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Diego A. Murio
Professor Emeritus
511 Old Chemistry Building
513-658-4015
diego.a.murio@uc.edu
http://math.uc.edu/~diego/Last.html
Professional Summary
Applied Mathematics, Ill-Posed Inverse Problems, Design and Analysis of Numerical Algorithms.
University of Cincinnati Faculty Achievement Award, University of Cincinnati, 1997.
Co-author with S. Zhan of MATHWEB (©1998), software package to interactively use Mathematica on the WWW.
University of Cincinnati Charles Phelps Taft, National Science Foundation and Colciencias Grants.
Reviewer for several journals.
Referee National Science Foundation Grants, International Science Foundation Grants, Department of the Army Grants and Colciencias Grants.
Chair, Co-Chair, Member of Scientific Committees and Invited Lecturer at several International Scientific Meetings.
More than 100 invited presentations at various Universities in the U.S.A. and abroad.
Member Executive Committee Annual Inverse Problems in Engineering Seminar.
Member Executive Committee of American Group for Inverse Problems in Engineering.
Member Editorial Board Journal of Computational and Applied Mathematics, Brazilian Society of Computational and Applied Mathematics.
Education
BS Physics, Institute John XXIII, Bahía Blanca, Argentina, 1966.
BS Mathematics, National University of the South, Bahía Blanca, Argentina, 1972.
MA Mathematics, University of California, Berkeley, 1976.
Ph D Applied Mathematics, University of California, Berkeley, 1979.
Positions & Work Experience
1963-1968, Instructor of Mathematics and Physics, San Juan Bosco High School, Bahía Blanca, Argentina.
1968-1973, Professor of Physics, Institute John XXIII, Bahía Blanca, Argentina.
1973-1975, Assistant Professor of Mathematics, National University of the South, Bahía Blanca, Argentina.
1976-1979, Research Assistant, Center of Pure and Applied Mathematics, University of California, Berkeley.
1979-1984, Assistant Professor, Department of Mathematical Sciences, University of Cincinnati.
1984-1989, Associate Professor, Department of Mathematical Sciences, University of Cincinnati.
1989-2009, Professor, Department of Mathematical Sciences, University of Cincinnati.
2009 to Present, Emeritus Professor, Department of Mathematical Sciences, University of Cincinnati.
06/20/1981-09/20/1981, Visiting Professor, National University of the South, Bahía Blanca, Argentina .
06/20/1982-09/20/1982, Visiting Professor, National University of the South, Bahía Blanca, Argentina .
01/10/1988-03/10/1988, Visiting Professor, National University of the South, Bahía Blanca, Argentina.
06/20/1994-09/20/1994, Visiting Professor, National University of Colombia, Sede Medellín, Medellín, Colombia.
01/10/1996-03/10/1996, Visiting Professor, National University of Colombia, Sede Medellín, Medellín, Colombia .
Peer Reviewed Publications
(1981). The Mollification Method and the Numerical Solution of an Inverse Heat Conduction Problem. SIAM Journal on Scientific and Statistical Computing, 2, 17-34.
(1981). Numerical Methods for Inverse Transient Heat Conduction Problems. Revista Unión Matemática Argentina, 30, 25-45.
(1982). On the Estimation of the Boundary Temperature on a Sphere from Measurements at its Center. Journal of Computational and Applied Mathematics, 8(2), 111-119.
(1982). Monotone Scheme for Finite Differences Equations Concerning Steady-State Prey-Predator Interactions, with A. Lazer and A. Leung. Journal of Computational and Applied Mathematics, 8(4), 243-252.
(1982). Asymptotic Analysis of a Finite Elements Method for Fredholm Equations of the First Kind, with C. W. Groetsch and J. T. King. Treatment of Integral Equations by Numerical Methods, C. T. H. Baker and G. F. Miller Editors, Academic Press, 1-11.
(1983). Monotone Scheme for Finite Difference Equations Concerning Steady-State Competing-Species Interactions, with A. Leung. Portugalia Mathematica, (dedicated to A. Monteiro), 39, 497-510.
(1984). Implicit Predictor Corrector Methods for PDE's with Convection and Diffusion. Revista de la Unión Matemática Argentina, 31, 85-98.
