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  • 1
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 77 (1995), S. 2937-2944 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The sheath zone near a plane probe inmersed in an electronegative plasma is analyzed. A theoretical model for the sheath zone was used to derive a new expression for the Bohm criterion. The new expression holds at any negative probe potential. Solving the model equations allows one to obtain a wealth of information including the spatial distribution of various quantities (electric field, potential, and particle densities), the sheath thickness, and the floating potential. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 68 (1990), S. 5507-5510 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: In this paper we study the creation process of a cylindrical pulsed argon plasma. A new numerical model to simulate the plasma evolution during the creation process has been developed. This model is based on the solution of the continuity equations for ions and electrons together with the Poisson's equation. The good agreement obtained between numerical and experimental results of electron density as a function of the time confirms the validity of the hypothesis made in the model proposed.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1089-7623
    Source: AIP Digital Archive
    Topics: Physics , Electrical Engineering, Measurement and Control Technology
    Notes: A new smoothing method has been used to obtain the electron energy distribution function (EEDF) in plasmas by evaluating the second derivative of the I-V characteristic of a probe inmersed in the plasma. The smoothing method is based on the use of the instrument function. A comparison with other smoothing techniques has permitted us to show the advantages in using the new smoothing method. The experimental setup used to measure the I-V probe characteristic fast and accurately is also presented. The smoothing method was tested by measuring the EEDF in an argon dc discharge at different conditions of the gas pressure and discharge current. The plasma parameters (electron density and temperature) evaluated from the EEDF were compared with those evaluated by using other classic diagnostic methods obtaining a quite good consistency among them. © 1995 American Institute of Physics.
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  • 4
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 91 (2002), S. 2587-2593 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A simple model for the sheath structure which takes place in the surroundings of a metallic plane is used to analyze the Bohm criterion in electronegative plasmas. As it is well known, the Bohm criterion which determines the electric potential at the sheath edge can be multivalued in electronegative plasmas. In this article we analyze which value is the correct one. It is shown that when the positive ion current provided by choosing the highest potential at the sheath edge is equal to the one obtained by choosing the lowest, a transition in the sheath dynamics is produced. A new statement of the Bohm criterion which has great advantages is proposed. © 2002 American Institute of Physics.
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  • 5
    Electronic Resource
    Electronic Resource
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 80 (1996), S. 4282-4291 
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The experimental results obtained in an Ar+I2 dc discharge during a transient process in which the iodine concentration decreases with time are presented. The following quantities have been measured during the process: electron energy distribution function, electron density and temperature, plasma potential and floating potentials. The temporal evolution of such quantities is analyzed. A transition from electronegative to electropositive plasma is observed. The floating potential values measured during the process are compared with those obtained from a theoretical model, obtaining a quite good consistency between both values. The floating potential is shown to be a powerful tool in the analysis of electronegative plasmas. © 1996 American Institute of Physics.
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  • 6
    Electronic Resource
    Electronic Resource
    Oxford, UK : Blackwell Publishing Ltd
    Annals of the New York Academy of Sciences 772 (1995), S. 0 
    ISSN: 1749-6632
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Natural Sciences in General
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Applied mathematics & optimization 41 (2000), S. 227-236 
    ISSN: 1432-0606
    Keywords: Key words. Nonlinear equations in Banach spaces, Second-order methods, Newton's method, A priori error bounds. AMS Classification. 47H17, 65J15.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract. The convergence of new second-order iterative methods are analyzed in Banach spaces by introducing a system of recurrence relations. A system of a priori error bounds for that method is also provided. The methods are defined by using a constant bilinear operator A , instead of the second Fréchet derivative appearing in the defining formula of the Chebyshev method. Numerical evidence that the methods introduced here accelerate the classical Newton iteration for a suitable A is provided.
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 98 (1998), S. 385-397 
    ISSN: 1573-2878
    Keywords: Chebyshev method ; nonlinear equations in Banach spaces ; third-order methods ; recurrence relations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we give sufficient conditions ensuring the convergence of the Chebyshev method in Banach spaces. We use a new system of recurrence relations which simplifies those given by Kantorovich for the Newton method or those given by Candela and Marquina for the Chebyshev and Halley methods.
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 100 (1999), S. 311-326 
    ISSN: 1573-2878
    Keywords: Nonlinear equations ; convex acceleration of Newton's method ; Newton–Kantorovich assumptions ; majorizing sequences
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this study, we use a convex acceleration of Newton's method (or super-Halley method) to approximate solutions of nonlinear equations. We provide sufficient convergence conditions for this method in three space settings: real line, complex plane, and Banach space. Several applications of our results are also provided.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 104 (2000), S. 501-515 
    ISSN: 1573-2878
    Keywords: Chebyshev method ; nonlinear equations in Banach spaces ; third-order methods ; multipoint iterations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper, we introduce a numerical method for nonlinear equations, based on the Chebyshev third-order method, in which the second-derivative operator is replaced by a finite difference between first derivatives. We prove a semilocal convergence theorem which guarantees local convergence with R-order three under conditions similar to those of the Newton-Kantorovich theorem, assuming the Lipschitz continuity of the second derivative. In a subsequent theorem, the latter condition is replaced by the weaker assumption of Lipschitz continuity of the first derivative.
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