-
3
-
-
0000784612
-
Symmetry algebras of third-order ordinary differential equations
-
O. Gat, Symmetry algebras of third-order ordinary differential equations, J. Math. Phys., 33 (1992), pp. 2966-2971.
-
(1992)
J. Math. Phys.
, vol.33
, pp. 2966-2971
-
-
Gat, O.1
-
4
-
-
3042556436
-
Group analysis of ordinary differential equations of the order of n>2
-
L. M. Berkovich and S. Y. Popov, Group analysis of ordinary differential equations of the order of n>2, Sym. Nonlin. Math. Phys., 1 (1997), pp. 164-171.
-
(1997)
Sym. Nonlin. Math. Phys.
, vol.1
, pp. 164-171
-
-
Berkovich, L.M.1
Popov, S.Y.2
-
5
-
-
0036003399
-
Lie symmetries and differential Galois groups of linear equations
-
W. R. Oudshoorn and M. Van Der Put, Lie symmetries and differential Galois groups of linear equations, Math. Comp., 71 (2001), pp. 349-361.
-
(2001)
Math. Comp.
, vol.71
, pp. 349-361
-
-
Oudshoorn, W.R.1
Van Der Put, M.2
-
6
-
-
0000094051
-
The method of an exact linearization of n-order ordinary differential equations
-
L. M. Berkovich, The method of an exact linearization of n-order ordinary differential equations, J. Nonlin. Math. Phys., 3 (1996), pp. 341-350.
-
(1996)
J. Nonlin. Math. Phys.
, vol.3
, pp. 341-350
-
-
Berkovich, L.M.1
-
7
-
-
0035895859
-
Solutions of ordinary differential equations via nonlocal transformations
-
R. M. Edelstein, K. S. Govinder and F. M. Mahomed, Solutions of ordinary differential equations via nonlocal transformations, J. Phys. A: Math. Gen., 34 (2001), pp. 1141-1152.
-
(2001)
J. Phys. A: Math. Gen.
, vol.34
, pp. 1141-1152
-
-
Edelstein, R.M.1
Govinder, K.S.2
Mahomed, F.M.3
-
8
-
-
3042600279
-
Transformations of ordinary differential equations: Local and nonlocal symmetries
-
L. M. Berkovich, Transformations of ordinary differential equations: local and nonlocal symmetries, Proc. Inst. Math. NAS Ukraine, 30 (2000), pp. 25-34.
-
(2000)
Proc. Inst. Math. NAS Ukraine
, vol.30
, pp. 25-34
-
-
Berkovich, L.M.1
-
9
-
-
0036047189
-
Solutions of linear ordinary differential equations in terms of special functions
-
ACM Press, Lille
-
M. Bronstein and S. Lafaille, Solutions of linear ordinary differential equations in terms of special functions, in Proceedings of ISSAC'2002, ACM Press, Lille, 2002, pp. 23-28.
-
(2002)
Proceedings of ISSAC'2002
, pp. 23-28
-
-
Bronstein, M.1
Lafaille, S.2
-
10
-
-
0010762569
-
Efficient solution of differential equations by analytic continuation
-
A. Holubec and A. D. Stauffer, Efficient solution of differential equations by analytic continuation, J. Phys. A: Math. Gen., 18 (1985), pp. 2141-2149.
-
(1985)
J. Phys. A: Math. Gen
, vol.18
, pp. 2141-2149
-
-
Holubec, A.1
Stauffer, A.D.2
-
11
-
-
0030375661
-
An efficient spectral method for ordinary differential equations with rational function coefficients
-
E. A. Coutsias, T. Hagstorm and D. Torres, An efficient spectral method for ordinary differential equations with rational function coefficients, Math. Comp., 65 (1996), pp. 611-635.
-
(1996)
Math. Comp.
, vol.65
, pp. 611-635
-
-
Coutsias, E.A.1
Hagstorm, T.2
Torres, D.3
-
12
-
-
0037058281
-
A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution
-
E. Babolian and M. M. Hosseini, A modified spectral method for numerical solution of ordinary differential equations with non-analytic solution, Appl. Math. Comp., 132 (2002), pp. 341-351.
-
(2002)
Appl. Math. Comp.
, vol.132
, pp. 341-351
-
-
Babolian, E.1
Hosseini, M.M.2
-
13
-
-
0035418246
-
Orthogonal polynomial solutions of linear ordinary differential equations
-
W. N. Everitt, K. H. Kwon, L. L. Littlejohn and R. Wellman, Orthogonal polynomial solutions of linear ordinary differential equations, J. Comp. Appl. Math., 133 (2001), pp. 85-109.
