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Author ID: rundell.william Recent zbMATH articles by "Rundell, William"
Published as: Rundell, William; Rundell, W.

Publications by Year

Citations contained in zbMATH Open

98 Publications have been cited 1,875 times in 1,300 Documents Cited by Year
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
162
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
108
2015
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
100
2012
Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045
Rundell, William
94
1980
Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015
Rundell, William; Sacks, Paul E.
76
1992
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
72
2005
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216
Liu, Yikan; Rundell, William; Yamamoto, Masahiro
63
2016
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
60
1997
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
50
2015
The determination of a parabolic equation from initial and final data. Zbl 0644.35093
Rundell, William
47
1987
Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131
Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua
47
2013
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
43
1997
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
42
1992
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
41
1996
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
40
1998
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
37
2001
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
37
2013
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
33
2001
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
33
2019
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
31
2018
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
30
2000
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
29
1985
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
29
1992
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
25
2001
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
25
1986
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
25
2019
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
24
2017
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
19
2012
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
18
1991
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
18
2020
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
17
2011
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
16
1994
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
15
2004
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
13
2008
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
12
1997
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
12
2019
Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083
Pilant, Michael; Rundell, William
11
1988
Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044
Stecher, Michael; Rundell, William
11
1977
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
11
1989
Determining the death rate for an age-structured population from census data. Zbl 0801.35150
Rundell, William
11
1993
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
11
1994
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
11
2003
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
11
2021
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
10
1987
An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081
Pilant, Michael; Rundell, William
10
1987
The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067
Rundell, William
10
1978
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
9
1994
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
9
2015
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
9
2013
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
8
1999
A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016
McLaughlin, Joyce R.; Rundell, William
7
1987
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
7
1977
Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098
Pilant, Michael; Rundell, William
7
1991
The Stefan problem for a pseudo-heat equation. Zbl 0396.35061
Rundell, William
7
1978
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
7
1994
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
7
2015
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
7
2021
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
7
2020
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
7
2020
A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078
Pilant, Michael; Rundell, William
6
1988
An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem. Zbl 0673.65081
Pilant, Michael; Rundell, William
6
1989
An inverse problem for a parabolic partial differential equation. Zbl 0535.35076
Rundell, William
6
1983
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
6
1997
Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085
Pilant, Michael S.; Rundell, William
5
1987
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
5
1995
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29 – August 4, 1989. Zbl 0695.00017
5
1990
The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062
Rundell, William
5
1979
The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063
Rundell, William; Stecher, Michael
5
1979
Surveys on solution methods for inverse problems. Zbl 0948.00011
4
2000
Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139
Lowe, Bruce D.; Rundell, William
4
1995
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
4
2009
Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010
Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W.
4
2000
A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041
Rundell, William; Stecher, Michael
4
1976
The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080
Rundell, William
4
1984
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
4
1990
Determining the initial age distribution for an age structured population. Zbl 0900.92133
Pilant, M.; Rundell, W.
4
1991
The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055
Lowe, Bruce D.; Rundell, William
4
1994
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
4
2008
On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951
Kaltenbacher, Barbara; Rundell, William
4
2022
Determining damping terms in fractional wave equations. Zbl 1491.35462
Kaltenbacher, Barbara; Rundell, William
4
2022
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
4
2018
Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006
Cosner, Chris; Rundell, William
3
1984
An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026
Rundell, William; Sacks, Paul
3
2013
Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110
Pilant, Michael; Rundell, William
2
1989
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
2
1997
The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006
Lowe, Bruce D.; Rundell, William
2
1993
Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions. Zbl 1512.35677
Rundell, William; Yamamoto, Masahiro
2
2023
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
2
2020
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079
DuChateau, Paul; Rundell, William
1
1984
Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047
Cosner, Chris; Rundell, William
1
1983
Recovery of an unknown specific heat by means of overposed data. Zbl 0689.65076
Pilant, Michael; Rundell, William
1
1990
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1
1996
The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033
Rundell, William
1
1976
A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035
Rundell, William; Stecher, Michael
1
1978
Inverse problems for partial differential equations. Abstracts from the workshop held February 19–25, 2012. Zbl 1349.00181
1
2012
On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. Zbl 1527.35494
Kaltenbacher, Barbara; Rundell, William
1
2023
On the determination of a coefficient in a space-fractional equation with operators of Abel type. Zbl 1497.35518
Kaltenbacher, Barbara; Rundell, William
1
2022
Inverse problems for fractional partial differential equations. Zbl 07674929
