## Rundell, William

Compute Distance To:
 Author ID: rundell.william Published as: Rundell, William; Rundell, W.
 Documents Indexed: 97 Publications since 1976, including 1 Book 8 Contributions as Editor Co-Authors: 36 Co-Authors with 89 Joint Publications 1,392 Co-Co-Authors
all top 5

### Co-Authors

 16 single-authored 14 Pilant, Michael S. 10 Kaltenbacher, Barbara 8 Kress, Rainer 8 Lowe, Bruce D. 7 Sacks, Paul E. 6 Engl, Heinz W. 6 Stecher, Michael 5 Hettlich, Frank 4 Colton, David Lem 4 Jin, Bangti 4 Louis, Alfred Karl 3 Hanke-Bourgeois, Martin 3 McLaughlin, Joyce Rogers 3 Zhang, Zhidong 2 Cannon, John Rozier 2 Cosner, Chris 2 DuChateau, Paul C. 2 Kirsch, Andreas 2 Yamamoto, Masahiro 2 Yin, Hongming 2 Zuo, Lihua 1 Bao, Gang 1 Chadan, Khosrow 1 Ewing, Richard Edward 1 Lassas, Matti J. 1 Lazarov, Raytcho D. 1 Liu, Yikan 1 Lu, Shuai 1 Luchko, Yuri 1 McCarthy, C. Maeve 1 Päivärinta, Lassi 1 Pasciak, Joseph E. 1 Scherzer, Otmar 1 Xiang, Xiaoling 1 Xu, Boxi 1 Xu, Xiang
all top 5

### Serials

 21 Inverse Problems 10 Journal of Mathematical Analysis and Applications 5 Applicable Analysis 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 5 Inverse Problems and Imaging 4 Proceedings of the American Mathematical Society 3 Mathematics of Computation 3 Journal of Computational and Applied Mathematics 3 Journal of Differential Equations 3 Numerical Methods for Partial Differential Equations 3 Communications in Partial Differential Equations 2 Journal of Computational Physics 2 SIAM Journal on Numerical Analysis 2 Journal of Integral Equations and Applications 2 Mathematical Population Studies 2 Oberwolfach Reports 1 Computers & Mathematics with Applications 1 Houston Journal of Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Indiana University Mathematics Journal 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Fractional Calculus & Applied Analysis 1 SIAM Monographs on Mathematical Modeling and Computation 1 Journal of Spectral Theory
all top 5

