Conservative difference schemes for one-dimensional flows of polytropic gas

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.104864 ◽

2019 ◽

Vol 78 ◽

pp. 104864

Author(s):

Roman Kozlov

Keyword(s):

Difference Schemes ◽

One Dimensional ◽

Polytropic Gas ◽

Conservative Difference Schemes ◽

Conservative Difference

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One-Dimensional Flows of a Polytropic Gas: Lie Group Classification, Conservation Laws, Invariant and Conservative Difference Schemes

Nonlinear Physical Science - Symmetries and Applications of Differential Equations ◽

10.1007/978-981-16-4683-6_2 ◽

2021 ◽

pp. 61-98

Author(s):

V. A. Dorodnitsyn ◽

R. Kozlov ◽

S. V. Meleshko

Keyword(s):

Conservation Laws ◽

Lie Group ◽

Group Classification ◽

Difference Schemes ◽

One Dimensional ◽

Polytropic Gas ◽

Conservative Difference Schemes ◽

Lie Group Classification ◽

Conservative Difference

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Conservative difference schemes for the computation of mean-field equilibria

10.1063/1.5007358 ◽

2017 ◽

Author(s):

V. Shaydurov ◽

S. Zhang ◽

E. Karepova

Keyword(s):

Difference Schemes ◽

Conservative Difference Schemes ◽

Conservative Difference

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Completely conservative difference schemes

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(69)90049-4 ◽

1969 ◽

Vol 9 (4) ◽

pp. 296-305 ◽

Author(s):

Yu.P. Popov ◽

A.A. Samarskii

Keyword(s):

Difference Schemes ◽

Conservative Difference Schemes ◽

Conservative Difference

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One-dimensional gas dynamics equations of a polytropic gas in Lagrangian coordinates: Symmetry classification, conservation laws, difference schemes

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2019.03.009 ◽

2019 ◽

Vol 74 ◽

pp. 201-218 ◽

Author(s):

V.A. Dorodnitsyn ◽

R. Kozlov ◽

S.V. Meleshko

Keyword(s):

Conservation Laws ◽

Gas Dynamics ◽

Difference Schemes ◽

Lagrangian Coordinates ◽

Gas Dynamics Equations ◽

One Dimensional ◽

Symmetry Classification ◽

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A link between conservative and non-conservative difference schemes in gas dynamics

10.1063/1.1386855 ◽

2001 ◽

Author(s):

S. Chernigovski

Keyword(s):

Gas Dynamics ◽

Difference Schemes ◽

Conservative Difference Schemes ◽

Conservative Difference

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Explicit energy conservative difference schemes for nonlinear dynamical systems with at most quartic potentials

Physics Letters A ◽

10.1016/0375-9601(94)90788-9 ◽

1994 ◽

Vol 191 (5-6) ◽

pp. 373-378 ◽

Author(s):

Yuji Ishimori

Keyword(s):

Dynamical Systems ◽

Nonlinear Dynamical Systems ◽

Difference Schemes ◽

Nonlinear Dynamical ◽

Conservative Difference Schemes ◽

Conservative Difference

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Stable conservative difference schemes for the quasilinear parabolic heat-conduction equation

Journal of Engineering Physics ◽

10.1007/bf00872657 ◽

1985 ◽

Vol 49 (2) ◽

pp. 987-991

Author(s):

V. I. Gladkovskii ◽

V. G. Karolinskii

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Difference Schemes ◽

Conduction Equation ◽

Conservative Difference Schemes ◽

Conservative Difference ◽

Quasilinear Parabolic

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The application of fully conservative difference schemes to the calculation of two-dimensional magnetohydrodynamic systems

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(88)90178-4 ◽

1988 ◽

Vol 28 (3) ◽

pp. 62-71

Author(s):

V.A. Gasilov ◽

S.F. Krylov ◽

O.S. Sorokovikova ◽

S.I. Tkachenko

Keyword(s):

Difference Schemes ◽

Two Dimensional ◽

Conservative Difference Schemes ◽

Conservative Difference

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Conservative difference schemes for diffusion problems with boundary and interface conditions

Computing ◽

10.1007/bf02285226 ◽

1980 ◽

Vol 25 (4) ◽

pp. 299-316 ◽

Author(s):

R. Gorenflo ◽

Marianne Niedack

Keyword(s):

Difference Schemes ◽

Interface Conditions ◽

Conservative Difference Schemes ◽

Conservative Difference ◽

Diffusion Problems

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Completely conservative difference schemes for dynamic problems of linear elasticity and viscoelasticity

Differential Equations ◽

10.1134/s0012266113070082 ◽

2013 ◽

Vol 49 (7) ◽

pp. 857-868 ◽

Author(s):

A. N. Konovalov

Keyword(s):

Linear Elasticity ◽

Difference Schemes ◽

Dynamic Problems ◽

Conservative Difference Schemes ◽

Conservative Difference

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