graphs of solutions
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21: Bibliography C
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Analytical solution of a model for complex food webs.
Phys. Rev. E 65 (3), pp. (030901–1)–(030901–4).
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Work Group of Computational Mathematics, University of Kassel, Germany.
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Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity.
Phys. Rev. A 62 (063610), pp. 1–10.
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Nonclassical Symmetry Reductions and Exact Solutions for Physically Significant Nonlinear Evolution Equations.
In Nonlinear and Chaotic Phenomena in Plasmas, Solids and Fluids
(Edmonton, AB, 1990), W. Rozmus and J. A. Tuszynski (Eds.),
pp. 72–79.
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Department of Computer Science, University of Victoria, Canada.
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22: 10.74 Methods of Computation
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►As described in §3.7(ii), to insure stability the integration path must be chosen in such a way that as we proceed along it the wanted solution grows in magnitude at least as fast as all other solutions of the differential equation.
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►Methods for obtaining initial approximations to the zeros include asymptotic expansions (§§10.21(vi)-10.21(ix)), graphical intersection of
graphs in (e.
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