(1985). On the Characterization of the Solution of the Inverse Heat Conduction Problem. ASME Meeting, Session on Inverse and Optimization Heat Transfer, Miami Beach, Florida, Paper 85-WA/HT-41, 1-7.
(1986). Combined Function Specification-Regularization Procedure for Solution of Inverse Heat Conduction Problem, with J. V. Beck. Journal of the American Institute of Aeronautics and Astronautics, 24 (1), 180-185.
(1986). Numerical Differentiation using Finite Dimensional Regularization, with J. T. King. IMA Journal of Numerical Analysis, 6, 65-85.
(1986). Accelerated Monotone Scheme for Finite Differences Equations Concerning Steady-State Prey-Predator Interactions, with A. Leung. Journal of Computational and Applied Mathematics, 16, 333-341.
(1986). L2 Convergence for Positive Finite Differences Solutions of the Diffusive Logistic Equation in Two Dimensional Bounded Domains, with A. Leung. Computers and Mathematics with Applications, 12(9), 991-1005.
(1987). Accelerated Monotone Scheme for Finite Differences Equations Concerning Steady-State Prey-Predator Interactions, with A. Leung. Numerical Approximation of Partial Differential Equations, E. L. Ortiz Editor, North- Holland, 219-233.
(1987). Automatic Numerical Differentiation by Discrete Mollification. Computers and Mathematics with Applications, 13(4), 381-386.
(1988). A Note on the Perturbation of One Element of a Matrix. Proceedings First Inverse Problems in Engineering Seminar, J. V. Beck Editor, Michigan State University, East Lansing, Michigan, 1-11.
(1988). On the Noise Reconstruction for the Inverse Heat Conduction Problem. Computers and Mathematics with Applications, 16(12), 1027- 1033.
(1988). Parameter Selection by Discrete Mollification and the Numerical Solution of the Inverse Heat Conduction Problem. Journal of Computational and Applied Mathematics, 22, 25-34.
(1988). An Integral Solution for the Inverse Heat Conduction Problem after the Method of Weber, with C. Roth. Computers and Mathematics with Applications, 15(1), 39-51.
(1988). Combined Mollification - Future Temperatures Procedure for Solution of Inverse Heat Conduction Problem, with J. R. Paloschi. Journal of Computational and Applied Mathematics, 23, 235-244.
(1989). Automatic Data Filtering for the Inverse Heat Conduction Problem. Proceedings Second Annual Inverse Problems in Engineering Seminar, J. V. Beck Editor, Michigan State University, East Lansing, Michigan, 1-11.
(1989). Numerical Identification of Forcing Terms by Discrete Mollification, with D. Hinestroza. Computers and Mathematics with Applications, 17(11), 1441-1447.
(1989). The Mollification Method and the Numerical Solution of the Inverse Heat Conduction Problem by Finite Differences. Computers and Mathematics with Applications, 17(10), 1385-1396.
(1990). A Mollified Space Marching Finite Differences Algorithm for the Inverse Heat Conduction Problem with Slab Symmetry, with L. Guo and C. Roth. Computers and Mathematics with Applications, 19(7), 75-89.
(1990). Rigorous Proofs for Cone-Beam Reconstruction, with D. Hinestroza, C. E. Mejía and L. Guo. Proceedings Third Annual Inverse Problems in Engineering Seminar, J. V. Beck Editor, Michigan State University, East Lansing, Michigan, 1-16.
(1990). Discrete Stability Analysis of the Mollification Method for Numerical Differentiation, with L. Guo. Computers and Mathematics with Applications, 19(6), 15-26.
(1990). A Stable Space Marching Finite Differences Algorithm for the Inverse Heat Conduction Problem with no Initial Filtering Procedure, with L. Guo. Computers and Mathematics with Applications, 19(10), 35-50.
(1990). Errata to Discrete Stability Analysis of the Mollification Method for Numerical Differentiation, with L. Guo. Computers and Mathematics with Applications, 20(12), 75.
(1991). Comparison of Four Stable Methods for Abel's Integral Equation. Proceedings Inverse Design Concepts and Optimization, with C. E. Mejía, G. S. Dulikravich Editor, Washington D. C., 239-252.
(1991). Numerical Identification of Boundary Conditions on Nonlinearly Radiating Inverse Heat Conduction Problems. Proceedings Inverse Design Concepts and Optimization, G. S. Dulikravich Editor, Washington D. C., 227-238.
