-
2
-
-
84966261380
-
-
Math. Comp, 54
-
B. COCKBURN, S. HOU, AND C.-W. SHU, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case, Math. Comp., 54 (1990), pp. 545-581.
-
(1990)
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
, pp. 545-581
-
-
COCKBURN, B.1
HOU, S.2
SHU, C.-W.3
-
3
-
-
45249130080
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems
-
B. COCKBURN, S.-Y. LIN, AND C.-W. SHU, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One dimensional systems, J. Comput. Phys., 84 (1989), pp. 90-113.
-
(1989)
J. Comput. Phys
, vol.84
, pp. 90-113
-
-
COCKBURN, B.1
LIN, S.-Y.2
SHU, C.-W.3
-
4
-
-
0000869912
-
1-discontinuous Galerkin method for scalar conservation laws
-
1-discontinuous Galerkin method for scalar conservation laws, Math. Model. Numer. Anal., 25 (1991), pp. 337-361.
-
(1991)
Math. Model. Numer. Anal
, vol.25
, pp. 337-361
-
-
COCKBURN, B.1
SHU, C.-W.2
-
5
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework
-
B. COCKBURN AND C.-W. SHU, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework, Math. Comp., 52 (1989), pp. 411-435.
-
(1989)
Math. Comp
, vol.52
, pp. 411-435
-
-
COCKBURN, B.1
SHU, C.-W.2
-
6
-
-
0001690553
-
The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: Multidimensional systems
-
B. COCKBURN AND C.-W. SHU, The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: Multidimensional systems, J. Comput. Phys., 141 (1998), pp. 199-224.
-
(1998)
J. Comput. Phys
, vol.141
, pp. 199-224
-
-
COCKBURN, B.1
SHU, C.-W.2
-
7
-
-
0344393366
-
The local discontinuous Galerkin method for time-dependent convection-diffusion systems
-
B. COCKBURN AND C.-W. SHU, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM. J. Numer. Anal., 35 (1998), pp. 2440-2463.
-
(1998)
SIAM. J. Numer. Anal
, vol.35
, pp. 2440-2463
-
-
COCKBURN, B.1
SHU, C.-W.2
-
8
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convection-dominated problems
-
B. COCKBURN AND C.-W. SHU, Runge-Kutta discontinuous Galerkin methods for convection-dominated problems, J. Sci. Comput., 16 (2001), pp. 173-261.
-
(2001)
J. Sci. Comput
, vol.16
, pp. 173-261
-
-
COCKBURN, B.1
SHU, C.-W.2
-
9
-
-
34547938448
-
-
B. COCKBURN, An introduction to the discontinuous Galerkin method for convection-dominated problems, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu, and E. Tadmor, (A. Quarteroni, ed.), Lecture Notes in Math. 1697, Springer, New York, 1998, pp. 325-432.
-
B. COCKBURN, An introduction to the discontinuous Galerkin method for convection-dominated problems, in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, B. Cockburn, C. Johnson, C.-W. Shu, and E. Tadmor, (A. Quarteroni, ed.), Lecture Notes in Math. 1697, Springer, New York, 1998, pp. 325-432.
-
-
-
-
10
-
-
0002229737
-
On the symmetric form of systems of conservation laws with entropy
-
A. HARTEN, On the symmetric form of systems of conservation laws with entropy, J. Comput. Phys., 49 (1983), pp. 151-164.
-
(1983)
J. Comput. Phys
, vol.49
, pp. 151-164
-
-
HARTEN, A.1
-
11
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
A. HARTEN, High resolution schemes for hyperbolic conservation laws, J. Comput. Phys., 49 (1983), pp. 357-393.
-
(1983)
J. Comput. Phys
, vol.49
, pp. 357-393
-
-
HARTEN, A.1
-
12
-
-
48749145227
-
Self-adjusting grid methods for one-dimensional hyperbolic conservation laws
-
A. HARTEN AND J. M. HYMAN, Self-adjusting grid methods for one-dimensional hyperbolic conservation laws, J. Comput. Phys., 50 (1983), pp. 235-269.
