Positivity-Preserving Discontinuous Galerkin Methods with Lax–Wendroff Time Discretizations
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DOI: 10.1007/s10915-016-0291-9
Abstract: This work introduces a single-stage, single-step method for the compressible Euler equations that is provably positivity-preserving and can be applied on both Cartesian and unstructured meshes. This method is the first case of a single-stage,… read more here.
Keywords: order; discontinuous galerkin; positivity; time ... See more keywords
An Approximate Lax–Wendroff-Type Procedure for High Order Accurate Schemes for Hyperbolic Conservation Laws
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DOI: 10.1007/s10915-016-0298-2
Abstract: A high order time stepping applied to spatial discretizations provided by the method of lines for hyperbolic conservations laws is presented. This procedure is related to the one proposed in Qiu and Shu (SIAM J… read more here.
Keywords: procedure; lax wendroff; high order; conservation laws ... See more keywords
Lax-Wendroff methods on highly non-uniform meshes. Dedicated to the Memory of Blair Swartz (1932–2019)
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DOI: 10.1016/j.apnum.2021.01.014
Abstract: Abstract The standard Lax-Wendroff scheme with the conservative Lax-Friedrichs nodal predictor on highly non-uniform meshes produces serious oscillations, making it useless on such meshes. Wendroff and White (B. Wendroff, A. B. White. Comput. Math. Appl.,… read more here.
Keywords: methods highly; lax wendroff; wendroff methods; highly non ... See more keywords