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Highorder wellbalanced finite difference weno schemes for a class of hyperbolic systems with source terms
 J. Sci. Comput
, 2006
"... In this paper, we generalize the high order wellbalanced finite difference weighted essentially nonoscillatory (WENO) scheme, designed earlier by us in Xing and Shu (2005, J. Comput. phys. 208, 206–227) for the shallow water equations, to solve a wider class of hyperbolic systems with separable so ..."
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Cited by 4 (1 self)
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In this paper, we generalize the high order wellbalanced finite difference weighted essentially nonoscillatory (WENO) scheme, designed earlier by us in Xing and Shu (2005, J. Comput. phys. 208, 206–227) for the shallow water equations, to solve a wider class of hyperbolic systems with separable
A new approach of high order wellbalanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
 Communications in Computational Physics
"... Abstract. Hyperbolic balance laws have steady state solutions in which the flux gradients are nonzero but are exactly balanced by the source terms. In our earlier work [31–33], we designed high order wellbalanced schemes to a class of hyperbolic systems with separable source terms. In this paper, w ..."
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Cited by 17 (7 self)
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Abstract. Hyperbolic balance laws have steady state solutions in which the flux gradients are nonzero but are exactly balanced by the source terms. In our earlier work [31–33], we designed high order wellbalanced schemes to a class of hyperbolic systems with separable source terms. In this paper
3 High Order Wellbalanced Finite Volume Scheme 9
, 2007
"... A characteristic feature of hyperbolic systems of balance laws is the existence of nontrivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of socalled wellbalanced schemes were developed which satisfy a discrete analogue of th ..."
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A characteristic feature of hyperbolic systems of balance laws is the existence of nontrivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of socalled wellbalanced schemes were developed which satisfy a discrete analogue
of hyperbolic systems with source terms
"... Application of high order wellbalanced schemes to a class ..."
Noelle, Xing, Shu. Wellbalanced schemes for moving water. 1 High Order Wellbalanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water
"... A characteristic feature of hyperbolic systems of balance laws is the existence of nontrivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of socalled wellbalanced schemes were developed which satisfy a discrete analogue of th ..."
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A characteristic feature of hyperbolic systems of balance laws is the existence of nontrivial equilibrium solutions, where the effects of convective fluxes and source terms cancel each other. Recently a number of socalled wellbalanced schemes were developed which satisfy a discrete analogue
WellBalanced HighOrder Centred Schemes for NonConservative Hyperbolic Systems. Applications to Shallow Water Equations with Fixed and Mobile Bed
"... This paper concerns the development of highorder accurate centred schemes for the numerical solution of onedimensional hyperbolic systems containing nonconservative products and source terms. Combining the PRICET method developed in [29] with the theoretical insights gained by the recently devel ..."
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Cited by 7 (1 self)
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This paper concerns the development of highorder accurate centred schemes for the numerical solution of onedimensional hyperbolic systems containing nonconservative products and source terms. Combining the PRICET method developed in [29] with the theoretical insights gained by the recently
Efficient Implementation of Weighted ENO Schemes
, 1995
"... In this paper, we further analyze, test, modify and improve the high order WENO (weighted essentially nonoscillatory) finite difference schemes of Liu, Osher and Chan [9]. It was shown by Liu et al. that WENO schemes constructed from the r th order (in L¹ norm) ENO schemes are (r +1) th order accur ..."
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Cited by 415 (40 self)
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In this paper, we further analyze, test, modify and improve the high order WENO (weighted essentially nonoscillatory) finite difference schemes of Liu, Osher and Chan [9]. It was shown by Liu et al. that WENO schemes constructed from the r th order (in L¹ norm) ENO schemes are (r +1) th order
Highorder
"... finite volume WENO schemes for the shallow water equations with dry states ..."
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finite volume WENO schemes for the shallow water equations with dry states
A fast and high quality multilevel scheme for partitioning irregular graphs
 SIAM JOURNAL ON SCIENTIFIC COMPUTING
, 1998
"... Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc. ..."
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Cited by 1173 (16 self)
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Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to construct a partition for the original graph [Bui and Jones, Proc.
A comparative analysis of selection schemes used in genetic algorithms
 Foundations of Genetic Algorithms
, 1991
"... This paper considers a number of selection schemes commonly used in modern genetic algorithms. Specifically, proportionate reproduction, ranking selection, tournament selection, and Genitor (or «steady state") selection are compared on the basis of solutions to deterministic difference or d ..."
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Cited by 512 (32 self)
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This paper considers a number of selection schemes commonly used in modern genetic algorithms. Specifically, proportionate reproduction, ranking selection, tournament selection, and Genitor (or «steady state") selection are compared on the basis of solutions to deterministic difference
Results 1  10
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385,585