-
1
-
-
0035480574
-
Cone of non-linear dynamical system and group preserving schemes
-
Liu C.-S. Cone of non-linear dynamical system and group preserving schemes. Int. J. Non-Linear Mech. 2001, 36:1047-1068.
-
(2001)
Int. J. Non-Linear Mech.
, vol.36
, pp. 1047-1068
-
-
Liu, C.-S.1
-
2
-
-
27644553495
-
Nonstandard group-preserving schemes for very stiff ordinary differential equations
-
Liu C.-S. Nonstandard group-preserving schemes for very stiff ordinary differential equations. CMES: Comput. Model. Eng. Sci. 2005, 9:255-272.
-
(2005)
CMES: Comput. Model. Eng. Sci.
, vol.9
, pp. 255-272
-
-
Liu, C.-S.1
-
3
-
-
33646784731
-
Preserving constraints of differential equations by numerical methods based on integrating factors
-
Liu C.-S. Preserving constraints of differential equations by numerical methods based on integrating factors. CMES: Comput. Model. Eng. Sci. 2006, 12:83-107.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.12
, pp. 83-107
-
-
Liu, C.-S.1
-
4
-
-
12344271462
-
The method of fundamental solutions for the backward heat conduction problem
-
Mera N.S. The method of fundamental solutions for the backward heat conduction problem. Inv. Probl. Sci. Eng. 2005, 13:65-78.
-
(2005)
Inv. Probl. Sci. Eng.
, vol.13
, pp. 65-78
-
-
Mera, N.S.1
-
5
-
-
1842534840
-
Group preserving scheme for backward heat conduction problems
-
Liu C.-S. Group preserving scheme for backward heat conduction problems. Int. J. Heat Mass. Transfer 2004, 47:2567-2576.
-
(2004)
Int. J. Heat Mass. Transfer
, vol.47
, pp. 2567-2576
-
-
Liu, C.-S.1
-
6
-
-
33646850601
-
Past cone dynamics and backward group preserving schemes for backward heat conduction problems
-
Liu C.-S., Chang C.W., Chang J.R. Past cone dynamics and backward group preserving schemes for backward heat conduction problems. CMES: Comput. Model. Eng. Sci. 2006, 12:67-81.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.12
, pp. 67-81
-
-
Liu, C.-S.1
Chang, C.W.2
Chang, J.R.3
-
7
-
-
33847712471
-
A new shooting method for quasi-boundary regularization of backward heat conduction problems
-
Chang J.R., Liu C.-S., Chang C.W. A new shooting method for quasi-boundary regularization of backward heat conduction problems. Int. J. Heat Mass Transfer 2007, 50:2325-2332.
-
(2007)
Int. J. Heat Mass Transfer
, vol.50
, pp. 2325-2332
-
-
Chang, J.R.1
Liu, C.-S.2
Chang, C.W.3
-
8
-
-
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. A new shooting method for quasi-boundary regularization of multi-dimensional backward heat conduction problems. J. Chin. Inst. Eng. 2009, 32:307-318.
-
(2009)
J. Chin. Inst. Eng.
, vol.32
, pp. 307-318
-
-
Chang, C.W.1
Liu, C.-S.2
Chang, J.R.3
-
9
-
-
41649113492
-
An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature
-
Liu C.-S. An LGSM to identify nonhomogeneous heat conductivity functions by an extra measurement of temperature. Int. J. Heat Mass Transfer 2008, 51:2603-2613.
-
(2008)
Int. J. Heat Mass Transfer
, vol.51
, pp. 2603-2613
-
-
Liu, C.-S.1
-
10
-
-
46449098515
-
An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient
-
Liu C.-S. An LGEM to identify time-dependent heat conductivity function by an extra measurement of temperature gradient. CMC: Comput., Mater. Continua 2008, 7:81-96.
-
(2008)
CMC: Comput., Mater. Continua
, vol.7
, pp. 81-96
-
-
Liu, C.-S.1
-
11
-
-
59049098656
-
A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature
-
Liu C.-S. A two-stage LGSM to identify time-dependent heat source through an internal measurement of temperature. Int. J. Heat Mass Transfer 2009, 52:1635-1642.