-
(2001)
J. Comp. Appl. Math.
, vol.133
, pp. 85-109
-
-
Everitt, W.N.1
Kwon, K.H.2
Littlejohn, L.L.3
Wellman, R.4
-
16
-
-
3042695487
-
Analytic solution of n-th order differential equations at a singular point
-
B. Haile, Analytic solution of n-th order differential equations at a singular point, Elec. J. Diff. Eq., 2002 (2002), pp. 1-14.
-
(2002)
Elec. J. Diff. Eq.
, vol.2002
, pp. 1-14
-
-
Haile, B.1
-
18
-
-
0036984039
-
Analytical solution of wave equation for arbitrary non-homogeneous media
-
S. Khorasani and K. Mehrany, Analytical solution of wave equation for arbitrary non-homogeneous media, Proc. SPIE, 4772 (2002), pp. 25-36.
-
(2002)
Proc. SPIE
, vol.4772
, pp. 25-36
-
-
Khorasani, S.1
Mehrany, K.2
-
19
-
-
0013127671
-
Differential transfer matrix method for solution of one-dimensional linear non-homogeneous optical structures
-
S. Khorasani and K. Mehrany, Differential transfer matrix method for solution of one-dimensional linear non-homogeneous optical structures, J. Opt. Soc. Am. B, 20 (2003), pp. 91-96.
-
(2003)
J. Opt. Soc. Am. B
, vol.20
, pp. 91-96
-
-
Khorasani, S.1
Mehrany, K.2
-
22
-
-
0036863807
-
Analytical solution of non-homogeneous anisotropic wave equation based on differential transfer matrices
-
K. Mehrany and S. Khorasani, Analytical solution of non-homogeneous anisotropic wave equation based on differential transfer matrices, J. Opt. A: Pure Appl. Opt., 4 (2002), pp. 524-635.
-
(2002)
J. Opt. A: Pure Appl. Opt.
, vol.4
, pp. 524-635
-
-
Mehrany, K.1
Khorasani, S.2
-
23
-
-
0039094325
-
Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order
-
D. Sarafyan, Approximate solution of ordinary differential equations and their systems through discrete and continuous embedded Runge-Kutta formulae and upgrading of their order, Comp. Math. Appl., 28 (1992), pp. 353-384.
-
(1992)
Comp. Math. Appl.
, vol.28
, pp. 353-384
-
-
Sarafyan, D.1
-
24
-
-
0034501872
-
Numerical methods for ordinary differential equations in the 20th century
-
J. C. Butcher, Numerical methods for ordinary differential equations in the 20th century, J. Comp. Appl. Math., 125 (2000), pp. 1-29.
-
(2000)
J. Comp. Appl. Math.
, vol.125
, pp. 1-29
-
-
Butcher, J.C.1
-
25
-
-
0039378243
-
Composition constants for rising the orders of unconventional schemes for ordinary differential equations
-
W. Kahan and R. Li, Composition constants for rising the orders of unconventional schemes for ordinary differential equations, Math. Comp., 66 (1997), pp. 1089-1099.
-
(1997)
Math. Comp.
, vol.66
, pp. 1089-1099
-
-
Kahan, W.1
Li, R.2
-
28
-
-
23544476063
-
-
Blaisdell, Waltham
-
T. Apostol, Calculus, 2nd ed., Blaisdell, Waltham, 1969, vol. 2, p. 161.
-
(1969)
Calculus, 2nd Ed.
, vol.2
, pp. 161
-
-
Apostol, T.1
-
31
-
-
0037441724
-
New analytical approach for computation of band structure in one-dimensional periodic media
-
S. Khorasani and A. Adibi, New analytical approach for computation of band structure in one-dimensional periodic media, Opt. Commun., 216 (2003), pp. 439-451.
-
(2003)
Opt. Commun.
, vol.216
, pp. 439-451
-
-
Khorasani, S.1
Adibi, A.2
-
32
-
-
0003742389
-
-
John Wiley & Sons, Chichester
-
J. R. Mangus, and H. Neudecker, Matrix Differential Calculus with Applications in Statistics and Econometrics, John Wiley & Sons, Chichester, 1988, p. 151.
-
(1988)
Matrix Differential Calculus with Applications in Statistics and Econometrics
, pp. 151
-
-
Mangus, J.R.1
Neudecker, H.2
-
33
-
-
36149021943
-
The S matrix in quantum electrodynamics
-
F. J. Dyson, The S matrix in quantum electrodynamics, Phys. Rev., 75 (1949) pp. 1736-1755.
-
(1949)
Phys. Rev.
