-
3
-
-
11244318599
-
Stepsize restrictions for the total-variation-diminishing property in general Runge-Kutta methods
-
Ferracina, L., and Spijker, M. N. (2005). Stepsize restrictions for the total-variation-diminishing property in general Runge-Kutta methods. Math. Comp. 74, 201-219.
-
(2005)
Math. Comp.
, vol.74
, pp. 201-219
-
-
Ferracina, L.1
Spijker, M.N.2
-
4
-
-
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 Rev. 43, 89-112.
-
(2001)
SIAM Rev.
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.W.2
Tadmor, E.3
-
5
-
-
0032345207
-
Total variation diminishing Runge-Kutta schemes
-
Gottlieb, S., and Shu, C. W. (1998). Total variation diminishing Runge-Kutta schemes. Math. Comp. 67, 73-85.
-
(1998)
Math. Comp.
, vol.67
, pp. 73-85
-
-
Gottlieb, S.1
Shu, C.W.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. Comput. 18, 83-109.
-
(2003)
J. Sci. Comput.
, vol.18
, pp. 83-109
-
-
Gottlieb, S.1
Gottlieb, L.J.2
-
7
-
-
0003753516
-
-
John Willey, New York
-
Gustafsson, B., Kreiss H. O., and Oliger, J. (1995). Time Dependent Problems and Difference Methods, John Willey, New York.
-
(1995)
Time Dependent Problems and Difference Methods
-
-
Gustafsson, B.1
Kreiss, H.O.2
Oliger, J.3
-
8
-
-
3042714776
-
On strong stability preserving time discretization methods
-
To appear
-
Higueras, I. (2004). On strong stability preserving time discretization methods. To appear in J. Sci. Comput. 21, 193-223.
-
(2004)
J. Sci. Comput.
, vol.21
, pp. 193-223
-
-
Higueras, I.1
-
9
-
-
0032014411
-
From semidiscrete to fully discrete:stability of Runge-Kutta schemes by the energy method
-
Levy, D., and Tadmor, E. (1998). From semidiscrete to fully discrete:stability of Runge-Kutta schemes by the energy method. SIAM Rev. 40, 40-73.
-
(1998)
SIAM Rev.
, vol.40
, pp. 40-73
-
-
Levy, D.1
Tadmor, E.2
-
10
-
-
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
-
12
-
-
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. Comput. 17, 211-220.
-
(2002)
J. Sci. Comput.
, vol.17
, pp. 211-220
-
-
Ruuth, S.J.1
Spiteri, R.J.2
-
13
-
-
45449125925
-
Efficient implementation of essentially non-oscillatory shock-capturing schemes
-
Shu, C. W., and Osher, S. (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
-
14
-
-
3042794331
-
A survey of strong stability preserving high order time discretizations
-
D. Estep and S. Tavener, (eds), SIAM
-
Shu, C. W. (2002). A survey of strong stability preserving high order time discretizations, In: D. Estep and S. Tavener, (eds). Proceedings in Applied Mathematics 109, SIAM, pp. 51-65
-
(2002)
Proceedings in Applied Mathematics
, vol.109
, pp. 51-65
-
-
Shu, C.W.1
-
15
-
-
0040109369
-
Contractivity in the numerical solution of initial value problems
-
Spijker, M. N. (1983). Contractivity in the numerical solution of initial value problems. Numer. Math. 42, 271-290.
-
(1983)
Numer. Math.
, vol.42
, pp. 271-290
-
-
Spijker, M.N.1
-
16
-
-
84966240305
-
Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems
-
Spijker, M. N. (1985). Stepsize restrictions for stability of one-step methods in the numerical solution of initial value problems. Math. Comp. 45, 377-392.
-
(1985)
Math. Comp.
, vol.45
, pp. 377-392
-
-
Spijker, M.N.1
-
17
-
-
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
-
18
-
-
0242380552
-
From semidiscrete to fully discrete: Stability of Runge-kutta schemes by the energy method II, Collected lectures on the preservation of stability under discretization
-
Estep, D. and Tavener, S. (eds), SIAM
-
Tadmor, E. (2002). From semidiscrete to fully discrete: stability of Runge-kutta schemes by the energy method II, Collected lectures on the preservation of stability under discretization. In: Estep, D. and Tavener, S. (eds). Proceedings in Applied Mathematics Vol. 109, SIAM, pp. 25-49
-
(2002)
Proceedings in Applied Mathematics
, vol.109
, pp. 25-49
-
-
Tadmor, E.1
-
19
-
-
0343995537
-
Stability radius of polynomials occurring in the numerical solution of initial value problems
-
Van der Marel, R. P. (1990). Stability radius of polynomials occurring in the numerical solution of initial value problems. BIT 30, 516-528.
-
(1990)
BIT
, vol.30
, pp. 516-528
-
-
Van Der Marel, R.P.1
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