-
1
-
-
0032344798
-
Construction of two-step Runge-Kutta methods of high order for ordinary differential equations
-
Z. Bartoszewski, and Z. Jackiewicz Construction of two-step Runge-Kutta methods of high order for ordinary differential equations Numer. Algorithms 18 1998 51 70
-
(1998)
Numer. Algorithms
, vol.18
, pp. 51-70
-
-
Bartoszewski, Z.1
Jackiewicz, Z.2
-
2
-
-
0041338081
-
Toward a two-step Runge-Kutta code for nonstiff differential equations
-
Z. Bartoszewski, and Z. Jackiewicz Toward a two-step Runge-Kutta code for nonstiff differential equations Appl. Math. 28 2001 353 365
-
(2001)
Appl. Math.
, vol.28
, pp. 353-365
-
-
Bartoszewski, Z.1
Jackiewicz, Z.2
-
3
-
-
0036630251
-
Stability analysis of two-step Runge-Kutta methods for delay differential equations
-
Z. Bartoszewski, and Z. Jackiewicz Stability analysis of two-step Runge-Kutta methods for delay differential equations Comput. Math. Appl. 44 2002 83 93
-
(2002)
Comput. Math. Appl.
, vol.44
, pp. 83-93
-
-
Bartoszewski, Z.1
Jackiewicz, Z.2
-
6
-
-
0000452884
-
Implementation of diagonally implicit multistage integration methods for ordinary differential equations
-
J.C. Butcher, and Z. Jackiewicz Implementation of diagonally implicit multistage integration methods for ordinary differential equations SIAM J. Numer. Anal. 34 1997 2119 2141
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2119-2141
-
-
Butcher, J.C.1
Jackiewicz, Z.2
-
7
-
-
0042318570
-
A reliable error estimation for diagonally implicit multistage integration methods
-
J.C. Butcher, and Z. Jackiewicz A reliable error estimation for diagonally implicit multistage integration methods BIT 41 2001 656 665
-
(2001)
BIT
, vol.41
, pp. 656-665
-
-
Butcher, J.C.1
Jackiewicz, Z.2
-
9
-
-
0345060035
-
A new approach to error estimation for general linear methods
-
J.C. Butcher, and Z. Jackiewicz A new approach to error estimation for general linear methods Numer. Math. 95 2003 487 502
-
(2003)
Numer. Math.
, vol.95
, pp. 487-502
-
-
Butcher, J.C.1
Jackiewicz, Z.2
-
10
-
-
0031212298
-
Order conditions for two-step Runge-Kutta methods
-
J.C. Butcher, and S. Tracogna Order conditions for two-step Runge-Kutta methods Appl. Numer. Math. 24 1997 351 364
-
(1997)
Appl. Numer. Math.
, vol.24
, pp. 351-364
-
-
Butcher, J.C.1
Tracogna, S.2
-
11
-
-
0005366895
-
Pseudo-Runge-Kutta methods involving two points
-
G.D. Byrne, and R.J. Lambert Pseudo-Runge-Kutta methods involving two points J. Assoc. Comput. Mach. 13 1966 114 123
-
(1966)
J. Assoc. Comput. Mach.
, vol.13
, pp. 114-123
-
-
Byrne, G.D.1
Lambert, R.J.2
-
12
-
-
0042121057
-
Construction of two-step Runge-Kutta methods with large regions of absolute stability
-
J. Chollom, and Z. Jackiewicz Construction of two-step Runge-Kutta methods with large regions of absolute stability J. Comput. Appl. Math. 157 2003 125 137
-
(2003)
J. Comput. Appl. Math.
, vol.157
, pp. 125-137
-
-
Chollom, J.1
Jackiewicz, Z.2
-
15
-
-
0005297545
-
Order conditions for general two-step Runge-Kutta methods
-
E. Hairer, and G. Wanner Order conditions for general two-step Runge-Kutta methods SIAM J. Numer. Anal. 34 1997 2087 2089
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 2087-2089
-
-
Hairer, E.1
Wanner, G.2
-
16
-
-
38249001338
-
The tolerance proportionality of adaptive ODE solvers
-
D.J. Higham The tolerance proportionality of adaptive ODE solvers J. Comput. Appl. Math. 45 1993 227 236
-
(1993)
J. Comput. Appl. Math.
, vol.45
, pp. 227-236
-
-
Higham, D.J.1
-
19
-
-
0001164459
-
A general class of two-step Runge-Kutta methods for ordinary differential equations
-
Z. Jackiewicz, and S. Tracogna A general class of two-step Runge-Kutta methods for ordinary differential equations SIAM J. Numer. Anal. 32 1995 1390 1427
-
(1995)
SIAM J. Numer. Anal.