Kaltenbacher, Barbara; Rundell, William
1
2023
Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions. Zbl 1512.35677
Rundell, William; Yamamoto, Masahiro
2
2023
On the simultaneous reconstruction of the nonlinearity coefficient and the sound speed in the Westervelt equation. Zbl 1527.35494
Kaltenbacher, Barbara; Rundell, William
1
2023
Inverse problems for fractional partial differential equations. Zbl 07674929
Kaltenbacher, Barbara; Rundell, William
1
2023
On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951
Kaltenbacher, Barbara; Rundell, William
4
2022
Determining damping terms in fractional wave equations. Zbl 1491.35462
Kaltenbacher, Barbara; Rundell, William
4
2022
On the determination of a coefficient in a space-fractional equation with operators of Abel type. Zbl 1497.35518
Kaltenbacher, Barbara; Rundell, William
1
2022
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
11
2021
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
7
2021
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
18
2020
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
7
2020
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
7
2020
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
2
2020
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
33
2019
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
25
2019
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
12
2019
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
31
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
4
2018
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
24
2017
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216
Liu, Yikan; Rundell, William; Yamamoto, Masahiro
63
2016
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
162
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
108
2015
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
50
2015
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
9
2015
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
7
2015
Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131
Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua
47
2013
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
37
2013
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
9
2013
An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026
Rundell, William; Sacks, Paul
3
2013
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
100
2012
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
19
2012
Inverse problems for partial differential equations. Abstracts from the workshop held February 19–25, 2012. Zbl 1349.00181
1
2012
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
17
2011
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
4
2009
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
13
2008
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
4
2008
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
72
2005
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
15
2004
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
11
2003
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
37
2001
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
33
2001
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
25
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
30
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
4
2000
Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010
Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W.
4
2000
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
8
1999
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
40
1998
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
60
1997
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
43
1997
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
12
1997
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
6
1997
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
2
1997
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
41
1996
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1
1996
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
5
1995
Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139
Lowe, Bruce D.; Rundell, William
4
1995
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
16
1994
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
11
1994
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
9
1994
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
7
1994
The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055
Lowe, Bruce D.; Rundell, William
4
1994
Determining the death rate for an age-structured population from census data. Zbl 0801.35150
Rundell, William
11
1993
The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006
Lowe, Bruce D.; Rundell, William
2
1993
Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015
Rundell, William; Sacks, Paul E.
76
1992
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
42
1992
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
29
1992
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
18
1991
Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098
Pilant, Michael; Rundell, William
7
1991
Determining the initial age distribution for an age structured population. Zbl 0900.92133
Pilant, M.; Rundell, W.
4
1991
Inverse problems in partial differential equations. Proceedings of a conference which was part of the summer research conferences in the mathematical sciences, Humboldt State University, Arcata, California (USA), July 29 – August 4, 1989. Zbl 0695.00017
5
1990
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
4
1990
Recovery of an unknown specific heat by means of overposed data. Zbl 0689.65076
Pilant, Michael; Rundell, William
1
1990
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
11
1989
An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem. Zbl 0673.65081
Pilant, Michael; Rundell, William
6
1989
Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110
Pilant, Michael; Rundell, William
2
1989
Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083
Pilant, Michael; Rundell, William
11
1988
A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078
Pilant, Michael; Rundell, William
6
1988
The determination of a parabolic equation from initial and final data. Zbl 0644.35093
Rundell, William
47
1987
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
10
1987
An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081
Pilant, Michael; Rundell, William
10
1987
A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016
McLaughlin, Joyce R.; Rundell, William
7
1987
Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085
Pilant, Michael S.; Rundell, William
5
1987
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
25
1986
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
29
1985
The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080
Rundell, William
4
1984
Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006
Cosner, Chris; Rundell, William
3
1984
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079
DuChateau, Paul; Rundell, William
1
1984
An inverse problem for a parabolic partial differential equation. Zbl 0535.35076
Rundell, William
6
1983
Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047
Cosner, Chris; Rundell, William
1
1983
Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045
Rundell, William
94
1980
The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062
Rundell, William
5
1979
The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063
Rundell, William; Stecher, Michael
5
1979
The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067
Rundell, William
10
1978
The Stefan problem for a pseudo-heat equation. Zbl 0396.35061
Rundell, William
7
1978
A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035
Rundell, William; Stecher, Michael
1
1978
Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044
Stecher, Michael; Rundell, William
11
1977
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
7
1977
A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041
Rundell, William; Stecher, Michael
4
1976
The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033
Rundell, William
1
1976
all top 5