(1991). In Search of Stability. Proceedings Fourth Annual Inverse Problems in Engineering Seminar, J. V. Beck Editor, Michigan State University, East Lansing, Michigan, 1-10.
(1992). Stable Numerical Inversion of Abel's Integral Equation by Discrete Mollification. Theoretical Aspects of Industrial Design, Proceedings in Applied Mathematics, D. A. Field and V. Komkov Editors, SIAM, Philadelphia, 58, 92-104.
(1992). A Mollified Space Marching Finite Differences Algorithm for the Two- Dimensional Inverse Heat Conduction Problem with Slab Symmetry, with L. Guo. Inverse Problems, 7, 247-259.
(1992). New Stable Numerical Inversion of Abel's Integral Equation, with D. Hinestroza and C. E. Mejía. Computers and Mathematics with Applications, 23(11), 3-11.
(1992). Numerical Identification of Interface Source Functions in Heat Transfer Problems Under Nonlinear Boundary Conditions. Computers and Mathematics with Applications, 24(4), 65-76.
(1992). Solution of Inverse Heat Conduction Problems with Phase Changes by the Mollification Method. Computers and Mathematics with Applications, 24(7), 45-57.
(1992). Description of Some Open Ill-Posed Problems in Inverse Heat Transfer Conduction, Proceedings NSF International U.S.A.-Russia Workshop on Inverse Heat Problems in Engineering, J. V. Beck and O. Alifanov Editors, Michigan State University, East Lansing, Michigan, B.13.1-B.13.10.
(1993). The Space Marching Solution of the Inverse Heat Conduction Problem and the Identification of the Initial Temperature Distribution, with D. Hinestroza. Computers and Mathematics with Applications, 25(4), 55-63.
(1993). Recovery of the Transient Heat Transfer Coefficient in the Nonlinear Boundary Value Problem for the Heat Equation, with D. Hinestroza. Computers and Mathematics with Applications, 25(5), 101-111.
(1993). Identification of Transmissivity Coefficients by Mollification Techniques. Part I: One-Dimensional Elliptic and Parabolic Problems, with D. Hinestroza. Computers and Mathematics with Applications, 25(8), 59-79.
(1993). Identification of Diffusivity Coefficient and Initial Condition by Discrete Mollification, with C. E. Mejía. Proceedings 1st International Conference of Inverse Problems in Engineering: Theory and Practice, Engineering Foundation and ASME, N. Zabaras Editor, Palm Coast, Florida, 227-236.
(1993). On the Numerical Solution of the Two-Dimensional Inverse Heat Conduction Problem by Discrete Mollification. Proceedings 1st International Conference of Inverse Problems in Engineering: Theory and Practice, Engineering Foundation and ASME, N. Zabaras Editor, Palm Coast, Florida, 17-22.
(1993). Mollified Hyperbolic Method for Coefficient Identification Problems, with C. E. Mejía. Computers and Mathematics with Applications, 26(5), 1-12.
(1994). Stability Analysis for Cone-Beam Reconstruction, with D. Hinestroza, A. Leung, B. L. Smith and H. Zheng. Proceedings Second International Conference Dynamic System Identification and Inverse Problems, O. M. Alifanov, V. V. Mickhailov and A. V. Nenarokomov Editors, Session F: Mathematical Problems, St. Petersburg, Russia, 2, F.5.1-F.5.12.
(1995). A Stable Algorithm for 3D-IHCP, with H. Zheng. Computers and Mathematics with Applications, 29(5), 97-110.
(1995). Numerical Experiments in Multidimensional IHCP on Bounded Domains, with Y. Liu and H. Zhang. GAMM-SIAM Proceedings on Inverse Problems in Diffusion Processes, H. W. Engl and W. Rundell Editors, SIAM, Philadelphia, 151-180.
(1995). Numerical Solution of IHCP and Identification of Boundary Conditions, with C. E. Mejía. Proceedings Seventh Annual Inverse Problems in Engineering Seminar, H. R. Busby and L. Guo Editors, The Ohio State University, Columbus, Ohio, 1-15.
(1995). Numerical Identification of Diffusivity Coefficient and Initial Condition by Discrete Mollification, with C. E. Mejía. Computers and Mathematics with Applications, 30(12), 35-50.
