-
3
-
-
84966246413
-
TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General framework
-
Cockburn, B., and Shu, C.-W. (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
-
4
-
-
28844447972
-
Stepsize Restrictions for the total variation diminishing property in general Runge-Kutta methods
-
Reports of Leiden University, Report MI 2002-21
-
Ferracina, L., and Spijker, M.N. (2002). Stepsize Restrictions for the total variation diminishing property in general Runge-Kutta methods. Num. Anal. Reports of Leiden University, Report MI 2002-21.
-
(2002)
Num. Anal.
-
-
Ferracina, L.1
Spijker, M.N.2
-
5
-
-
11244318599
-
An extension and analysis of the Shu-Osher representation of Runge-Kutta method
-
Ferracina, L., and Spijker, M.N. (2005). An extension and analysis of the Shu-Osher representation of Runge-Kutta method. Math. Comput. 74, 201-219.
-
(2005)
Math. Comput.
, vol.74
, pp. 201-219
-
-
Ferracina, L.1
Spijker, M.N.2
-
6
-
-
0347900506
-
Strong stability preserving properties of Runge-Kutta time discretization methods for linear constant coefficient operators
-
Gottlieb, S., and Gottlieb, L.-J. (2003). Strong stability preserving properties of Runge-Kutta time discretization methods for linear constant coefficient operators, J. Sci. Compu. 18, 83-110.
-
(2003)
J. Sci. Compu.
, vol.18
, pp. 83-110
-
-
Gottlieb, S.1
Gottlieb, L.-J.2
-
7
-
-
0032345207
-
Total variation diminishing Runge-Kutta schemes
-
Gottlieb, S., and Shu, C.-W. (1998). Total variation diminishing Runge-Kutta schemes, Math. Compu. 67, 73-85.
-
(1998)
Math. Compu.
, vol.67
, pp. 73-85
-
-
Gottlieb, S.1
Shu, C.-W.2
-
8
-
-
0035273564
-
Strong stability preserving high-order time discretization methods
-
Gottlieb, S., Shu, C.-W., and Tadmor, E. (2001). Strong stability preserving high-order time discretization methods, SIAM Review 43, 89-112.
-
(2001)
SIAM Review
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
9
-
-
84966257131
-
The CFL condition for spectral approximations to hyperbolic initial-boundary value problems
-
Gottlieb, D., and Tadmor, E. (1995). The CFL condition for spectral approximations to hyperbolic initial-boundary value problems, Math. Comput. 56, 565-588.
-
(1995)
Math. Comput.
, vol.56
, pp. 565-588
-
-
Gottlieb, D.1
Tadmor, E.2
-
10
-
-
28844482405
-
Strong stability preserving Runge-Kutta methods for fast downwind biased discretizations
-
to appear
-
Gottlieb, S., and Ruuth, S.J. Strong stability preserving Runge-Kutta methods for fast downwind biased discretizations, to appear in J. Sci. Comput.
-
J. Sci. Comput.
-
-
Gottlieb, S.1
Ruuth, S.J.2
-
11
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
Harten, A. (1983). High resolution schemes for hyperbolic conservation laws, J. Comput. Phys. 49, 357-393.
-
(1983)
J. Comput. Phys.
, vol.49
, pp. 357-393
-
-
Harten, A.1
-
12
-
-
3042714776
-
On strong stability preserving methods
-
Higueras, I. (2004) On strong stability preserving methods. J. Sci Comput. 21,193-223.
-
(2004)
J. Sci Comput.
, vol.21
, pp. 193-223
-
-
Higueras, I.1
-
14
-
-
2342460322
-
Monotonicity-preserving linear multistep methods
-
Hundsdorfer, W., Ruuth, S.J., and Spiteri, R.J. (2003). Monotonicity-preserving linear multistep methods. SIAM J. Num. Anal. 41, 605-623.
-
(2003)
SIAM J. Num. Anal.
, vol.41
, pp. 605-623
-
-
Hundsdorfer, W.1
Ruuth, S.J.2
Spiteri, R.J.3
-
15
-
-
0034316651
-
Low storage explicit Runge-Kutta schemes for the compressible navier-stokes equations
-
Kennedy, G, Carpenter, M., and Lewis, R. (2000). Low storage explicit Runge-Kutta schemes for the compressible navier-stokes equations, Appl. Nume. Math. 35, 177-219.