Cited by 1,458 Authors

46 Rundell, William
29 Yang, Chuanfu
28 Wang, Hong
27 Wei, Ting
26 Yamamoto, Masahiro
25 Lesnic, Daniel
22 Jin, Bangti
21 Zhou, Zhi
20 Kaltenbacher, Barbara
19 Dehghan Takht Fooladi, Mehdi
18 Kian, Yavar
18 Kress, Rainer
18 Nguyen Huy Tuan
17 Li, Peijun
17 Yang, Liu
17 Zheng, Xiangcheng
16 Deng, Zuicha
16 Guo, Yukun
16 Xu, Xiaochuan
15 Li, Gongsheng
15 Zhang, Zhidong
13 Li, Zhiyuan
13 Liu, Jijun
12 Koyunbakan, Hikmet
12 Liu, Yikan
11 Bondarenko, Natalia P.
11 Slodička, Marián
11 Zhang, Deyue
10 Harbrecht, Helmut
10 Liu, Xiaodong
10 Lyubanova, Anna Sh.
10 Sun, Chunlong
10 Zhang, Bo
9 Bao, Gang
9 Ervin, Vincent J.
9 Lazarov, Raytcho D.
9 Lee, Kuo-Ming
9 Ruan, Zhousheng
9 Sacks, Paul E.
8 Cheng, Xiaoliang
8 Hamdi, Adel
8 Hasanoǧlu, Alemdar
8 Hrizi, Mourad
8 Ji, Xia
8 Jia, Junxiong
8 Jia, Xianzheng
8 Johansson, B. Tomas
8 Liu, Ji-Chuan
8 Lu, Shuai
8 Shieh, Chung-Tsun
8 Sun, Liangliang
8 Yurko, Vjacheslav Anatoljevich
7 Chen, Huanzhen
7 Đinh Nho Hào
7 Gao, Qin
7 Hu, Guanghui
7 Ivanyshyn, Olha
7 Kravchenko, Vladislav V.
7 Li, Jingzhi
7 Liu, Hongyu
7 Lopushans’ka, Galyna Petrovna
7 Wang, Jungang
7 Wang, Yuping
7 Xiong, Xiangtuan
6 Băleanu, Dumitru I.
6 Bockmann, Christine
6 Buterin, Sergey Alexandrovich
6 Cao, Kai
6 Chapko, Roman
6 Colton, David Lem
6 Dong, Heping
6 Isakov, Victor M.
6 Janno, Jaan
6 Malik, Salman A.
6 O’Regan, Donal
6 Pilant, Michael S.
6 Wang, Zewen
6 Xie, Jianqiang
6 Xu, Xiang
6 Yan, Xiongbin
6 Zhang, Haiwen
6 Zhu, Shengfeng
5 Afraites, Lekbir
5 Beretta, Elena
5 Bin-Mohsin, Bandar
5 Dambrine, Marc
5 Feng, Xiaoli
5 Hassine, Maatoug
5 Hettlich, Frank
5 Huang, Xinchi
5 Karniadakis, George Em
5 Leitão, Antonio
5 Li, Jianliang
5 Li, Yulong
5 Liu, Fawang
5 Long, Le Dinh
5 Lopushans’kyi, Andriy Olegovich
5 Lorenzi, Alfredo
5 Nane, Erkan
5 Novotny, Antonio André
...and 1,358 more Authors
all top 5

