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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

92 Publications have been cited 1,519 times in 1,079 Documents Cited by Year
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
112
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045
Rundell, William
85
1980
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
75
2012
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
67
2005
Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015
Rundell, William; Sacks, Paul E.
65
1992
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
52
1997
Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216
Liu, Yikan; Rundell, William; Yamamoto, Masahiro
47
2016
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
42
2013
The determination of a parabolic equation from initial and final data. Zbl 0644.35093
Rundell, William
41
1987
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
39
1992
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
38
2015
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
37
1998
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
36
1996
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
35
1997
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
32
2013
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
31
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
29
2000
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
29
2001
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
26
1992
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
24
1985
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
23
2001
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
22
2017
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
20
1986
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
19
2019
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
18
1991
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
18
2018
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
15
2011
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
15
2019
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
14
1994
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
14
2012
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
13
2004
Determining the death rate for an age-structured population from census data. Zbl 0801.35150
Rundell, William
10
1993
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
10
1994
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
10
1989
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
10
2003
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
Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083
Pilant, Michael; Rundell, William
10
1988
The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067
Rundell, William
10
1978
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
10
2008
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
9
1997
Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044
Stecher, Michael; Rundell, William
9
1977
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
9
2020
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
8
1994
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
7
1994
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
7
1999
Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098
Pilant, Michael; Rundell, William
7
1991
A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016
McLaughlin, Joyce R.; Rundell, William
7
1987
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
7
2019
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
6
2015
A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078
Pilant, Michael; Rundell, William
6
1988
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
6
1977
The Stefan problem for a pseudo-heat equation. Zbl 0396.35061
Rundell, William
6
1978
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
6
2013
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
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
5
1989
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
5
2015
The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055
Lowe, Bruce D.; Rundell, William
4
1994
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
An inverse problem for a parabolic partial differential equation. Zbl 0535.35076
Rundell, William
4
1983
The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080
Rundell, William
4
1984
Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085
Pilant, Michael S.; Rundell, William
4
1987
A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041
Rundell, William; Stecher, Michael
4
1976
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
4
2020
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
3
2020
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
3
2018
Determining the initial age distribution for an age structured population. Zbl 0900.92133
Pilant, M.; Rundell, W.
3
1991
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
3
2009
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
3
1990
An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026
Rundell, William; Sacks, Paul
3
2013
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
3
2021
The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006
Lowe, Bruce D.; Rundell, William
2
1993
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
2
1997
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
2
1990
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
2
1995
Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006
Cosner, Chris; Rundell, William
2
1984
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.
2
2000
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
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
1
2008
Inverse problems for partial differential equations. Abstracts from the workshop held February 19–25, 2012. Zbl 1349.00181
1
2012
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1
1996
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
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
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
1
2020
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
1
2021
On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951
Kaltenbacher, Barbara; Rundell, William
1
2022
On an inverse problem of nonlinear imaging with fractional damping. Zbl 1479.35951
Kaltenbacher, Barbara; Rundell, William
1
2022
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
3
2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
1
2021
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
9
2020
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
4
2020
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
3
2020
On the simultaneous recovery of the conductivity and the nonlinear reaction term in a parabolic equation. Zbl 1447.35381
Kaltenbacher, Barbara; Rundell, William
1
2020
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
19
2019
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
15
2019
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
7
2019
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
18
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
3
2018
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
22
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
47
2016
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
112
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
97
2015
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
38
2015
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
6
2015
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
5
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
42
2013
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
32
2013
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
6
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
75
2012
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
14
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
15
2011
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
3
2009
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
10
2008
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
1
2008
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
67
2005
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
13
2004
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
10
2003
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
31
2001
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
29
2001
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
23
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
29
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.
2
2000
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
7
1999
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
37
1998
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
52
1997
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
35
1997
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
9
1997
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
2
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
36
1996
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1
1996
Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139
Lowe, Bruce D.; Rundell, William
4
1995
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
2
1995
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
14
1994
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
10
1994
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
8
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
10
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.
65
1992
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
39
1992
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
26
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.
3
1991
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
3
1990
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
2
1990
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
10
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
5
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
10
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
41
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
4
1987
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
20
1986
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
24
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
2
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
4
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
85
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
6
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
9
1977
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
6
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 1,190 Authors