### Fields

 85 Partial differential equations (35-XX) 43 Numerical analysis (65-XX) 16 Ordinary differential equations (34-XX) 9 Optics, electromagnetic theory (78-XX) 8 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Biology and other natural sciences (92-XX) 3 Potential theory (31-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,455 times in 1,038 Documents Cited by Year
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
2015
Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045
Rundell, William
1980
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
2012
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
2005
Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015
Rundell, William; Sacks, Paul E.
1992
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
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
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
2013
The determination of a parabolic equation from initial and final data. Zbl 0644.35093
Rundell, William
1987
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
2015
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
1992
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
1998
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
1997
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
1996
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
2013
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
2000
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
2001
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
2001
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
1992
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
1985
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
2001
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
1986
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
1991
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
2017
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
2018
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
2019
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
1994
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
2012
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
2011
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
2004
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
1989
Determining the death rate for an age-structured population from census data. Zbl 0801.35150
Rundell, William
1993
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
1994
An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081
Pilant, Michael; Rundell, William
1987
Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083
Pilant, Michael; Rundell, William
1988
The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067
Rundell, William
1978
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
1997
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
2003
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
2008
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
1987
Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044
Stecher, Michael; Rundell, William
1977
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
1994
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
1999
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
1994
Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098
Pilant, Michael; Rundell, William
1991
A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016
McLaughlin, Joyce R.; Rundell, William
1987
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
2020
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
2013
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
2019
The Stefan problem for a pseudo-heat equation. Zbl 0396.35061
Rundell, William
1978
A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078
Pilant, Michael; Rundell, William
1988
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
1977
The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062
Rundell, William
1979
The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063
Rundell, William; Stecher, Michael
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
1989
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
2015
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
2015
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
2020
Surveys on solution methods for inverse problems. Zbl 0948.00011
2000
An inverse problem for a parabolic partial differential equation. Zbl 0535.35076
Rundell, William
1983
The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080
Rundell, William
1984
The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055
Lowe, Bruce D.; Rundell, William
1994
Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085
Pilant, Michael S.; Rundell, William
1987
Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139
Lowe, Bruce D.; Rundell, William
1995
A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041
Rundell, William; Stecher, Michael
1976
Determining the initial age distribution for an age structured population. Zbl 0900.92133
Pilant, M.; Rundell, W.
1991
An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026
Rundell, William; Sacks, Paul
2013
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
2018
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
2009
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
1990
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
2020
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
2021
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
1997
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
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
1990
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.
2000
Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006
Cosner, Chris; Rundell, William
1984
The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006
Lowe, Bruce D.; Rundell, William
1993
Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110
Pilant, Michael; Rundell, William
1989
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
1995
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1996
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079
DuChateau, Paul; Rundell, William
1984
Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047
Cosner, Chris; Rundell, William
1983
A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035
Rundell, William; Stecher, Michael
1978
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
2008
The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033
Rundell, William
1976
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
2021
Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396
Kaltenbacher, Barbara; Rundell, William
2021
On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453
Kaltenbacher, Barbara; Rundell, William
2021
The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055
Kaltenbacher, Barbara; Rundell, William
2020
Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358
Kaltenbacher, Barbara; Rundell, William
2020
On the identification of source term in the heat equation from sparse data. Zbl 1433.65198
Rundell, William; Zhang, Zhidong
2020
Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285
Kaltenbacher, Barbara; Rundell, William
2019
On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233
Kaltenbacher, Barbara; Rundell, William
2019
On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359
Kaltenbacher, Barbara; Rundell, William
2019
Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333
Rundell, William; Zhang, Zhidong
2018
