-
1
-
-
0012644530
-
The computation of characteristic exponents in the planar restricted problem of three bodies
-
Deprit A., Price J.F. The computation of characteristic exponents in the planar restricted problem of three bodies. Astron. J. 70:1965;836-846
-
(1965)
Astron. J.
, vol.70
, pp. 836-846
-
-
Deprit, A.1
Price, J.F.2
-
2
-
-
0012652435
-
Numerical integration of an orbit and its concomitant variations by recurrent power series
-
Deprit A., Zahar R.V.M. Numerical integration of an orbit and its concomitant variations by recurrent power series. Z. Angew. Math. Phys. 17:1966;425-430
-
(1966)
Z. Angew. Math. Phys.
, vol.17
, pp. 425-430
-
-
Deprit, A.1
Zahar, R.V.M.2
-
3
-
-
0043269015
-
Studies in the application of recurrence relations to special perturbation methods I
-
Roy A.E., Moran P.E., Black W. Studies in the application of recurrence relations to special perturbation methods I. Celestial Mech. 6:1972;468-482
-
(1972)
Celestial Mech.
, vol.6
, pp. 468-482
-
-
Roy, A.E.1
Moran, P.E.2
Black, W.3
-
4
-
-
0346535425
-
On the differential equations of Hill in the theory of the motion of the Moon II
-
Steffensen J.F. On the differential equations of Hill in the theory of the motion of the Moon II. Acta Math. 95:1956;25-37
-
(1956)
Acta Math.
, vol.95
, pp. 25-37
-
-
Steffensen, J.F.1
-
6
-
-
0040763312
-
ATOMFT: Solving ODEs and DAEs using Taylor series
-
Chang Y.F., Corliss G.F. ATOMFT: solving ODEs and DAEs using Taylor series. Comput. Math. Appl. 28:1994;209-233
-
(1994)
Comput. Math. Appl.
, vol.28
, pp. 209-233
-
-
Chang, Y.F.1
Corliss, G.F.2
-
7
-
-
0020143282
-
Solving ordinary differential equations using Taylor series
-
Corliss G.F., Chang Y.F. Solving ordinary differential equations using Taylor series. ACM Trans. Math. Software. 8:1982;114-144
-
(1982)
ACM Trans. Math. Software
, vol.8
, pp. 114-144
-
-
Corliss, G.F.1
Chang, Y.F.2
-
8
-
-
0004798808
-
High-order stiff ODE solvers via automatic differentiation and rational prediction
-
Berlin: Springer
-
Corliss G.F., Griewank A., Henneberger P., Kirlinger G., Potra F.A., Stetter H.J. High-order stiff ODE solvers via automatic differentiation and rational prediction. Numerical Analysis and its Applications (Rousse, 1996). Lecture Notes in Comput. Sci. vol. 1196:1997;114-125 Springer, Berlin
-
(1997)
Numerical Analysis and Its Applications (Rousse, 1996) Lecture Notes in Comput. Sci.
, vol.1196
, pp. 114-125
-
-
Corliss, G.F.1
Griewank, A.2
Henneberger, P.3
Kirlinger, G.4
Potra, F.A.5
Stetter, H.J.6
-
10
-
-
0032262788
-
Solving high-index DAEs by Taylor series
-
Pryce J.D. Solving high-index DAEs by Taylor series. Numer. Algor. 19:1998;195-211
-
(1998)
Numer. Algor.
, vol.19
, pp. 195-211
-
-
Pryce, J.D.1
-
11
-
-
0041331524
-
A simple structural analysis method for DAEs
-
Pryce J.D A simple structural analysis method for DAEs. BIT. 41:2001;364-394
-
(2001)
BIT
, vol.41
, pp. 364-394
-
-
Pryce, J.D.1
-
13
-
-
0034967327
-
Computing periodic orbits and their bifurcations with automatic differentiation
-
Guckenheimer J., Meloon B. Computing periodic orbits and their bifurcations with automatic differentiation. SIAM J. Sci. Comput. 22:2000;951-985
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, pp. 951-985
-
-
Guckenheimer, J.1
Meloon, B.2
-
14
-
-
34249758478
-
Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory
-
Lara M., Deprit A., Elipe A. Numerical continuation of families of frozen orbits in the zonal problem of artificial satellite theory. Celestial Mech. Dynam. Astronom. 62:1995;167-181
-
(1995)
Celestial Mech. Dynam. Astronom.
