Edit Profile (opens in new tab) Rundell, William Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications 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 1323.34027Jin, Bangti; Rundell, William 106 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 96 2015 Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045Rundell, William 82 1980 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 73 2012 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 65 2005 Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015Rundell, William; Sacks, Paul E. 63 1992 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 51 1997 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216Liu, Yikan; Rundell, William; Yamamoto, Masahiro 44 2016 Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua 41 2013 The determination of a parabolic equation from initial and final data. Zbl 0644.35093Rundell, William 39 1987 A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi 38 2015 The reconstruction of Sturm-Liouville operators. Zbl 0762.34003Rundell, William; Sacks, Paul E. 37 1992 The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126Hettlich, Frank; Rundell, William 36 1998 Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105Kress, Rainer; Rundell, William 33 1997 Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134Hettlich, Frank; Rundell, William 33 1996 The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412Rundell, William; Xu, Xiang; Zuo, Lihua 30 2013 A second degree method for nonlinear inverse problems. Zbl 0946.35115Hettlich, F.; Rundell, W. 29 2000 Inverse scattering for shape and impedance. Zbl 0985.35109Kress, Rainer; Rundell, William 29 2001 Identification of a discontinuous source in the heat equation. Zbl 0986.35129Hettlich, F.; Rundell, W. 28 2001 The recovery of potentials from finite spectral data. Zbl 0763.34005Lowe, Bruce D.; Pilant, Michael; Rundell, William 25 1992 Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097DuChateau, Paul; Rundell, William 24 1985 Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129Rundell, William; Sacks, Paul E. 22 2001 An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057Pilant, Michael S.; Rundell, William 19 1986 Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285Kaltenbacher, Barbara; Rundell, William 18 2019 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162Cannon, John R.; Rundell, William 18 1991 Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371Rundell, W.; Zhang, Z. 18 2017 Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333Rundell, William; Zhang, Zhidong 15 2018 On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233Kaltenbacher, Barbara; Rundell, William 14 2019 A quasi-Newton method in inverse obstacle scattering. Zbl 0823.35172Kress, Rainer; Rundell, William 14 1994 An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134Jin, Bangti; Rundell, William 13 2012 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 12 2011 Numerical technique for the inverse resonance problem. Zbl 1055.65086Rundell, William; Sacks, Paul 11 2004 Determining the birth function for an age structured population. Zbl 0900.92129Rundell, William 10 1989 Determining the death rate for an age-structured population from census data. Zbl 0801.35150Rundell, William 10 1993 An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015Lowe, Bruce D.; Rundell, William 10 1994 An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081Pilant, Michael; Rundell, William 10 1987 Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083Pilant, Michael; Rundell, William 10 1988 The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067Rundell, William 10 1978 Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135Hettlich, Frank; Rundell, William 9 1997 Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008Maeve McCarthy, C.; Rundell, William 9 2003 Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083Rundell, William 9 2008 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081Cannon, John R.; Rundell, William 9 1987 Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044Stecher, Michael; Rundell, William 9 1977 On the determination of potentials without bound state data. Zbl 0823.65136Rundell, William; Sacks, Paul 8 1994 Inverse obstacle scattering using reduced data. Zbl 1050.35021Kress, Rainer; Rundell, William 7 1999 A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021Engl, Heinz W.; Rundell, William; Scherzer, Otmar 7 1994 Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098Pilant, Michael; Rundell, William 7 1991 A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016McLaughlin, Joyce R.; Rundell, William 7 1987 The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055Kaltenbacher, Barbara; Rundell, William 7 2020 Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004Kress, Rainer; Rundell, William 6 2013 