Results 161 to 170 of about 1,449,576 (203)

On the Method of Backward Steps of Carathéodory-Tonelli

Zeitschrift für Analysis und ihre Anwendungen, 1996
We study the convergence of a sequence of functions which has been introduced by Carathéodory and Tonelli in connection with the solvability of the Cauchy problem for ordinary differential equations.
DE PASCALE E, MARINO, Giuseppe, METAFUNE G.   +2 more
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Step-by-Step Method of Designing I.F. Amplifiers

1966
In the preceding chapters the various aspects of the design of intermediate frequency amplifiers for radio and television receivers have been considered in detail. Moreover, a method of designing such amplifiers has been developed which lends itself very well to systematic procedure. The object of this chapter is to present this systematic procedure in
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The Method of Fractionary Steps

1973
We are now going to study a new method of solving Equation (1.2). In fact, the following can also be applied to the solution of the discretized Equation (4.3).
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An improved method of voltage stepping

International Journal of Mass Spectrometry and Ion Physics, 1969
Abstract A unit providing sequential stepping over up to eleven mass positions is described. Operation may be in a straight sequence or in one with the reference mass monitored alternately with measurements at the other masses. Performance tests show that the latter mode of operation permits higher precision by virtue of the more frequent monitoring ...
C.E. Rees, D.K. Sullivan
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Fractional-Step Method Solution of Diffusive Wave Equation

Journal of Hydrologic Engineering, 2001
Flood routing modeling of one-dimensional unsteady flow in open channels is sometimes based on the numerical solution of the diffusive wave equation. This paper presents a computational method for the solution of the diffusive wave problem with lateral inflow, based on the fractional-step technique.
Moussa, Roger, Bocquillon, C.
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A Class of Multiderivative Hybrid One-step Methods

Acta Mathematicae Applicatae Sinica, English Series, 2002
This paper presents a class of hybrid one-step methods for initial value problems of ordinary differential equations. These methods involve the \(s\)th order derivative and \(s+ 1\) free parameters. The order of the algorithms satisfy \(s+ 1\leq p\leq 2s+ 2\). First, the cofficients of the methods are constructed.
Yang, Fengjian, Chen, Xinming, Zhang, Aiguo   +2 more
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Convergence of Step-by-step Methods for Non-linear Integro-Differential Equations

IMA Journal of Applied Mathematics, 1971
The theory of consistent step-by-step methods for solving Volterra integral equations is extended to nonsingular Volterra integro-differential equations. It is shown that standard step-by-step algorithms for these more general equations are convergent. Several numerical examples are included.
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Invariant curves of one-step methods

BIT, 1988
The author discusses the behavior of the approximate solution under a one-step method for a periodic solution of an autonomous differential equation \(\dot x(t)=f(x(t))\). Denote by \(\phi_ f\) the flow of f, i.e., \(\phi_ f(\tau,y)=x(\tau),\) where x is the solution with \(x(0)=y\).
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Adaptive Control of One-Step Methods

2002
In the previous chapter we met a number of one-step methods that allowed us to approximate the solution x ∈ C1 ([t0, T], R d ) of the initial value problem $$x'\, = \,f\left( {t,\,x} \right),\,\,\,\,\,\,\,x\left( {t_0 } \right)\, = \,x_0,$$ by a mesh function xΔ, for any given mesh Δ = {t0, t1,…, t n }, t 0 < t1 < … < t n = T.
Peter Deuflhard, Folkmar Bornemann
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A miniaturised single-step method of cell cloning

Journal of Immunological Methods, 1981
This paper describes a miniaturised method of cell cloning in Terasaki plates. It is rapid and technically simple enabling large numbers of putative clones to be tested. As Terasaki plates are designed for use in tissue typing procedures, the wells can be screened and the exact number of cells in any particular well can be seen.
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