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## ENVIRONMENTAL AND LIFE SCIENCES PROBLEMS. (2005)

### Citations

1794 |
Computer Simulation of Liquids
- Allen, Tildesley
- 1987
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Citation Context ... N, n ≥ 3 and {εn, n ∈ N} is a white noise. So, we proved that the voltage induced by the cavitation bubbles in liquids depends on the liquids and on the power of the ultrasonic generator. References =-=[1]-=- A. Barbulescu,Time series, with applications, Junimea, Iaşi, 2002 (in Romanian). [2] A. Barbulescu, Some models for the voltage, Analele Ştiinţifice ale Universitaţii Ovidius, Seria Matematica, v... |

463 |
The Stopping and Range
- Ziegler, Biersack, et al.
- 1985
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Citation Context ...e Galerkin systems by preconditioning, Int. J. Comput. Math., 51 (1994), 127. [20] C. Popa, Preconditioning conjugate gradient method for non-symmetric systems, Int. J. Comput. Math., 58 (1995), 117. =-=[21]-=- Gh. Juncu, I. Iliuta, Preconditioned cg-like methods for solving non-linear convection-diffusion equations, Int. J. Num. Meth. Heat Fluid Flow, 5 (1995), 239. [22] Gh. Juncu, Preconditioning by appro... |

296 |
Computer experiments on classical fluids. I. Thermodynamical properties of LennardJones molecules
- Verlet
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Citation Context ...linear equations as they occur in practical problems, J. Comput. Phys., 44 (1981), 134. [18] D. Adam, Mesh independence of Galerkin approach by preconditioning, Int. J. Comput. Math., 58 (1989), 117. =-=[19]-=- C. Popa,Mesh independence of the condition number of discrete Galerkin systems by preconditioning, Int. J. Comput. Math., 51 (1994), 127. [20] C. Popa, Preconditioning conjugate gradient method for n... |

67 |
Diatomic molecules according to the wave mechanics.
- Morse
- 1929
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Citation Context ...he wing is close to the ground. 1. Introduction The problem of the oscillatory wings in subsonic flow (and implicitly in incompressible flow) was studied, among others by Watkins, Runyan and Woolston =-=[14]-=-, Laschka [12], and Landahl [11]. In their theory the integral equation, originally performed by Küssner [10], is obtained by determining the acceleration potential due to a continuous distribution o... |

41 |
Some Multistep Methods for Use in Molecular Dynamics
- Beeman
- 1976
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Citation Context ...+ ∫ ∞ 0 cos ω̃u (u2 +̟2y20) 3/2 du− i ∫ ∞ 0 sin ω̃u (u2 +̟2y20) 3/2 du. (29) The integrals from the right hand part of (29) represent the sine and cosine Fourier transforms of (u2 +̟2y20) −3/2 and in =-=[3]-=- one shows that∫ ∞ 0 cos ω̃u (u2 +̟2y20) 3/2 du = ω̃ ̟ |y0|K1 (ω̟̃ |y0|) , (30)∫ ∞ 0 sin ω̃u (u2 +̟2y20) 3/2 du = π 2 ω̃ ̟ |y0| (L−1 (ω̟̃ |y0|)− I1 (ω̟̃ |y0|)) , (31) where L−1 is a Strouve function a... |

24 |
Computer “experiments” on classical fluids. II. Equilibrium correlation functions.
- Verlet
- 1968
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Citation Context ... preconditioning, Int. J. Comput. Math., 58 (1989), 117. [19] C. Popa,Mesh independence of the condition number of discrete Galerkin systems by preconditioning, Int. J. Comput. Math., 51 (1994), 127. =-=[20]-=- C. Popa, Preconditioning conjugate gradient method for non-symmetric systems, Int. J. Comput. Math., 58 (1995), 117. [21] Gh. Juncu, I. Iliuta, Preconditioned cg-like methods for solving non-linear c... |

20 |
Computer Simulation Methods in Theoretical
- Heermann
- 1990
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Citation Context ...licitly in incompressible flow) was studied, among others by Watkins, Runyan and Woolston [14], Laschka [12], and Landahl [11]. In their theory the integral equation, originally performed by Küssner =-=[10]-=-, is obtained by determining the acceleration potential due to a continuous distribution of doublets on the wing. Latter, L. Dragoş [4] studied the problem of oscillating thick wings by means of the ... |

15 |
Tight-Binding Models and Density-Functional Theory, Phys
- Foulkes, Haydock
- 1989
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Citation Context ...sense is to use a symmetric and positive definite matrix (SPD, for short) P with a decomposition of the form (e.g. Cholesky) P = CCt. (3) The preconditioned version of (1) can be written as (see e.g. =-=[7]-=-, [8]) (C−1AC−t)(Ctx) = C−1b⇔ Âx̂ = b̂, (4) with Â = C−1AC−t, x̂ = Ctx, b̂ = C−1b. (5) Then, the Preconditioned CGN algorithm (PCGN, for short), i.e. CGN applied to the preconditioned system (4)–(5)... |

6 |
de la Rubia
- Nordlund, Ghaly, et al.
- 1998
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Citation Context ...inciples and Selected Applications, Butterworth-Heinemann, 1991. [14] J. Roumeliotis, A boundary integral method applied to Stokes flow, Ph. D. Thesis, University of New South Wales, Australia, 2000. =-=[15]-=- R. Tal (Thau), D.N. Lee, W.A. Sirignano, Heat and momentum transfer around a pair of spheres in viscous flow, Int. J. Heat Mass Transfer, 27 (1984), 1953. [16] P. Sonneveld, CGS, A fast Lanczos–type ... |

