-
1
-
-
29844453953
-
A group preserving scheme for inverse heat conduction problems
-
Chang, C.-W.; Liu, C.-S.; Chang, J.-R. (2005): A group preserving scheme for inverse heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol.10, pp. 13-38.
-
(2005)
CMES: Computer Modeling in Engineering & Sciences
, vol.10
, pp. 13-38
-
-
Chang, C.-W.1
Liu, C.-S.2
Chang, J.-R.3
-
2
-
-
67249148129
-
A new shooting method for quasi-boundary regularization of multi-dimensional backward heat conduction problems
-
Chang, C.-W.; Liu, C.-S.; Chang, J.-R. (2009): A new shooting method for quasi-boundary regularization of multi-dimensional backward heat conduction problems. J. Chinese Inst. Engineers, vol.32, pp. 307-318.
-
(2009)
J. Chinese Inst. Engineers
, vol.32
, pp. 307-318
-
-
Chang, C.-W.1
Liu, C.-S.2
Chang, J.-R.3
-
3
-
-
77950798676
-
A quasi-boundary semi-analytical method for backward heat conduction problems
-
Chang, C.-W.; Liu, C.-S.; Chang, J.-R. (2010a): A quasi-boundary semi-analytical method for backward heat conduction problems. J. Chinese Inst. Engineers, vol.33, pp. 163-175.
-
(2010)
J. Chinese Inst. Engineers
, vol.33
, pp. 163-175
-
-
Chang, C.-W.1
Liu, C.-S.2
Chang, J.-R.3
-
4
-
-
77952843312
-
A quasi-boundary semi-analytical approach for two-dimensional backward heat conduction problems
-
Chang, C.-W.; Liu, C.-S.; Chang, J.-R. (2010b): A quasi-boundary semi-analytical approach for two-dimensional backward heat conduction problems. CMC: Computers, Materials & Continua, vol.15, pp. 45-66.
-
(2010)
CMC: Computers, Materials & Continua
, vol.15
, pp. 45-66
-
-
Chang, C.-W.1
Liu, C.-S.2
Chang, J.-R.3
-
5
-
-
33847712471
-
A new shooting method for quasi-boundary regularization of backward heat conduction problems
-
Chang, J.-R.; Liu, C.-S.; Chang, C.-W. (2007): A new shooting method for quasi-boundary regularization of backward heat conduction problems. Int. J. Heat Mass Transfer, vol.50, pp. 2325-2332.
-
(2007)
Int. J. Heat Mass Transfer
, vol.50
, pp. 2325-2332
-
-
Chang, J.-R.1
Liu, C.-S.2
Chang, C.-W.3
-
6
-
-
0242468019
-
Different approaches for the solution of a backward heat conduction problem
-
Chiwiacowsky, L. D.; de Campos Velho, H. F. (2003): Different approaches for the solution of a backward heat conduction problem. Inv. Prob. Eng., vol.11, pp. 471-494.
-
(2003)
Inv. Prob. Eng.
, vol.11
, pp. 471-494
-
-
Chiwiacowsky, L.D.1
De Campos Velho H., F.2
-
7
-
-
51349110230
-
Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region
-
Feng, X.-L.; Qian, Z.; Fu, C.-L. (2008): Numerical approximation of solution of nonhomogeneous backward heat conduction problem in bounded region. Math. Comp. Simul., vol.79, pp. 177-188.
-
(2008)
Math. Comp. Simul.
, vol.79
, pp. 177-188
-
-
Feng, X.-L.1
Qian, Z.2
Fu, C.-L.3
-
8
-
-
0001293247
-
The boundary element method for the solution of the backward heat conduction equation
-
Han, H.; Ingham, D. B.; Yuan, Y. (1995): The boundary element method for the solution of the backward heat conduction equation. J. Comp. Phys., vol.116, pp. 292-299.
-
(1995)
J. Comp. Phys.
, vol.116
, pp. 292-299
-
-
Han, H.1
Ingham, D.B.2
Yuan, Y.3
-
9
-
-
3142679353
-
Numerical solution of backward heat conduction problems by a high order lattice-free finite difference method
-
Iijima, K. (2004): Numerical solution of backward heat conduction problems by a high order lattice-free finite difference method. J. Chinese Inst. Engineers, vol.27, pp. 611-620.
-
(2004)
J. Chinese Inst. Engineers
, vol.27
, pp. 611-620
-
-
Iijima, K.1
-
10
-
-
0036697675
-
An iterative algorithm for the backward heat conduction problem based on variable relaxation factors
-
Jourhmane, M.; Mera, N. S. (2002): An iterative algorithm for the backward heat conduction problem based on variable relaxation factors. Inv. Prob. Eng., vol.10, pp. 293-308.
-
(2002)
Inv. Prob. Eng.
, vol.10
, pp. 293-308
-
-
Jourhmane, M.1
Mera, N.S.2
-
11
-
-
0344514171
-
Solution of inverse diffusion problems by operator-splitting methods
-
Kirkup, S. M.;Wadsworth, M. (2002): Solution of inverse diffusion problems by operator-splitting methods. Appl. Math. Model., vol.26, pp. 1003-1018.
