-
1
-
-
0001266425
-
Diagonally implicit Runge-Kutta methods for stiff ODEs
-
Alexander R. Diagonally implicit Runge-Kutta methods for stiff ODEs. SIAM J. Numer. Anal. 14:1977;1006-1021.
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 1006-1021
-
-
Alexander, R.1
-
2
-
-
0030149838
-
Highly stable parallel Runge-Kutta methods
-
Bendtsen C. Highly stable parallel Runge-Kutta methods. Appl. Numer. Math. 21:1996;1-8.
-
(1996)
Appl. Numer. Math.
, vol.21
, pp. 1-8
-
-
Bendtsen, C.1
-
3
-
-
0022738825
-
Matrix-free methods for stiff systems of ODE's
-
Brown P.N., Hindmarsh A.C. Matrix-free methods for stiff systems of ODE's. SIAM J. Numer. Anal. 23:1986;610-638.
-
(1986)
SIAM J. Numer. Anal.
, vol.23
, pp. 610-638
-
-
Brown, P.N.1
Hindmarsh, A.C.2
-
4
-
-
0000286812
-
Using Krylov methods in the solution of large-scale differential-algebraic systems
-
Brown P.N., Hindmarsh A.C., Petzold L.R. Using Krylov methods in the solution of large-scale differential-algebraic systems. SIAM J. Sci. Comput. 15:1994;1467-1488.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1467-1488
-
-
Brown, P.N.1
Hindmarsh, A.C.2
Petzold, L.R.3
-
5
-
-
0002612111
-
A special family of Runge-Kutta methods for solving stiff differential equations
-
Burrage K. A special family of Runge-Kutta methods for solving stiff differential equations. BIT. 18:1978;22-41.
-
(1978)
BIT
, vol.18
, pp. 22-41
-
-
Burrage, K.1
-
6
-
-
0025557367
-
On symmetric Runge-Kutta methods of high order
-
Chan R.P.K. On symmetric Runge-Kutta methods of high order. Computing. 45:1990;301-309.
-
(1990)
Computing
, vol.45
, pp. 301-309
-
-
Chan, R.P.K.1
-
7
-
-
0001503361
-
The use of iterative linear equation solvers in codes for large systems of stiff IVPs for ODEs
-
Chan T.F., Jackson K.R. The use of iterative linear equation solvers in codes for large systems of stiff IVPs for ODEs. SIAM J. Sci. Statist. Comput. 7:1986;378-417.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, pp. 378-417
-
-
Chan, T.F.1
Jackson, K.R.2
-
8
-
-
0012149379
-
An iteration scheme for implicit Runge-Kutta methods
-
Cooper G.J., Butcher J.C. An iteration scheme for implicit Runge-Kutta methods. IMA J. Numer. Anal. 3:1983;127-140.
-
(1983)
IMA J. Numer. Anal.
, vol.3
, pp. 127-140
-
-
Cooper, G.J.1
Butcher, J.C.2
-
9
-
-
0025546535
-
A scheme for the implementation of implicit Runge-Kutta methods
-
Cooper G.J., Vignesvaran R. A scheme for the implementation of implicit Runge-Kutta methods. Computing. 45:1990;321-332.
-
(1990)
Computing
, vol.45
, pp. 321-332
-
-
Cooper, G.J.1
Vignesvaran, R.2
-
12
-
-
0001436426
-
Iterative solution of linear equations in ODE codes
-
Gear C.W., Saad Y. Iterative solution of linear equations in ODE codes. SIAM J. Sci. Statist. Comput. 4:1983;583-601.
-
(1983)
SIAM J. Sci. Statist. Comput.
, vol.4
, pp. 583-601
-
-
Gear, C.W.1
Saad, Y.2
-
13
-
-
0040109314
-
Construction of high order symplectic Runge-Kutta methods
-
Geng S. Construction of high order symplectic Runge-Kutta methods. J. Comput. Math. 11:1993;250-260.
-
(1993)
J. Comput. Math.
, vol.11
, pp. 250-260
-
-
Geng, S.1
-
14
-
-
0016072410
-
On block elimination for sparse linear systems
-
George J.A. On block elimination for sparse linear systems. SIAM J. Numer. Anal. 11:1974;585-603.
-
(1974)
SIAM J. Numer. Anal.
