-
1
-
-
0000076512
-
Runge-Kutta Discontinuous Galerkin methods for convection-dominated problems
-
B. Cockburn C. W. Shu 2001 Runge-Kutta discontinuous Galerkin methods for convection-dominated problems J Sci Comput 16 173 261 (Pubitemid 33818237)
-
(2001)
Journal of Scientific Computing
, vol.16
, Issue.3
, pp. 173-261
-
-
Cockburn, B.1
Shu, C.-W.2
-
2
-
-
0036570604
-
Spectral (finite) volume method for conservation laws on unstructured grids: Basic formulation
-
Z. J. Wang 2002 Spectral (finite) volume method for conservation laws on unstructured grids: basic formulation J Comput Phys 178 210 251
-
(2002)
J Comput Phys
, vol.178
, pp. 210-251
-
-
Wang, Z.J.1
-
3
-
-
0036647456
-
Spectral (finite) volume method for conservation laws on unstructured grids II: Extension to two dimensional scalar equation
-
Z. J. Wang Y. Liu 2002 Spectral (finite) volume method for conservation laws on unstructured grids II: Extension to two dimensional scalar equation J Comput Phys 179 665 697
-
(2002)
J Comput Phys
, vol.179
, pp. 665-697
-
-
Wang, Z.J.1
Liu, Y.2
-
4
-
-
34548429140
-
An accuracy and stability study of the 2D spectral volume method
-
K. Van den Abeele C. Lacor 2007 An accuracy and stability study of the 2D spectral volume method J Comput Phys 226 1007 1026
-
(2007)
J Comput Phys
, vol.226
, pp. 1007-1026
-
-
Van Den Abeele, K.1
Lacor, C.2
-
5
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
C. W. Shu S. Osher 1988 Efficient implementation of essentially non-oscillatory shock-capturing schemes J Comput Phys 77 439 471
-
(1988)
J Comput Phys
, vol.77
, pp. 439-471
-
-
Shu, C.W.1
Osher, S.2
-
6
-
-
0035273564
-
Strong stability-preserving high-order time discretization methods
-
DOI 10.1137/S003614450036757X, PII S003614450036757X
-
S. Gottlieb C. W. Shu E. Tadmor 2001 Strong stability-preserving high-order time discretization methods SIAM Rev 43 89 112 (Pubitemid 32406893)
-
(2001)
SIAM Review
, vol.43
, Issue.1
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
7
-
-
0003630916
-
Triangular mesh methods for the neutron transport equation
-
Los Alamos Scientific Laboratory
-
Reed W H, Hill T R. Triangular mesh methods for the neutron transport equation. Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973
-
(1973)
Technical Report LA-UR-73-479
-
-
Reed, W.H.1
Hill, T.R.2
-
8
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
-
B. Cockburn C. W. Shu 1989 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework Math Comput 52 411 435
-
(1989)
Math Comput
, vol.52
, pp. 411-435
-
-
Cockburn, B.1
Shu, C.W.2
-
9
-
-
45249130080
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
-
B. Cockburn S. Y. Lin C. W. Shu 1989 TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems J Comput Phys 84 90 113
-
(1989)
J Comput Phys
, vol.84
, pp. 90-113
-
-
Cockburn, B.1
Lin, S.Y.2
Shu, C.W.3
-
10
-
-
84966261380
-
The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
-
B. Cockburn S. Hou C. W. Shu 1990 The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case Math Comput 54 545 581
-
(1990)
Math Comput
, vol.54
, pp. 545-581
-
-
Cockburn, B.1
Hou, S.2
Shu, C.W.3
-
11
-
-
0001690553
-
The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V: Multidimensional Systems
-
DOI 10.1006/jcph.1998.5892, PII S0021999198958922
-
B. Cockburn C. W. Shu 1998 The Runge-Kutta discontinuous Galerkin method for conservation laws V: Multidimensional systems J Comput Phys 141 199 224 (Pubitemid 128344796)
-
(1998)
Journal of Computational Physics
, vol.141
