HR job title
- Professor
- Contact Info
- 1 979 845 1450
Rundell, William Professor
Positions
- Professor, Mathematics, College of Arts and Sciences
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- Works By Students
- Background
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Overview
Publications
selected publications
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academic article
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Kress, R., & Rundell, W.
(2018).
INVERSE SCATTERING FOR SHAPE AND IMPEDANCE REVISITED. Journal of Integral Equations and Applications.
30(2), 293-311.
-
Rundell, W., & Zhang, Z.
(2018).
Recovering an unknown source in a fractional diffusion problem. Journal of Computational Physics.
368, 299-314.
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Rundell, W., & Zhang, Z.
(2017).
Fractional diffusion: recovering the distributed fractional derivative from overposed data. Inverse Problems.
33(3), 035008-035008.
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Liu, Y., Rundell, W., & Yamamoto, M.
(2016).
STRONG MAXIMUM PRINCIPLE FOR FRACTIONAL DIFFUSION EQUATIONS AND AN APPLICATION TO AN INVERSE SOURCE PROBLEM. Journal of Fractional Calculus and Applied Analysis.
19(4), 888-906.
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Kress, R., & Rundell, W.
(2015).
A NONLINEAR INTEGRAL EQUATION AND AN ITERATIVE ALGORITHM FOR AN INVERSE SOURCE PROBLEM. Journal of Integral Equations and Applications.
27(2), 179-198.
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Jin, B., & Rundell, W.
(2015).
A tutorial on inverse problems for anomalous diffusion processes. Inverse Problems.
31(3), 035003-035003.
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Bao, G., Lu, S., Rundell, W., & Xu, B.
(2015).
A RECURSIVE ALGORITHM FOR MULTIFREQUENCY ACOUSTIC INVERSE SOURCE PROBLEMS. SIAM Journal on Numerical Analysis.
53(3), 1608-1628.
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Rundell, W.
(2015).
RECOVERING THE DENSITY OF A STRING FROM ONLY LOWEST FREQUENCY DATA. SIAM Journal on Applied Mathematics.
75(5), 2232-2245.
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Jin, B., Lazarov, R., Pasciak, J., & Rundell, W.
(2015).
VARIATIONAL FORMULATION OF PROBLEMS INVOLVING FRACTIONAL ORDER DIFFERENTIAL OPERATORS. Mathematics of Computation.
84(296), 2665-2700.
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Rundell, W., & Sacks, P.
(2015).
Inverse eigenvalue problem for a simple star graph. Journal of Spectral Theory.
5(2), 363-380.
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Luchko, Y., Rundell, W., Yamamoto, M., & Zuo, L.
(2013).
Uniqueness and reconstruction of an unknown semilinear term in a time-fractional reaction-diffusion equation. Inverse Problems.
29(6), 065019-065019.
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Kress, R., & Rundell, W.
(2013).
Reconstruction of extended sources for the Helmholtz equation. Inverse Problems.
29(3), 035005-035005.
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Rundell, W., & Sacks, P.
(2013).
AN INVERSE EIGENVALUE PROBLEM FOR A VIBRATING STRING WITH TWO DIRICHLET SPECTRA. SIAM Journal on Applied Mathematics.
73(2), 1020-1037.
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Rundell, W., Xu, X., & Zuo, L.
(2013).
The determination of an unknown boundary condition in a fractional diffusion equation. Applicable Analysis: an international journal.
92(7), 1511-1526.
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Jin, B., & Rundell, W.
(2012).
An inverse problem for a one-dimensional time-fractional diffusion problem. Inverse Problems.
28(7), 075010-075010.
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Jin, B., & Rundell, W.
(2012).
An inverse Sturm-Liouville problem with a fractional derivative. Journal of Computational Physics.
231(14), 4954-4966.
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Hanke, M., & Rundell, W.
(2011).
ON RATIONAL APPROXIMATION METHODS FOR INVERSE SOURCE PROBLEMS. Inverse Problems and Imaging.
5(1), 185-202.
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Rundell, W., & Stecher, M.
(2011).
Remarks concerning the supports of solutions of pseudoparabolic equations. Proceedings of the American Mathematical Society.
63(1), 77-81.
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Rundell, W.
(2009).
RECOVERING AN OBSTACLE USING INTEGRAL EQUATIONS. Inverse Problems and Imaging.
3(2), 319-332.
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Rundell, W.
(2008).
Recovering an obstacle and a nonlinear conductivity from Cauchy data. Inverse Problems.
24(5), 055015-055015.
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Rundell, W.
(2008).
Recovering an obstacle and its impedance from Cauchy data. Inverse Problems.
24(4), 045003-045003.
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Rundell, W., Xiang, X., & Yin, H.
(2006).
Preface. Computers and Mathematics with Applications.
