supported by the NSFC Grant No.11872210 and Grant No.MCMS-I-0120G01;Chi-Wang Shu:Research is supported by the AFOSR Grant FA9550-20-1-0055 and the NSF Grant DMS-2010107;Jianxian Qiu:Research is supported by the NSFC Grant No.12071392.
In this paper, we design high-order Runge-Kutta discontinuous Galerkin (RKDG) methods with multi-resolution weighted essentially non-oscillatory (multi-resolution WENO) limiters to compute compressible steady-state pr...
supported in part by the NSF grant DMS-2208438.The work of M.Herty was supported in part by the DFG(German Research Foundation)through 20021702/GRK2326,333849990/IRTG-2379,HE5386/18-1,19-2,22-1,23-1;under Germany’s Excellence Strategy EXC-2023 Internet of Production 390621612;The work of A.Kurganov was supported in part by the NSFC grant 12171226;the fund of the Guangdong Provincial Key Laboratory of Computational Science and Material Design,China(No.2019B030301001).
In this paper,we develop new high-order numerical methods for hyperbolic systems of nonlinear partial differential equations(PDEs)with uncertainties.The new approach is realized in the semi-discrete finite-volume fram...
support via NSF grants NSF-19-04774,NSF-AST-2009776,NASA-2020-1241;NASA grant 80NSSC22K0628.DSB;HK acknowledge support from a Vajra award,VJR/2018/00129;a travel grant from Notre Dame International;support via AFOSR grant FA9550-20-1-0055;NSF grant DMS-2010107.
Higher order finite difference weighted essentially non-oscillatory(WENO)schemes have been constructed for conservation laws.For multidimensional problems,they offer a high order accuracy at a fraction of the cost of ...
Fixed-point fast sweeping methods are a class of explicit iterative methods developed in the literature to efficiently solve steady-state solutions of hyperbolic partial differential equations(PDEs).As other types of ...