, vol.75
, pp. 1736-1755
-
-
Dyson, F.J.1
-
36
-
-
0042807421
-
Reply to 'Comment on "Analytical solution of non-homogeneous anisotropic wave equation based on differential transfer matrices"'
-
S. Khorasani, Reply to 'Comment on "Analytical solution of non-homogeneous anisotropic wave equation based on differential transfer matrices"', J. Opt. A: Pure Appl. Opt., 5 (2003), pp. 434-435.
-
(2003)
J. Opt. A: Pure Appl. Opt.
, vol.5
, pp. 434-435
-
-
Khorasani, S.1
-
37
-
-
29244459709
-
New Matrix Method for Analytical Solution of Linear Ordinary Differential Equations
-
Dynamic Publishers, Atlanta
-
S. Khorasani and A. Adibi, New Matrix Method for Analytical Solution of Linear Ordinary Differential Equations, to be published in Proc. 4th Dynamic Systems and Applications, Dynamic Publishers, Atlanta, 2003.
-
(2003)
Proc. 4th Dynamic Systems and Applications
-
-
Khorasani, S.1
Adibi, A.2
-
38
-
-
0010712610
-
On matrix functions which commute with their derivative
-
J.-C. Evard, On matrix functions which commute with their derivative, Linear Algebra Appl., 68 (1985), pp. 145-178.
-
(1985)
Linear Algebra Appl.
, vol.68
, pp. 145-178
-
-
Evard, J.-C.1
-
39
-
-
29244457623
-
Invariance and commutativity properties of some classes of solutions of the matrix differential equation X(t)X′(t) = X′(t)X(t)
-
J.-C. Evard, Invariance and commutativity properties of some classes of solutions of the matrix differential equation X(t)X′(t) = X′(t)X(t), Linear Algebra Appl., 218 (1995), pp. 89-102.
-
(1995)
Linear Algebra Appl.
, vol.218
, pp. 89-102
-
-
Evard, J.-C.1
-
41
-
-
3042649506
-
-
Marcel Dekker, New York
-
J. Cornin, Differential Equations, 2nd ed., Marcel Dekker, New York, 1994, p. 73.
-
(1994)
Differential Equations, 2nd Ed.
, pp. 73
-
-
Cornin, J.1
-
42
-
-
0036851551
-
Linear Differential operators for polynomial equations
-
O. Cormier, M. F. Singer, B. M. Trager, and F. Ulmer, Linear differential operators for polynomial equations, J. Sym. Comp., 34 (2002) pp. 355-398.
-
(2002)
J. Sym. Comp.
, vol.34
, pp. 355-398
-
-
Cormier, O.1
Singer, M.F.2
Trager, B.M.3
Ulmer, F.4
-
43
-
-
0030127710
-
Inversion of the Van der Monde matrix
-
V. Neagoe, Inversion of the Van der Monde matrix, IEEE Sig. Proc. Lett., 3 (1996), pp. 119-120.
-
(1996)
IEEE Sig. Proc. Lett.
, vol.3
, pp. 119-120
-
-
Neagoe, V.1
-
44
-
-
0001310478
-
Mémoire sur les équations differentieles linéaire de second ordre
-
J. C. F. Sturm, Mémoire sur les équations differentieles linéaire de second ordre, J. Math. Pures Appl., 1 (1836), pp. 106-186.
-
(1836)
J. Math. Pures Appl.
, vol.1
, pp. 106-186
-
-
Sturm, J.C.F.1
-
46
-
-
0004252438
-
-
Springer-Verlag, New York
-
W. Coppel, Disconjugacy, Springer-Verlag, New York, 1971.
-
(1971)
Disconjugacy
-
-
Coppel, W.1
-
48
-
-
3042603093
-
On second order linear differential systems
-
edited by Z. Deng, Z. Liang, G. Lu and S. Ruan, Marcel Dekker, New York
-
Z. Deng, and S. Ruan, On second order linear differential systems, in Differential Equations and Control Theory, edited by Z. Deng, Z. Liang, G. Lu and S. Ruan, Marcel Dekker, New York, 1996, p. 21.
-
Differential Equations and Control Theory
, vol.1996
, pp. 21
-
-
Deng, Z.1
Ruan, S.2
-
49
-
-
0002309040
-
Positive solutions for higher order ordinary differential equations
-
P. W. Eloe and J. Henderson, Positive solutions for higher order ordinary differential equations, Elec. J. Diff. Eq., 1995 (1995), pp. 1-8.