-
(2002)
Appl. Math. Model.
, vol.26
, pp. 1003-1018
-
-
Kirkup, S.M.1
Wadsworth, M.2
-
12
-
-
0000898783
-
An iterative boundary element method for solving the backward heat conduction problem using an elliptic approximation
-
Lesnic, D.; Elliott, L.; Ingham, D. B. (1998): An iterative boundary element method for solving the backward heat conduction problem using an elliptic approximation. Inv. Prob. Eng., vol.6, pp. 255-279.
-
(1998)
Inv. Prob. Eng.
, vol.6
, pp. 255-279
-
-
Lesnic, D.1
Elliott, L.2
Ingham, D.B.3
-
13
-
-
67649333601
-
Solution of Backward Heat Problem by Morozov Discrepancy Principle and Conditional Stability
-
Li, H.; Liu, J. J. (2005): Solution of Backward Heat Problem by Morozov Discrepancy Principle and Conditional Stability. Num. Math. J. of Chinese Univ., vol.14, pp. 180-192.
-
(2005)
Num. Math J. of Chinese Univ.
, vol.14
, pp. 180-192
-
-
Li, H.1
Liu, J.J.2
-
14
-
-
0035480574
-
Cone of non-linear dynamical system and group preserving schemes
-
Liu, C.-S. (2001): Cone of non-linear dynamical system and group preserving schemes. Int. J. of Non-Linear Mech., vol.36, pp. 1047-1068.
-
(2001)
Int J. of Non-linear Mech.
, vol.36
, pp. 1047-1068
-
-
Liu, C.-S.1
-
15
-
-
1842534840
-
Group preserving scheme for backward heat conduction problems
-
Liu, C.-S. (2004): Group preserving scheme for backward heat conduction problems. Int. J. Heat Mass Transfer, vol.47, pp. 2567-2576.
-
(2004)
Int. J. Heat Mass Transfer
, vol.47
, pp. 2567-2576
-
-
Liu, C.-S.1
-
16
-
-
33646834641
-
An efficient backward group preserving scheme for the backward in time Burgers equation
-
Liu, C.-S. (2006): An efficient backward group preserving scheme for the backward in time Burgers equation. CMES: Computer Modeling in Engineering & Sciences, vol.12, pp. 55-65.
-
(2006)
CMES: Computer Modeling in Engineering & Sciences
, vol.12
, pp. 55-65
-
-
Liu, C.-S.1
-
17
-
-
33646850601
-
Past cone dynamics and backward group preserving schemes for backward heat conduction problems
-
Liu, C.-S.; Chang, C.-W.; Chang, J.-R. (2006): Past cone dynamics and backward group preserving schemes for backward heat conduction problems. CMES: Computer Modeling in Engineering & Sciences, vol.12, pp. 67-81.
-
(2006)
CMES: Computer Modeling in Engineering & Sciences
, vol.12
, pp. 67-81
-
-
Liu, C.-S.1
Chang, C.-W.2
Chang, J.-R.3
-
18
-
-
73449138290
-
The backward group preserving scheme for 1D backward in time advection-dispersion equation
-
Liu, C.-S.; Chang, C.-W.; Chang, J.-R. (2010): The backward group preserving scheme for 1D backward in time advection-dispersion equation. Num. Meth. Partial Diff. Eq., vol.26, pp. 61-80.
-
(2010)
Num. Meth. Partial Diff. Eq.
, vol.26
, pp. 61-80
-
-
Liu, C.-S.1
Chang, C.-W.2
Chang, J.-R.3
-
19
-
-
0037102596
-
Numerical solution of forward and backward problem for 2-D heat conduction equation
-
Liu, J. (2002): Numerical solution of forward and backward problem for 2-D heat conduction equation. J. Comp. Appl. Math., vol.145, pp. 459-482.
-
(2002)
J. Comp. Appl. Math.
, vol.145
, pp. 459-482
-
-
Liu, J.1
-
20
-
-
10444242627
-
Approximation of parabolic non-linear evolution equation backward in time
-
Long, N. T.; Dinh, A. P. N. (1994): Approximation of parabolic non-linear evolution equation backward in time. Inv. Prob., vol.10, pp. 905-914.
-
(1994)
Inv. Prob.
, vol.10
, pp. 905-914
-
-
Long, N.T.1
Dinh, A.P.N.2
-
21
-
-
12344271462
-
The method of fundamental solutions for the backward heat conduction problem
-
Mera, N. S. (2005): The method of fundamental solutions for the backward heat conduction problem. Inv. Prob. Sci. Eng., vol.13, pp. 65-78.
-
(2005)
Inv. Prob. Sci. Eng.
, vol.13
, pp. 65-78
-
-
Mera, N.S.1
-
22
-
-
0034744604
-
An iterative boundary element method for solving the one-dimensional backward heat conduction problem
-
Mera, N. S.; Elliott, L.; Ingham, D. B.; Lesnic, D. (2001): An iterative boundary element method for solving the one-dimensional backward heat conduction problem. Int. J. Heat Mass Transfer, vol.44, pp. 1937-1946.
