This book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching…
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"This second edition provides both established and new theories and methods of analysis in the-field of nonlinear mechanics - providing simpler solutions to extremely difficult problems in nonlinear mechanics. No other book concentrates specifically on the analysis of highly fle…
This second edition provides much-needed updates to the original volume. Like the first edition, it emphasizes the ideas behind the algorithms as well as their theoretical foundations and properties, rather than focusing strictly on computational details; at the same time, this …
This up-to-date reference/text examines the mathematical aspects of nonlinear wave propagation - emphasizing nonlinear hyperbolic problems - and introduces the most effective tools for the study of perturbation methods and for exploring global existence, singularity formation, a…
This monograph is devoted to the global existence and the lifespan of classical solutions to the Cauchy problem with small initial data for nonlinear heat equations, nonlinear wave equations and nonlinear Schrodinger equations. The topic has been investigated using a variety of …
