Results 241 to 250 of about 5,627,066 (294)

Taylor Series Numerical Integrator

2008 Second UKSIM European Symposium on Computer Modeling and Simulation, 2008
The simulation language TKSL and modern Taylor series method has proved to be very powerful computing tools for extremely exact, stable and fast numerical solutions of systems of differential equations. In a natural way, TKSL also involves solutions of problems that can be reduced to solving a system of differential equations.
Michal Kraus 0001, Jirí Kunovsky, Vaclav Satek   +2 more
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Taylor Series and Power Series

2009
In Chap. 5 we showed that the sum of a geometric series is given by $$1+x+x^{2}+x^{3}+\cdots=\frac{1}{1-x}$$ This formula holds true for ...
Klaus Weltner, Peter Schuster, Wolfgang J. Weber, Jean Grosjean   +3 more
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From Taylor series to Taylor models

AIP Conference Proceedings, 1997
An overview of the background of Taylor series methods and the utilization of the differential algebraic structure is given, and various associated techniques are reviewed. The conventional Taylor methods are extended to allow for a rigorous treatment of bounds for the remainder of the expansion in a similarly universal way.
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Summation of Series, Taylor Series

1994
A geometric series is convergent if its common ratio x satisfies |x| < 1. It is divergent if |x| ≥ 1. For a convergent geometric series, its sum is known in closed form: (3.1.1)
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Series, Taylor — Maclaurin Series

1976
By a series we mean a set of numbers a1, a2, a3… such that we have a rule for calculating a2, a3 etc. from the first number a1.Series occur in many problems in chemistry such as specific heats of solids, the theory of black-body radiation, solution of the Schrodinger equation, statistical thermodynamics and Fourier series in X-ray crystallography.
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Taylor Series

2011
Michael Oberguggenberger, Alexander Ostermann   +1 more
  +4 more sources

On Taylor Series with Gaps

Journal of the London Mathematical Society, 1953
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The Taylor Series.

The American Mathematical Monthly, 1932
Norman Miller, P. Dienes
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On Taylor Series and Stiff Equations

ACM Transactions on Mathematical Software, 1980
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Taylor Series I and Taylor Series II.

The American Mathematical Monthly, 1972
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