-
(2000)
Appl. Nume. Math.
, vol.35
, pp. 177-219
-
-
Kennedy, G.1
Carpenter, M.2
Lewis, R.3
-
16
-
-
0001813542
-
Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems
-
Kraaijevanger, J.F.B.M. (1986). Absolute monotonicity of polynomials occurring in the numerical solution of initial value problems, Numerische Mathematik 48, 303-322.
-
(1986)
Numerische Mathematik
, vol.48
, pp. 303-322
-
-
Kraaijevanger, J.F.B.M.1
-
17
-
-
0000625694
-
Contractivity of Runge-Kutta methods
-
Kraaijevanger, J.F.B.M. (1991). Contractivity of Runge-Kutta methods, BIT 31, 482-528.
-
(1991)
BIT
, vol.31
, pp. 482-528
-
-
Kraaijevanger, J.F.B.M.1
-
18
-
-
0003855855
-
New high-resolution schemes for nonlinear conservation laws and related convection-diffusion equations
-
Kurganov, A., and Tadmor, E. New high-resolution schemes for nonlinear conservation laws and related convection-diffusion equations, UCLA CAM Report No. 99-16.
-
UCLA CAM Report No. 99-16
, vol.99
, Issue.16
-
-
Kurganov, A.1
Tadmor, E.2
-
19
-
-
84966211896
-
Contractivity preserving implicit linear multi step methods
-
Lenferink, H.W.J. (1991). Contractivity preserving implicit linear multi step methods, Math. Comput. 56, 177-199.
-
(1991)
Math. Comput.
, vol.56
, pp. 177-199
-
-
Lenferink, H.W.J.1
-
20
-
-
0032014411
-
From semi-discrete to fully discrete: Stability of RungeKutta schemes by the energy method
-
Levy, D. and Tadmor, E. (1998). From semi-discrete to fully discrete: stability of RungeKutta schemes by the energy method. SIAM Review, 40, 40-73.
-
(1998)
SIAM Review
, vol.40
, pp. 40-73
-
-
Levy, D.1
Tadmor, E.2
-
21
-
-
0000592595
-
Weighted essentially non-oscillatory schemes
-
Liu, X-D., Osher, S., and Chan, T. (1994). Weighted essentially non-oscillatory schemes J. Comput. Phys. 115 (1), 200.
-
(1994)
J. Comput. Phys.
, vol.115
, Issue.1
, pp. 200
-
-
Liu, X.-D.1
Osher, S.2
Chan, T.3
-
22
-
-
28144455569
-
Non-oscillatory central differencing for hyperbolic conservation laws
-
Nessyahu, H., and Tadmor, E. (1990). Non-oscillatory central differencing for hyperbolic conservation laws, J. Comp. Phys. 87, 408-463.
-
(1990)
J. Comp. Phys.
, vol.87
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
23
-
-
0021513288
-
High resolution schemes and the entropy condition
-
Osher, S., and Chakravarthy, S. (1984). High resolution schemes and the entropy condition. SIAM J. Num. Anal. 21, 955-984.
-
(1984)
SIAM J. Num. Anal.
, vol.21
, pp. 955-984
-
-
Osher, S.1
Chakravarthy, S.2
-
24
-
-
84966232121
-
On the convergence of difference approximations to scalar conservation laws
-
Osher, S., and Tadmor, E. (1988).On the convergence of difference approximations to scalar conservation laws. Math. Comp. 50, 19-51.
-
(1988)
Math. Comp.
, vol.50
, pp. 19-51
-
-
Osher, S.1
Tadmor, E.2
-
25
-
-
0013150498
-
Two barriers on strong-stability-preserving time discretization methods
-
Ruuth, S.J., and Spiteri, R.J. (2002). Two barriers on strong-stability-preserving time discretization methods. J. Sci. Comp. 17, 211-220.
-
(2002)
J. Sci. Comp.
, vol.17
, pp. 211-220
-
-
Ruuth, S.J.1
Spiteri, R.J.2
-
26
-
-
14844365146
-
Downwinding in high-order strong-stability-preserving Runge-Kutta methods
-
Ruuth, S.J., and Spiteri, R.J. (2004). Downwinding in high-order strong-stability-preserving Runge-Kutta methods. SIAM J. Numer. Anal. 42, 974-996.
