-
1
-
-
0023366337
-
Explicit Runge-Kutta(-Nyström) methods with reduced phase errors for computing oscillating solution
-
P.J. Van der Houwen, and B.P. Sommeijer Explicit Runge-Kutta(- Nyström) methods with reduced phase errors for computing oscillating solution SIAM J. Numer. Anal. 24 1987 595 617
-
(1987)
SIAM J. Numer. Anal.
, vol.24
, pp. 595-617
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
3
-
-
0000688555
-
Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems
-
P.J. Van der Houwen, and B.P. Sommeijer Diagonally implicit Runge-Kutta-Nyström methods for oscillatory problems SIAM J. Numer. Anal. 26 1989 414 429
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 414-429
-
-
Van Der Houwen, P.J.1
Sommeijer, B.P.2
-
4
-
-
0034509539
-
A phase-fitted collocation-based Runge-Kutta(-Nyström) method
-
B. Paternoster A phase-fitted collocation-based Runge-Kutta(- Nyström) method Appl. Numer. Math. 35 2000 339 355
-
(2000)
Appl. Numer. Math.
, vol.35
, pp. 339-355
-
-
Paternoster, B.1
-
5
-
-
0001499606
-
A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems
-
T.E. Simos, E. Dimas, and A.B. Sideridis A Runge-Kutta-Nyström method for the numerical integration of special second-order periodic initial-value problems J. Comput. Appl. Math. 51 1994 317 326
-
(1994)
J. Comput. Appl. Math.
, vol.51
, pp. 317-326
-
-
Simos, T.E.1
Dimas, E.2
Sideridis, A.B.3
-
6
-
-
0013397128
-
A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions
-
T.E. Simos A modified Runge-Kutta method for the numerical solution of ODE's with oscillation solutions Appl. Math. Lett. 6 1996 61 66
-
(1996)
Appl. Math. Lett.
, vol.6
, pp. 61-66
-
-
Simos, T.E.1
-
7
-
-
0034549225
-
A modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems
-
T.E. Simos, and J.V. Aguiar A modified Runge-Kutta-Nyström method with phase-lag of order infinity for the numerical solution of the Schrödinger equation and related problems Int. J. Mod. Phys. C 11 2000 1195 1208
-
(2000)
Int. J. Mod. Phys. C
, vol.11
, pp. 1195-1208
-
-
Simos, T.E.1
Aguiar, J.V.2
-
8
-
-
0040531663
-
A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators
-
A.B. González, P. Martín, and J.M. Farto A new family of Runge-Kutta type methods for the numerical integration of perturbed oscillators Numer. Math. 82 1999 635 646
-
(1999)
Numer. Math.
, vol.82
, pp. 635-646
-
-
González, A.B.1
Martín, P.2
Farto, J.M.3
-
9
-
-
0036679951
-
New methods for oscillatory problems based on classical codes
-
A. García, P. Martín, and A.B. González New methods for oscillatory problems based on classical codes Appl. Numer. Math. 42 2002 141 157
-
(2002)
Appl. Numer. Math.
, vol.42
, pp. 141-157
-
-
García, A.1
Martín, P.2
González, A.B.3
-
10
-
-
0036719933
-
Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators
-
J.M. Franco Runge-Kutta-Nyström methods adapted to the numerical integration of perturbed oscillators Comput. Phys. Comm. 147 2002 770 787
-
(2002)
Comput. Phys. Comm.
, vol.147
, pp. 770-787
-
-
Franco, J.M.1
-
11
-
-
15244364138
-
Embedded pairs of explicit ARKN methods for the numerical integration of perturbed oscillators
-
J.M. Franco Embedded pairs of explicit ARKN methods for the numerical integration of perturbed oscillators J. Comput. Methods Sci. Engrg. 3 2003 415 424
-
(2003)
J. Comput. Methods Sci. Engrg.
, vol.3
, pp. 415-424
-
-
Franco, J.M.1
-
12
-
-
0242624843
-
A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators
-
J.M. Franco A 5(3) pair of explicit ARKN methods for the numerical integration of perturbed oscillators J. Comput. Appl. Math. 161 2003 283 293
-
(2003)
