Some Remarks to Numerical Solutions of the Equations of Mathematical Physics

Ludmila Petrova^{*}

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References

[1] L. I. Petrova, “Exterior and Evolutionary Differential Forms in Mathematical Physics: Theory and Applications,” Lulu.com, 2008, 157 p.

[2] L. I. Petrova, “Role of Skew-Symmetric Differential Forms in Mathematics,” 2010.
http://arxiv.org/abs/1007.4757

[3] J. F. Clarke and M. Machesney, “The Dynamics of Real Gases,” Butterworths, London, 1964.

[4] L. I. Petrova, “Physical Meaning and a Duality of Concepts of Wave Function, Action Functional, Entropy, the Pointing Vector, the Einstein Tensor,” Journal of Mathematics Research, Vol. 4, No. 3, 2012, pp. 78-88.

[5] L. I. Petrova, “Integrability and the Properties of Solutions to Euler and Navier-Stokes Equations,” Journal of Mathematics Research, Vol. 4, No. 3, 2012, pp. 19-22.
doi:10.5539/jmr.v4n3p19

[6] L. I. Petrova, “Relationships between Discontinuities of Derivatives on Characteristics and Trajectories,” Journal of Computational Mathematics and Modeling, Vol. 20, No. 4, 2009, pp. 367-372.
doi:10.1007/s10598-009-9043-0

[7] L. I. Petrova, “The Noncommutativity of the Conservation Laws: Mechanism of Origination of Vorticity and Turbulence,” International Journal of Theoretical and Mathematical Physics, Vol. 2, No. 4, 2012, pp. 84-90.
doi:10.5923/j.ijtmp.20120204.05

[8] V. I. Smirnov, “A Course of Higher Mathematics, V. 4,” Technology and Theory in the Literature, Moscow, 1957. (in Russian)