52(5), xiii-xiv.
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Rundell, W.
(2005).
From samos to SAMSI: The mathematical science institutes. Notices of the American Mathematical Society.
52(9), 1052-1054.
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Kress, R., & Rundell, W.
(2005).
Nonlinear integral equations and the iterative solution for an inverse boundary value problem. Inverse Problems.
21(4), 1207-1223.
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Rundell, W., & Sacks, P.
(2004).
Numerical technique for the inverse resonance problem. Journal of Computational and Applied Mathematics.
170(2), 337-347.
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McCarthy, C. M., & Rundell, W.
(2003).
Eigenparameter dependent inverse Sturm-Liouville problems. Numerical Functional Analysis and Optimization.
24(1-2), 85-105.
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Hettlich, F., & Rundell, W.
(2001).
Identification of a discontinuous source in the heat equation. Inverse Problems.
17(5), 1465-1482.
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Kress, R., & Rundell, W.
(2001).
Inverse scattering for shape and impedance. Inverse Problems.
17(4), 1075-1085.
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Rundell, W., & Sacks, P. E.
(2001).
Reconstruction of a radially symmetric potential from two spectral sequences. Journal of Mathematical Analysis and Applications.
264(2), 354-381.
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Hettlich, F., & Rundell, W.
(2000).
A second degree method for nonlinear inverse problems. SIAM Journal on Numerical Analysis.
37(2), 587-620.
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Hettlich, F., & Rundell, W.
(1998).
The determination of a discontinuity in a conductivity from a single boundary measurement. Inverse Problems.
14(1), 67-82.
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Kress, R., & Rundell, W.
(1998).
Inverse obstacle scattering using reduced data. SIAM Journal on Applied Mathematics.
59(2), 442-454.
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Hettlich, F., & Rundell, W.
(1997).
Recovery of the support of a source term in an elliptic differential equation. Inverse Problems.
13(4), 959-976.
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Hettlich, F., & Rundell, W.
(1996).
Iterative methods for the reconstruction of an inverse potential problem. Inverse Problems.
12(3), 251-266.
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Lowe, B. D., & Rundell, W.
(1996).
The determination of a coefficient in an elliptic equation from average flux data. Journal of Computational and Applied Mathematics.
70(1), 173-187.
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LOWE, B. D., & RUNDELL, W.
(1995).
UNIQUE RECOVERY OF A COEFFICIENT IN AN ELLIPTIC EQUATION FROM INPUT SOURCES. Inverse Problems.
11(1), 211-215.
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LOWE, B. D., & RUNDELL, W.
(1994).
THE DETERMINATION OF A COEFFICIENT IN A PARABOLIC EQUATION FROM INPUT SOURCES. IMA Journal of Applied Mathematics.
52(1), 31-50.
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RUNDELL, W., & SACKS, P.
(1994).
ON THE DETERMINATION OF POTENTIALS WITHOUT BOUND-STATE DATA. Journal of Computational and Applied Mathematics.
55(3), 325-347.
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KRESS, R., & RUNDELL, W.
(1994).
A QUASI-NEWTON METHOD IN INVERSE OBSTACLE SCATTERING. Inverse Problems.
10(5), 1145-1157.
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ENGL, H. W., RUNDELL, W., & SCHERZER, O.
(1994).
A REGULARIZATION SCHEME FOR AN INVERSE PROBLEM IN AGE-STRUCTURED POPULATIONS. Journal of Mathematical Analysis and Applications.
182(3), 658-679.
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LOWE, B. D., & RUNDELL, W.
(1994).
AN INVERSE PROBLEM FOR A STURM-LIOUVILLE OPERATOR. Journal of Mathematical Analysis and Applications.
181(1), 188-199.
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RUNDELL, W.
(1993).
DETERMINING THE DEATH RATE FOR AN AGE-STRUCTURED POPULATION FROM CENSUS-DATA. SIAM Journal on Applied Mathematics.
53(6), 1731-1746.
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LOWE, B. D., & RUNDELL, W.
(1993).
THE DETERMINATION OF MULTIPLE COEFFICIENTS IN A 2ND-ORDER DIFFERENTIAL-EQUATION FROM INPUT SOURCES. Inverse Problems.
9(4), 469-482.
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RUNDELL, W., & SACKS, P. E.
(1992).
THE RECONSTRUCTION OF STURM-LIOUVILLE OPERATORS. Inverse Problems.
8(3), 457-482.
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LOWE, B. D., PILANT, M., & RUNDELL, W.
(1992).
THE RECOVERY OF POTENTIALS FROM FINITE SPECTRAL DATA. SIAM Journal on Mathematical Analysis.
23(2), 482-504.
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Rundell, W., & Sacks, P. E.
(1992).
