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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Computational Differential Equations (Paperback, Revised)
Loot Price: R3,211
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Computational Differential Equations (Paperback, Revised)
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This is a two volume introduction to the computational solution of
differential equations using a unified approach organized around
the adaptive finite element method. It presents a synthesis of
mathematical modeling, analysis, and computation. The goal is to
provide the student with theoretical and practical tools useful for
addressing the basic questions of computational mathematical
modeling in science and engineering: How can we model physical
phenomena using differential equations? What are the properties of
solutions of differential equations? How do we compute solutions in
practice? How do we estimate and control the accuracy of computed
solutions? The first volume begins by developing the basic issues
at an elementary level in the context of a set of model problems in
ordinary differential equations. The authors then widen the scope
to cover the basic classes of linear partial differential equations
modeling elasticity, heat flow, wave propagation and
convection-diffusion-absorption problems. The book concludes with a
chapter on the abstract framework of the finite element method for
differential equations. Volume 2, to be published in early 1997,
extends the scope to nonlinear differential equations and systems
of equations modeling a variety of phenomena such as
reaction-diffusion, fluid flow, many-body dynamics and reaches the
frontiers of research. It also addresses practical implementation
issues in detail. These volumes are ideal for undergraduates
studying numerical analysis or differential equations. This is a
new edition of a 1988 text of 275 pages by C. Johnson.
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