-
(1983)
J. Comput. Phys
, vol.50
, pp. 235-269
-
-
HARTEN, A.1
HYMAN, J.M.2
-
13
-
-
34247333338
-
Solutions of multidimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method
-
to appear
-
S.-M. HOU AND X.-D. LIU, Solutions of multidimensional hyperbolic systems of conservation laws by square entropy condition satisfying discontinuous Galerkin method, J. Sci. Comput., to appear.
-
J. Sci. Comput
-
-
HOU, S.-M.1
LIU, X.-D.2
-
14
-
-
84966238599
-
An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation
-
C. JOHNSON AND J. PITKÄRANTA, An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation, Math. Comp., 46 (1986), pp. 1-26.
-
(1986)
Math. Comp
, vol.46
, pp. 1-26
-
-
JOHNSON, C.1
PITKÄRANTA, J.2
-
15
-
-
0002763761
-
On a finite element method for solving the neutron transport equation
-
C. de Boor, ed, Academic Press, New York
-
P. LESAINT AND P. A. RAVIART, On a finite element method for solving the neutron transport equation, in Mathematical Aspects of Finite Elements in Partial Differential Equations C. de Boor, ed., Academic Press, New York, 1974, pp. 89-145.
-
(1974)
Mathematical Aspects of Finite Elements in Partial Differential Equations
, pp. 89-145
-
-
LESAINT, P.1
RAVIART, P.A.2
-
17
-
-
0021413939
-
Riemann solvers, the entropy condition, and difference approximations
-
S. OSHER, Riemann solvers, the entropy condition, and difference approximations, SIAM. J. Numer. Anal., 21 (1984), pp. 217-235.
-
(1984)
SIAM. J. Numer. Anal
, vol.21
, pp. 217-235
-
-
OSHER, S.1
-
18
-
-
0026106576
-
A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation
-
T. E. PETERSON, A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation, SIAM J. Numer. Anal., 28 (1991), pp. 133-140.
-
(1991)
SIAM J. Numer. Anal
, vol.28
, pp. 133-140
-
-
PETERSON, T.E.1
-
19
-
-
2942757053
-
Approximate Riemann solvers, parameter vectors, and difference schemes
-
P. L. ROE, Approximate Riemann solvers, parameter vectors, and difference schemes, J. Comput. Phys., 43 (1981), pp. 357-372.
-
(1981)
J. Comput. Phys
, vol.43
, pp. 357-372
-
-
ROE, P.L.1
-
20
-
-
0346863656
-
Classification of the Riemann problem for two-dimensional gas dynamics
-
C. W. SCHULZ-RINNE, Classification of the Riemann problem for two-dimensional gas dynamics, SIAM J. Math. Anal., 24 (1993), pp. 76-88.
-
(1993)
SIAM J. Math. Anal
, vol.24
, pp. 76-88
-
-
SCHULZ-RINNE, C.W.1
-
21
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock capturing schemes
-
C.-W. SHU AND S. OSHER, Efficient implementation of essentially non-oscillatory shock capturing schemes, J. Comput. Phys., 77 (1988), pp. 439-471.
-
(1988)
J. Comput. Phys
, vol.77
, pp. 439-471
-
-
SHU, C.-W.1
OSHER, S.2
-
22
-
-
49049151571
-
Flux vector splitting of the inviscid gasdynamic equations with applications to finite-difference methods
-
J. L. STEGER AND R. F. WARMING, Flux vector splitting of the inviscid gasdynamic equations with applications to finite-difference methods, J. Comput. Phys., 40 (1981), pp. 263-293.
-
(1981)
J. Comput. Phys
, vol.40
, pp. 263-293
-
-
STEGER, J.L.1
WARMING, R.F.2
-
23
-
-
0043262761
-
A second order explicit finite element scheme to multi-dimensional conservation laws and its convergence
-
L.-A. YING, A second order explicit finite element scheme to multi-dimensional conservation laws and its convergence, Sci. China Ser. A, 43 (2000), pp. 945-957.
-
(2000)
Sci. China Ser. A
, vol.43
, pp. 945-957
-
-
YING, L.-A.1
-
24
-
-
18444370606
-
Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws
-
Q. ZHANG AND C.-W. SHU, Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws, SIAM J. Numer. Anal., 42 (2004), pp. 641-666.
-
(2004)
SIAM J. Numer. Anal
, vol.42
, pp. 641-666
-
-
ZHANG, Q.1
SHU, C.-W.2
|