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Discontinuous Galerkin Scheme for Solving a Lumped Kinetic Model of Non-isothermal Liquid Chromatography with Bi-Langmuir Isotherms
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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws
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Positivity-Preserving Well-Balanced Arbitrary Lagrangian–Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations
Physical, numerical, and computational challenges of modeling neutrino transport in core-collapse supernovae
Anthony Mezzacappa, Eirik Endeve, O. E. Bronson Messer and Stephen W. Bruenn Living Reviews in Computational Astrophysics 6(1) (2020) https://doi.org/10.1007/s41115-020-00010-8
On structure-preserving discontinuous Galerkin methods for Hamiltonian partial differential equations: Energy conservation and multi-symplecticity
Априорные оценки локального разрывного метода Галеркина на разнесенных сетках
для решения уравнения параболического типа в рамках однородной задачи Дирихле
Ruslan V. Zhalnin, Руслан Викторович Жалнин, Виктор Федорович Масягин, et al. Вестник Самарского государственного технического университета. Серия «Физико-математические науки» 24(1) 116 (2020) https://doi.org/10.14498/vsgtu1747
Stable discretisations of high-order discontinuous Galerkin methods on equidistant and scattered points
Stability properties of the Discontinuous Galerkin Material Point Method for hyperbolic problems in one and two space dimensions
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Superconvergence Analysis of the Runge–Kutta Discontinuous Galerkin Methods for a Linear Hyperbolic Equation
A discontinuous Galerkin immersed boundary solver for compressible flows: Adaptive local time stepping for artificial viscosity–based shock‐capturing on cut cells
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Numerical Simulation of Gas-Particle Two-Phase Flow in a Nozzle with DG Method
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Smooth and Compactly Supported Viscous Sub-cell Shock Capturing for Discontinuous Galerkin Methods
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Analysis and Entropy Stability of the Line-Based Discontinuous Galerkin Method
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Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang and David A. Kopriva Journal of Scientific Computing 77(1) 154 (2018) https://doi.org/10.1007/s10915-018-0702-1
Galerkin Method with Discontinuous Basis Functions on Staggered Grips a Priory Estimates for the Homogeneous Dirichlet Problem
R.V. Zhalnin and V.F. Masyagin Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" 11(2) 29 (2018) https://doi.org/10.14529/mmp180203
Strong Stability Preserving Explicit Peer Methods for Discontinuous Galerkin Discretizations