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Iterative Splitting Methods for Differential Equations
Paperback
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computi
ISBN13: 9781138111905
Publisher: CRC Press
Published: May 31 2017
Pages: 320
Weight: 1.01
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
This work 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. The author analyzes the stability and consistency of the iterative splitting method for ODEs and extends the method to PDEs and spatial- and time-dependent differential equations. He also presents the numerical results of benchmark and real-life applications, including elastics wave propagation and complex flow phenomena.
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