-
1
-
-
33747166098
-
B-series and order conditions for exponential integrators
-
BERLAND, H., OWREN, B., AND SKAFLESTAD, B. 2005. B-series and order conditions for exponential integrators. SIAM J. Numer. Anal. 43, 4, 1715-1727.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, Issue.4
, pp. 1715-1727
-
-
BERLAND, H.1
OWREN, B.2
SKAFLESTAD, B.3
-
2
-
-
0001025210
-
A new class of time discretization schemes for the solution of nonlinear PDEs
-
BEYLKIN, G., KEISER, J. M., AND VOZOVOI, L. 1998. A new class of time discretization schemes for the solution of nonlinear PDEs. J. Comp. Phys. 147, 362-387.
-
(1998)
J. Comp. Phys
, vol.147
, pp. 362-387
-
-
BEYLKIN, G.1
KEISER, J.M.2
VOZOVOI, L.3
-
3
-
-
0001356367
-
Nonlinear stability for a general class of differential equation methods
-
BURRAGE, K. AND BUTCHER, J. C. 1980. Nonlinear stability for a general class of differential equation methods. BIT 20, 185-203.
-
(1980)
BIT 20
, pp. 185-203
-
-
BURRAGE, K.1
BUTCHER, J.C.2
-
5
-
-
29144478020
-
A class of multistep exponential integrators for semilinear problems
-
CALVO, M. AND PALENCIA, C. 2006. A class of multistep exponential integrators for semilinear problems. Numer. Math. 102, 367-381.
-
(2006)
Numer. Math
, vol.102
, pp. 367-381
-
-
CALVO, M.1
PALENCIA, C.2
-
6
-
-
0037399954
-
Commutator-free Lie group methods
-
CELLEDONI, E., MARTHINSEN, A., AND OWREN, B. 2003. Commutator-free Lie group methods. Fut. Gen. Comput. Syst. 19, 3, 341-352.
-
(2003)
Fut. Gen. Comput. Syst
, vol.19
, Issue.3
, pp. 341-352
-
-
CELLEDONI, E.1
MARTHINSEN, A.2
OWREN, B.3
-
7
-
-
10644287216
-
The solution of ordinary differential equations with large time constants
-
Wiley, New York, NY
-
CERTAINE, J. 1960. The solution of ordinary differential equations with large time constants. In Mathematical Methods for Digital Computers. Wiley, New York, NY, 128-132.
-
(1960)
Mathematical Methods for Digital Computers
, pp. 128-132
-
-
CERTAINE, J.1
-
8
-
-
0036501083
-
Exponential time differencing for stiff systems
-
COX, S. M. AND MATTHEWS, P. C. 2002. Exponential time differencing for stiff systems. J. Comput. Phys. 176, 2, 430-455.
-
(2002)
J. Comput. Phys
, vol.176
, Issue.2
, pp. 430-455
-
-
COX, S.M.1
MATTHEWS, P.C.2
-
9
-
-
2442552735
-
Generalized Runge-Kutta processes for stiff initial-value problems
-
EHLE, B. L. AND LAWSON, J. D. 1975. Generalized Runge-Kutta processes for stiff initial-value problems. J. Inst. Math. Appl. 16, 11-21.
-
(1975)
J. Inst. Math. Appl
, vol.16
, pp. 11-21
-
-
EHLE, B.L.1
LAWSON, J.D.2
-
10
-
-
0346099850
-
Verallgemeinerte Runge-Kutta Verfahren zur Lösung steifer Differentialgleichungssysteme
-
Numerical Treatment of Differential Equations, Springer, Berlin, Germany
-
FRIEDLI, A. 1978. Verallgemeinerte Runge-Kutta Verfahren zur Lösung steifer Differentialgleichungssysteme. In Numerical Treatment of Differential Equations. Lecture Notes in Mathematics, vol. 631. Springer, Berlin, Germany, 35-50.
-
(1978)
Lecture Notes in Mathematics
, vol.631
, pp. 35-50
-
-
FRIEDLI, A.1
-
11
-
-
0024779854
-
A method for the exponential propagation of large stiff nonlinear differential equations
-
FRIESNER, R. A., TUCKERMAN, L. S., DORNBLASER, B. C., AND RUSSO, T. V. 1989. A method for the exponential propagation of large stiff nonlinear differential equations. J. Sci. Comput. 4, 4, 327-354.