Reconstruction techniques for classical inverse Sturm-Liouville problems. Mathematics of Computation.
58(197), 161-183.
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CANNON, J. R., & RUNDELL, W.
(1991).
RECOVERING A TIME-DEPENDENT COEFFICIENT IN A PARABOLIC DIFFERENTIAL-EQUATION. Journal of Mathematical Analysis and Applications.
160(2), 572-582.
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PILANT, M., & RUNDELL, W.
(1991).
A METHOD FOR IDENTIFYING NONLINEAR TERMS IN PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEMS. Advances in Water Resources.
14(2), 83-88.
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PILANT, M., & RUNDELL, W.
(1991).
DETERMINING A COEFFICIENT IN A 1ST-ORDER HYPERBOLIC EQUATION. SIAM Journal on Applied Mathematics.
51(2), 494-506.
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Pilant, M., & Rundell, W.
(1991).
Determining the initial age distribution for an age structured population. Mathematical Population Studies: an international journal of mathematical demography.
3(1), 3-20.
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RUNDELL, W., & YIN, H. M.
(1990).
A PARABOLIC INVERSE PROBLEM WITH AN UNKNOWN BOUNDARY-CONDITION. Journal of Differential Equations.
86(2), 234-242.
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Pilant, M., & Rundell, W.
(1990).
Recovery of an unknown specific heat by means of overposed data. Numerical Methods for Partial Differential Equations.
6(1), 1-16.
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PILANT, M., & RUNDELL, W.
(1989).
AN ITERATION METHOD FOR THE DETERMINATION OF AN UNKNOWN BOUNDARY-CONDITION IN A PARABOLIC INITIAL-BOUNDARY VALUE-PROBLEM. Proceedings of the Edinburgh Mathematical Society.
32(1), 59-71.
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OKEEFFE, K. O., & RUNDELL, W.
(1989).
AN INFORMATION-THEORETIC APPROACH TO THE WRITTEN TRANSMISSION OF OLD-ENGLISH. Language Resources and Evaluation.
23(6), 459-467.
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Rundell, W.
(1989).
Determining the birth function for an age structured population. Mathematical Population Studies: an international journal of mathematical demography.
1(4), 377-395.
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Pilant, M., & Rundell, W.
(1989).
Multiple undetermined coefficient problems for quasilinear parabolic equations. Numerical Methods for Partial Differential Equations.
5(4), 297-311.
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PILANT, M., & RUNDELL, W.
(1988).
A UNIQUENESS THEOREM FOR DETERMINING CONDUCTIVITY FROM OVERSPECIFIED BOUNDARY DATA. Journal of Mathematical Analysis and Applications.
136(1), 20-28.
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BLAKLEY, G. R., & RUNDELL, W.
(1988).
CRYPTOSYSTEMS BASED ON AN ANALOG OF HEAT-FLOW. Lecture Notes in Artificial Intelligence.
293, 306-329.
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PILANT, M., & RUNDELL, W.
(1988).
FIXED-POINT METHODS FOR A NONLINEAR PARABOLIC INVERSE COEFFICIENT PROBLEM. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.
13(4), 469-493.
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Rundell, W.
(1988).
Some inverse problems for elliptic equations. Applicable Analysis: an international journal.
28(1), 67-78.
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CANNON, J. R., & RUNDELL, W.
(1987).
AN INVERSE PROBLEM FOR AN ELLIPTIC PARTIAL-DIFFERENTIAL EQUATION. Journal of Mathematical Analysis and Applications.
126(2), 329-340.
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MCLAUGHLIN, J. R., & RUNDELL, W.
(1987).
A UNIQUENESS THEOREM FOR AN INVERSE STURM-LIOUVILLE PROBLEM. Journal of Mathematical Physics.
28(7), 1471-1472.
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Pilant, M. S., & Rundell, W.
(1987).
Iteration schemes for unknown coefficient problems arising in parabolic equations. Numerical Methods for Partial Differential Equations.
3(4), 313-325.
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Rundell, W.
(1987).
The determination of a parabolic equation from initial and final data. Proceedings of the American Mathematical Society.
99(4), 637-642.
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PILANT, M. S., & RUNDELL, W.
(1986).
AN INVERSE PROBLEM FOR A NONLINEAR PARABOLIC EQUATION. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.
11(4), 445-457.
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DUCHATEAU, P., & RUNDELL, W.
(1985).
UNICITY IN AN INVERSE PROBLEM FOR AN UNKNOWN REACTION TERM IN A REACTION DIFFUSION EQUATION. Journal of Differential Equations.
59(2), 155-164.
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RUNDELL, W.
(1984).
THE USE OF INTEGRAL-OPERATORS IN UNDETERMINED COEFFICIENT PROBLEMS FOR PARTIAL-DIFFERENTIAL EQUATIONS. Applicable Analysis: an international journal.