On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359Kaltenbacher, Barbara; Rundell, William 6 2019 The Stefan problem for a pseudo-heat equation. Zbl 0396.35061Rundell, William 6 1978 A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078Pilant, Michael; Rundell, William 6 1988 Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055Rundell, William; Stecher, Michael 6 1977 The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062Rundell, William 5 1979 The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063Rundell, William; Stecher, Michael 5 1979 An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem. Zbl 0673.65081Pilant, Michael; Rundell, William 5 1989 Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022Rundell, William; Sacks, Paul 5 2015 A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006Kress, Rainer; Rundell, William 5 2015 Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358Kaltenbacher, Barbara; Rundell, William 4 2020 Surveys on solution methods for inverse problems. Zbl 0948.00011 4 2000 An inverse problem for a parabolic partial differential equation. Zbl 0535.35076Rundell, William 4 1983 The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080Rundell, William 4 1984 The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055Lowe, Bruce D.; Rundell, William 4 1994 Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085Pilant, Michael S.; Rundell, William 4 1987 Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139Lowe, Bruce D.; Rundell, William 4 1995 A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041Rundell, William; Stecher, Michael 4 1976 Determining the initial age distribution for an age structured population. Zbl 0900.92133Pilant, M.; Rundell, W. 3 1991 An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026Rundell, William; Sacks, Paul 3 2013 Inverse scattering for shape and impedance revisited. Zbl 1402.35091Kress, Rainer; Rundell, William 3 2018 Recovering an obstacle using integral equations. Zbl 1187.35284Rundell, William 3 2009 A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150Rundell, William; Yin, Hong-Ming 3 1990 On the identification of source term in the heat equation from sparse data. Zbl 1433.65198Rundell, William; Zhang, Zhidong 3 2020 Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396Kaltenbacher, Barbara; Rundell, William 3 2021 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 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 Introduction to: Surveys on solution methods for inverse problems. Zbl 0963.01010Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W. 2 2000 Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006Cosner, Chris; Rundell, William 2 1984 The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006Lowe, Bruce D.; Rundell, William 2 1993 Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110Pilant, Michael; Rundell, William 2 1989 Inverse problems in diffusion processes. Proceedings of the GAMM-SIAM symposium, St. Wolfgang, Austria, June 27-July 1, 1994. Zbl 0829.00025 2 1995 The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132Lowe, Bruce D.; Rundell, William 1 1996 Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079DuChateau, Paul; Rundell, William 1 1984 Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047Cosner, Chris; Rundell, William 1 1983 A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035Rundell, William; Stecher, Michael 1 1978 Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493Rundell, William 1 2008 The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033Rundell, William 1 1976 On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453Kaltenbacher, Barbara; Rundell, William 1 2021 Some inverse problems for wave equations with fractional derivative attenuation. Zbl 1459.35396Kaltenbacher, Barbara; Rundell, William 3 2021 On the identification of the nonlinearity parameter in the Westervelt equation from boundary measurements. Zbl 1472.35453Kaltenbacher, Barbara; Rundell, William 1 2021 The inverse problem of reconstructing reaction-diffusion systems. Zbl 1444.65055Kaltenbacher, Barbara; Rundell, William 7 2020 Recovery of multiple coefficients in a reaction-diffusion equation. Zbl 1427.35358Kaltenbacher, Barbara; Rundell, William 4 2020 On the identification of source term in the heat equation from sparse data. Zbl 1433.65198Rundell, William; Zhang, Zhidong 3 2020 Regularization of a backwards parabolic equation by fractional operators. Zbl 1410.35285Kaltenbacher, Barbara; Rundell, William 18 2019 On an inverse potential problem for a fractional reaction-diffusion equation. Zbl 1461.35233Kaltenbacher, Barbara; Rundell, William 14 2019 On the identification of a nonlinear term in a reaction-diffusion equation. Zbl 1427.35359Kaltenbacher, Barbara; Rundell, William 6 2019 Recovering an unknown source in a fractional diffusion problem. Zbl 1392.35333Rundell, William; Zhang, Zhidong 15 2018 Inverse