-
(1989)
J. Sci. Comput
, vol.4
, Issue.4
, pp. 327-354
-
-
FRIESNER, R.A.1
TUCKERMAN, L.S.2
DORNBLASER, B.C.3
RUSSO, T.V.4
-
12
-
-
0000269389
-
Efficient solution of parabolic equations by Krylov approximation methods
-
GALLOPOULOS, E. AND SAAD, Y 1992. Efficient solution of parabolic equations by Krylov approximation methods. SIAM J. Sci. Statist. Comput. 13, 1236-1264.
-
(1992)
SIAM J. Sci. Statist. Comput
, vol.13
, pp. 1236-1264
-
-
GALLOPOULOS, E.1
SAAD, Y.2
-
13
-
-
0036457301
-
-
2nd ed. Society for Industrial and Applied Mathematics SIAM, Philadelphia, PA
-
HIGHAM, N. J. 2002. Accuracy and stability of numerical algorithms, 2nd ed. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
-
(2002)
Accuracy and stability of numerical algorithms
-
-
HIGHAM, N.J.1
-
14
-
-
0347799731
-
On Krylov subspace approximations to the matrix exponential operator
-
HOCHBRUCK, M. AND LUBICH, C. 1997. On Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal. 34, 5, 1911-1925.
-
(1997)
SIAM J. Numer. Anal
, vol.34
, Issue.5
, pp. 1911-1925
-
-
HOCHBRUCK, M.1
LUBICH, C.2
-
15
-
-
0002279610
-
Exponential integrators for large systems of differential equations
-
HOCHBRUCK, M., LUBICH, C., AND SELHOFER, H. 1998. Exponential integrators for large systems of differential equations. SIAM J. Sci. Comput. 19, 5, 1552-1574.
-
(1998)
SIAM J. Sci. Comput
, vol.19
, Issue.5
, pp. 1552-1574
-
-
HOCHBRUCK, M.1
LUBICH, C.2
SELHOFER, H.3
-
16
-
-
33646264630
-
Explicit exponential Runge-Kutta methods for semi-linear parabolic problems
-
HOCHBRUCK, M. AND OSTERMANN, A. 2005. Explicit exponential Runge-Kutta methods for semi-linear parabolic problems. SIAM J. Numer. Anal. 43, 3, 1069-1090.
-
(2005)
SIAM J. Numer. Anal
, vol.43
, Issue.3
, pp. 1069-1090
-
-
HOCHBRUCK, M.1
OSTERMANN, A.2
-
17
-
-
85140870992
-
-
KASSAM, A.-K. AND TREFETHEN, L. N. 2005. Fourth-order time-stepping for stiff PDEs. SIAM J. Sci. Comput. 26, 4, 1214-1233 (electronic).
-
KASSAM, A.-K. AND TREFETHEN, L. N. 2005. Fourth-order time-stepping for stiff PDEs. SIAM J. Sci. Comput. 26, 4, 1214-1233 (electronic).
-
-
-
-
18
-
-
10844237437
-
Generalized integrating factor methods for stiff PDEs
-
KROGSTAD, S. 2005. Generalized integrating factor methods for stiff PDEs. J. Comp. Phys. 203, 1, 72-88.
-
(2005)
J. Comp. Phys
, vol.203
, Issue.1
, pp. 72-88
-
-
KROGSTAD, S.1
-
19
-
-
0001202958
-
Generalized Runge-Kutta processes for stable systems with large Lipschitz constants
-
LAWSON, J. D. 1967. Generalized Runge-Kutta processes for stable systems with large Lipschitz constants. SIAM J. Numer. Anal. 4, 372-380.
-
(1967)
SIAM J. Numer. Anal
, vol.4
, pp. 372-380
-
-
LAWSON, J.D.1
-
20
-
-
0242458409
-
Computing a matrix function for exponential integrators
-
LU, Y. Y. 2003. Computing a matrix function for exponential integrators. J. Comput. Appl. Math 161, 1, 203-216.
-
(2003)
J. Comput. Appl. Math
, vol.161
, Issue.1
, pp. 203-216
-
-
LU, Y.Y.1
-
21
-
-
33747159634
-
A review of exponential integrators for semilinear problems
-
Tech. rep. 2/05. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway. Available online at
-
MINCHEV, B. AND WRIGHT, W. M. 2005. A review of exponential integrators for semilinear problems. Tech. rep. 2/05. Department of Mathematical Sciences, Norwegian University of Science and Technology, Trondheim, Norway. Available online at http://www.math.ntnu.no/preprint/.