4 |
Dynamics of Radiation Damage in a Body-Centered Cubic Lattice
- Erginsoy, Vineyard, et al.
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Citation Context ...r the reader to [4, 5] for further details. In the inverse ECG problem one attempts to determine from voltage measurements on a person’s torso the underlying electric behaviour of the heart, see e.g. =-=[6]-=-. One approach is the so called cardiac imaging where one tries to re-construct from the measurements the electric potential on the epicardium, the outer surface of the heart. ∗ Deparment for Sensor T... |

3 |
Ion-beam induced atomic transport through bi-layer interfaces of lowand medium-Z metals and their
- Bolse
- 1994
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Citation Context ...esents the differential Laplace operator. The equations like (1) are frequently used to study the space configuration of the planar lipid bilayer and its free energy response to the deformation ([6], =-=[5]-=-, [7]). Briefly, the bilayer lipidic membranes (BLM) is a biological sheet like structure that consists in two lipidic monolayer combined tail to tail. The monolayers can be slightly stretched or comp... |

3 |
Algorithms for molecular dynamics simulations of keV particle bombardment
- Smith, Harrison
- 1989
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Citation Context ...1o) the preconditioned conjugate gradient squared (PCGS) [16] and (2o) multigrid (MG). The preconditioners used are the incomplete LU factorisation (with two extra diagonals; algorithm IC (1, 3) from =-=[17]-=-) and the multigrid approximation (two multigrid cycles) of the symmetric part of the discrete operator E2. These preconditioners are similar with those analysed theoretically in [18–20] and tested ex... |

3 |
Use of neighbor lists in molecular dynamics
- Thompson
- 1983
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Citation Context ...toff radii are rc = 2.5σ for the Lennard-Jones, rc = 1.8re, about 5 Å for the Morse, and around 3 Å for the ZBL potential. A second step in reducing computational time is the use of a neighbor list =-=[18]-=-. The neighbor list keeps track of the particles located just outside the cutoff radius of a certain particle, to minimize the search for interaction candidates. Given the small number of particles us... |

2 |
de la Rubia, Calibrating a multi-model approach to defect production in high-energy collision cascades
- Heinisch, Singh, et al.
- 1994
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Citation Context ...symmetry classes, Soós and Simionescu studied in [15] the case of 6-mm type crystals. This case is important, due to its complexity from theoretical point of view, and its practical applications. In =-=[8, 9]-=- we obtained for 6-mm type crystals the plane wave velocities in closed form, analyzed the directions of polarization, defined new electromechanical coupling coefficients, and demonstrated the influen... |

2 |
Atomic displacement functions of cubic metals
- Jung
- 1983
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Citation Context ...-mail: juncugh@netscape.net, juncu@easynet.ro 104 gheorghe juncu U 8 L L1 2 d1 d2 r z Fig. 1. Schematic of the problem. Rushton and Davies [8], Haber et al. [9], Hetsroni and Haber [10] and Zinchenko =-=[11]-=-. A detailed account of the work done on the problem of two spheres external to each other is given by Happel and Brenner [12] and Kim and Karrila [13]. We restricted our citation only to problems sim... |

2 |
New Mechanism of Defect Production in Metals: A Molecular-Dynamics Study of Interstitial-Dislocation-Loop Formation at High-Energy Displacement Cascades, Phys
- Rubia, Guinan
- 1991
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Citation Context ... the cooling down, the crystal is usually left with a large quantity of defects. The defects can vary from vacancies and interstitial atoms to complex interstitialdislocation loops and volume defects =-=[11, 16]-=-. If the lattice temperature is high enough, many of these defects will relax by thermally activated migration [9]. This is the so called relaxation phase of the collision cascade. The type of damage ... |

1 |
de la Rubia, Displacement Damage
- Averback, Diaz
- 1997
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Citation Context ...alid solution for Test 3 and Test 4 images. For Test 1 and 2, KA found some images which are affected by noise (see Figure 10), which is common in (classical) Kaczmarz image reconstructions (see [3], =-=[2]-=-). This noise is making further improvements difficult. For Test 3 and Test 4 it has no satisfactory results. FHA performed much better than PSO and a little better than KA (see Figure 11). Reconstruc... |

1 |
Some Multistep Methods for Use in Molecular Dynamics Calculations
- Berendsen
- 1984
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Citation Context ...e defined as J = G V (20) the following expression J = lim Γ→0 ∫ Γ [ (ω + T ) dx2 − σijnj ∂ui ∂xi dΓ ] (21) known in the literature as J -integral for the dynamic case. For the quasi-static case Rice =-=[4]-=- showed that the corresponding J -integral is path independent. In dynamic case when the crack propagation is steady-state, i.e. ∂ui∂t = 0, Eq. (21) is also path independent. 4. Crack velocity and acc... |

1 |
molecular dynamics simulation 253
- Soc
- 1931
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Citation Context ...(2000), No.3, pp. 1119–1125. [11] Smart J.L. et al., Analysis of synaptic transmission in the neuromuscular junction using a continuum finite element model, Biophysics. J., 75 (1998), pp. 1679– 1688. =-=[12]-=- Tai, K. et al., Finite element simulations of acetylcholine diffusion in the neuromuscular junction, Biophysics, J., 64 (2003), pp. 2234–2241. Proceedings of the Fourth Workshop on Mathematical Model... |

1 |
et al., The MDRANGE program, V1.0-V1.83b, http://beam.helsinki.fi/ knordlun/mdh/mdh program.html
- Nordlund
- 2002
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Citation Context ...nd discussion The simulations were performed on a personal computer with an Intel Celeron processor running at 2.4 GHz clock speed, using an in house program written in C based on the MDRANGE program =-=[13]-=-. The equilibrium state of the system is prepared by equilibrating 1 000 copper atoms located on a fcc crystalline lattice. In the initial displacement calculation, periodic boundary conditions and a ... |