scattering for shape and impedance revisited. Zbl 1402.35091Kress, Rainer; Rundell, William 3 2018 Fractional diffusion: recovering the distributed fractional derivative from overposed data. Zbl 1372.35371Rundell, W.; Zhang, Z. 18 2017 Strong maximum principle for fractional diffusion equations and an application to an inverse source problem. Zbl 1346.35216Liu, Yikan; Rundell, William; Yamamoto, Masahiro 44 2016 A tutorial on inverse problems for anomalous diffusion processes. Zbl 1323.34027Jin, Bangti; Rundell, William 106 2015 Variational formulation of problems involving fractional order differential operators. Zbl 1321.65127Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William 96 2015 A recursive algorithm for multifrequency acoustic inverse source problems. Zbl 1321.65166Bao, Gang; Lu, Shuai; Rundell, William; Xu, Boxi 38 2015 Inverse eigenvalue problem for a simple star graph. Zbl 1325.34022Rundell, William; Sacks, Paul 5 2015 A nonlinear integral equation and an iterative algorithm for an inverse source problem. Zbl 1323.31006Kress, Rainer; Rundell, William 5 2015 Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Zbl 1273.65131Luchko, Yuri; Rundell, William; Yamamoto, Masahiro; Zuo, Lihua 41 2013 The determination of an unknown boundary condition in a fractional diffusion equation. Zbl 1302.35412Rundell, William; Xu, Xiang; Zuo, Lihua 30 2013 Reconstruction of extended sources for the Helmholtz equation. Zbl 1275.78004Kress, Rainer; Rundell, William 6 2013 An inverse eigenvalue problem for a vibrating string with two Dirichlet spectra. Zbl 1286.34026Rundell, William; Sacks, Paul 3 2013 An inverse problem for a one-dimensional time-fractional diffusion problem. Zbl 1247.35203Jin, Bangti; Rundell, William 73 2012 An inverse Sturm-Liouville problem with a fractional derivative. Zbl 1245.65134Jin, Bangti; Rundell, William 13 2012 On rational approximation methods for inverse source problems. Zbl 1215.35166Hanke, Martin; Rundell, William 12 2011 Recovering an obstacle using integral equations. Zbl 1187.35284Rundell, William 3 2009 Recovering an obstacle and its impedance from Cauchy data. Zbl 1153.35083Rundell, William 9 2008 Recovering an obstacle and a nonlinear conductivity from Cauchy data. Zbl 1155.35493Rundell, William 1 2008 Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Zbl 1086.35139Kress, Rainer; Rundell, William 65 2005 Numerical technique for the inverse resonance problem. Zbl 1055.65086Rundell, William; Sacks, Paul 11 2004 Eigenparameter dependent inverse Sturm-Liouville problems. Zbl 1031.34008Maeve McCarthy, C.; Rundell, William 9 2003 Inverse scattering for shape and impedance. Zbl 0985.35109Kress, Rainer; Rundell, William 29 2001 Identification of a discontinuous source in the heat equation. Zbl 0986.35129Hettlich, F.; Rundell, W. 28 2001 Reconstruction of a radially symmetric potential from two spectral sequences. Zbl 1011.35129Rundell, William; Sacks, Paul E. 22 2001 A second degree method for nonlinear inverse problems. Zbl 0946.35115Hettlich, 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 0963.01010Colton, D.; Engl, H. W.; Louis, A. K.; McLaughlin, J. R.; Rundell, W. 2 2000 Inverse obstacle scattering using reduced data. Zbl 1050.35021Kress, Rainer; Rundell, William 7 1999 The determination of a discontinuity in a conductivity from a single boundary measurement. Zbl 0894.35126Hettlich, Frank; Rundell, William 36 1998 An introduction to inverse scattering and inverse spectral problems. Zbl 0870.35121Chadan, Khosrow; Colton, David; Päivärinta, Lassi; Rundell, William 51 1997 Inverse obstacle scattering with modulus of the far field pattern as data. Zbl 0880.65105Kress, Rainer; Rundell, William 33 1997 Recovery of the support of a source term in an elliptic differential equation. Zbl 0888.35135Hettlich, Frank; Rundell, William 9 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 Inverse Problems in medical imaging and nondestructive testing. Proceedings of the conference in Oberwolfach, Germany, February 4–10, 1996. Zbl 0871.00041 2 1997 Iterative methods for the reconstruction of an inverse potential problem. Zbl 0858.35134Hettlich, Frank; Rundell, William 33 1996 The determination of a coefficient in an elliptic equation from average flux data. Zbl 0857.65132Lowe, Bruce D.; Rundell, William 1 1996 Unique recovery of a coefficient in an elliptic equation from input sources. Zbl 0824.35139Lowe, 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 0823.35172Kress, Rainer; Rundell, William 14 1994 An inverse problem for a Sturm-Liouville operator. Zbl 0798.34015Lowe, Bruce D.; Rundell, William 10 1994 On the determination of potentials without bound state data. Zbl 0823.65136Rundell, William; Sacks, Paul 8 1994 A regularization scheme for an inverse problem in age-structured populations. Zbl 0841.92021Engl, Heinz W.; Rundell, William; Scherzer, Otmar 7 1994 The determination of a