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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.
Di Martino, B. +3 more
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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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Numerical Analysis A Mathematical Introduction
2002Abstract Numerical analysis explains why numerical computations work, or fail. This book is divided into four parts. Part I starts with a guided tour of floating number systems and machine arithmetic. The exponential and the logarithm are constructed from scratch to present a new point of view on questions well-known to the reader, and ...
Michelle Schatzman, John Taylor
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Numerical Analysis vs. Mathematics
Science, 1965I hope I have shown not that mathematicians are incompetent or wrong, but why I believe that their interests, tastes, and objectives are frequently different from those of practicing numerical analysts, and why activity in numerical analysis should be evaluated by its own standards and not by those of pure mathematics.
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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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Numerical Analysis--The Mathematics of Computing
Mathematics of Computation, 1970D. W. Arthur +3 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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Numerical Computing and Mathematical Analysis
Journal of the Operational Research Society, 1976David K. Smith, Stephen M. Pizer
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Numerical Mathematical Analysis
Mathematics of Computation, 1967Samuel D. Conte, James B. Scarborough
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