, Issue.2
, pp. 199-224
-
-
Cockburn, B.1
Shu, C.-W.2
-
12
-
-
0001416032
-
A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
-
DOI 10.1006/jcph.1996.5572, PII S0021999196955722
-
F. Bassi S. Rebay 1997 A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes J Comput Phys 131 267 279 (Pubitemid 127341397)
-
(1997)
Journal of Computational Physics
, vol.131
, Issue.2
, pp. 267-279
-
-
Bassi, F.1
Rebay, S.2
-
13
-
-
0345062335
-
A discontinuous hp finite element method for convection-diffusion problems
-
DOI 10.1016/S0045-7825(98)00359-4, PII S0045782598003594
-
C. E. Baumann J. T. Oden 1999 A discontinuous hp finite element method for convection-diffusion problems Comput Meth Appl Mech Eng 175 311 341 (Pubitemid 29473585)
-
(1999)
Computer Methods in Applied Mechanics and Engineering
, vol.175
, Issue.3-4
, pp. 311-341
-
-
Baumann, C.E.1
Tinsley Oden, J.2
-
14
-
-
0344393366
-
The local discontinuous galerkin method for time-dependent convection-diffusion systems
-
B. Cockburn C. W. Shu 1998 The local discontinuous Galerkin method for time-dependent convection-diffusion systems SIAM J Numer Anal 35 2440 2463 (Pubitemid 128464115)
-
(1998)
SIAM Journal on Numerical Analysis
, vol.35
, Issue.6
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, C.-W.2
-
15
-
-
0038693389
-
A local discontinuous Galerkin method for KdV type equations
-
J. Yan C. W. Shu 2002 A local discontinuous Galerkin method for KdV type equations SIAM J Numer Anal 40 769 791
-
(2002)
SIAM J Numer Anal
, vol.40
, pp. 769-791
-
-
Yan, J.1
Shu, C.W.2
-
16
-
-
22544467513
-
Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations
-
DOI 10.1016/j.physd.2005.06.007, PII S0167278905002332
-
Y. Xu C. W. Shu 2005 Local discontinuous Galerkin methods for two classes of two-dimensional nonlinear wave equations Physica D 208 21 58 (Pubitemid 41014049)
-
(2005)
Physica D: Nonlinear Phenomena
, vol.208
, Issue.1-2
, pp. 21-58
-
-
Xu, Y.1
Shu, C.-W.2
-
17
-
-
29144482223
-
Foreword for the special issue on discontinuous Galerkin method
-
B. Cockburn C. W. Shu 2005 Foreword for the special issue on discontinuous Galerkin method J Sci Comput 22-23 1 3
-
(2005)
J Sci Comput
, vol.2223
, pp. 1-3
-
-
Cockburn, B.1
Shu, C.W.2
-
18
-
-
33646078908
-
Foreword for the special issue on discontinuous Galerkin method
-
C. Dawson 2006 Foreword for the special issue on discontinuous Galerkin method Comput Meth Appl Mech Eng 195 3183
-
(2006)
Comput Meth Appl Mech Eng
, vol.195
, pp. 3183
-
-
Dawson, C.1
-
19
-
-
21844506272
-
Convergence of MUSCL and filtered schemes for scalar conservation law and Hamilton-Jacobi equations
-
P. L. Lions P. E. Souganidis 1995 Convergence of MUSCL and filtered schemes for scalar conservation law and Hamilton-Jacobi equations Numer Math 69 441 470
-
(1995)
Numer Math
, vol.69
, pp. 441-470
-
-
Lions, P.L.1
Souganidis, P.E.2
-
20
-
-
84966232121
-
On the convergence of the difference approximations to scalar conservation laws
-
S. Osher E. Tadmor 1988 On the convergence of the difference approximations to scalar conservation laws Math Comput 50 19 51
-
(1988)
Math Comput
, vol.50
, pp. 19-51
-
-
Osher, S.1
Tadmor, E.2
-
21
-
-
84968487025
-
On a cell entropy inequality for discontinuous Galerkin methods
-
G. S. Jiang C. W. Shu 1994 On a cell entropy inequality for discontinuous Galerkin methods Math Comput 62 531 538
-
(1994)
Math Comput
, vol.62
, pp. 531-538
-
-
Jiang, G.S.1
Shu, C.W.2
-
23
-
-
18444370606
-
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws
-