-
(2009)
Int. J. Heat Mass Transfer
, vol.52
, pp. 1635-1642
-
-
Liu, C.-S.1
-
12
-
-
76249101054
-
A three-point BVP of time-dependent inverse heat source problems and solving by a TSLGSM
-
Yeih W., Liu C.-S. A three-point BVP of time-dependent inverse heat source problems and solving by a TSLGSM. CMES: Comput. Model. Eng. Sci. 2006, 46:107-127.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.46
, pp. 107-127
-
-
Yeih, W.1
Liu, C.-S.2
-
14
-
-
0001293247
-
The boundary element method for the solution of the backward heat conduction equation
-
Han H., Ingham D.B., Yuan Y. The boundary element method for the solution of the backward heat conduction equation. J. Comp. Phys. 1995, 116:292-299.
-
(1995)
J. Comp. Phys.
, vol.116
, pp. 292-299
-
-
Han, H.1
Ingham, D.B.2
Yuan, Y.3
-
15
-
-
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. An iterative boundary element method for solving the one-dimensional backward heat conduction problem. Int. J. Heat Mass Transfer 2001, 44:1937-1946.
-
(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
-
16
-
-
0036749217
-
An inversion method with decreasing regularization for the backward heat conduction problem
-
Mera N.S., Elliott L., Ingham D.B. An inversion method with decreasing regularization for the backward heat conduction problem. Numer. Heat Transfer B 2002, 42:215-230.
-
(2002)
Numer. Heat Transfer B
, vol.42
, pp. 215-230
-
-
Mera, N.S.1
Elliott, L.2
Ingham, D.B.3
-
17
-
-
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. A comparison of some inverse methods for estimating the initial condition of the heat equation. J. Comp. Appl. Math. 1999, 103:145-163.
-
(1999)
J. Comp. Appl. Math.
, vol.103
, pp. 145-163
-
-
Muniz, W.B.1
de Campos Velho, H.F.2
Ramos, F.M.3
-
18
-
-
0342520839
-
Entropy-and Tikhonov-based regularization techniques applied to the backward heat equation
-
Muniz W.B., Ramos F.M., de Campos Velho H.F. Entropy-and Tikhonov-based regularization techniques applied to the backward heat equation. Int. J. Comp. Math. 2000, 40:1071-1084.
-
(2000)
Int. J. Comp. Math.
, vol.40
, pp. 1071-1084
-
-
Muniz, W.B.1
Ramos, F.M.2
de Campos Velho, H.F.3
-
19
-
-
0344514171
-
Solution of inverse diffusion problems by operator-splitting methods
-
Kirkup S.M., Wadsworth M. Solution of inverse diffusion problems by operator-splitting methods. Appl. Math. Model. 2002, 26:1003-1018.
-
(2002)
Appl. Math. Model.
, vol.26
, pp. 1003-1018
-
-
Kirkup, S.M.1
Wadsworth, M.2
-
20
-
-
3142679353
-
Numerical solution of backward heat conduction problems by a high order lattice-free finite difference method
-
Iijima K. Numerical solution of backward heat conduction problems by a high order lattice-free finite difference method. J. Chin. Inst. Eng. 2004, 27:611-620.
-
(2004)
J. Chin. Inst. Eng.
, vol.27
, pp. 611-620
-
-
Iijima, K.1
-
21
-
-
33846939256
-
A modified method for a backward heat conduction problem
-
Qian Z., Fu C.L., Shi R. A modified method for a backward heat conduction problem. Appl. Math. Comp. 2007, 185:564-573.
-
(2007)
Appl. Math. Comp.
, vol.185
, pp. 564-573
-
-
Qian, Z.1
Fu, C.L.2
Shi, R.3
-
22
-
-
33947105490
-
Fourier regularization for a backward heat equation
-
Fu C.L., Xiong X.T., Qian Z. Fourier regularization for a backward heat equation. J. Math. Anal. Appl. 2007, 331:472-480.
