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An introduction to numerical analysis
, 2003Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science.
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Mathematical analysis and numerical methods for Caputo-Hadamard fractional diffusion-wave equations
Applied Numerical Mathematics, 2022Caixia Ou +3 more
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Numerical Analysis as a Topic in School Mathematics
2015Concerns about the divide between school mathematics and the discipline of mathematics are known in math education circles. At the heart of the debate is the sense that imperatives in school mathematics differ from those in the discipline of mathematics. In the former case, the focus is on remembering mathematical facts, mastering algorithms, and so on.
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Mathematical analysis and numerical simulations for the HSP70 synthesis model
Journal of Mathematical Chemistry, 2018The heat shock proteins (HSPs) protect the other proteins in the process of folding under stressful conditions such as oxygen deprivation, hypothermy or presence of alcohol. They have also an important role in tumour invasion. In this paper, the existence, uniqueness and permanence properties for the solution of the mathematical model which focuses on ...
Gülnihal Meral, Neslihan Nesliye Pelen
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Mathematical analysis and numerical simulation of the motion of a glacier
2005A numerical method for the simulation of the motion of a glacier in two and three dimensions is presented. Glacier ice is treated as an incompressible viscous fluid. The model equations are based on mass, momentum, energy conservation and a specific rheology law for ice (the so called Glen's flow law). In this study a simplified model due to Blatter[8],
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Mathematical Analysis and Numerical Simulations for a Model of Atherosclerosis
2016Atherosclerosis is a chronic inflammatory disease that occurs mainly in large and medium-sized elastic and muscular arteries. This pathology is essentially caused by the high concentration of low-density-lipoprotein (LDL) in the blood. It can lead to coronary heart disease and stroke, which are the cause of around 17.3 million deaths per year in the ...
Jorge Tiago +2 more
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Mathematical and Numerical Analysis of Some FSI Problems
2014In this chapter we deal with some specific existence and numerical results applied to a 2D/1D fluid–structure coupled model, for an incompressible fluid and a thin elastic structure. We will try to underline some of the mathematical and numerical difficulties that one may face when studying this kind of problems such as the geometrical nonlinearities ...
Maria Lukacova-Medvidova +2 more
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Numerical Mathematical Analysis
Mathematics of Computation, 1963James B. Scarborough, Samuel D. Conte
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Numerical Analysis--The Mathematics of Computing
Mathematics of Computation, 1970P. J. Oates +3 more
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European journal of applied mathematics, 2015
M. Sofonea, W. Han, S. Migórski
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M. Sofonea, W. Han, S. Migórski
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