-
1
-
-
0003441640
-
-
Elsevier, Amsterdam
-
Bellman, R., Kalaba, R., Lockett, J.A.: Numerical inversion of the Laplace transform: applications to biology, economics, engineering, and physics. Elsevier, Amsterdam (1966)
-
(1966)
Numerical inversion of the Laplace transform: applications to biology, economics, engineering, and physics
-
-
Bellman, R.1
Kalaba, R.2
Lockett, J.A.3
-
2
-
-
0007191914
-
Exponential-sampling method for Laplace and other dilationally invariant transforms: I. Singular-system analysis
-
Bertero, M., Pike, E.R.: Exponential-sampling method for Laplace and other dilationally invariant transforms: I. Singular-system analysis. Inverse Problems 7, 21–41 (1991)
-
(1991)
Inverse Problems
, vol.7
, pp. 21-41
-
-
Bertero, M.1
Pike, E.R.2
-
3
-
-
33748530972
-
Computation of the inverse Laplace transform based on a collocation method which uses only real values
-
Cuomo, S., D’Amore, L., Murli, A., Rizzardi, M.: Computation of the inverse Laplace transform based on a collocation method which uses only real values. J. Comput. Appl. Math. 198, 98–115 (2007)
-
(2007)
J. Comput. Appl. Math
, vol.198
, pp. 98-115
-
-
Cuomo, S.1
D’Amore, L.2
Murli, A.3
Rizzardi, M.4
-
4
-
-
78651541215
-
A Modification of Weeks’ Method for numerical inversion of the Laplace transform in the real case based on automatic differentiation
-
Bischof CH, Bücker HM, Hovland PD, Naumann U, Utke J, (eds), Springer, Berlin
-
Cuomo, S., D’Amore, L., Murli, A., Rizzardi, M.: A Modification of Weeks’ Method for numerical inversion of the Laplace transform in the real case based on automatic differentiation. In: Bischof, C.H., Bücker, H.M., Hovland, P.D., Naumann, U., Utke, J. (eds.) Advances in automatic differentiation, pp. 45–54. Springer, Berlin (2008)
-
(2008)
Advances in automatic differentiation
, pp. 45-54
-
-
Cuomo, S.1
D’Amore, L.2
Murli, A.3
Rizzardi, M.4
-
5
-
-
0015079567
-
Numerical differentiation and regularization, SIAM
-
Cullum, J.: Numerical differentiation and regularization, SIAM. J. Num. Anal. 8, 254–265 (1971)
-
(1971)
J. Num. Anal
, vol.8
, pp. 254-265
-
-
Cullum, J.1
-
7
-
-
0039374302
-
An implementation of a Fourier series method for the numerical inversion of the Laplace transform
-
D’Amore, L., Laccetti, G., Murli, A.: An implementation of a Fourier series method for the numerical inversion of the Laplace transform. ACM Trans. Math. Softw. 25, 279–305 (1999)
-
(1999)
ACM Trans. Math. Softw
, vol.25
, pp. 279-305
-
-
D’Amore, L.1
Laccetti, G.2
Murli, A.3
-
8
-
-
0038006166
-
Algorithm 796: a fortran software package for the numerical inversion of the Laplace transform based on a fourier series method
-
D’Amore, L., Laccetti, G., Murli, A.: Algorithm 796: a fortran software package for the numerical inversion of the Laplace transform based on a fourier series method. ACM Trans. Math. Softw. 25, 306–315 (1999)
-
(1999)
ACM Trans. Math. Softw
, vol.25
, pp. 306-315
-
-
D’Amore, L.1
Laccetti, G.2
Murli, A.3
-
9
-
-
0001412974
-
An extension of the Henrici formula for Laplace transform inversion
-
D’Amore, L., Murli, A., Rizzardi, M.: An extension of the Henrici formula for Laplace transform inversion. Inverse Problems 16, 1441–1456 (2000)
-
(2000)
Inverse Problems
, vol.16
, pp. 1441-1456
-
-
D’Amore, L.1
Murli, A.2
Rizzardi, M.3
-
10
-
-
0036683933
-
Regularization of a fourier series based method for the Laplace transform inversion in the real case
-
