Edit Profile (opens in new tab) Rundell, William Co-Author Distance Author ID: rundell.william Published as: Rundell, William; Rundell, W. Documents Indexed: 106 Publications since 1976, including 2 Books and 2 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 36 Co-Authors with 98 Joint Publications 1,430 Co-Co-Authors all top 5 Co-Authors 16 single-authored 16 Kaltenbacher, Barbara 14 Pilant, Michael S. 8 Kress, Rainer 8 Lowe, Bruce D. 7 Sacks, Paul E. 6 Engl, Heinz W. 6 Stecher, Michael 5 Hettlich, Frank 5 Jin, Bangti 4 Colton, David Lem 4 Louis, Alfred Karl 4 Yamamoto, Masahiro 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 Lazarov, Raytcho D. 2 Pasciak, Joseph E. 2 Yin, Hongming 2 Zuo, Lihua 1 Bao, Gang 1 Chadan, Khosrow 1 Ewing, Richard Edward 1 Lassas, Matti J. 1 Liu, Yikan 1 Lu, Shuai 1 Luchko, Yuri 1 McCarthy, C. Maeve 1 Päivärinta, Lassi 1 Scherzer, Otmar 1 Xiang, Xiaoling 1 Xu, Boxi 1 Xu, Xiang all top 5 Serials 23 Inverse Problems 11 Journal of Mathematical Analysis and Applications 6 Applicable Analysis 6 Inverse Problems and Imaging 5 SIAM Journal on Applied Mathematics 5 SIAM Journal on Mathematical Analysis 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 Mathematical Methods in the Applied Sciences 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 Graduate Studies in Mathematics 1 SIAM Monographs on Mathematical Modeling and Computation 1 Journal of Spectral Theory all top 5 Fields 93 Partial differential equations (35-XX) 44 Numerical analysis (65-XX) 16 Ordinary differential equations (34-XX) 10 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) 3 Fluid mechanics (76-XX) 2 Probability theory and stochastic processes (60-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) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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