Ordinary differential equation canonical form

Chapters 2-5 are concerned with concrete difference schemes for equations of elliptic, parabolic, and hyperbolic types. Chapter 3 focuses on homogeneous difference schemes for ordinary differential equations, by means of which we try to solve the canonical problem of the theory of difference schemes in which a primary family of difference schemes is specified (in such a case the availability of the family is provided by pattern functionals) and schemes of a desired quality should be selected within the primary family. This problem is solved in Chapter 3 using a particular form of the scheme and its solution leads us to conservative homogeneous schemes. [Pg.779]

ASYMPTOTIC EXPANSIONS FOR ORDINARY DIFFERENTIAL EQUATIONS, Wolfgang Wasow. Outstanding text covers asymptotic power series, Jordan s canonical form, turning point problems, singular perturbations, much more. Problems. 3B4pp. 5K x 8X. 65456-7 Pa. 8.95... [Pg.122]

Irvine, D. and Savageau, M., Efficient solution of nonlinear ordinary differential equations expressed in S-system canonical form, SIAM Journal of Numerical Analysis, Vol. 27, 1990, pp. 704-735. [Pg.432]

Example 5.1 Transformation of Ordinary Differential Equations into Their Canonical Form Apply the transformations defined by Eqs. (5.31) and (5.32) to the following ordinary differential equations ... [Pg.269]

In this section, we develop numerical solutions for a set of ordinary differential equations in their canonical form ... [Pg.282]

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