coefficient in a parabolic equation from input sources. Zbl 0791.35055Lowe, Bruce D.; Rundell, William 4 1994 Determining the death rate for an age-structured population from census data. Zbl 0801.35150Rundell, William 10 1993 The determination of multiple coefficients in a second-order differential equation from input sources. Zbl 0783.34006Lowe, Bruce D.; Rundell, William 2 1993 Reconstruction techniques for classical inverse Sturm-Liouville problems. Zbl 0745.34015Rundell, William; Sacks, Paul E. 63 1992 The reconstruction of Sturm-Liouville operators. Zbl 0762.34003Rundell, William; Sacks, Paul E. 37 1992 The recovery of potentials from finite spectral data. Zbl 0763.34005Lowe, Bruce D.; Pilant, Michael; Rundell, William 25 1992 Recovering a time dependent coefficient in a parabolic differential equation. Zbl 0789.35162Cannon, John R.; Rundell, William 18 1991 Determining a coefficient in a first-order hyperbolic equation. Zbl 0731.35098Pilant, Michael; Rundell, William 7 1991 Determining the initial age distribution for an age structured population. Zbl 0900.92133Pilant, M.; Rundell, W. 3 1991 A parabolic inverse problem with an unknown boundary condition. Zbl 0705.35150Rundell, 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 0900.92129Rundell, William 10 1989 An iteration method for the determination of an unknown boundary condition in a parabolic initial-boundary value problem. Zbl 0673.65081Pilant, Michael; Rundell, William 5 1989 Multiple undetermined coefficient problems for quasi-linear parabolic equations. Zbl 0687.65110Pilant, Michael; Rundell, William 2 1989 Fixed point methods for a nonlinear parabolic inverse coefficient problem. Zbl 0647.35083Pilant, Michael; Rundell, William 10 1988 A uniqueness theorem for determining conductivity from overspecified boundary data. Zbl 0666.35078Pilant, Michael; Rundell, William 6 1988 The determination of a parabolic equation from initial and final data. Zbl 0644.35093Rundell, William 39 1987 An inverse problem for a nonlinear elliptic differential equation. Zbl 0647.35081Pilant, Michael; Rundell, William 10 1987 An inverse problem for an elliptic partial differential equation. Zbl 0638.35081Cannon, John R.; Rundell, William 9 1987 A uniqueness theorem for an inverse Sturm-Liouville problem. Zbl 0633.34016McLaughlin, Joyce R.; Rundell, William 7 1987 Iteration schemes for unknown coefficient problems arising in parabolic equations. Zbl 0651.65085Pilant, Michael S.; Rundell, William 4 1987 An inverse problem for a nonlinear parabolic equation. Zbl 0594.35057Pilant, Michael S.; Rundell, William 19 1986 Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0564.35097DuChateau, Paul; Rundell, William 24 1985 The use of integral operators in undetermined coefficient problems for partial differential equations. Zbl 0581.35080Rundell, William 4 1984 Extension of solutions to second order partial differential equations by the method of quasireversibility. Zbl 0564.35006Cosner, Chris; Rundell, William 2 1984 Unicity in an inverse problem for an unknown reaction term in a reaction- diffusion equation. Zbl 0535.35079DuChateau, Paul; Rundell, William 1 1984 An inverse problem for a parabolic partial differential equation. Zbl 0535.35076Rundell, William 4 1983 Uniqueness classes for pseudoparabolic equations with unbounded coefficients. Zbl 0541.35047Cosner, Chris; Rundell, William 1 1983 Determination of an unknown non-homogeneous term in a linear partial differential equation from overspecified boundary data. Zbl 0454.35045Rundell, William 82 1980 The uniqueness class for the Cauchy problem for pseudoparabolic equations. Zbl 0425.35062Rundell, William 5 1979 The nonpositivity of solutions to pseudoparabolic equations. Zbl 0425.35063Rundell, William; Stecher, Michael 5 1979 The construction of solutions to pseudoparabolic equations in noncylindrical domains. Zbl 0339.35067Rundell, William 10 1978 The Stefan problem for a pseudo-heat equation. Zbl 0396.35061Rundell, William 6 1978 A Runge approximation and unique continuation theorem for pseudoparabolic equations. Zbl 0397.35035Rundell, William; Stecher, Michael 1 1978 Maximum principles for pseudoparabolic partial differential equations. Zbl 0344.35044Stecher, Michael; Rundell, William 9 1977 Remarks concerning the supports of solutions of pseudoparabolic equations. Zbl 0354.35055Rundell, William; Stecher, Michael 6 1977 A method of ascent for parabolic and pseudoparabolic partial differential equations. Zbl 0341.35041Rundell, William; Stecher, Michael 4 1976 The solution of initial-boundary value problems for pseudo-parabolic partial differential equations. Zbl 0329.35033Rundell, William 1 1976 all cited Publications top 5 cited Publications 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 all top 5 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 all top 5 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) Citations by Year