This book is an introduction to the theory of shadowing of
approximate trajectories in dynamical systems by exact ones. This
is the first book completely devoted to the theory of shadowing. It
shows the importance of shadowing theory for both the qualitative
theory of dynamical systems and the theory of numerical methods.
Shadowing Methods allow us to estimate differences between exact
and approximate solutions on infinite time intervals and to
understand the influence of error terms. The book is intended for
specialists in dynamical systems, for researchers and graduate
students in the theory of numerical methods.
General
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