Inverse scattering for shape and impedance revisited. Zbl 1402.35091
Kress, Rainer; Rundell, William
2018
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371
Rundell, W.; Zhang, Z.
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
2016
A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027
Jin, Bangti; Rundell, William
2015
Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
2015
A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166
Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi
2015
Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022
Rundell, William; Sacks, Paul
2015
A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006
Kress, Rainer; Rundell, William
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
2013
The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412
Rundell, William; Xu, Xiang; Zuo, Lihua
2013
Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004
Kress, Rainer; Rundell, William
2013
An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026
Rundell, William; Sacks, Paul
2013
An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203
Jin, Bangti; Rundell, William
2012
An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134
Jin, Bangti; Rundell, William
2012
On rational approximation methods for inverse source problems. Zbl 1215.35166
Hanke, Martin; Rundell, William
2011
Recovering an obstacle using integral equations. Zbl 1187.35284
Rundell, William
2009
Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083
Rundell, William
2008
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493
Rundell, William
2008
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139
Kress, Rainer; Rundell, William
2005
Numerical technique for the inverse resonance problem. Zbl 1055.65086
Rundell, William; Sacks, Paul
2004
Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008
Maeve McCarthy, C.; Rundell, William
2003
Inverse scattering for shape and impedance. Zbl 0985.35109
Kress, Rainer; Rundell, William
2001
Identification of a discontinuous source in the heat equation. Zbl 0986.35129
Hettlich, F.; Rundell, W.
2001
Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129
Rundell, William; Sacks, Paul E.
2001
A second degree method for nonlinear inverse problems. Zbl 0946.35115
Hettlich, F.; Rundell, W.
2000
Surveys on solution methods for inverse problems. Zbl 0948.00011
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.
2000
Inverse obstacle scattering using reduced data. Zbl 1050.35021
Kress, Rainer; Rundell, William
1999
The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126
Hettlich, Frank; Rundell, William
1998
An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121
Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William
1997
Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105
Kress, Rainer; Rundell, William
1997
Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135
Hettlich, Frank; Rundell, William
1997
Inverse problems in geophysical applications. Proceedings of the GAMM-SIAM conference held in Yosemite, CA, USA, December 16–19, 1995. Zbl 0857.00035
1997
Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041
1997
Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134
Hettlich, Frank; Rundell, William
1996
The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132
Lowe, Bruce D.; Rundell, William
1996
Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139
Lowe, Bruce D.; Rundell, William
1995
Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025
1995
A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172
Kress, Rainer; Rundell, William
1994
An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015
Lowe, Bruce D.; Rundell, William
1994
On the determination of potentials without bound state data. Zbl 0823.65136
Rundell, William; Sacks, Paul
1994
A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021
Engl, Heinz W.; Rundell, William; Scherzer, Otmar
1994
The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055
Lowe, Bruce D.; Rundell, William
1994
Determining the death rate for an age-structured population from census data. Zbl 0801.35150
Rundell, William
1993
The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006
Lowe, Bruce D.; Rundell, William
1993
Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015
Rundell, William; Sacks, Paul E.
1992
The reconstruction of Sturm-Liouville operators. Zbl 0762.34003
Rundell, William; Sacks, Paul E.
1992
The recovery of potentials from finite spectral data. Zbl 0763.34005
Lowe, Bruce D.; Pilant, Michael; Rundell, William
1992
Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162
Cannon, John R.; Rundell, William
1991
Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098
Pilant, Michael; Rundell, William
1991
Determining the initial age distribution for an age structured population. Zbl 0900.92133
Pilant, M.; Rundell, W.
1991
A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150
Rundell, William; Yin, Hong-Ming
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
1990
Determining the birth function for an age structured population. Zbl 0900.92129
Rundell, William
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
1989
Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110
Pilant, Michael; Rundell, William
1989
Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083
Pilant, Michael; Rundell, William
1988
A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078
Pilant, Michael; Rundell, William
1988
The determination of a parabolic equation from initial and final data. Zbl 0644.35093
Rundell, William
1987
An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081
Pilant, Michael; Rundell, William
1987
An inverse problem for an elliptic partial differential equation. Zbl 0638.35081
Cannon, John R.; Rundell, William
1987
A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016
McLaughlin, Joyce R.; Rundell, William
1987
Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085
Pilant, Michael S.; Rundell, William
1987
An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057
Pilant, Michael S.; Rundell, William
1986
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097
DuChateau, Paul; Rundell, William
1985
The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080
Rundell, William
1984
Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006
Cosner, Chris; Rundell, William
1984
Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079
DuChateau, Paul; Rundell, William
1984
An inverse problem for a parabolic partial differential equation. Zbl 0535.35076
Rundell, William
1983
Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047
Cosner, Chris; Rundell, William
1983
Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045
Rundell, William
1980
The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062
Rundell, William
1979
The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063
Rundell, William; Stecher, Michael
1979
The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067
Rundell, William
1978
The Stefan problem for a pseudo-heat equation. Zbl 0396.35061
Rundell, William
1978
A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035
Rundell, William; Stecher, Michael
1978
Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044
Stecher, Michael; Rundell, William
1977
Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055
Rundell, William; Stecher, Michael
1977
A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041
Rundell, William; Stecher, Michael
1976
The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033
Rundell, William
1976
all top 5

