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quarteroni mathematical modelling human cardiovascular system 2019

Type:: E-books
Files:: 3
Size:: 40.1 MB
Uploaded On:: Jan. 16, 2023, 3:24 p.m.
Added By:: andryold1
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Info Hash:: C86511AF553A3477A05BD55FF6F27F46B8B43179

Textbook in PDF format Mathematical and numerical modelling of the human cardiovascular system has attracted remarkable research interest due to its intrinsic mathematical difficulty and the increasing impact of cardiovascular diseases worldwide. This book addresses the two principal components of the cardiovascular system: arterial circulation and heart function. It systematically describes all aspects of the problem, stating the basic physical principles, analysing the associated mathematical models that comprise PDE and ODE systems, reviewing sound and efficient numerical methods for their approximation, and simulating both benchmark problems and clinically inspired problems. Mathematical modelling itself imposes tremendous challenges, due to the amazing complexity of the cardiovascular system and the need for computational methods that are stable, reliable and efficient. The final part is devoted to control and inverse problems, including parameter estimation, uncertainty quantiﬁcation and the development of reduced-order models that are important when solving problems with high complexity, which would otherwise be out of reach

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Quarteroni A. Algorithms for a New World...2022.pdf 1.8 MB
Quarteroni A. Modeling Reality with Mathematics 2022.pdf 3.8 MB
Quarteroni A. Mathematical Modelling of the Human Cardiovascular System 2019.pdf 34.5 MB

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quarteroni mathematical modelling human cardiovascular system 2019

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