, vol.11
, pp. 585-603
-
-
George, J.A.1
-
15
-
-
0010185087
-
Matrix computations
-
The Johns Hopkins Univ. Press, Baltimore
-
G. Golub, C.F. van Loan, Matrix computations, Johns Hopkins Studies in the Math. Sci., 3rd Edition, The Johns Hopkins Univ. Press, Baltimore, 1996.
-
(1996)
Johns Hopkins Studies in the Math. Sci., 3rd Edition
-
-
Golub, G.1
Van Loan, C.F.2
-
18
-
-
0038394260
-
Algebraically stable and implementable Runge-Kutta methods of high order
-
Hairer E., Wanner G. Algebraically stable and implementable Runge-Kutta methods of high order. SIAM J. Numer. Anal. 18:1981;1098-1108.
-
(1981)
SIAM J. Numer. Anal.
, vol.18
, pp. 1098-1108
-
-
Hairer, E.1
Wanner, G.2
-
19
-
-
0040702936
-
Characterization of non-linearly stable implicit Runge-Kutta methods
-
in Numerical Integration of Differential Equations
-
E. Hairer, G. Wanner, Characterization of non-linearly stable implicit Runge-Kutta methods, in Numerical Integration of Differential Equations, Lecture Notes in Mathematics, Vol. 968, 1982, pp. 207-219.
-
(1982)
Lecture Notes in Mathematics
, vol.968
, pp. 207-219
-
-
Hairer, E.1
Wanner, G.2
-
20
-
-
0003282818
-
Solving Ordinary Differential Equations II.
-
Springer, Berlin
-
E. Hairer, G. Wanner, Solving Ordinary Differential Equations II. Stiff and Differential-Algebraic Problems, 2nd Revised Edition, Comput. Math., Vol. 14, Springer, Berlin, 1996.
-
(1996)
Stiff and Differential-Algebraic Problems, 2nd Revised Edition, Comput. Math.
, vol.14
-
-
Hairer, E.1
Wanner, G.2
-
21
-
-
0038925108
-
Approximating Runge-Kutta matrices by triangular matrices
-
Hoffmann W., de Swart J.J.B. Approximating Runge-Kutta matrices by triangular matrices. BIT. 37:1997;346-354.
-
(1997)
BIT
, vol.37
, pp. 346-354
-
-
Hoffmann, W.1
De Swart, J.J.B.2
-
22
-
-
0032228613
-
Structure-preservation for constrained dynamics with super partitioned additive Runge-Kutta methods
-
Jay L.O. Structure-preservation for constrained dynamics with super partitioned additive Runge-Kutta methods. SIAM J. Sci. Comput. 20:1999;416-446.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, pp. 416-446
-
-
Jay, L.O.1
-
23
-
-
0040364446
-
Semi-explicit Runge-Kutta methods
-
Univ. of Trondheim, Norway
-
S.P. N ø rsett, Semi-explicit Runge-Kutta methods, Technical Report 6/74 Dept. of Math., Univ. of Trondheim, Norway, 1974.
-
(1974)
Technical Report 6/74 Dept. of Math.
-
-
Nørsett, S.P.1
-
24
-
-
0027166528
-
Parallel Runge-Kutta methods with real eigenvalues
-
Orel B. Parallel Runge-Kutta methods with real eigenvalues. APNUM. 11:1993;241-250.
-
(1993)
APNUM
, vol.11
, pp. 241-250
-
-
Orel, B.1
-
25
-
-
0041567527
-
Methods for Solving Systems of Nonlinear Equations
-
Philadelphia, Second Revised and Expanded Edition
-
W. Rheinboldt, Methods for Solving Systems of Nonlinear Equations, SIAM Classics in Appl. Math. SIAM, Philadelphia, Second Revised and Expanded Edition, 1999.
-
(1999)
SIAM Classics in Appl. Math. SIAM
-
-
Rheinboldt, W.1
-
26
-
-
0000048673
-
GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
-
Saad Y., Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Statist Comput. 7:1986;856-869.
-
(1986)
SIAM J. Sci. Statist Comput.
, vol.7
, pp. 856-869
-
-
Saad, Y.1
Schultz, M.H.2
-
27
-
-
0030621829
-
Triangularly implicit iteration methods for ODE-IVP solvers
-
van der Houwen P.J., de Swart J.J.B. Triangularly implicit iteration methods for ODE-IVP solvers. SIAM J. Sci. Comput. 18:1997;41-55.
-
(1997)
SIAM J. Sci. Comput.
, vol.18
, pp. 41-55
-
-
Van Der Houwen, P.J.1
De Swart, J.J.B.2
|