, vol.62
, pp. 167-181
-
-
Lara, M.1
Deprit, A.2
Elipe, A.3
-
15
-
-
0002265766
-
Validated solutions of initial value problems for ordinary differential equations
-
Nedialkov N.S., Jackson K.R., Corliss G.F. Validated solutions of initial value problems for ordinary differential equations. Appl. Math. Comput. 105:1999;21-68
-
(1999)
Appl. Math. Comput.
, vol.105
, pp. 21-68
-
-
Nedialkov, N.S.1
Jackson, K.R.2
Corliss, G.F.3
-
16
-
-
0037245264
-
Computing validated solutions of implicit differential equations
-
Hoefkens J., Berz M., Makino K. Computing validated solutions of implicit differential equations. Adv. Comput. Math. 19:2003;231-253
-
(2003)
Adv. Comput. Math.
, vol.19
, pp. 231-253
-
-
Hoefkens, J.1
Berz, M.2
Makino, K.3
-
17
-
-
0002061016
-
A rigorous ODE solver and Smale's 14th problem
-
Tucker W. A rigorous ODE solver and Smale's 14th problem. Found. Comput. Math. 2:2002;53-117
-
(2002)
Found. Comput. Math.
, vol.2
, pp. 53-117
-
-
Tucker, W.1
-
19
-
-
0003230635
-
Automatic Differentiation: Techniques and Applications
-
Berlin: Springer-Verlag
-
Rall L.B. Automatic Differentiation: Techniques and Applications. Lecture Notes in Computer Science. vol. 120:1981;Springer-Verlag, Berlin
-
(1981)
Lecture Notes in Computer Science
, vol.120
-
-
Rall, L.B.1
-
20
-
-
13544257846
-
A software package for the numerical integration of ODE by means of high-order Taylor methods
-
Department of Mathematics, University of Texas, TX, 78712-1082
-
A. Jorba, M. Zou, A software package for the numerical integration of ODE by means of high-order Taylor methods, Technical Report, Department of Mathematics, University of Texas, TX, 78712-1082 (2001)
-
(2001)
Technical Report
-
-
Jorba, A.1
Zou, M.2
-
21
-
-
0012732864
-
Automatic programming of recurrent power series
-
Lara M., Elipe A., Palacios M. Automatic programming of recurrent power series. Math. Comput. Simul. 49:1999;351-362
-
(1999)
Math. Comput. Simul.
, vol.49
, pp. 351-362
-
-
Lara, M.1
Elipe, A.2
Palacios, M.3
-
23
-
-
0004293209
-
-
Englewood Cliffs, NJ: Prentice-Hall
-
Moore R.A. Interval Analysis. 1966;Prentice-Hall, Englewood Cliffs, NJ
-
(1966)
Interval Analysis
-
-
Moore, R.A.1
-
24
-
-
0003589989
-
Solving Ordinary Differential Equations II, Stiff and Different Algebraic Problems
-
New York: Springer-Verlag
-
Hairer E., Wanner G. Solving Ordinary Differential Equations II, Stiff and Different Algebraic Problems. Springer Ser. Comput. Math. vol. 14:1991;Springer-Verlag, New York
-
(1991)
Springer Ser. Comput. Math.
, vol.14
-
-
Hairer, E.1
Wanner, G.2
-
25
-
-
0019054174
-
On Taylor series and stiff equations
-
Barton D. On Taylor series and stiff equations. ACM Trans. Math. Software. 6:1980;280-294
-
(1980)
ACM Trans. Math. Software
, vol.6
, pp. 280-294
-
-
Barton, D.1
-
28
-
-
0001768878
-
On the prevalence of aperiodicity in simple systems
-
M. Grmela, J.E. Marsden (Eds.), Global Analysis (Calgary 1978)
-
E.N. Lorentz, On the prevalence of aperiodicity in simple systems, in: M. Grmela, J.E. Marsden (Eds.), Global Analysis (Calgary 1978), Lecture Notes in Mathematics, vol. 755, 1979, pp. 53-75
-
(1979)
Lecture Notes in Mathematics
, vol.755
, pp. 53-75
-
-
Lorentz, E.N.1
-
29
-
-
0003259286
-
Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations
-
Philadelphia: SIAM
-
Brenan K.E., Campbell S.L., Petzold L.R. Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations. Classics in Applied Mathematics. vol. 14:1996;SIAM, Philadelphia
-
(1996)
Classics in Applied Mathematics
, vol.14
-
-
Brenan, K.E.1
Campbell, S.L.2
Petzold, L.R.3
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