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Urn Models and Beta-Splines

Ronald Goldman
1986 IEEE Computer Graphics and Applications  
Recently Barsky has introduced a new type of spline into CAGD called the beta-spline [6] , [7] , [8] .  ...  The more general notion of geometric continuity requires us to search for a new set of basis functions suitable for these new types of sglines. These basis functions are called beta-splines.  ... 
doi:10.1109/mcg.1986.276693 fatcat:lrwmjwsgxbfntlu4t2hcelqpfm

A discontinuous Galerkin approach for conservative modeling of fully nonlinear and weakly dispersive wave transformations

Mohammad Kazem Sharifian, Georges Kesserwani, Yousef Hassanzadeh
2018 Ocean Modelling  
Israwi (2010) derived a new 2D version of the GN system that possesses the 63 capability of accounting for the horizontal vorticity.  ...  More recently, Bonneton et al. (2011) 64 and Lannes and Marche (2015) derived a new system that is asymptotically equal to the 65 classic GN equations but is featured with a much simpler structure, which  ...  Acknowledgments 650 The authors are grateful for two anonymous reviewers for their insightful reviews, which  ... 
doi:10.1016/j.ocemod.2018.03.006 fatcat:k4cb7myhavgxhidyvuhcisi2jm

Tricritical behavior of the massive chiral Gross-Neveu model

Christian Boehmer, Michael Thies, Konrad Urlichs
2007 Physical Review D  
Using the derivative expansion, the grand canonical potential is cast into the form of a Ginzburg-Landau effective action.  ...  The phase diagram of the massive chiral Gross-Neveu model (the 1+1-dimensional Nambu-Jona-Lasinio model at large N) is investigated in the vicinity of the tricritical point.  ...  Finite m 0 introduces a new axis into the phase diagram which we label by γ = π N g 2 m 0 m , (4) following earlier work on the GN model [11, 13] .  ... 
doi:10.1103/physrevd.75.105017 fatcat:zdkt4bk6yvbhdoifspet3fqbaa

Laminar condensation on a moving drop. Part 2. Numerical solutions

J. N. Chung, P. S. Ayyaswamy, S. S. Sadhal
1984 Journal of Fluid Mechanics  
Good agreement of the fully transient numerical results with the singular perturbation approximation results of Part 1 lends credibility to a quasisteady treatment of the continuous phase.  ...  The fluid flow and thermodynamic variables are expanded as complete series of Legendre polynomials. The resulting transient momentum, energy and species equations are integrated numerically.  ...  The heat-flux continuity equation (62) must be recognized as only a surface condition.  ... 
doi:10.1017/s002211208400029x fatcat:gzeie3mgo5ftbfxleirehmyjt4

Time-dependent quantum-mechanical methods for molecular dynamics

Ronnie Kosloff
1988 The Journal of Physical Chemistry  
Methods of time propagation are described for time-dependent and time-independent Hamiltonians. The time-independent approaches are based on a polynomial expansion of the evolution operator.  ...  Academic: New York, 1982. Cambridge, 1982. (I 52) Sce, for example, the set of p-in Topics in Nonlinear Dymmics; Joma. S., Ed.; AIP Confer" Roceedings 46;  ...  The purpose of modeling is to gain insight into the mechanism of molecular phenomena. A simple calculation pointing to a possible theoretical interpretation is usually adequate.  ... 
doi:10.1021/j100319a003 fatcat:guf7d25gbndczmesjjxf6tiy5i

Anomalous Chained Turbulence in Actively Driven Flows on Spheres

Oscar Mickelin, Jonasz Słomka, Keaton J. Burns, Daniel Lecoanet, Geoffrey M. Vasil, Luiz M. Faria, Jörn Dunkel
2018 Physical Review Letters  
This new type of active turbulence is characterized by the self-assembly of finite-size vortices into linked chains of anti-ferromagnetic order, which percolate through the entire fluid domain, forming  ...  The analytical tractability of the theory is demonstrated through exact stationary solutions for the case of a spherical bubble geometry.  ...  Afterwards, the dynamics becomes quasilinear again with the flow settling into a new quasistationary pattern. These burst cycles are continuously repeated (movies 1-3).  ... 
doi:10.1103/physrevlett.120.164503 pmid:29756929 fatcat:swbks2xye5ggppzoz22prdnm4e

Scale space view of curve estimation

Probal Chaudhuri, J. S. Marron
2000 Annals of Statistics  
Our theoretical analysis provides new insights into nonparametric smoothing procedures and yields useful techniques for statistical exploration of features in the data.  ...  The family of smooth curve estimates indexed by the smoothing parameter can be represented as a surface called the scale space surface.  ...  Figure 3 provides visual insight into how solutions to the heat equation correspond to families of smooths.  ... 
doi:10.1214/aos/1016218224 fatcat:fzb65rbs75b3xk77bfchcp2bfi

Performance Analysis of Intelligent Reflective Surface Aided Wireless Communications [article]

