Iterative Splitting Methods for Differential Equations - Geiser, Juergen
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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.…mehr

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Produktbeschreibung
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.
Autorenporträt
Juergen Geiser is a researcher in the Department of Mathematics at the Humboldt-University of Berlin. His research interests include numerical and computational analysis, partial differential equations, decomposition and discretization methods for hyperbolic and parabolic equations, optimization, scientific computing, and interface analysis.