Results 281 to 290 of about 1,914,149 (315)
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Foundations of Computational Mathematics, 2015
We present a numerical method for approximating the solutions of degenerate parabolic equations with a formal gradient flow structure. The numerical method we propose preserves at the discrete level the formal gradient flow structure, allowing the use of
C. Cancès, Cindy Guichard
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We present a numerical method for approximating the solutions of degenerate parabolic equations with a formal gradient flow structure. The numerical method we propose preserves at the discrete level the formal gradient flow structure, allowing the use of
C. Cancès, Cindy Guichard
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Mathematical and Numerical Analysis of a Tsunami Problem
Mathematical Models and Methods in Applied Sciences, 2003In this paper, we present a tsunami model based on the displacement of the lithosphere and the mathematical and numerical analysis of this model. More precisely, we give an existence and uniqueness result for a problem which models the flow and formation of waves at the time of a submarine earthquake in the vicinity of the coast.
Pierre Orenga +3 more
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Mean Field Games and Applications: Numerical Aspects
Lecture notes in mathematics, 2020The theory of mean field games aims at studying deterministic or stochastic differential games (Nash equilibria) as the number of agents tends to infinity.
Y. Achdou, M. Laurière
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Machine Learning and Computational Mathematics
Communications in Computational Physics, 2020Neural network-based machine learning is capable of approximating functions in very high dimension with unprecedented efficiency and accuracy. This has opened up many exciting new possibilities, not just in traditional areas of artificial intelligence ...
Weinan E
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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 ...
Grandmont, C. +2 more
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Mathematical theory and numerical analysis of bioluminescence tomography
Inverse Problems, 2006Molecular imaging is widely recognized as the main stream in the next generation of biomedical imaging. Bioluminescence tomography (BLT) is a rapidly developing new area of molecular imaging. The goal of BLT is to provide quantitative three-dimensional reconstruction of a bioluminescent source distribution within a small animal from optical signals on ...
Wenxiang Cong, Ge Wang, Weimin Han
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Mathematical rigor---a prerequisite for numerical analysis?
Proceedings of the 1966 21st national conference on -, 1966Frequently mathematical errors can be attributed to applying a theorem or using a formula in a situation which does not meet all the initial requirements. An obvious example would be the use of the Pythagorean theorem to compute the length of the longest side of a scalene triangle. Such trivial mistakes are rarely made.
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Mathematical and numerical analysis of classes of property models
Fluid Phase Equilibria, 2006A general analysis is presented to focus on the mathematical and numerical elements of property models for stand-alone results as well as within other calculations. This includes listing all of the equations that constitute a property model and articulating the sets of known and unknown variables for given problems.
Núria Muro-Suñé +4 more
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Numerical analysis and high school mathematics
The Mathematics Teacher, 1957At least one method now taught “should be relegated to the class of useless objects.”
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Mathematical and Numerical Analysis in Support of Scientific Research. [PDF]
, 1980 Abstract : This report is presented to give a description of the mathematical and numerical analysis effort in support of the Air Force scientists engaged in basic research in the environmental sciences. The scope of problems reported both in the particular discipline supported and the type of support is quite broad.
Rahul M Rao +4 more
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