41 Rundell, William
26 Yang, Chuanfu
25 Wang, Hong
24 Lesnic, Daniel
20 Yamamoto, Masahiro
18 Dehghan Takht Fooladi, Mehdi
18 Jin, Bangti
18 Kress, Rainer
18 Wei, Ting
15 Guo, Yukun
15 Li, Peijun
15 Nguyen Huy Tuan
15 Yang, Liu
15 Zhou, Zhi
14 Deng, Zuicha
14 Kaltenbacher, Barbara
14 Li, Gongsheng
14 Xu, Xiaochuan
14 Zheng, Xiangcheng
13 Liu, Jijun
11 Koyunbakan, Hikmet
11 Slodička, Marián
10 Kian, Yavar
10 Lyubanova, Anna Sh.
10 Zhang, Deyue
10 Zhang, Zhidong
9 Bao, Gang
9 Harbrecht, Helmut
9 Lee, Kuo-Ming
9 Ruan, Zhousheng
9 Sacks, Paul E.
9 Sun, Chunlong
8 Bondarenko, Natalia P.
8 Ervin, Vincent J.
8 Hamdi, Adel
8 Hasanoǧlu, Alemdar
8 Jia, Junxiong
8 Johansson, B. Tomas
8 Lazarov, Raytcho D.
8 Liu, Ji-Chuan
8 Yurko, Vjacheslav Anatoljevich
8 Zhang, Bo
7 Chen, Huanzhen
7 Cheng, Xiaoliang
7 Đinh Nho Hào
7 Hu, Guanghui
7 Ivanyshyn, Olha
7 Jia, Xianzheng
7 Li, Jingzhi
7 Li, Zhiyuan
7 Liu, Xiaodong
7 Lu, Shuai
6 Bockmann, Christine
6 Cao, Kai
6 Chapko, Roman
6 Colton, David Lem
6 Gao, Qin
6 Hrizi, Mourad
6 Isakov, Victor M.
6 Liu, Hongyu
6 Liu, Yikan
6 Lopushans’ka, Galyna Petrovna
6 O’Regan, Donal
6 Pilant, Michael S.
6 Wang, Yuping
6 Xiong, Xiangtuan
6 Zhang, Haiwen
5 Băleanu, Dumitru I.
5 Bin-Mohsin, Bandar
5 Buterin, Sergey Alexandrovich
5 Janno, Jaan
5 Ji, Xia
5 Karniadakis, George Em
5 Li, Jianliang
5 Lorenzi, Alfredo
5 Malik, Salman A.
5 Ozbilge, Ebru
5 Shieh, Chung-Tsun
5 Šišková, Katarína
5 Stynes, Martin
5 Tatar, Salih
5 Wang, Jungang
5 Wang, Zewen
5 Wei, Guangsheng
5 Xie, Jianqiang
5 Xu, Xiang
5 Yan, Wenjing
5 Yılmaz, Emrah Sercan
5 Yu, Jianning
5 Zhang, Zhiyue
5 Zhou, Yong
4 Allaire, Grégoire
4 Aziz, Sara
4 Beretta, Elena
4 Beshtokov, Murat Khamidbievich
4 Boumenir, Amin A.
4 Cheng, Jin
4 Chi, Guangsheng
4 Dambrine, Marc
4 Dong, Heping
...and 1,090 more Authors
all top 5

Cited in 207 Serials

67 Inverse Problems in Science and Engineering
66 Inverse Problems
50 Journal of Computational and Applied Mathematics
44 Applicable Analysis
44 Journal of Inverse and Ill-Posed Problems
42 Journal of Mathematical Analysis and Applications
34 Applied Mathematics and Computation
32 Journal of Computational Physics
30 Computers & Mathematics with Applications
26 Inverse Problems and Imaging
23 Fractional Calculus & Applied Analysis
21 Applied Numerical Mathematics
19 Journal of Differential Equations
18 Journal of Scientific Computing
16 Applied Mathematical Modelling
15 Applied Mathematics Letters
13 International Journal of Computer Mathematics
12 SIAM Journal on Applied Mathematics
11 Mathematics and Computers in Simulation
10 Journal of Integral Equations and Applications
10 Numerical Algorithms
10 Advances in Computational Mathematics
9 Mathematical Methods in the Applied Sciences
8 Wave Motion
8 SIAM Journal on Mathematical Analysis
8 SIAM Journal on Scientific Computing
8 Mathematical Problems in Engineering
8 Abstract and Applied Analysis
8 Boundary Value Problems
7 Journal of Mathematical Physics
7 Numerische Mathematik
7 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Engineering Mathematics
6 Integral Equations and Operator Theory
6 Proceedings of the American Mathematical Society
6 SIAM Journal on Numerical Analysis
6 Engineering Analysis with Boundary Elements
6 Differential Equations
6 Advances in Difference Equations
6 Advances in Mathematical Physics
6 AIMS Mathematics
5 Computer Methods in Applied Mechanics and Engineering
5 Mathematical Notes
5 Chaos, Solitons and Fractals
5 BIT
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Numerical Functional Analysis and Optimization
5 Numerical Methods for Partial Differential Equations
5 Mathematical and Computer Modelling
5 Computational and Applied Mathematics
5 Computational Methods in Applied Mathematics
5 Mediterranean Journal of Mathematics
4 International Journal of Engineering Science
4 Mathematics of Computation
4 Applied Mathematics and Optimization
4 SIAM Journal on Control and Optimization
4 Siberian Mathematical Journal
4 Applications of Mathematics
4 Communications in Partial Differential Equations
4 Filomat
4 Communications in Nonlinear Science and Numerical Simulation
4 Lobachevskii Journal of Mathematics
4 Journal of Siberian Federal University. Mathematics & Physics
3 Journal of Mathematical Biology
3 Letters in Mathematical Physics
3 Journal of Optimization Theory and Applications
3 Results in Mathematics
3 Chinese Annals of Mathematics. Series B
3 European Journal of Applied Mathematics
3 Computational Mathematics and Modeling
3 Russian Mathematics
3 Applied Mathematics. Series B (English Edition)
3 Integral Transforms and Special Functions
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Mathematical Modelling and Analysis
3 Journal of Applied Mathematics
3 Journal of Applied Mathematics and Computing
3 Central European Journal of Mathematics
3 SIAM Journal on Imaging Sciences
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Advances in Applied Mathematics and Mechanics
3 GEM - International Journal on Geomathematics
3 Analysis and Mathematical Physics
3 Evolution Equations and Control Theory
3 Carpathian Mathematical Publications
3 East Asian Journal on Applied Mathematics
2 Archive for Rational Mechanics and Analysis
2 Computer Physics Communications
2 Communications on Pure and Applied Mathematics
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Quaestiones Mathematicae
2 Transactions of the American Mathematical Society
2 Physica D
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Computational Mathematics and Mathematical Physics
2 Computational Optimization and Applications
2 Journal of Mathematical Sciences (New York)
2 Taiwanese Journal of Mathematics
...and 107 more Serials
all top 5

Cited in 40 Fields

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

Citations by Year