### The polygonal method of solving the differential equation y' = h(t, y, y, y')

Z. Kowalski (1963)

Annales Polonici Mathematici

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Z. Kowalski (1963)

Annales Polonici Mathematici

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Anita Dobek (2008)

Discussiones Mathematicae Probability and Statistics

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Dostál, Michal

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E. Cancès, S. Labbé (2012)

ESAIM: Proceedings

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Mohammad Ali Ardalani (2014)

Studia Mathematica

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We introduce new concepts of numerical range and numerical radius of one operator with respect to another one, which generalize in a natural way the known concepts of numerical range and numerical radius. We study basic properties of these new concepts and present some examples.

M. Życzkowski (1965)

Applicationes Mathematicae

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A. Torgašev (1975)

Matematički Vesnik

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Křížek, Michal

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Gneiting, Tilmann, Konis, Kjell, Richards, Donald (2001)

Experimental Mathematics

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George Biddell Airy

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George Biddell Airy

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Rozehnalová, Petra

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Using the high order Trefftz finite element method for solving partial differential equation requires numerical integration of oscillating functions. This integration could be performed, instead of classic techniques, also by the Levin method with some modifications. This paper shortly describes both the Trefftz method and the Levin method with its modification.

Takeaki Yamazaki (2007)

Studia Mathematica

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We give an inequality relating the operator norm of T and the numerical radii of T and its Aluthge transform. It is a more precise estimate of the numerical radius than Kittaneh's result [Studia Math. 158 (2003)]. Then we obtain an equivalent condition for the numerical radius to be equal to half the operator norm.

R. Smarzewski, H. Malinowski (1979)

Applicationes Mathematicae

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