M. Niedziela, T. Sułkowski (2004)
Applicationes Mathematicae
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Two mathematical models of railway track oscillations are compared on the basis of numerical experiments.
Kósa, Balázs, Haličková-Brehovská, Jana, Mikula, Karol
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In this article, we present a mathematical model and numerical method for surface reconstruction from 3D point cloud data, using the level-set method. The presented method solves surface reconstruction by the computation of the distance function to the shape, represented by the point cloud, using the so called Fast Sweeping Method, and the solution of advection equation with curvature term, which creates the evolution of an initial condition to the final state. A crucial point for efficiency...
István Faragó, Miklós Emil Mincsovics, Rahele Mosleh (2018)
Applications of Mathematics
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We investigate biological processes, particularly the propagation of malaria. Both the continuous and the numerical models on some fixed mesh should preserve the basic qualitative properties of the original phenomenon. Our main goal is to give the conditions for the discrete (numerical) models of the malaria phenomena under which they possess some given qualitative property, namely, to be between zero and one. The conditions which guarantee this requirement are related to the time-discretization...
E. Cancès, S. Labbé (2012)
ESAIM: Proceedings
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Bijan Mohammadi, Jukka Tuomela (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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When analysing general systems of PDEs, it is important first to find the involutive form of the initial system. This is because the properties of the system cannot in general be determined if the system is not involutive. We show that the notion of involutivity is also interesting from the numerical point of view. The use of the involutive form of the system allows one to consider quite general situations in a unified way. We illustrate our approach on the numerical solution of several...
Siddharth Gavhale, Karel Švadlenka (2022)
Applications of Mathematics
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We extend thresholding methods for numerical realization of mean curvature flow on obstacles to the anisotropic setting where interfacial energy depends on the orientation of the interface. This type of schemes treats the interface implicitly, which supports natural implementation of topology changes, such as merging and splitting, and makes the approach attractive for applications in material science. The main tool in the new scheme are convolution kernels developed in previous studies...
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.
Z. Kowalski (1963)
Annales Polonici Mathematici
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Anita Dobek (2008)
Discussiones Mathematicae Probability and Statistics
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M. Życzkowski (1965)
Applicationes Mathematicae
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Gneiting, Tilmann, Konis, Kjell, Richards, Donald (2001)
Experimental Mathematics
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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...
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.