A mixed system of differential equations as a mathematical model of vibrations of continuum-discrete mechanical systems.
Kul'terbaev, Kh. P., Dzhankulaev, A. Ya. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Kul'terbaev, Kh. P., Dzhankulaev, A. Ya. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Qingshan Chen, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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A new set of nonlocal boundary conditions is proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.
Qingshan Chen, Ming-Cheng Shiue, Roger Temam, Joseph Tribbia (2012)
ESAIM: Mathematical Modelling and Numerical Analysis
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A new set of nonlocal boundary conditions is proposed for the higher modes of the 3D inviscid primitive equations. Numerical schemes using the splitting-up method are proposed for these modes. Numerical simulations of the full nonlinear primitive equations are performed on a nested set of domains, and the results are discussed.
Echi, Othman, Naimi, Mongi (2008)
The New York Journal of Mathematics [electronic only]
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Kui Liu (2010)
Acta Arithmetica
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Stephen D. Cohen, Sophie Huczynska (2003)
Acta Arithmetica
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Lindström, B. (1999)
Portugaliae Mathematica
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Březina, Jan
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Richards' equation is a widely used model of partially saturated flow in a porous medium. In order to obtain conservative velocity field several authors proposed to use mixed or mixed-hybrid schemes to solve the equation. In this paper, we shall analyze the mixed scheme on 1D domain and we show that it violates the discrete maximum principle which leads to catastrophic oscillations in the solution.
Stephen D. Cohen, Sophie Huczynska (2010)
Acta Arithmetica
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T. W. Müller, J.-C. Schlage-Puchta (2004)
Acta Arithmetica
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Florian Luca, P. G. Walsh (2004)
Colloquium Mathematicae
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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.
Eleev, V.A., Zhemukhova, Z.Kh. (2002)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Wenguang Zhai (2002)
Acta Arithmetica
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