-
(2004)
SIAM J. Numer. Anal.
, vol.42
, pp. 974-996
-
-
Ruuth, S.J.1
Spiteri, R.J.2
-
27
-
-
32944469214
-
Global optimization of strong-stability preserving Runge-Kutta methods
-
to appear
-
Ruuth, S. Global optimization of strong-stability preserving Runge-Kutta methods, to appear in Math. Comput.
-
Math. Comput.
-
-
Ruuth, S.1
-
28
-
-
0000564951
-
Total-variation-diminishing time discretizations
-
Shu, C.-W. (1988). Total-variation-diminishing time discretizations. SIAM J. Sci. Stat. Comput. 9, 1073-1084.
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 1073-1084
-
-
Shu, C.-W.1
-
29
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
Shu, C.-W., and Osher, S. (1998). Efficient implementation of essentially non-oscillatory shock-capturing schemes. J. Comput. Phy. 77, 439-471.
-
(1998)
J. Comput. Phy.
, vol.77
, pp. 439-471
-
-
Shu, C.-W.1
Osher, S.2
-
30
-
-
3042794331
-
-
Estep, D. and Tavener, S. Collected Lectures on the Preservation of Stability under Discretization SIAM
-
Shu, C.-W. (2002). A survey of strong stability preserving high order time discretizations. In Estep, D. and Tavener, S. Collected Lectures on the Preservation of Stability under Discretization SIAM, pp. 51-65.
-
(2002)
A Survey of Strong Stability Preserving High Order Time Discretizations
, pp. 51-65
-
-
Shu, C.-W.1
-
31
-
-
0001118530
-
A new class of optimal high-order strong-stability-preserving time discretization methods
-
Spiteri, R.J., and Ruuth, S.J., (2002). A new class of optimal high-order strong-stability-preserving time discretization methods. SIAM J. Numer. Anal. 40, 469-491.
-
(2002)
SIAM J. Numer. Anal.
, vol.40
, pp. 469-491
-
-
Spiteri, R.J.1
Ruuth, S.J.2
-
32
-
-
0037434586
-
Nonlinear evolution using optimal fourth-order strong-stability- preserving Runge-Kutta methods
-
Spiteri, R.J., and Ruuth, S.J. (2003). Nonlinear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. J. Math. Comput. Simul. 62, 125-135.
-
(2003)
J. Math. Comput. Simul.
, vol.62
, pp. 125-135
-
-
Spiteri, R.J.1
Ruuth, S.J.2
-
33
-
-
33748538768
-
Accurate partial difference methods II: Nonlinear problems
-
Strang, G. (1964). Accurate partial difference methods II: nonlinear problems. Numerische Mathematik 6, 37.
-
(1964)
Numerische Mathematik
, vol.6
, pp. 37
-
-
Strang, G.1
-
35
-
-
0021513424
-
High resolution schemes using flux limiters for hyperbolic conservation laws
-
Sweby, P.K. (1984) High resolution schemes using flux limiters for hyperbolic conservation laws. SIAM J. Num. Anal. 21, 995-1011.
-
(1984)
SIAM J. Num. Anal.
, vol.21
, pp. 995-1011
-
-
Sweby, P.K.1
-
36
-
-
0002033981
-
Approximate solutions of nonlinear conservation laws
-
Quarteroni, A. (ed.)
-
Tadmor, E. (1988). Approximate solutions of nonlinear conservation laws. In Quarteroni, A. (ed.), "Advanced Numerical Approximation of Nonlinear Hyperbolic Equations," Lectures Notes from CIME Course Cetraro, Italy, 1997 Lecture Notes in Mathematics 1697, Springer-Verlag, Berlin pp. 1-150.
-
(1988)
"Advanced Numerical Approximation of Nonlinear Hyperbolic Equations," Lectures Notes from CIME Course Cetraro, Italy, 1997 Lecture Notes in Mathematics 1697, Springer-Verlag, Berlin
, pp. 1-150
-
-
Tadmor, E.1
-
37
-
-
0002255298
-
Low-storage Runge-Kutta schemes
-
Williamson, J.H. (1980). Low-storage Runge-Kutta schemes. J. Comput. Phy. 35, 48-56.
-
(1980)
J. Comput. Phy.
, vol.35
, pp. 48-56
-
-
Williamson, J.H.1
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