-
(1995)
Elec. J. Diff. Eq.
, vol.1995
, pp. 1-8
-
-
Eloe, P.W.1
Henderson, J.2
-
50
-
-
0036662523
-
On the number of zeros of nonoscillatory solutions to higher-order linear ordinary differential equations
-
M. Naito, On the number of zeros of nonoscillatory solutions to higher-order linear ordinary differential equations, Monatsh. Math., 136 (2002), pp. 237-242.
-
(2002)
Monatsh. Math.
, vol.136
, pp. 237-242
-
-
Naito, M.1
-
51
-
-
33646608955
-
Stability of a Schwarzschild singularity
-
T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev., 108 (1957) pp. 1063-1069.
-
(1957)
Phys. Rev.
, vol.108
, pp. 1063-1069
-
-
Regge, T.1
Wheeler, J.A.2
-
52
-
-
0030508013
-
Analytic solutions of the Regge-Wheeler equation and the post-Minkowskian expansion
-
S. Mano, H. Suzuki, and E. Takasugi, Analytic solutions of the Regge-Wheeler equation and the post-Minkowskian expansion, Prog. Theor. Phys., 96 (1996) pp. 549-565.
-
(1996)
Prog. Theor. Phys.
, vol.96
, pp. 549-565
-
-
Mano, S.1
Suzuki, H.2
Takasugi, E.3
-
53
-
-
0036573344
-
Modified transfer matrix method for conducting interfaces
-
S. Khorasani, and B. Rashidian, Modified transfer matrix method for conducting interfaces, J. Opt. A: Pure Appl. Opt., 4 (2002) pp. 251-256.
-
(2002)
J. Opt. A: Pure Appl. Opt.
, vol.4
, pp. 251-256
-
-
Khorasani, S.1
Rashidian, B.2
-
54
-
-
0001143041
-
Nineteen dubious ways to compute the exponential of a matrix
-
C. Moller and C. F. Van Loan, Nineteen dubious ways to compute the exponential of a matrix, SIAM Rev., 20 (1978), pp. 801-836.
-
(1978)
SIAM Rev.
, vol.20
, pp. 801-836
-
-
Moller, C.1
Van Loan, C.F.2
-
55
-
-
3042602963
-
-
PhD Dissertation, Department of Applied Mathematics, University of California at Berkeley
-
M. Parks, A Study of Algorithms to Compute the Matrix Exponential, PhD Dissertation, Department of Applied Mathematics, University of California at Berkeley, 1994.
-
(1994)
A Study of Algorithms to Compute the Matrix Exponential
-
-
Parks, M.1
-
56
-
-
0030244860
-
The matrix exponential
-
I. E. Leonard, The matrix exponential, SIAM Rev., 38 (1996), pp. 507-512.
-
(1996)
SIAM Rev.
, vol.38
, pp. 507-512
-
-
Leonard, I.E.1
-
57
-
-
0032166336
-
A note on the matrix exponential
-
E. Liz, A note on the matrix exponential, SIAM Rev., 40 (1998), pp. 700-702.
-
(1998)
SIAM Rev.
, vol.40
, pp. 700-702
-
-
Liz, E.1
-
58
-
-
0035571003
-
Matrix exponential-another approach
-
W. A. Harris, J. P. Fillmore, and D. R. Smith, Matrix exponential-another approach, SIAM Rev., 43 (2001), pp. 694-706.
-
(2001)
SIAM Rev.
, vol.43
, pp. 694-706
-
-
Harris, W.A.1
Fillmore, J.P.2
Smith, D.R.3
-
59
-
-
0036018628
-
Generalized polar decompositions for the approximation of the matrix exponential
-
A. Zanna and H. Z. Munthe-Kaas, Generalized polar decompositions for the approximation of the matrix exponential, SIAM J. Matrix Anal. Appl., 23 (2002), pp. 840-862.
-
(2002)
SIAM J. Matrix Anal. Appl.
, vol.23
, pp. 840-862
-
-
Zanna, A.1
Munthe-Kaas, H.Z.2
-
60
-
-
0031579195
-
Saxon-Hunter theorem via matrix exponential
-
I. M. Mladenov, Saxon-Hunter theorem via matrix exponential, Europhys. Lett., 37 (1997), pp. 159-164.
-
(1997)
Europhys. Lett.
, vol.37
, pp. 159-164
-
-
Mladenov, I.M.1
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