منابع مشابه
Truncation Error Analysis of Shallow Water Models Based on the Generalized Wave Continuity Equation
Finite element solution of the shallow water wave equations has found increasing use by researchers and practitioners in the modeling of oceans and coastal areas. Wave equation models successfully eliminate spurious oscillation modes without resorting to artificial or numerical damping. Since its introduction in 1979, the wave equation algorithm has been modified in a number of substantial ways...
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Background. Quantitative assessment of coronary artery stenoses plays a central role in clinical decision making. According to the continuity equation, the ratio of the time-velocity integral of prestenotic to stenotic flow velocities represents the ratio of the cross-sectional area of the stenotic to prestenotic segments. However, no data exist regarding the application of this method to clini...
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Let ? be an open connected subset of the complex plane C and let T be a bounded linear operator on a Hilbert space H. For ? in ? let e the orthogonal projection onto the null-space of T-?I . We discuss the necessary and sufficient conditions for the map ?? to b e continuous on ?. A generalized Gram- Schmidt process is also given.
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Generalized solutions to the continuity equation in the oneand multidimensional cases are constructed in the case of discontinuous velocity field. In this paper we construct a generalized solution to the continuity equation for the case in which the velocity field has jumps on smooth submanifolds of codimension one. Such a situation appears, in particular, in studying solutions of the system of...
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ژورنال
عنوان ژورنال: Chinese Physics Letters
سال: 2010
ISSN: 0256-307X,1741-3540
DOI: 10.1088/0256-307x/27/8/084703