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Books > Science & Mathematics > Mathematics > Algebra
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Iterative Splitting Methods for Differential Equations (Paperback)
Loot Price: R1,772
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Iterative Splitting Methods for Differential Equations (Paperback)
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series
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Iterative Splitting Methods for Differential Equations explains how
to solve evolution equations via novel iterative-based splitting
methods that efficiently use computational and memory resources. It
focuses on systems of parabolic and hyperbolic equations, including
convection-diffusion-reaction equations, heat equations, and wave
equations. In the theoretical part of the book, the author
discusses the main theorems and results of the stability and
consistency analysis for ordinary differential equations. He then
presents extensions of the iterative splitting methods to partial
differential equations and spatial- and time-dependent differential
equations. The practical part of the text applies the methods to
benchmark and real-life problems, such as waste disposal, elastics
wave propagation, and complex flow phenomena. The book also
examines the benefits of equation decomposition. It concludes with
a discussion on several useful software packages, including r3t and
FIDOS. Covering a wide range of theoretical and practical issues in
multiphysics and multiscale problems, this book explores the
benefits of using iterative splitting schemes to solve physical
problems. It illustrates how iterative operator splitting methods
are excellent decomposition methods for obtaining higher-order
accuracy.
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