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Book 1989done in terms of differential equations. Once this formulation is accomplished, the translation of the governing differential equations into accurate, stable, and physically realistic difference equations can be a formidable task. By comparison, the numerical evaluation of these difference equationsBRAND 发表于 2025-3-22 00:23:42
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Ordinary Differential Equations,c difference equations from ordinary differential equations. A secondary purpose is to develop the proper ideas and procedures for later use in deriving difference equations from partial differential equations.哎呦 发表于 2025-3-22 22:38:22
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Hyperbolic Equations,l be functions of x, y, ⌽, ∂⌽/∂x, and ∂ø/∂y. For b. − 4ac > 0, the equation is hyperbolic and two families of real characteristics exist. As mentioned previously, characteristics are lines across which derivatives of the dependent variables may be discontinuous and along which infinitesimal disturba实施生效 发表于 2025-3-23 07:30:44
Applications,e is to demonstrate the use of the basic methods and the interactions between the physical and mathematical formulations of the problem. Each section begins with a brief description of a problem, especially emphasizing certain aspects of the problem which need to be approximated in order to obtain a