-
1
-
-
0036441445
-
Stability of numerical methods for ordinary differential equations
-
J.C. Butcher, and A.D. Heard Stability of numerical methods for ordinary differential equations Numer. Algorithms 31 2002 59 73
-
(2002)
Numer. Algorithms
, vol.31
, pp. 59-73
-
-
Butcher, J.C.1
Heard, A.D.2
-
3
-
-
0000687568
-
A PI stepsize control for the numerical solution of ordinary differential equations
-
K. Gustafsson, M. Lundh, and G. Söderlind A PI stepsize control for the numerical solution of ordinary differential equations BIT 28 1988 270 287
-
(1988)
BIT
, vol.28
, pp. 270-287
-
-
Gustafsson, K.1
Lundh, M.2
Söderlind, G.3
-
4
-
-
0026283488
-
Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods
-
K. Gustafsson Control theoretic techniques for stepsize selection in explicit Runge-Kutta methods ACM TOMS 17 1991 533 554
-
(1991)
ACM TOMS
, vol.17
, pp. 533-554
-
-
Gustafsson, K.1
-
5
-
-
0028737039
-
Control theoretic techniques for stepsize selection in implicit Runge-Kutta methods
-
K. Gustafsson Control theoretic techniques for stepsize selection in implicit Runge-Kutta methods ACM TOMS 20 1994 496 517
-
(1994)
ACM TOMS
, vol.20
, pp. 496-517
-
-
Gustafsson, K.1
-
6
-
-
0030621839
-
Control strategies for the iterative solution of nonlinear equations in ODE solvers
-
K. Gustafsson, and G. Söderlind Control strategies for the iterative solution of nonlinear equations in ODE solvers SIAM J. Sci. Comput. 18 1997 23 40
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 23-40
-
-
Gustafsson, K.1
Söderlind, G.2
-
9
-
-
27844551675
-
Explicit, time reversible, adaptive step size control
-
in press
-
E. Hairer, G. Söderlind, Explicit, time reversible, adaptive step size control, SIAM J. Sci. Comput. (2005), in press
-
(2005)
SIAM J. Sci. Comput.
-
-
Hairer, E.1
Söderlind, G.2
-
10
-
-
0022129420
-
Equilibrium states of Runge-Kutta schemes
-
G. Hall Equilibrium states of Runge-Kutta schemes ACM TOMS 11 1985 289 301
-
(1985)
ACM TOMS
, vol.11
, pp. 289-301
-
-
Hall, G.1
-
11
-
-
0022782266
-
Equilibrium states of Runge-Kutta schemes, part II
-
G. Hall Equilibrium states of Runge-Kutta schemes, part II ACM TOMS 12 1986 183 192
-
(1986)
ACM TOMS
, vol.12
, pp. 183-192
-
-
Hall, G.1
-
12
-
-
0039439405
-
Analysis of stepsize selection schemes for Runge-Kutta codes
-
G. Hall, and D. Higham Analysis of stepsize selection schemes for Runge-Kutta codes IMA J. Numer. Anal. 8 1988 305 310
-
(1988)
IMA J. Numer. Anal.
, vol.8
, pp. 305-310
-
-
Hall, G.1
Higham, D.2
-
13
-
-
0025244473
-
Embedded Runge-Kutta formulae with stable equilibrium states
-
D. Higham, and G. Hall Embedded Runge-Kutta formulae with stable equilibrium states J. Comput. Appl. Math. 29 1990 25 33
-
(1990)
J. Comput. Appl. Math.
, vol.29
, pp. 25-33
-
-
Higham, D.1
Hall, G.2
-
14
-
-
0032131424
-
Stage value predictors and efficient Newton iterations in implicit Runge-Kutta methods
-
H. Olsson, and G. Söderlind Stage value predictors and efficient Newton iterations in implicit Runge-Kutta methods SIAM J. Sci. Comput. 20 1999 185 202
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 185-202
-
-
Olsson, H.1
Söderlind, G.2
-
15
-
-
0042686326
-
The approximate Runge-Kutta computational process
-
H. Olsson, and G. Söderlind The approximate Runge-Kutta computational process BIT 40 2000 351 373
-
(2000)
BIT
, vol.40
, pp. 351-373
-
-
Olsson, H.1
Söderlind, G.2
-
16
-
-
0031331907
-
On the construction of error estimators for implicit Runge-Kutta methods
-
J.J.B. de Swart, and G. Söderlind On the construction of error estimators for implicit Runge-Kutta methods J. Comput. Appl. Math. 86 1997 347 358
-
(1997)
J. Comput. Appl. Math.
, vol.86
, pp. 347-358
-
-
De Swart, J.J.B.1
Söderlind, G.2
-
17
-
-
0036441379
-
Automatic control and adaptive time-stepping
-
G. Söderlind Automatic control and adaptive time-stepping Numer. Algorithms 31 2002 281 310
-
(2002)
Numer. Algorithms
, vol.31
, pp. 281-310
-
-
Söderlind, G.1
-
18
-
-
3042616322
-
Digital filters in adaptive time-stepping
-
G. Söderlind Digital filters in adaptive time-stepping ACM Trans. Math. Software 29 2003 1 26
-
(2003)
ACM Trans. Math. Software
, vol.29
, pp. 1-26
-
-
Söderlind, G.1
-
19
-
-
33644633272
-
Adaptive time-stepping and computational stability
-
submitted for publication
-
G. Söderlind, L. Wang, Adaptive time-stepping and computational stability, J. Comp. Appl. Math. (2005), submitted for publication
-
(2005)
J. Comp. Appl. Math.
-
-
Söderlind, G.1
Wang, L.2
-
20
-
-
33644620094
-
Evaluating numerical ODE/DAE methods, algorithms and software
-
submitted for publication
-
G. Söderlind, L. Wang, Evaluating numerical ODE/DAE methods, algorithms and software, J. Comp. Appl. Math. (2005), submitted for publication
-
(2005)
J. Comp. Appl. Math.
-
-
Söderlind, G.1
Wang, L.2
-
21
-
-
0029229318
-
Variable steps for reversible integration methods
-
D. Stoffer Variable steps for reversible integration methods Computing 55 1995 1 22
-
(1995)
Computing
, vol.55
, pp. 1-22
-
-
Stoffer, D.1
-
22
-
-
0021428206
-
Step size control in ordinary differential equation solvers
-
H.A. Watts Step size control in ordinary differential equation solvers Trans. Soc. Comput. Simulation 1 1984 15 25
-
(1984)
Trans. Soc. Comput. Simulation
, vol.1
, pp. 15-25
-
-
Watts, H.A.1
-
23
-
-
33644619212
-
Automatic Numerical Integration
-
CWI Amsterdam
-
J.A. Zonneveld Automatic Numerical Integration PhD thesis Math. Centre Tracts vol. 8 1964 CWI Amsterdam
-
(1964)
Math. Centre Tracts
, vol.8
-
-
Zonneveld, J.A.1
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