WENO scheme for convection-dominated problems

• Xu ZF, Shu CW: Anti-diffusive flux corrections for high order finite difference WENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 205 (2): 458-485 MAY 20 2005

• Titarev VA, Toro EF: WENO schemes based on upwind and centred TVD fluxes, COMPUTERS & FLUIDS 34 (6): 705-720 JUL 2005

• Titarev VA, Toro EF: Finite-volume WENO schemes for three-dimensional conservation laws,  JOURNAL OF COMPUTATIONAL PHYSICS 201 (1): 238-260 NOV 20 2004

• Vukovic S, Crnjaric-Zic N, Sopta L: WENO schemes for balance laws with spatially varying flux, JOURNAL OF COMPUTATIONAL PHYSICS 199 (1): 87-109 SEP 1 2004

• Serna S, Marquina A: Power ENO methods: a fifth-order accurate Weighted Power ENO method, JOURNAL OF COMPUTATIONAL PHYSICS 194 (2): 632-658 MAR 1 2004

• Ren YX, Liu M, Zhang HX: A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws, JOURNAL OF COMPUTATIONAL PHYSICS 192 (2): 365-386 DEC 10 2003

• Sebastian K, Shu CW: Multidomain WENO finite difference method with interpolation at subdomain interfaces, JOURNAL OF SCIENTIFIC COMPUTING 19 (1-3): 405-438 DEC 2003

• Qiu JX, Shu CW: Finite difference weno schemes with Lax-Wendroff-type time discretizations, SIAM JOURNAL ON SCIENTIFIC COMPUTING 24 (6): 2185-2198 2003

• Qiu JX, Shu CW: On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 183 (1): 187-209 NOV 20 2002

• Levy D, Puppo G, Russo G: A fourth-order central WENO scheme for multidimensional hyperbolic systems of conservation laws, SIAM JOURNAL ON SCIENTIFIC COMPUTING 24 (2): 480-506 OCT 31 2002

• Shi J, Hu CQ, Shu CW: A technique of treating negative weights in WENO schemes,  JOURNAL OF COMPUTATIONAL PHYSICS 175 (1): 108-127 JAN 1 2002

• Levy D, Puppo G, Russo G: Compact central WENO schemes for multidimensional conservation laws, SIAM JOURNAL ON SCIENTIFIC COMPUTING 22 (2): 656-672 AUG 31 2000

• Balsara DS, Shu CW: Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy, JOURNAL OF COMPUTATIONAL PHYSICS 160 (2): 405-452 MAY 20 2000

• Levy D, Puppo G, Russo G: On the behavior of the total variation in CWENO methods for conservation laws, APPLIED NUMERICAL MATHEMATICS 33 (1-4): 407-414 MAY 2000

• Levy D, Puppo G, Russo G: A third order central WENO scheme for 2D conservation laws,  APPLIED NUMERICAL MATHEMATICS 33 (1-4): 415-421 MAY 2000

• Levy D, Puppo G, Russo G:  Central WENO schemes for hyperbolic systems of conservation laws, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 33 (3): 547-571 MAY-JUN 1999

• Hu CQ, Shu CW: Weighted essentially non-oscillatory schemes on triangular meshes,  JOURNAL OF COMPUTATIONAL PHYSICS 150 (1): 97-127 MAR 20 1999

• Friedrich O: Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids,  JOURNAL OF COMPUTATIONAL PHYSICS 144 (1): 194-212 JUL 20 1998

• Liu XD, Osher S: Convex ENO high order multi-dimensional schemes without field by field decomposition or staggered grids,  JOURNAL OF COMPUTATIONAL PHYSICS 142 (2): 304-330 MAY 20 1998

• OllivierGooch CF: Quasi-ENO schemes for unstructured meshes based on unlimited data-dependent least-squares reconstruction, JOURNAL OF COMPUTATIONAL PHYSICS 133 (1): 6-17 MAY 1 1997

• Jiang GS, Shu CW: Efficient implementation of weighted ENO schemes, JOURNAL OF COMPUTATIONAL PHYSICS 126 (1): 202-228 JUN 1996

• Liu XD, Osher S, Chan T: Weighted essentially nonoscillatory schemes, JOURNAL OF COMPUTATIONAL PHYSICS 115 (1): 200-212 NOV 1994