On L2-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations

Applied Mathematics Letters ◽

10.1016/j.aml.2019.01.006 ◽

2019 ◽

Vol 92 ◽

pp. 115-120 ◽

Author(s):

Alexander Zlotnik

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Gas Dynamics Equations ◽

Explicit Finite Difference

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L2-Dissipativity Criteria for Linearized Explicit Finite Difference Schemes for Regularization of One-Dimensional Gas Dynamics Equations

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04639-6 ◽

2019 ◽

Vol 244 (4) ◽

pp. 649-654

Author(s):

T. A. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Gas Dynamics Equations ◽

One Dimensional ◽

Explicit Finite Difference

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On Conditions for Weak Conservativeness of Regularized Explicit Finite-Difference Schemes for 1D Barotropic Gas Dynamics Equations

Differential and Difference Equations with Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-75647-9_49 ◽

2018 ◽

pp. 635-647 ◽

Author(s):

A. Zlotnik ◽

T. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Gas Dynamics Equations ◽

Barotropic Gas ◽

Explicit Finite Difference

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A family of finite-difference schemes for one-dimensional magnetic gas dynamics equations (viscous barotropic case)

Russian Journal of Numerical Analysis and Mathematical Modelling ◽

10.1515/rnam.1988.3.6.431 ◽

1988 ◽

Vol 3 (6) ◽

Author(s):

A. A. AMOSOV ◽

A. A. ZLOTNIK

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Gas Dynamics Equations ◽

One Dimensional

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On Conditions for L2-Dissipativity of Linearized Explicit QGD Finite-Difference Schemes for One-Dimensional Gas Dynamics Equations

Doklady Mathematics ◽

10.1134/s1064562418060200 ◽

2018 ◽

Vol 98 (2) ◽

pp. 458-463 ◽

Author(s):

A. A. Zlotnik ◽

T. A. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Gas Dynamics Equations ◽

One Dimensional

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On conditions for L2-dissipativity of linearized explicit QGD-finite-difference schemes for the equations of one-dimensional gas dynamics

Доклады Академии наук ◽

10.31857/s086956520003084-5 ◽

2018 ◽

Vol 482 (4) ◽

pp. 375-380

Author(s):

A. Zolotnik ◽

T. Lomonosov

Keyword(s):

Finite Difference ◽

Gas Dynamics ◽

Difference Schemes ◽

Finite Difference Schemes ◽

One Dimensional

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Unconditionally positive finite difference and standard explicit finite difference schemes for power flow equation

University thought - Publication in Natural Sciences ◽

10.5937/univtho9-23312 ◽

2019 ◽

Vol 9 (2) ◽

pp. 75-78

Author(s):

Branko Drljača ◽

Svetislav Savović

Keyword(s):

Finite Difference ◽

Flow Equation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Explicit Finite Difference

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Explicit finite difference schemes for solving the one – dimensional tsunami wave propagation equations

Journal of Physics Conference Series ◽

10.1088/1742-6596/1297/1/012005 ◽

2019 ◽

Vol 1297 ◽

pp. 012005 ◽

Author(s):

D Deleanu ◽

C L Dumitrache

Keyword(s):

Wave Propagation ◽

Finite Difference ◽

Tsunami Wave ◽

Difference Schemes ◽

Finite Difference Schemes ◽

One Dimensional ◽

Explicit Finite Difference ◽

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Some Economical, Explicit Finite-Difference Schemes for the Primitive Equations

Monthly Weather Review ◽

10.1175/1520-0493(1983)111<0663:seefds>2.0.co;2 ◽

1983 ◽

Vol 111 (4) ◽

pp. 663-668 ◽

Author(s):

Arne M. Bratseth

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Primitive Equations ◽

Finite Difference Schemes ◽

Explicit Finite Difference

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Explicit finite difference schemes adapted to advection–reaction equations

International Journal of Computer Mathematics ◽

10.1080/00207160701389978 ◽

2008 ◽

Vol 85 (3-4) ◽

pp. 547-558 ◽

Author(s):

J. Martín-Vaquero ◽

J. Vigo-Aguiar

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Explicit Finite Difference ◽

Reaction Equations

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Novel explicit finite-difference schemes for time-dependent Schrödinger equations

Computer Physics Communications ◽

10.1016/0010-4655(91)90249-k ◽

1991 ◽

Vol 63 (1-3) ◽

pp. 203-208 ◽

Author(s):

Ronald E. Mickens

Keyword(s):

Finite Difference ◽

Difference Schemes ◽

Time Dependent ◽

Finite Difference Schemes ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Explicit Finite Difference

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