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Quasi-Static State Analysis of Differential, Difference, Integral and Gradient Systems (Paperback)
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Quasi-Static State Analysis of Differential, Difference, Integral and Gradient Systems (Paperback)
Series: Courant Lecture Notes
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This book is based on a course on advanced topics in differential
equations given in Spring 2010 at the Courant Institute of
Mathematical Sciences. It describes aspects of mathematical
modeling, analysis, computer simulation, and visualization in the
mathematical sciences and engineering that involve singular
perturbations. There is a large literature devoted to singular
perturbation methods for ordinary and partial differential
equations, but there are not many studies that deal with difference
equations, Volterra integral equations, and purely nonlinear
gradient systems where there is no dominant linear part. Designed
for a one-semester course for students in applied mathematics, it
is the purpose of this book to present sufficient rigorous methods
and examples to position the reader to investigate singular
perturbation problems in such equations. Titles in this series are
co-published with the Courant Institute of Mathematical Sciences at
New York University.|This book is based on a course on advanced
topics in differential equations given in Spring 2010 at the
Courant Institute of Mathematical Sciences. It describes aspects of
mathematical modeling, analysis, computer simulation, and
visualization in the mathematical sciences and engineering that
involve singular perturbations. There is a large literature devoted
to singular perturbation methods for ordinary and partial
differential equations, but there are not many studies that deal
with difference equations, Volterra integral equations, and purely
nonlinear gradient systems where there is no dominant linear part.
Designed for a one-semester course for students in applied
mathematics, it is the purpose of this book to present sufficient
rigorous methods and examples to position the reader to investigate
singular perturbation problems in such equations. Titles in this
series are co-published with the Courant Institute of Mathematical
Sciences at New York University.
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