-
(2005)
-
-
MINCHEV, B.1
WRIGHT, W.M.2
-
22
-
-
0037354371
-
-
MOLER, C. B. AND VAN LOAN, C. F. 2003. Nineteen dubious ways to compute the exponential of a matrix, twenty five years later. SIAM Review 45, 1, 3-49.
-
MOLER, C. B. AND VAN LOAN, C. F. 2003. Nineteen dubious ways to compute the exponential of a matrix, twenty five years later. SIAM Review 45, 1, 3-49.
-
-
-
-
23
-
-
0032739660
-
-
MUNTHE-KAAS, H. 1999. High order Runge-Kutta methods on manifolds. In Proceedings of the NSF/CBMS Regional Conference on Numerical Analysis of Hamiltonian Differential Equations (Golden, CO, 1997). Appl. Numer. Math. 29, 1, 115-127.
-
MUNTHE-KAAS, H. 1999. High order Runge-Kutta methods on manifolds. In Proceedings of the NSF/CBMS Regional Conference on Numerical Analysis of Hamiltonian Differential Equations (Golden, CO, 1997). Appl. Numer. Math. 29, 1, 115-127.
-
-
-
-
24
-
-
0346196616
-
An A-stable modification of the Adams-Bashforth methods
-
Springer, Berlin, Germany
-
NØRSETT, S. P. 1969. An A-stable modification of the Adams-Bashforth methods. In Conference on Numerical Solution of Differential Equations (Dundee, Scotland, 1969). Springer, Berlin, Germany, 214-219.
-
(1969)
Conference on Numerical Solution of Differential Equations (Dundee, Scotland, 1969)
, pp. 214-219
-
-
NØRSETT, S.P.1
-
25
-
-
33745319450
-
A class of explicit exponential general linear methods
-
OSTEHMANN, A., THALHAMMER, M., AND WRIGHT, W. M. 2006. A class of explicit exponential general linear methods. BIT 46, 409-431.
-
(2006)
BIT 46
, pp. 409-431
-
-
OSTEHMANN, A.1
THALHAMMER, M.2
WRIGHT, W.M.3
-
26
-
-
84966222159
-
Krylov subspace methods for solving large unsymmetric linear systems
-
SAAD, Y. 1981. Krylov subspace methods for solving large unsymmetric linear systems. Math. Comp. 37, 105-126.
-
(1981)
Math. Comp
, vol.37
, pp. 105-126
-
-
SAAD, Y.1
-
27
-
-
33947709011
-
The scaling and modified squaring method for functions related to the exponential. appl
-
Submitted
-
SKAFLESTAD, B. AND WRIGHT, W. M. 2006. The scaling and modified squaring method for functions related to the exponential. appl. Numer. Math. Submitted.
-
(2006)
Numer. Math
-
-
SKAFLESTAD, B.1
WRIGHT, W.M.2
-
28
-
-
0020269426
-
Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden
-
STREHMEL, K. AND WEINER, R. 1982. Behandlung steifer Anfangswertprobleme gewöhnlicher Differentialgleichungen mit adaptiven Runge-Kutta-Methoden. Computing 29, 2, 153-165.
-
(1982)
Computing
, vol.29
, Issue.2
, pp. 153-165
-
-
STREHMEL, K.1
WEINER, R.2
-
29
-
-
0023173609
-
B-convergence results for linearly implicit one step methods
-
STREHMEL, K. AND WEINER, R. 1987. B-convergence results for linearly implicit one step methods. BIT 27, 264-281.
-
(1987)
BIT 27
, pp. 264-281
-
-
STREHMEL, K.1
WEINER, R.2
-
30
-
-
33947612168
-
Construction of Integration Formulas for Initial Value Problems
-
North-Holland, Amsterdam, The Netherlands
-
VAN DER HOUWEN, P. J. 1977. Construction of Integration Formulas for Initial Value Problems. North-Holland Series in Applied Mathematics and Mechanics, Vol. 19. North-Holland, Amsterdam, The Netherlands.
-
(1977)
North-Holland Series in Applied Mathematics and Mechanics
, vol.19
-
-
VAN DER HOUWEN, P.J.1
|