Q. Zhang C. W. Shu 2004 Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws SIAM J Numer Anal 42 641 666
-
(2004)
SIAM J Numer Anal
, vol.42
, pp. 641-666
-
-
Zhang, Q.1
Shu, C.W.2
-
24
-
-
34447102957
-
Error estimates to smooth solutions of Runge-kutta discontinuous Galerkin method for symmetrizable systems of conservation laws
-
DOI 10.1137/040620382
-
Q. Zhang C. W. Shu 2006 Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation laws SIAM J Numer Anal 44 1703 1720 (Pubitemid 47264166)
-
(2006)
SIAM Journal on Numerical Analysis
, vol.44
, Issue.4
, pp. 1703-1720
-
-
Zhang, Q.1
Shu, C.-W.2
-
25
-
-
0012894872
-
Different formulations of the discontinuous Galerkin method for the viscous terms
-
Science Press Beijing
-
Shu C W. Different formulations of the discontinuous Galerkin method for the viscous terms. In: Shi Z C, Mu M, Xue W, et al., eds. Advances in Scientific Computing (in Chinese). Beijing: Science Press, 2001. 144-155
-
(2001)
Advances in Scientific Computing (in Chinese)
, pp. 144-155
-
-
Shu, C.W.1
Shi, Z.C.2
Mu, M.3
Xue, W.4
-
26
-
-
0037357292
-
An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations
-
DOI 10.1142/S0218202503002568
-
M. Zhang C. W. Shu 2003 An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations Math Model Meth Appl Sci 13 395 413 (Pubitemid 36403876)
-
(2003)
Mathematical Models and Methods in Applied Sciences
, vol.13
, Issue.3
, pp. 395-413
-
-
Zhang, M.1
Shu, C.-W.2
-
27
-
-
11144259536
-
Formulations and analysis of the spectral volume method for the diffusion equation
-
DOI 10.1002/cnm.720
-
Y. Sun Z. J. Wang 2004 Formulations and analysis of the spectral volume method for the diffusion equation Commun Numer Meth Eng 20 927 937 (Pubitemid 40042650)
-
(2004)
Communications in Numerical Methods in Engineering
, vol.20
, Issue.12
, pp. 927-937
-
-
Sun, Y.1
Wang, Z.J.2
-
28
-
-
11144343214
-
An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods
-
DOI 10.1016/j.compfluid.2003.05.006, PII S0045793004000349
-
M. Zhang C. W. Shu 2005 An analysis of and a comparison between the discontinuous Galerkin and the spectral finite volume methods Comput Fluids 34 581 592 (Pubitemid 40032125)
-
(2005)
Computers and Fluids
, vol.34
, Issue.4-5 SPEC.ISS.
, pp. 581-592
-
-
Zhang, M.1
Shu, C.-W.2
-
29
-
-
46749119923
-
2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods
-
2 stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods ESAIM: Math Model Numer Anal 42 593 607
-
(2008)
ESAIM: Math Model Numer Anal
, vol.42
, pp. 593-607
-
-
Liu, Y.J.1
Shu, C.W.2
Tadmor, E.3
-
30
-
-
46749092411
-
Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction
-
Y. J. Liu C. W. Shu E. Tadmor 2007 Central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction SIAM J Numer Anal 45 2442 2467
-
(2007)
SIAM J Numer Anal
, vol.45
, pp. 2442-2467
-
-
Liu, Y.J.1
Shu, C.W.2
Tadmor, E.3
-
31
-
-
52749083843
-
Superconvergence and time evolution of discontinuous Galerkin finite element solutions
-
Y. Cheng C. W. Shu 2008 Superconvergence and time evolution of discontinuous Galerkin finite element solutions J Comput Phys 227 9612 9627
-
(2008)
J Comput Phys
, vol.227
, pp. 9612-9627
-
-
Cheng, Y.1
Shu, C.W.2
-
32
-
-
67049131507
-
Superconvergence of local discontinuous Galerkin methods for convection-diffusion equations
-
in press
-
Cheng Y, Shu C W. Superconvergence of local discontinuous Galerkin methods for convection-diffusion equations. Computers & Structures, in press
-
Computers & Structures
-
-
Cheng, Y.1
Shu, C.W.2
|