(1996). Numerical Experiments in 2-D IHCP on Bounded Domains. Part I: The "interior" cube problem, with Y. Liu. Computers and Mathematics with Applications, 31(1), 15-32.
(1996). 3D-IHCP on a Finite Cube, with H. Zheng. Computers and Mathematics with Applications, 31(1), 1-14.
(1996). Numerical Solution of Generalized IHCP by Discrete Mollification, with C. E. Mejía. Computers and Mathematics with Applications, 32(2), 33-50.
(1996). Numerical Solution of Generalized IHCP, with C. E. Mejía. Proceedings 2nd International Conference Inverse Problems in Engineering: Theory and Practice, Engineering Foundation and ASME, D. Delaunay Editor, Le Croisic, France, 1-8.
(1996). Un Problema Inverso Generalizado de Conducción de Calor, with C. E. Mejía. Proceedings IV Escuela de Verano en Ecuaciones Diferenciales y Temas Afines, Universidad Nacional de Colombia, Santa Fé de Bogotá, Colombia, 1-8.
(1997). Diferenciación Numérica por Molificación Discreta, with C. E. Mejía. Revista de la Facultad de Ciencias, Universidad Nacional de Colombia, Sede Medellín, Medellín, Colombia, 5(1), 71-80.
(1997). Elliptic Marching Methods and Domain Decomposition. SIAM Review, 39(2), 354-355.
(1997). Identification Problems in One-Dimensional IHCP, with S. Zhan. Proceedings Eighth Inverse Problems in Engineer, A. Maniatty Editor, Rensselaer Polytechnic Institute, Troy, New York, 1-16.
(1997). Automatic Numerical Differentiation, with C. E. Mejía and S. Zhan. Proceedings Eighth Inverse Problems in Engineer, A. Maniatty Editor, Rensselaer Polytechnic Institute, Troy, New York, pp. 1-13.
(1997). Molificación Discreta y Diferenciación Numérica, with C. E. Mejía. Proceedings Cuarto Congreso Colombiano de Elementos Finitos y Modelación Numérica, Instituto Colombiano del Petróleo, Bucaramanga, Colombia, 1-6.
(1998). Discrete Mollification and Automatic Numerical Differentiation, with C. E. Mejía and S. Zhan. Computers and Mathematics with Applications, 35(5), 1-16.
(1998). Identification of Parameters in One-Dimensional IHCP, with S. Zhan. Computers and Mathematics with Applications, 35(3), 1-16.
(1998). Stability, Well-Posed Problems, Ill-Posed Problems and Nonlinear Problems. Proceedings Ninth Inverse Problems in Engineer Seminar, L. Guo Editor, Ball State University, Muncie, Indiana, 20-43.
(1998). Discrete Mollification in R2 and its Applications to 2-D IHCPs, with S. Zhan. Proceedings Ninth Inverse Problems in Engineer Seminar, L. Guo Editor, Ball State University, Muncie, Indiana, 72-94.
(1998). Online Interactive Differential Equations Course I (MATHWEB). The Eleventh International Conference on Technology in Collegiate Mathematics, New Orleans, 1-16.
(1999). Surface Fitting and Numerical Gradient Computations by Discrete Mollification, with S. Zhan. Computers and Mathematics with Applications, 37(9), 85-102.
(1999). Regularization Techniques for Nonlinear Problems, with D. Hinestroza and S. Zhan. Computers and Mathematics with Applications, 37(10), 145-159.
(1999). Numerical Solution of Generalized 2-D IHCP by Discrete Mollification, with S. Zhan and C. Coles. Proceedings 3rd International Conference on Inverse Problems in Engineering: Theory and Practice, K. Woodbury Editor, Port Ludlow, Washington, 303-307.
(1999). Online Interactive Differential Equations Course II (MATHWEB). The Twelfth International Conference on Technology in Collegiate Mathematics, San Francisco, 1-15.
(2000). Identification of Parameters in 2-D IHCP, with C. Coles. Computers and Mathematics with Applications, 14, 939-956.
(2000). A Note on Determining Second Derivatives from Noisy Data, with C. Coles. Proceedings Tenth Annual Inverse Problems in Engineering Seminar, The University of Texas at Arlington, Texas, 1-10.