D’Amore, L., Murli, A.: Regularization of a fourier series based method for the Laplace transform inversion in the real case. Inverse Problems 18, 1185–1205 (2002)
-
(2002)
Inverse Problems
, vol.18
, pp. 1185-1205
-
-
D’Amore, L.1
Murli, A.2
-
11
-
-
34848871877
-
An efficient algorithm for regularization of Laplace transform inversion in real case
-
D’Amore, L., Campagna, R., Murli, A.: An efficient algorithm for regularization of Laplace transform inversion in real case. J. Comput. Appl. Math. 210, 84–98 (2007)
-
(2007)
J. Comput. Appl. Math
, vol.210
, pp. 84-98
-
-
D’Amore, L.1
Campagna, R.2
Murli, A.3
-
12
-
-
84856947024
-
A smoothing spline that approximates Laplace transform functions only known on measurements on the real axis
-
D’Amore, L., Campagna, R., Galletti, A., Marcellino, L., Murli, A.: A smoothing spline that approximates Laplace transform functions only known on measurements on the real axis. Inverse Problems 28(2), 025007 (2012)
-
(2012)
Inverse Problems
, vol.28
, Issue.2
, pp. 025007
-
-
D’Amore, L.1
Campagna, R.2
Galletti, A.3
Marcellino, L.4
Murli, A.5
-
13
-
-
84876310615
-
ReLaTIve. An Ansi C90 software package for the real Laplace transform inversion
-
D’Amore, L., Campagna, R., Mele, V., Murli, A.: ReLaTIve. An Ansi C90 software package for the real Laplace transform inversion. Num. Algor. 63, 187–211 (2013)
-
(2013)
Num. Algor
, vol.63
, pp. 187-211
-
-
D’Amore, L.1
Campagna, R.2
Mele, V.3
Murli, A.4
-
14
-
-
84885032125
-
Performance analysis of the Taylor expansion coefficients computation as implemented by the software package TADIFF
-
D’Amore, L., Mele, V., Murli, A.: Performance analysis of the Taylor expansion coefficients computation as implemented by the software package TADIFF. J. Num. Anal. Indus. Appl. Math. (JNAIAM) 8(1–2), 1–12 (2013)
-
(2013)
J. Num. Anal. Indus. Appl. Math. (JNAIAM)
, vol.8
, Issue.1-2
, pp. 1-12
-
-
D’Amore, L.1
Mele, V.2
Murli, A.3
-
15
-
-
84911808227
-
-
(in press)
-
D’Amore, L., Campagna, R., Mele, V., Murli A. Reliadiff.: A C++ software package for Laplace transform Inversion, ACM Transaction on Mathematical Software, (in press).
-
A C++ software package for Laplace transform Inversion, ACM Transaction on Mathematical Software
-
-
D’Amore, L.1
Campagna, R.2
Mele, V.3
Reliadiff, M.A.4
-
16
-
-
0003531188
-
-
Kluwer Academic Publisher, Netherlands
-
Engl, H.W., Hanke, M., Neubauer, A.: Regularization of inverse problems. Kluwer Academic Publisher, Netherlands (2000)
-
(2000)
Regularization of inverse problems
-
-
Engl, H.W.1
Hanke, M.2
Neubauer, A.3
-
17
-
-
0001987242
-
Numerical inversion of Laplace transform. A survey and comparison of methods
-
Davies, B., Martin, D.: Numerical inversion of Laplace transform. A survey and comparison of methods. J. Comp. Phys. 33, 1–32 (1979)
-
(1979)
J. Comp. Phys
, vol.33
, pp. 1-32
-
-
Davies, B.1
Martin, D.2
-
18
-
-
84966237760
-
The probability that a numerical analysis problem is difficult
-
Demmel, J.: The probability that a numerical analysis problem is difficult. Math. Comp. 50(182), 449–480 (1998)
-
(1998)
Math. Comp
, vol.50
, Issue.182
, pp. 449-480
-
-
Demmel, J.1
-
19
-
-
0024030408
-
Algorithm 662: a fortran software package for the numerical inversion of a Laplace transform based on week’s method
-
Garbow, S., Giunta, G., Lyness, N.J., Murli, A.: Algorithm 662: a fortran software package for the numerical inversion of a Laplace transform based on week’s method. ACM Trans. Math. Softw. 54, 163–170 (1988)
-
(1988)
ACM Trans. Math. Softw