18(4), 309-324.
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RUNDELL, W.
(1983).
AN INVERSE PROBLEM FOR A PARABOLIC PARTIAL-DIFFERENTIAL EQUATION. Rocky Mountain Journal of Mathematics.
13(4), 679-688.
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COSNER, C., & RUNDELL, W.
(1983).
UNIQUENESS CLASSES FOR PSEUDOPARABOLIC EQUATIONS WITH UNBOUNDED COEFFICIENTS. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS.
8(1), 1-20.
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Rundell, W., & Colton, D. L.
(1980).
Determination of an unknown non-homogeneous term in a linear partial differential equation .from overspecified boundary data. Applicable Analysis: an international journal.
10(3), 231-242.
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Rundell, W.
(1979).
The uniqueness class for the Cauchy problem for pseudoparabolic equations. Proceedings of the American Mathematical Society.
76(2), 253-257.
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RUNDELL, W.
(1978).
CONSTRUCTION OF SOLUTIONS TO PSEUDOPARABOLIC EQUATIONS IN NON-CYLINDRICAL DOMAINS. Journal of Differential Equations.
27(3), 394-404.
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STECHER, M., & RUNDELL, W.
(1977).
MAXIMUM PRINCIPLES FOR PSEUDOPARABOLIC PARTIAL-DIFFERENTIAL EQUATIONS. Journal of Mathematical Analysis and Applications.
57(1), 110-118.
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Rundell, W., & Sneddon, I. N.
(1976).
24.The Solution of Initial-Boundary Value Problems for Pseudoparabolic Partial Differential Equations*. Proceedings of the Royal Society of Edinburgh Section A Mathematics.
74, 311-326.
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Kress, R., & Rundell, W.
(2018).
INVERSE SCATTERING FOR SHAPE AND IMPEDANCE REVISITED. Journal of Integral Equations and Applications.
30(2), 293-311.
-
book
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Chadan, K., Colton, D., Rundell, W., & Pivrinta, L.
(1997).
An Introduction to Inverse Scattering and Inverse Spectral Problems. SIAM.
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Kiffe, T., & Rundell, W.
(1990).
Ode Solver: Numerical Procedures for Ordinary Differential Equations. Wadsworth Pub Co.
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Chadan, K., Colton, D., Rundell, W., & Pivrinta, L.
(1997).
An Introduction to Inverse Scattering and Inverse Spectral Problems. SIAM.
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conference paper
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Rundell, W.
(1998).
Iteration schemes for inverse obstacle problems. 269-280.
-
Lowe, B. D., & Rundell, W.
(1995).
Numerical algorithm for determining a coefficient in an elliptic equation
-
Rundell, W., & Sacks, P.
(1992).
Numerical determination of potentials. Proceedings of SPIE.
31-42.
-
Pilant, M., & Rundell, W.
(1989).
Collocation scheme for the identification of coefficients in nonlinear parabolic equations. IEEE Conference on Decision and Control.
1462-1463.
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Rundell, W.
(1998).
Iteration schemes for inverse obstacle problems. 269-280.
Research
principal investigator on
- Analysis and Computation for Inverse Problems in Differential Equations awarded by National Science Foundation - (Arlington, Virginia, United States) 2016 - 2020
- Uniqueness and Reconstructions methods for Inverse Problems awarded by National Science Foundation - (Arlington, Virginia, United States) 2013 - 2017
Teaching
teaching activities
- MATH171 Hnr-calculus I Instructor
- MATH300 Foundations Of Math Instructor
- MATH308 Differential Equations Instructor
- MATH311 Top In Applied Math I Instructor
- MATH407 Complex Variables Instructor
- MATH409 Advanced Calculus I Instructor
- MATH409 Hnr-advanced Calculus I Instructor
- MATH412 Theory Of Pdes Instructor
- MATH442 Math Modeling Instructor
- MATH470 Comm And Cryptography Instructor
- MATH471 Comm And Cryptography Ii Instructor
- MATH489 Sptp:math Of Epidemic Modeling Instructor
- MATH673 Info Sec Auth I Instructor
- MATH685 Directed Studies Instructor
- MATH691 Research Instructor
Works By Students
chaired theses and dissertations
-
Zuo, Lihua (2013-06). Inverse Problems for Fractional Diffusion Equations.
Background
education and training
- Ph.D., University of Glasgow - (Glasgow, United Kingdom) 1974
- B.Sc. in Mathematics & Natural Philosophy, University of Glasgow - (Glasgow, United Kingdom) 1971
awards and honors
Contact
first name
- William
has last name
- Rundell
mailing address
-
Texas A&M University
Mathematics
3368 TAMU
College Station, TX 77843-3368
USA
Other
- rundell@tamu.edu