-
(2007)
J. Math. Anal. Appl.
, vol.331
, pp. 472-480
-
-
Fu, C.L.1
Xiong, X.T.2
Qian, Z.3
-
23
-
-
36049002848
-
On three spectral regularization methods for a backward heat conduction problem
-
Xiong X.T., Fu C.L., Qian Z. On three spectral regularization methods for a backward heat conduction problem. J. Korean Math. Soc. 2007, 44:1281-1290.
-
(2007)
J. Korean Math. Soc.
, vol.44
, pp. 1281-1290
-
-
Xiong, X.T.1
Fu, C.L.2
Qian, Z.3
-
24
-
-
76449101119
-
A new method for Fredholm integral equations of 1D backward heat conduction problems
-
Liu C.-S. A new method for Fredholm integral equations of 1D backward heat conduction problems. CMES: Comput. Model. Eng. Sci. 2009, 47:1-21.
-
(2009)
CMES: Comput. Model. Eng. Sci.
, vol.47
, pp. 1-21
-
-
Liu, C.-S.1
-
25
-
-
33747359172
-
Two numerical methods for solving a backward heat problem
-
Xiong X.T., Fu C.L., Qian Z. Two numerical methods for solving a backward heat problem. Appl. Math. Comp. 2006, 179:374-381.
-
(2006)
Appl. Math. Comp.
, vol.179
, pp. 374-381
-
-
Xiong, X.T.1
Fu, C.L.2
Qian, Z.3
-
26
-
-
0242468019
-
Different approaches for the solution of a backward heat conduction problem
-
Chiwiacowsky L.D., de Campos Velho H.F. Different approaches for the solution of a backward heat conduction problem. Inv. Probl. Eng. 2003, 11:471-494.
-
(2003)
Inv. Probl. Eng.
, vol.11
, pp. 471-494
-
-
Chiwiacowsky, L.D.1
de Campos Velho, H.F.2
-
27
-
-
0007447039
-
Quasireversibility methods for non-well-posed problems
-
Clark G.W., Oppenheimer S.F. Quasireversibility methods for non-well-posed problems. Elect. J. Diff. Eqns. 1994, 1994:1-9.
-
(1994)
Elect. J. Diff. Eqns.
, vol.1994
, pp. 1-9
-
-
Clark, G.W.1
Oppenheimer, S.F.2
-
28
-
-
0032384591
-
A comparison of regularizations for an ill-posed problem
-
Ames K.A., Clark G.W., Epperson J.F., Oppenheimer S.F. A comparison of regularizations for an ill-posed problem. Math. Comp. 1998, 67:1451-1471.
-
(1998)
Math. Comp.
, vol.67
, pp. 1451-1471
-
-
Ames, K.A.1
Clark, G.W.2
Epperson, J.F.3
Oppenheimer, S.F.4
-
29
-
-
33744980037
-
The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions
-
Liu C.-S. The Lie-group shooting method for nonlinear two-point boundary value problems exhibiting multiple solutions. CMES: Comput. Model. Eng. Sci. 2006, 13:149-163.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.13
, pp. 149-163
-
-
Liu, C.-S.1
-
30
-
-
33845426680
-
Efficient shooting methods for the second order ordinary differential equations
-
Liu C.-S. Efficient shooting methods for the second order ordinary differential equations. CMES: Comput. Model. Eng. Sci. 2006, 15:69-86.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.15
, pp. 69-86
-
-
Liu, C.-S.1
-
31
-
-
33845427623
-
The Lie-group shooting method for singularly perturbed two-point boundary value problems
-
Liu C.-S. The Lie-group shooting method for singularly perturbed two-point boundary value problems. CMES: Comput. Model. Eng. Sci. 2006, 15:179-196.
-
(2006)
CMES: Comput. Model. Eng. Sci.
, vol.15
, pp. 179-196
-
-
Liu, C.-S.1
-
32
-
-
0000898783
-
An iterative boundary element method for solving the backward heat conduction problem using an elliptic approximation
-
Lesnic D., Elliott L., Ingham D.B. An iterative boundary element method for solving the backward heat conduction problem using an elliptic approximation. Inv. Probl. Eng. 1998, 6:255-279.
-
(1998)
Inv. Probl. Eng.
, vol.6
, pp. 255-279
-
-
Lesnic, D.1
Elliott, L.2
Ingham, D.B.3
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