(2000). Simultaneous Identification of Source Term and Diffusivity Coefficient in the Two-Dimensional Inverse Heat Conduction Problem, with C. Coles. Proceedings Tenth Annual Inverse Problems in Engineering Seminar, The University of Texas at Arlington, Texas, 1-20.
(2001). Some Applications of the Mollification Method, with C. Mejia and S. Zhan. Approximation, Optimization and Mathematical Economics, M. Lassonde Editor, Physica-Verlag, 213-222.
(2001). Automatic Numerical Solution of Generalized 2-D IHCP by Discrete Mollification, with S. Zhan and C. Coles. Computers and Mathematics with Applications, 41, 15-38.
(2001). Simultaneous Space Diffusivity and Source Term Reconstruction in the Two-Dimensional Inverse Heat Conduction Problem, with C. Coles. Computers and Mathematics with Applications, 42, 2001, 1549-1564.
(2002). Source Terms Identification for the Diffusion Equation, with Z. Yi. Proceedings Fourth International Conference on Inverse Problems in Engineering, H. Orlande Editor, Rio de Janeiro, Brazil, 1, 100-107.
(2003). Coefficient Identification in Reaction-Diffusion Equations, with W. Yu. Proceedings Inverse Problems in Engineering Symposium, K. Woodbury Editor, The University of Alabama, Tuscaloosa, Alabama, 1-10.
(2003). Source Term Identification in 2-D IHCP, with Z. Yi. Proceedings Fourth International Conference on Inverse Problems: Identification, Design and Control, O. M. Alifanov et al Editors, Moscow, Russia, 15-24.
(2004). Source Term Identification in 1-D IHCP, with Z. Yi. Computers and Mathematics with Applications, 47(12), 1921-1933.
(2004). Identification of Source Terms in 2-D IHCP, with Z. Yi. Computers and Mathematics with Applications, 47(10-11), 1517-1533.
(2004). On the Numerical Solution of Ill-Posed Nonlinear Parabolic Systems, with C. Coles. Proceedings 13th Inverse Problems in Engineering Seminar, D. A. Murio Editor, University of Cincinnati, Cincinnati, Ohio, 37-43.
(2004). On a New Technique for Heat Flux Determination, with C. E. Mejía. Proceedings 13th Inverse Problems in Engineering Seminar, D. A. Murio Editor, University of Cincinnati, Cincinnati, Ohio, 135-140.
(2004). Coefficient Identification in 2-D Volterra-Lotka Systems of Parabolic Differential Equations by Mollification, with W. Yu. Proceedings 13th Inverse Problems in Engineering Seminar, D. A. Murio Editor, University of Cincinnati, Cincinnati, Ohio, 185-191.
(2005). Numerical Solutions of Inverse Spatial Lotka-Volterra Systems, with C. Coles. Mathematical and Computer Modeling, 42(13), 1411-1420.
(2005). Some Inverse Problems in Systems of Nonlinear Parabolic Equations. Proceedings 5th International Conference on Inverse Problems in Engineering: Theory and Practice, D. Lesnic Editor, Clare College, Cambridge University, UK, 2(M07), 1-10.
(2006). On the Stable Computation of Caputo Fractional Derivatives. Computers and Mathematics with Applications, 51, 1539-1550.
(2006). Parameter Estimation for a Drying System in a Porous Medium, with C. Coles. Computers and Mathematics with Applications, 51, 1519-1528.
(2006). Estimation of Initial Conditions and Inverse Problem Solution for a Drying System in a Porous Medium. Proceedings 14th Inverse Problems in Engineering Seminar, in CD ROM, K. M. Bryden Editor, Iowa State University, Ames, Iowa, 1-11.
(2006). On the Stable Estimation of Riemann-Liouville and Caputo Fractional Derivatives, Proceedings 14th Inverse Problems in Engineering Seminar, in CD ROM, K. M. Bryden Editor, Iowa State University, Ames, Iowa, 1-9.
(2007). Stable Numerical Solution of a Fractional-Diffusion Inverse Heat Conduction Problem. Computers and Mathematics with Applications, 53, 1492-1501.
(2007). Stable Numerical Evaluation of Grünwald-Letnikov Fractional Derivatives. Proceedings of Inverse Problems, Design and Optimization Symposium, IPDO 2007, G. S. Dulikravich et al Editors, Florida International University, Miami Beach, Florida, 1, 44-48.
