Two variants of parallel implementation of high-order accurate bicompact schemes for multi-dimensional inhomogeneous transport equation

Keldysh Institute Preprints ◽

10.20948/prepr-2018-177 ◽

2018 ◽

pp. 1-24

Author(s):

Aleksandr Viktorovich Chikitkin ◽

Boris Vadimovich Rogov

Keyword(s):

Transport Equation ◽

Parallel Implementation ◽

High Order ◽

Bicompact Schemes

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Two variants of parallel implementation of high-order accurate bicompact schemes for multi-dimensional inhomogeneous transport equation

Keldysh Institute Preprints ◽

10.20948/prepr-2018-177-e ◽

2018 ◽

pp. 1-24

Author(s):

Aleksandr Viktorovich Chikitkin ◽

Boris Vadimovich Rogov

Keyword(s):

Transport Equation ◽

Parallel Implementation ◽

High Order ◽

Bicompact Schemes

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High-order accurate bicompact schemes for solving the multidimensional inhomogeneous transport equation and their efficient parallel implementation

Doklady Mathematics ◽

10.1134/s1064562416040189 ◽

2016 ◽

Vol 94 (2) ◽

pp. 517-522 ◽

Cited By ~ 4

Author(s):

A. V. Chikitkin ◽

B. V. Rogov ◽

E. N. Aristova

Keyword(s):

Transport Equation ◽

Parallel Implementation ◽

High Order ◽

Bicompact Schemes

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Fast Parallel Algorithm on GPU for High Order Solution of Eikonal and Transport Equation

London 2013, 75th eage conference en exhibition incorporating SPE Europec ◽

10.3997/2214-4609.20130647 ◽

2013 ◽

Author(s):

B. Li ◽

J. Qian ◽

H. Liu

Keyword(s):

Transport Equation ◽

Parallel Algorithm ◽

High Order ◽

Order Solution

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Bicompact schemes for an inhomogeneous linear transport equation

Mathematical Models and Computer Simulations ◽

10.1134/s2070048213060033 ◽

2013 ◽

Vol 5 (6) ◽

pp. 586-594 ◽

Cited By ~ 3

Author(s):

E. N. Aristova ◽

D. F. Baydin ◽

B. V. Rogov

Keyword(s):

Transport Equation ◽

Linear Transport ◽

Linear Transport Equation ◽

Bicompact Schemes

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High order schemes for the scalar transport equation

International Journal for Numerical Methods in Fluids ◽

10.1002/1097-0363(20010130)35:2<199::aid-fld90>3.0.co;2-4 ◽

2001 ◽

Vol 35 (2) ◽

pp. 199-219 ◽

Cited By ~ 1

Author(s):

J. A. Hern�ndez

Keyword(s):

Transport Equation ◽

High Order ◽

Scalar Transport ◽

High Order Schemes

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High-Order Bicompact Schemes for Shock-Capturing Computations of Detonation Waves

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542519080049 ◽

2019 ◽

Vol 59 (8) ◽

pp. 1314-1323 ◽

Cited By ~ 1

Author(s):

M. D. Bragin ◽

B. V. Rogov

Keyword(s):

High Order ◽

Shock Capturing ◽

Detonation Waves ◽

Bicompact Schemes

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Bicompact schemes for an inhomogeneous linear transport equation in the case of a large optical depth

Mathematical Models and Computer Simulations ◽

10.1134/s2070048214030028 ◽

2014 ◽

Vol 6 (3) ◽

pp. 227-238 ◽

Cited By ~ 1

Author(s):

E. N. Aristova

Keyword(s):

Transport Equation ◽

Optical Depth ◽

Linear Transport ◽

Linear Transport Equation ◽

Bicompact Schemes

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π-BEM: A flexible parallel implementation for adaptive, geometry aware, and high order boundary element methods

Advances in Engineering Software ◽

10.1016/j.advengsoft.2018.03.008 ◽

2018 ◽

Vol 121 ◽

pp. 39-58 ◽

Cited By ~ 8

Author(s):

Nicola Giuliani ◽

Andrea Mola ◽

Luca Heltai

Keyword(s):

Boundary Element ◽

Parallel Implementation ◽

High Order ◽

Boundary Element Methods

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High‐order local discontinuous Galerkin method for a fractal mobile/immobile transport equation with the Caputo–Fabrizio fractional derivative

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22366 ◽

2019 ◽

Vol 35 (4) ◽

pp. 1588-1612 ◽

Cited By ~ 1

Author(s):

Min Zhang ◽

Yang Liu ◽

Hong Li

Keyword(s):

Fractional Derivative ◽

Galerkin Method ◽

Transport Equation ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

High Order ◽

Local Discontinuous Galerkin

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Conservative limiting method for high-order bicompact schemes as applied to systems of hyperbolic equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.01.005 ◽

2020 ◽

Vol 151 ◽

pp. 229-245 ◽

Cited By ~ 2

Author(s):

Michael D. Bragin ◽

Boris V. Rogov

Keyword(s):

Hyperbolic Equations ◽

High Order ◽

Bicompact Schemes

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