### Cited by 1,144 Authors

 40 Rundell, William 26 Yang, Chuanfu 25 Wang, Hong 24 Lesnic, Daniel 19 Yamamoto, Masahiro 18 Dehghan Takht Fooladi, Mehdi 18 Kress, Rainer 18 Wei, Ting 17 Jin, Bangti 15 Guo, Yukun 15 Li, Peijun 15 Nguyen Huy Tuan 15 Zhou, Zhi 14 Li, Gongsheng 14 Yang, Liu 14 Zheng, Xiangcheng 13 Deng, Zuicha 13 Liu, Jijun 13 Xu, Xiaochuan 12 Kaltenbacher, Barbara 11 Koyunbakan, Hikmet 11 Slodička, Marián 10 Lyubanova, Anna Sh. 10 Zhang, Zhidong 9 Bao, Gang 9 Harbrecht, Helmut 9 Lee, Kuo-Ming 9 Ruan, Zhousheng 9 Sacks, Paul E. 9 Sun, Chunlong 9 Zhang, Deyue 8 Ervin, Vincent J. 8 Hamdi, Adel 8 Jia, Junxiong 8 Johansson, B. Tomas 8 Kian, Yavar 8 Lazarov, Raytcho D. 8 Yurko, Vjacheslav Anatoljevich 8 Zhang, Bo 7 Bondarenko, Natalia P. 7 Chen, Huanzhen 7 Cheng, Xiaoliang 7 Đinh Nho Hào 7 Hasanoǧlu, Alemdar 7 Hu, Guanghui 7 Ivanyshyn, Olha 7 Jia, Xianzheng 7 Li, Jingzhi 7 Li, Zhiyuan 7 Liu, Ji-Chuan 7 Liu, Xiaodong 7 Lu, Shuai 6 Chapko, Roman 6 Colton, David Lem 6 Gao, Qin 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 Zhang, Haiwen 5 Bin-Mohsin, Bandar 5 Bockmann, Christine 5 Buterin, Sergey Alexandrovich 5 Cao, Kai 5 Janno, Jaan 5 Ji, Xia 5 Karniadakis, George Em 5 Lorenzi, Alfredo 5 Malik, Salman A. 5 Ozbilge, Ebru 5 Shieh, Chung-Tsun 5 Šišková, Katarína 5 Stynes, Martin 5 Wang, Jungang 5 Wang, Zewen 5 Wei, Guangsheng 5 Xie, Jianqiang 5 Xiong, Xiangtuan 5 Yan, Wenjing 5 Yu, Jianning 5 Zhang, Zhiyue 4 Allaire, Grégoire 4 Aziz, Sara 4 Băleanu, Dumitru I. 4 Beretta, Elena 4 Boumenir, Amin A. 4 Cheng, Jin 4 Chi, Guangsheng 4 Dambrine, Marc 4 Feng, Lixin 4 Gilbert, Robert Pertsch 4 Hrizi, Mourad 4 Jia, Jinhong 4 Kammanee, Athassawat 4 Le Louër, Frédérique 4 Leitão, Antonio 4 Li, Jianliang ...and 1,044 more Authors
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### Cited in 198 Serials

 67 Inverse Problems in Science and Engineering 66 Inverse Problems 47 Journal of Computational and Applied Mathematics 42 Applicable Analysis 41 Journal of Mathematical Analysis and Applications 41 Journal of Inverse and Ill-Posed Problems 33 Applied Mathematics and Computation 31 Journal of Computational Physics 30 Computers & Mathematics with Applications 23 Fractional Calculus & Applied Analysis 23 Inverse Problems and Imaging 21 Applied Numerical Mathematics 19 Journal of Differential Equations 17 Journal of Scientific Computing 16 Applied Mathematical Modelling 15 Applied Mathematics Letters 13 International Journal of Computer Mathematics 11 Mathematics and Computers in Simulation 11 SIAM Journal on Applied Mathematics 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 5 Computer Methods in Applied Mechanics and Engineering 5 Mathematical Notes 5 BIT 5 Numerical Functional Analysis and Optimization 5 Numerical Methods for Partial Differential Equations 5 Mathematical and Computer Modelling 5 Computational Methods in Applied Mathematics 5 Mediterranean Journal of Mathematics 4 International Journal of Engineering Science 4 Mathematics of Computation 4 Chaos, Solitons and Fractals 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Control and Optimization 4 Siberian Mathematical Journal 4 Applications of Mathematics 4 Communications in Partial Differential Equations 4 Computational and Applied Mathematics 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Siberian Federal University. Mathematics & Physics 3 Journal of Mathematical Biology 3 Letters in Mathematical Physics 3 Applied Mathematics and Optimization 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 Lobachevskii Journal of Mathematics 3 Mathematical Modelling and Analysis 3 Journal of Applied Mathematics 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 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 Filomat 2 Taiwanese Journal of Mathematics 2 Matematychni Studiï 2 Optimization and Engineering 2 Annales Henri Poincaré 2 The ANZIAM Journal ...and 98 more Serials
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### Cited in 40 Fields

 696 Partial differential equations (35-XX) 512 Numerical analysis (65-XX) 198 Ordinary differential equations (34-XX) 100 Optics, electromagnetic theory (78-XX) 91 Operator theory (47-XX) 87 Calculus of variations and optimal control; optimization (49-XX) 70 Integral equations (45-XX) 53 Real functions (26-XX) 51 Fluid mechanics (76-XX) 41 Biology and other natural sciences (92-XX) 40 Mechanics of deformable solids (74-XX) 36 Classical thermodynamics, heat transfer (80-XX) 22 Systems theory; control (93-XX) 19 Potential theory (31-XX) 19 Probability theory and stochastic processes (60-XX) 16 Statistics (62-XX) 15 Special functions (33-XX) 13 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)