadow geometry map method, where a shadow depth map is augmented by storing geometry information about scenes.  ...  The shadow volumes method [1] employs an auxiliary shadow volume geometry to determine the shadow boundaries.  ... 
doi:10.1007/s11432-012-4696-2 fatcat:6jqlwsaidjeu3hw765o7hlvata

Discrete Geometry—From Theory to Applications: A Case Study

David Gu, Emil Saucan
2016 Axioms  
This new type of discrete Ricci curvature is based on the previous theoretical work of Forman [32] and its application to Imaging is both natural and quite straightforward [33] .  ...  computer driven application.  ... 
doi:10.3390/axioms5040027 fatcat:kdtww5oqtrf73lpe3okjfeq6ni

Optical properties of black carbon aerosols encapsulated in a shell of sulfate: comparison of the closed cell model with a coated aggregate model

Michael Kahnert
2017 Optics Express  
For high BC volume fractions f , both models yield comparable results. As more sulfate is added, some of the optical properties diverge.  ...  At 532 nm wavelength, optical properties of black carbon (BC) particles mixed with sulfate are computed by use of two morphological models, a closed cell and a coated aggregate model.  ...  The optical properties of the coated aggregates are computed with the discrete dipole approximation (DDA).  ... 
doi:10.1364/oe.25.024579 pmid:29041403 fatcat:dzrvhxvgrfdnjlvjmzn7h7vmx4

Page 7956 of Mathematical Reviews Vol. , Issue 2000k [page]

2000 Mathematical Reviews  
(English summary) Discrete Comput. Geom. 23 (2000), no. 1, 15-33.  ...  Wenger, Discrete Comput. Geom. 5 (1990), no. 1, 27-33; MR 90k:52018}.  ... 

Three dimensional supersonic flow analysis over a satellite vehicle launcher

A.L. De Bortoli
1999 Journal of Computational and Applied Mathematics  
This work shows a numerical method for the solution of compressible and almost incompressible fluid flows using a finite volume, explicit Runge-Kutta multistage scheme, with central spatial discretization  ...  The ever-widening applications of numerical calculations leads to a variety of new numerical methods, which are different in their solution algorithms as well as in the discretization of the governing  ...  Jiri Blazek for sharing their experiences concerning the Euler version of CEVCATS and their many insights into Computational Fluid Dynamics, when he visited DLR -Institute of Design Aerodynamics in Braunschweig  ... 
doi:10.1016/s0377-0427(98)00238-6 fatcat:nqtfstabxjcpffuno66p5n3qua

High-order finite-volume methods on locally-structured grids

Phillip Colella
2016 Discrete and Continuous Dynamical Systems. Series A  
It is based on the use of a simple class of high-order quadratures for computing the average of fluxes over faces.  ...  We present an approach to designing arbitrarily high-order finitevolume spatial discretizations on locally-rectangular grids.  ...  loss of mass in each irregular control volume to nearby control volumes in a way that is stable overall [33, 11, 4] .  ... 
doi:10.3934/dcds.2016.36.4247 fatcat:v4gaavefyzhy3kg3bnwpnogooe

Unstructured Grids and the Multigroup Neutron Diffusion Equation

German Theler
2013 Science and Technology of Nuclear Installations  
It is in this spirit that this paper is written, giving a first introduction to the basic concepts which can be incorporated into core-level neutron flux computations.  ...  A simple two-dimensional homogeneous circular reactor is solved using a coarse unstructured grid in order to illustrate some basic differences between the finite volumes and the finite elements method.  ...  Figure 4 : 4 The finite volumes method computes the unknown flux in the cell centers (squares), whilst the finite elements method computes the fluxes at the nodes (circles).  ... 
doi:10.1155/2013/641863 fatcat:rv653utkgvb3tpt4j5edy4kpii

A Model of 3D Propagation in Discrete Cardiac Tissue

Jg Stinstra, Sf Roberts, Jb Pormann, Rs Macleod, Cs Henriquez
2006 Computers in cardiology  
Model 4 has the same geometry as Model 1 except the extracellular space was reduced from 25 volume % to 15 volume%. Finally, Model 5 has the same geometry as Model 4 but with central fiber missing.  ...  The removal of the fiber increased the overall extracellular space to be 33 volume %. Model 3 is the same as Model 2 with the lateral gap junctions removed.  ... 
pmid:17404606 pmcid:PMC1847422 fatcat:hl34t6emezb6digdhfymduy6ua

A Finite Element Method for Fully Nonlinear Water Waves

Xing Cai, Hans Petter Langtangen, Bjørn Fredrik Nielsen, Aslak Tveito
1998 Journal of Computational Physics  
Moreover, a simple domain imbedding precedure is introduced to solve problems with an obstacle in the water volume.  ...  The method is based on a transformation of the dynamic water volume onto a fixed domain. Regridding at each time step is thereby avoided.  ...  The possibly complicated geometry of the free surface normally requires regridding of the water volume at each time step, but we avoid this by a time dependent mapping of the water volume onto a simple  ... 
doi:10.1006/jcph.1998.9997 fatcat:wmc3poedincn3nj3ayngcetknq
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