, vol.32
, pp. 1390-1427
-
-
Jackiewicz, Z.1
Tracogna, S.2
-
21
-
-
21344471075
-
Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations
-
Z. Jackiewicz, and S. Tracogna Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations Numer. Algorithms 12 1996 347 368
-
(1996)
Numer. Algorithms
, vol.12
, pp. 347-368
-
-
Jackiewicz, Z.1
Tracogna, S.2
-
22
-
-
0001472260
-
General linear methods with external stages of different orders
-
Z. Jackiewicz, and R. Vermiglio General linear methods with external stages of different orders BIT 36 1996 688 712
-
(1996)
BIT
, vol.36
, pp. 688-712
-
-
Jackiewicz, Z.1
Vermiglio, R.2
-
23
-
-
0042840802
-
Derivation and implementation of two-step Runge-Kutta pairs
-
Z. Jackiewicz, and J.H. Verner Derivation and implementation of two-step Runge-Kutta pairs Japan J. Indust. Appl. Math. 19 2002 227 248
-
(2002)
Japan J. Indust. Appl. Math.
, vol.19
, pp. 227-248
-
-
Jackiewicz, Z.1
Verner, J.H.2
-
24
-
-
84968518141
-
Variable-stepsize explicit two-step Runge-Kutta methods
-
Z. Jackiewicz, and M. Zennaro Variable-stepsize explicit two-step Runge-Kutta methods Math. Comp. 59 1992 421 438
-
(1992)
Math. Comp.
, vol.59
, pp. 421-438
-
-
Jackiewicz, Z.1
Zennaro, M.2
-
27
-
-
84966199026
-
Order barriers for continuous explicit Runge-Kutta methods
-
B. Owren, and M. Zennaro Order barriers for continuous explicit Runge-Kutta methods Math. Comp. 56 1991 645 661
-
(1991)
Math. Comp.
, vol.56
, pp. 645-661
-
-
Owren, B.1
Zennaro, M.2
-
28
-
-
0043242780
-
Derivation of efficient, continuous, explicit Runge-Kutta methods
-
B. Owren, and M. Zennaro Derivation of efficient, continuous, explicit Runge-Kutta methods SIAM J. Sci. Statist. Comput. 13 1992 1488 1501
-
(1992)
SIAM J. Sci. Statist. Comput.
, vol.13
, pp. 1488-1501
-
-
Owren, B.1
Zennaro, M.2
-
29
-
-
84966250956
-
Two-step Runge-Kutta methods and hyperbolic partial differential equations
-
R.A. Renaut Two-step Runge-Kutta methods and hyperbolic partial differential equations Math. Comp. 55 1990 563 579
-
(1990)
Math. Comp.
, vol.55
, pp. 563-579
-
-
Renaut, R.A.1
-
30
-
-
0021777240
-
The step sizes used by one-step codes for ODEs
-
L.F. Shampine The step sizes used by one-step codes for ODEs Appl. Numer. Math. 1 1985 95 106
-
(1985)
Appl. Numer. Math.
, vol.1
, pp. 95-106
-
-
Shampine, L.F.1
-
31
-
-
14844326245
-
Tolerance proportionality in ODE codes
-
A. Bellen C.W. Gear E. Russo, Numerical Methods for Ordinary Differential Equations, Springer Berlin
-
L.F. Shampine Tolerance proportionality in ODE codes A. Bellen C.W. Gear E. Russo Numerical Methods for Ordinary Differential Equations Lecture Notes in Mathematics vol. 1386 1989 Springer Berlin 118 136
-
(1989)
Lecture Notes in Mathematics
, vol.1386
, pp. 118-136
-
-
Shampine, L.F.1
-
34
-
-
0030400404
-
Implementation of two-step Runge-Kutta methods for ordinary differential equations
-
S. Tracogna Implementation of two-step Runge-Kutta methods for ordinary differential equations J. Comput. Appl. Math. 76 1997 113 136
-
(1997)
J. Comput. Appl. Math.
, vol.76
, pp. 113-136
-
-
Tracogna, S.1
-
35
-
-
0005292548
-
Two-step Runge-Kutta: Theory and practice
-
S. Tracogna, and B. Welfert Two-step Runge-Kutta: Theory and practice BIT 40 2000 775 799
-
(2000)
BIT
, vol.40
, pp. 775-799
-
-
Tracogna, S.1
Welfert, B.2
-
38
-
-
84966233444
-
Natural continuous extensions of Runge-Kutta methods
-
M. Zennaro Natural continuous extensions of Runge-Kutta methods Math. Comp. 46 1986 119 133
-
(1986)
Math. Comp.
, vol.46
, pp. 119-133
-
-
Zennaro, M.1
-
39
-
-
0040726924
-
Natural Runge-Kutta and projection methods
-
M. Zennaro Natural Runge-Kutta and projection methods Numer. Math. 53 1988 423 438
-
(1988)
Numer. Math.
, vol.53
, pp. 423-438
-
-
Zennaro, M.1
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