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Titlebook: Numerical Boundary Value ODEs; Proceedings of an In Uri M. Ascher,Robert D. Russell Conference proceedings 1985 Birkh�user Boston, Inc. 198

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Discretizations with Dichotomic Stability for Two-Point Boundary Value Problemsand also various discretizations for first order systems, including those obtained by piecewise collocation and implicit Runge-Kutta type formulae. The last two examples were of multistep schemes, of such a form that they could be used in a sequential stepping mode, as would be done in shooting methods, or more generally in multiple shooting.
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Important theoretical and practical advances have been made in a number or fronts, although they are not adequately described in any tt‘xt currently available. With this in mind, we organized an international workshop, devoted solely to this topic. Tht‘ workshop took place in Vancouver, B.C., Canada
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A Finite Difference Method for the Basic Stationary Semiconductor Device Equations an exceedingly large number of grid-points. We establish the relation of this scheme to exponentially fitted schemes and give a convergence proof. Moreover the construction of efficient grids is discussed.
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The Role of Conditioning in Shooting Techniqueswn that there exist subproblems that are at least as well conditioned as the original problem. Two examples are presented for which the shooting approach leads to a substantial simplification in the analysis.
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On the Simultaneous Use of Asymptotic and Numerical Methods to Solve Nonlinear Two Point Problems wiand numerical analysis and computational experiments. The presentation will, regrettably, be removed from both direct applications and substantial achievements. Gradually, we will, however, become more specific and ultimately will discuss some currently tractible problems.
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Solution of Premixed and Counterflow Diffusion Flame Problems by Adaptive Boundary Value Methodsrflow diffusion flame. In both cases the flow is essentially one-dimensional and the governing equations can be reduced to a set of coupled nonlinear two-point boundary value problems with separated boundary conditions.
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