-
(2001)
Int. J. Heat Mass Transfer
, vol.44
, pp. 1937-1946
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
Lesnic, D.4
-
23
-
-
0036749217
-
An inversion method with decreasing regularization for the backward heat conduction problem
-
Mera, N. S.; Elliott, L.; Ingham, D. B. (2002): An inversion method with decreasing regularization for the backward heat conduction problem. Num. Heat Transfer B, vol.42, pp. 215-230.
-
(2002)
Num. Heat Transfer B
, vol.42
, pp. 215-230
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
-
24
-
-
0342520839
-
Entropy- and Tikhonov-based regularization techniques applied to the backward heat equation
-
Muniz, W. B.; Ramos, F. M.; de Campos Velho, H. F. (2000): Entropy- and Tikhonov-based regularization techniques applied to the backward heat equation. Int. J. Comp. Math., vol.40, pp. 1071-1084.
-
(2000)
Int. J. Comp. Math.
, vol.40
, pp. 1071-1084
-
-
Muniz, W.B.1
Ramos, F.M.2
De Campos Velho, H.F.3
-
25
-
-
0033096606
-
A comparison of some inverse methods for estimating the initial condition of the heat equation
-
Muniz, W. B.; de Campos Velho, H. F.; Ramos, F. M. (1999): A comparison of some inverse methods for estimating the initial condition of the heat equation. J. Comp. Appl. Math., vol.103, pp. 145-163.
-
(1999)
J. Comp. Appl. Math.
, vol.103
, pp. 145-163
-
-
Muniz, W.B.1
De Campos Velho2
H., F.3
Ramos, F.M.4
-
26
-
-
77949568002
-
An approximate solution for nonlinear backward parabolic equations
-
doi:10.1016/j.jmaa.2010.01.020
-
Nam, P. T. (2010): An approximate solution for nonlinear backward parabolic equations. J. Math. Anal. Appl., doi:10.1016/j.jmaa.2010.01.020.
-
(2010)
J. Math. Anal. Appl.
-
-
Nam, P.T.1
-
27
-
-
34547169387
-
A nonlinear case of the 1-D backward heat problem: Regularization and error estimate
-
Trong, D. D.; Quan, P. H.; Khanh, T. V.; Tuan, N. H. (2007): A nonlinear case of the 1-D backward heat problem: Regularization and error estimate. Zeitschrift Anal. und ihre, vol.26, pp. 231-245.
-
(2007)
Zeitschrift Anal. und ihre
, vol.26
, pp. 231-245
-
-
Trong, D.D.1
Quan, P.H.2
Khanh, T.V.3
Tuan, N.H.4
-
28
-
-
30544431837
-
Regularization and error estimates for nonhomogeneous backward heat problems. Electron
-
Trong, D. D.; Tuan, N. H. (2006): Regularization and error estimates for nonhomogeneous backward heat problems. Electron. J. Diff. Eq., vol.2006, pp. 1-10.
-
(2006)
J. Diff. Eq.
, vol.2006
, pp. 1-10
-
-
Trong, D.D.1
Tuan, N.H.2
-
29
-
-
40849098972
-
A nonhomogeneous backward heat problem: regularization and error estimates. Electron
-
Trong, D. D.; Tuan, N. H. (2008a): A nonhomogeneous backward heat problem: regularization and error estimates. Electron. J. Diff. Eq., vol.2008, pp. 1-14.
-
(2008)
J. Diff. Eq.
, vol.2008
, pp. 1-14
-
-
Trong, D.D.1
Tuan, N.H.2
-
30
-
-
45149119185
-
Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems. Electron
-
Trong, D. D.; Tuan, N. H. (2008b): Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems. Electron. J. Diff. Eq., vol.2008, pp. 1-12.
-
(2008)
J. Diff. Eq.
, vol.2008
, pp. 1-12
-
-
Trong, D.D.1
Tuan, N.H.2
-
31
-
-
67349245006
-
Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation
-
Trong, D. D.; Tuan, N. H. (2009a): Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation. Nonlinear Anal., vol.71, pp. 4167-4176.
-
(2009)
Nonlinear Anal.
, vol.71
, pp. 4167-4176
-
-
Trong, D.D.1
Tuan, N.H.2
-
32
-
-
68249112942
-
Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method. Electron
-
Trong, D. D.; Tuan, N. H. (2009b): Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method. Electron. J. Diff. Eq., vol.2009, pp. 1-13.
-
(2009)
J. Diff. Eq.
, vol.2009
, pp. 1-13
-
-
Trong, D.D.1
Tuan, N.H.2
-
33
-
-
77954616042
-
A new regularized method for two dimensional nonhomogeneous backward heat problem
-
Tuan, N. H.; Trong, D. D. (2009): A new regularized method for two dimensional nonhomogeneous backward heat problem. Appl. Math. Comp., vol.2008, pp. 1-14.
-
(2009)
Appl. Math. Comp.
, vol.2008
, pp. 1-14
-
-
Tuan, N.H.1
Trong, D.D.2
|