Please use this identifier to cite or link to this item: http://ea.donntu.edu.ua:8080/jspui/handle/123456789/29226
Title: Parallel time step control of lines method for the evolution equations
Authors: Dmytriyeva, Olga
Huskova, Nadiia
Keywords: evolution equations
method of lines
Cauchy problem
parallel step control
block methods
τ-refinement
Issue Date: 2018
Abstract: The problems of obtaining solutions for partial differential equations with the help of the method of lines are considered, which is a semi-discrete method with discretization over spatial variables. Such an approach made it possible to effectively implement a large class of evolutionary equations. The problems of solving the received SODEs by collocation block methods are considered, allowing to provide an effective parallel implementation. Moreover, all the advantages of the solution (parallel step control, local error control, stability of the solution) are realized for the case of partial derivatives without significant increase in computational complexity.
URI: http://ea.donntu.edu.ua:8080/jspui/handle/123456789/29226
Appears in Collections:Кафедра прикладної математики та інформатики

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Dmytriyeva_Huskova_CAIT_2018.pdfThe problems of obtaining solutions for partial differential equations with the help of the method of lines are considered, which is a semi-discrete method with discretization over spatial variables. Such an approach made it possible to effectively implement a large class of evolutionary equations. The problems of solving the received SODEs by collocation block methods are considered, allowing to provide an effective parallel implementation. Moreover, all the advantages of the solution (parallel step control, local error control, stability of the solution) are realized for the case of partial derivatives without significant increase in computational complexity.519,83 kBAdobe PDFView/Open


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