Dulaj Gunasinghe, Dhanushka Kudathanthirige, Gayan Amarasuriya Aruma Baduge
2020 arXiv   pre-print
The fundamental performance metrics of an intelligent reflective surface (IRS)-aided wireless system are presented.  ...  Useful insights are obtained by analyzing the system performance for different severity of fading cases including spatially correlated fading.  ...  However, owing to the recent research advancements of meta-materials and meta-surfaces, a novel concept of coating physical objects such as building walls and windows with intelligent reflective surfaces  ... 
arXiv:2010.12544v1 fatcat:ru62gjal2zcy7l5meznam23kgu

Hydroelastic interaction of nonlinear waves with floating sheets

Vasily Kostikov, Masoud Hayatdavoodi, R. Cengiz Ertekin
2021 Theoretical and Computational Fluid Dynamics  
In the absence of any restriction on the nonlinearity of the wave field, number of surfaces, their sizes and rigidities, a wide range of wave–structure conditions are considered.  ...  Also, the presence of relatively smaller floating plates upwave modifies remarkably the deformation and response of the downwave floating surface.  ...  Ronald Riggs of the University of Hawaii for comments and suggestions received during the course of writing this manuscript.  ... 
doi:10.1007/s00162-021-00571-1 fatcat:qp5awmnsize6zhlxwyszu23ulu

The kinematic formula in Riemannian homogeneous spaces

Ralph Howard
1993 Memoirs of the American Mathematical Society  
This could be done by using the transfer principle to "move" the result from R n , where it is known, to the other space forms. However, this does not lead to any new insights.  ...  Then a good deal of energy in integral geometry has gone into computing integrals of the following type (1-1) G I(M ∩ gN ) Ω G (g) where I is an "integral invariant" of the submanifold M ∩ gN .  ...  The coarea formula gives the integral of this function in terms of an integral over M involving the Jacobian Jf of f which we now define. x is a regular value of f and e 1 , . . . , e n is an orthonormal  ... 
doi:10.1090/memo/0509 fatcat:ijno24fijfftnngwnlbrsg7uqy

A discontinuous Galerkin method for a new class of Green–Naghdi equations on simplicial unstructured meshes

A. Duran, F. Marche
2017 Applied Mathematical Modelling  
Working with a new class of asymptotically equivalent equations, which have a simplified analytical structure, we consider a decoupling strategy: we approximate the solutions of the classical shallow water  ...  In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly dispersive Green-Naghdi  ...  Acknowledgements The second author acknowledges partial support from the ANR-13-BS01-0009-01 BOND.  ... 
doi:10.1016/j.apm.2017.01.030 fatcat:z6fbgahpnnfjdgqzhjil3imcb4

A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

Petter Säterskog
2018 SciPost Physics  
size and curvature of the Fermi surface.  ...  We study a model in 1+2 dimensions composed of a spherical Fermi surface of N_fNf flavors of fermions coupled to a massless scalar.  ...  Acknowledgements The author wishes to thank Andrey Bagrov, Alexander Balatsky, Bartosz Benenowski, Blaise  ... 
doi:10.21468/scipostphys.4.3.015 fatcat:yfeuugqh2bcjjkizw7niymgjoy

Critical behavior of Dirac fermions from perturbative renormalization

Bernhard Ihrig, Luminita N. Mihaila, Michael M. Scherer
2018 Physical review B  
, building a strong case for the validity of these values.  ...  Here, we perform a comprehensive analysis of the Ising Gross-Neveu universality classes based on the recently achieved four-loop perturbative calculations.  ...  In view of the recent developments in computational technology and the mathematical insights into the structure of Feynman diagrams, this may be challenging but possible.  ... 
doi:10.1103/physrevb.98.125109 fatcat:u5mntlbv3ve6bpybsgujz4ruoi

Nonlocality-induced surface localization in Bose-Einstein condensates of light [article]

Marcello Calvanese Strinati, Frank Vewinger, Claudio Conti
2021 arXiv   pre-print
By resorting to a numerical procedure inspired by the Newton-Raphson method, we simulate the time-independent Gross-Pitaevskii equation and provide evidence of surface localization induced by nonlocality  ...  In the last decades, a great amount of work has been focused on ultracold atoms in optical lattices, which provide a flexible platform to simulate peculiar phases of matter both for fermionic and bosonic  ...  In particular, the ground state (blue dots) for gN 0 = 0 continuously evolves into the ground state for large gN 0 .  ... 
arXiv:2112.05446v1 fatcat:xh4cky7dfrhrpe2ghemca4bk3m

Observability under recurrent loss of data

1992 Journal of Guidance Control and Dynamics  
approach for having an insight into the problem of loss of observability.  ...  the aforementioned) that are related to the character- istic polynomial of the state transition matrix in a discrete-time setting or of the system matrix in a continuous-time setting, and 3) a system-theoretic  ... 
doi:10.2514/3.20835 fatcat:ln2xffalkvdklpu3d6jg33ckb4
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