, vol.54
, pp. 163-170
-
-
Garbow, S.1
Giunta, G.2
Lyness, N.J.3
Murli, A.4
-
20
-
-
84904128799
-
An algorithm for inverting the Laplace transform using real and real sampled function values
-
Brezinski C, (ed), IMACS Proceeding, Missouri
-
Giunta, G., Murli, A.: An algorithm for inverting the Laplace transform using real and real sampled function values. In: Brezinski, C. (ed.) Numerical and applied mathematics, pp. 589–592. IMACS Proceeding, Missouri (1989)
-
(1989)
Numerical and applied mathematics
, pp. 589-592
-
-
Giunta, G.1
Murli, A.2
-
22
-
-
0035374241
-
Inverse problems light: numerical differentiation
-
Hanke, M., Scherzer, O.: Inverse problems light: numerical differentiation. Amer. Math. Month. 108(6), 512–521 (2001)
-
(2001)
Amer. Math. Month
, vol.108
, Issue.6
, pp. 512-521
-
-
Hanke, M.1
Scherzer, O.2
-
25
-
-
0037663751
-
Direct regularization of the inversion of real-valued Laplace transforms
-
Kryzhniy, V.V.: Direct regularization of the inversion of real-valued Laplace transforms. Inverse Problems 19(3), 573–583 (2003)
-
(2003)
Inverse Problems
, vol.19
, Issue.3
, pp. 573-583
-
-
Kryzhniy, V.V.1
-
26
-
-
33947409069
-
On the numerical inversion of Laplace transform and similar fredholm integral equations of the first kind
-
Mcwirther, J.C., Pike, E.R.: On the numerical inversion of Laplace transform and similar fredholm integral equations of the first kind. J. Phys. A 11(9), 1729–1745 (1978)
-
(1978)
J. Phys. A
, vol.11
, Issue.9
, pp. 1729-1745
-
-
Mcwirther, J.C.1
Pike, E.R.2
-
27
-
-
33947381460
-
Numerical regularization of a real inversion formula based on the Laplace transform’s eigenfunction expansion of the inverse function
-
Murli, A., Cuomo, S., D’Amore, L., Galletti, A.: Numerical regularization of a real inversion formula based on the Laplace transform’s eigenfunction expansion of the inverse function. Inverse Problems 23, 713–731 (2007)
-
(2007)
Inverse Problems
, vol.23
, pp. 713-731
-
-
Murli, A.1
Cuomo, S.2
D’Amore, L.3
Galletti, A.4
-
28
-
-
0025448483
-
Algorithm 682: talbot’s method of the Laplace inversion problems
-
Murli, A., Rizzardi, M.: Algorithm 682: talbot’s method of the Laplace inversion problems. ACM Trans. Math. Softw. (TOMS) 16(2), 158–168 (1990)
-
(1990)
ACM Trans. Math. Softw. (TOMS)
, vol.16
, Issue.2
, pp. 158-168
-
-
Murli, A.1
Rizzardi, M.2
-
29
-
-
77958410085
-
A new numerical method for the inversion of the Laplace tranform
-
Piessens, R.: A new numerical method for the inversion of the Laplace tranform. J. Inst. Math. Appl. 10, 185–192 (1972)
-
(1972)
J. Inst. Math. Appl
, vol.10
, pp. 185-192
-
-
Piessens, R.1
-
30
-
-
84904108896
-
Algorithm 113: inversion of the Laplace transform
-
Piessens, R.: Algorithm 113: inversion of the Laplace transform. Algor. Suppl. Comp. J. 25(2), 278–282 (1982)
-
(1982)
Algor. Suppl. Comp. J
, vol.25
, Issue.2
, pp. 278-282
-
-
Piessens, R.1
-
31
-
-
0000962115
-
Numerical inversion of a Laplace transform
-
Spinelli, R.A.: Numerical inversion of a Laplace transform. SIAM J. Numer. Anal. 3, N.4 (1966)
-
(1966)
SIAM J. Numer. Anal
, vol.3
, pp. 4
-
-
Spinelli, R.A.1
-
33
-
-
0033296255
-
Algorithms for parameter selection in the weeks method for inverting the Laplace transform
-
Weidemann, J.: Algorithms for parameter selection in the weeks method for inverting the Laplace transform. SIAM J. Sci. Comput. 21(1), 118–128 (1999)
-
(1999)
SIAM J. Sci. Comput
, vol.21
, Issue.1
, pp. 118-128
-
-
Weidemann, J.1
|