J. Comput. Appl. Math.
, vol.161
, pp. 283-293
-
-
Franco, J.M.1
-
13
-
-
0037109217
-
Optimized Runge-Kutta pairs for problems with oscillating solutions
-
Ch. Tsitouras, and T.E. Simos Optimized Runge-Kutta pairs for problems with oscillating solutions J. Comput. Appl. Math. 147 2002 397 409
-
(2002)
J. Comput. Appl. Math.
, vol.147
, pp. 397-409
-
-
Tsitouras, Ch.1
Simos, T.E.2
-
14
-
-
7244234215
-
Special optimized Runge-Kutta methods for IVP's with oscillating solutions
-
Z.A. Anastassi, and T.E. Simos Special optimized Runge-Kutta methods for IVP's with oscillating solutions Int. J. Mod. Phys. C 15 2004 1 15
-
(2004)
Int. J. Mod. Phys. C
, vol.15
, pp. 1-15
-
-
Anastassi, Z.A.1
Simos, T.E.2
-
15
-
-
0032300656
-
An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions
-
T.E. Simos An exponentially-fitted Runge-Kutta method for the numerical integration of initial-value problems with periodic or oscillating solutions Comput. Phys. Comm. 115 1998 1 8
-
(1998)
Comput. Phys. Comm.
, vol.115
, pp. 1-8
-
-
Simos, T.E.1
-
16
-
-
0032183736
-
Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials
-
B. Paternoster Runge-Kutta(-Nyström) methods for ODEs with periodic solutions based in trigonometric polynomials Appl. Numer. Math. 28 1998 401 412
-
(1998)
Appl. Numer. Math.
, vol.28
, pp. 401-412
-
-
Paternoster, B.1
-
18
-
-
0034512338
-
Mixed collocation methods for y ″ = f (x, y)
-
J.P. Coleman, and S.C. Duxbury Mixed collocation methods for y ″ = f (x, y) J. Comput. Appl. Math. 126 2000 47 75
-
(2000)
J. Comput. Appl. Math.
, vol.126
, pp. 47-75
-
-
Coleman, J.P.1
Duxbury, S.C.2
-
19
-
-
31244436593
-
Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions
-
T.E. Simos Exponentially-fitted Runge-Kutta-Nyström method for the numerical solution of initial-value problems with oscillating solutions Appl. Math. Lett. 15 2002 217 225
-
(2002)
Appl. Math. Lett.
, vol.15
, pp. 217-225
-
-
Simos, T.E.1
-
20
-
-
2342445011
-
Exponentially fitted explicit Runge-Kutta-Nyström methods
-
J.M. Franco Exponentially fitted explicit Runge-Kutta-Nyström methods J. Comput. Appl. Math. 167 2004 1 19
-
(2004)
J. Comput. Appl. Math.
, vol.167
, pp. 1-19
-
-
Franco, J.M.1
-
23
-
-
84968517891
-
Local error estimation in the solution of ordinary differential equations
-
L.F. Shampine Local error estimation in the solution of ordinary differential equations Math. Comp. 27 1973 91 97
-
(1973)
Math. Comp.
, vol.27
, pp. 91-97
-
-
Shampine, L.F.1
-
24
-
-
0021860254
-
Local error estimation by doubling
-
L.F. Shampine Local error estimation by doubling Computing 34 1985 179 190
-
(1985)
Computing
, vol.34
, pp. 179-190
-
-
Shampine, L.F.1
-
25
-
-
84966237458
-
Some practical Runge-Kutta formulas
-
L.F. Shampine Some practical Runge-Kutta formulas Math. Comp. 46 1986 135 150
-
(1986)
Math. Comp.
, vol.46
, pp. 135-150
-
-
Shampine, L.F.1
-
26
-
-
33645269140
-
Stabilization of Cowell's method
-
E. Stiefel, and D.G. Bettis Stabilization of Cowell's method Numer. Math 13 1969 154 175
-
(1969)
Numer. Math
, vol.13
, pp. 154-175
-
-
Stiefel, E.1
Bettis, D.G.2
-
28
-
-
0001418178
-
Stabilization of Cowell's classical finite difference methods for numerical integration
-
R. Van Dooren Stabilization of Cowell's classical finite difference methods for numerical integration J. Comput. Phys. 16 1974 186 192
-
(1974)
J. Comput. Phys.
, vol.16
, pp. 186-192
-
-
Van Dooren, R.1
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