On Jerzy Baksalary's contribution to numerical methods
Anita Dobek (2008)
Discussiones Mathematicae Probability and Statistics
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Displaying similar documents to “Numerical index with respect to an operator”
On Jerzy Baksalary's contribution to numerical methods
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The polygonal method of solving the differential equation y' = h(t, y, y, y')
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My wonderful numerical analysis teachers -- Milan Práger and Emil Vitásek
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Experimental approaches to Kuttner's problem.
Gneiting, Tilmann, Konis, Kjell, Richards, Donald (2001)
Experimental Mathematics
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On the Algebraical and Numerical Theory of Errors of Observations and the Combination of Observations
George Biddell Airy
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On the Algebraical and Numerical Theory of Errors of Observations and the Combination of Observations
George Biddell Airy
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Verified numerical computations for large-scale linear systems
Katsuhisa Ozaki, Takeshi Terao, Takeshi Ogita, Takahiro Katagiri (2021)
Applications of Mathematics
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This paper concerns accuracy-guaranteed numerical computations for linear systems. Due to the rapid progress of supercomputers, the treatable problem size is getting larger. The larger the problem size, the more rounding errors in floating-point arithmetic can accumulate in general, and the more inaccurate numerical solutions are obtained. Therefore, it is important to verify the accuracy of numerical solutions. Verified numerical computations are used to produce error bounds on numerical...
A numerical method for solving the Abel integral equation
H. Malinowski, R. Smarzewski (1978)
Applicationes Mathematicae
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Numerical integration in the Trefftz finite element method
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.