Cited in 241 Serials

93 Inverse Problems
69 Inverse Problems in Science and Engineering
60 Journal of Inverse and Ill-Posed Problems
55 Journal of Computational and Applied Mathematics
48 Applicable Analysis
43 Journal of Mathematical Analysis and Applications
38 Inverse Problems and Imaging
37 Computers & Mathematics with Applications
37 Journal of Computational Physics
35 Applied Mathematics and Computation
28 Fractional Calculus & Applied Analysis
23 Applied Numerical Mathematics
22 Journal of Differential Equations
21 Journal of Scientific Computing
20 Mathematical Methods in the Applied Sciences
17 Applied Mathematics Letters
17 Applied Mathematical Modelling
15 SIAM Journal on Applied Mathematics
14 International Journal of Computer Mathematics
12 Mathematics and Computers in Simulation
12 Numerical Algorithms
12 SIAM Journal on Mathematical Analysis
12 Advances in Computational Mathematics
11 Boundary Value Problems
10 Journal of Integral Equations and Applications
10 SIAM Journal on Scientific Computing
9 Abstract and Applied Analysis
8 Computer Methods in Applied Mechanics and Engineering
8 Wave Motion
8 Numerische Mathematik
8 Numerical Methods for Partial Differential Equations
8 Computational and Applied Mathematics
8 Mathematical Problems in Engineering
7 Journal of Mathematical Physics
7 SIAM Journal on Numerical Analysis
7 Acta Mathematicae Applicatae Sinica. English Series
7 Engineering Analysis with Boundary Elements
7 Differential Equations
7 Computational Methods in Applied Mathematics
6 Journal of Engineering Mathematics
6 Chaos, Solitons and Fractals
6 Integral Equations and Operator Theory
6 Proceedings of the American Mathematical Society
6 Communications in Nonlinear Science and Numerical Simulation
6 Advances in Difference Equations
6 SIAM Journal on Imaging Sciences
6 Advances in Mathematical Physics
6 AIMS Mathematics
5 Mathematical Notes
5 BIT
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerical Functional Analysis and Optimization
5 Mathematical and Computer Modelling
5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
5 Lobachevskii Journal of Mathematics
5 Journal of Applied Mathematics and Computing
5 Mediterranean Journal of Mathematics
4 Computer Physics Communications
4 International Journal of Engineering Science
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Mathematics of Computation
4 Applied Mathematics and Optimization
4 Results in Mathematics
4 SIAM Journal on Control and Optimization
4 Siberian Mathematical Journal
4 Applications of Mathematics
4 Communications in Partial Differential Equations
4 Applied Mathematics. Series B (English Edition)
4 Journal of Mathematical Sciences (New York)
4 Filomat
4 Taiwanese Journal of Mathematics
4 Communications on Pure and Applied Analysis
4 Analysis and Mathematical Physics
4 Evolution Equations and Control Theory
4 East Asian Journal on Applied Mathematics
4 Journal of Siberian Federal University. Mathematics & Physics
3 Archive for Rational Mechanics and Analysis
3 Journal of Mathematical Biology
3 Letters in Mathematical Physics
3 Ukrainian Mathematical Journal
3 Calcolo
3 Journal of Optimization Theory and Applications
3 Chinese Annals of Mathematics. Series B
3 European Journal of Applied Mathematics
3 Computational Mathematics and Modeling
3 Computational Mathematics and Mathematical Physics
3 Russian Mathematics
3 Integral Transforms and Special Functions
3 Nonlinear Analysis. Real World Applications
3 Mathematical Modelling and Analysis
3 Journal of Applied Mathematics
3 Central European Journal of Mathematics
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
3 Discrete and Continuous Dynamical Systems. Series S
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Advances in Applied Mathematics and Mechanics
3 GEM - International Journal on Geomathematics
3 Mathematical Control and Related Fields
3 Carpathian Mathematical Publications
2 Communications on Pure and Applied Mathematics
...and 141 more Serials
all top 5

Cited in 40 Fields

899 Partial differential equations (35-XX)
621 Numerical analysis (65-XX)
236 Ordinary differential equations (34-XX)
121 Optics, electromagnetic theory (78-XX)
117 Operator theory (47-XX)
106 Calculus of variations and optimal control; optimization (49-XX)
83 Integral equations (45-XX)
81 Real functions (26-XX)
60 Fluid mechanics (76-XX)
53 Mechanics of deformable solids (74-XX)
48 Biology and other natural sciences (92-XX)
42 Classical thermodynamics, heat transfer (80-XX)
26 Special functions (33-XX)
26 Systems theory; control (93-XX)
25 Probability theory and stochastic processes (60-XX)
22 Potential theory (31-XX)
17 Statistics (62-XX)
14 Quantum theory (81-XX)
13 Geophysics (86-XX)
12 Computer science (68-XX)
11 Integral transforms, operational calculus (44-XX)
10 Approximations and expansions (41-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Operations research, mathematical programming (90-XX)
9 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Information and communication theory, circuits (94-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Functions of a complex variable (30-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Combinatorics (05-XX)
3 Dynamical systems and ergodic theory (37-XX)
2 Number theory (11-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Functional analysis (46-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Difference and functional equations (39-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year