(2007). Fractional Inverse Heat Conduction Problem with Half Time Grünwald-Letnikov Derivatives. Proceedings of Inverse Problems, Design and Optimization Symposium, IPDO 2007, G. S. Dulikravich et al Editors, Florida International University, Miami Beach, Florida, 1, 49-54.
(2007). On the Stable Numerical Computation of Grünwald-Letnikov Fractional Derivatives. Available at ntwright@msu.edu from N. Wright, Chairperson of Inverse Problems in Engineering Symposium, IPES 2007, Michigan State University, East Lansing, Michigan, 1-9.
(2007). Fractional Diffusion Equations. Available at ntwright@msu.edu from N. Wright, Chairperson of Inverse Problems in Engineering Symposium, IPES 2007, Michigan State University, East Lansing, Michigan, 1-23.
(2007). Time Fractional Inverse Heat Conduction Problem. Available at ntwright@msu.edu from N. Wright, Chairperson of Inverse Problems in Engineering Symposium, IPES 2007, Michigan State University, East Lansing, Michigan, 1-15.
(2007). Inverse Kernels for the Time Fractional Inverse Heat Conduction Problem. Available at ntwright@msu.edu from N. Wright, Chairperson of Inverse Problems in Engineering Symposium, IPES 2007, Michigan State University, East Lansing, Michigan, 1-15.
(2008). Time Fractional IHCP with Caputo Fractional Derivatives. Computers and Mathematics with Applications, 56, 2371–2381.
(2008). Implicit Finite Difference Approximation for Time Fractional Diffusion Equation. Computers and Mathematics with Applications, 4, 1138-1145.
(2008). Source Terms Identification for Time Fractional Diffusion Equation, with C. E. Mejía. Revista Colombiana de Matemáticas, 42(1), 25-46.
(2008). Trigonometric Mollification, with C. E. Mejía, Proceedings of the 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Dourdan (Paris), France, Paper No.82, 1-8.
(2008). Generalized Time Fractional IHCP with Caputo Fractional Derivatives, with C. E. Mejía, Proceedings of the 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Dourdan (Paris), France, Paper No.83, 1-8.
(2008). Identification of Diffusivity Coefficients in Time Fractional Diffusion Equations, Program of the 5th European Congress on Computational Methods in Applied Sciences and Engineering ECCOMAS 2008 and 8th World Congress on Computational Mechanics WCCM8, B. A. Schrefler and U. Perego Editors,Venice, Italy, Presentation No.189, 1-11.
(2008). Generalized Time Fractional IHCP with Caputo Fractional Derivatives, with C. E. Mejía, Proceedings of the 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Dourdan (Paris), France. Journal of Physics: Conference Series, 135 (2008) 012074, 1-8.
(2008). Trigonometric Mollification, with C. E. Mejía, Proceedings of the 6th International Conference on Inverse Problems in Engineering: Theory and Practice, Dourdan (Paris), France. Journal of Physics: Conference Series, 135 (2008) 012075, 1-8.
(2009). Stable Numerical Evaluation of Grünwald-Letnikov Fractional Derivatives Applied to a Fractional IHCP, Inverse Problems in Science and Engineering, 17(2), 229 – 243.
Books
(1993). The Mollification Method and the Numerical Solution of Ill-Posed Problems, New York, New York, John Wiley & Sons, Interscience Division.
(1994). Theoretical and Computational Aspects of Ill-Posed Problems, with C. W. Groetsch and J. T. King, University of Cincinnati, Cincinnati, Ohio.
(1994). Proceedings Sixth Inverse Problems in Engineering Seminar, University of Cincinnati, Cincinnati, Ohio.
(2000). Mathematica Notebooks for - ODE's with CD ROM, Appendices to "Elementary Differential Equations and Boundary Value Problems", W. E. Boyce and R. C. DiPrima, Cincinnati, Wiley Costume Services.
(2004). Proceedings Thirteenth Inverse Problems in Engineering Seminar, University of Cincinnati, Cincinnati, Ohio.
Book Chapters
(2000). Introduction to Sets and Relations. In Handbook of Industrial Automation, R. Shell, & E. Hall (Eds.) Marcel Dekker
(2002). Mollification and Space Marching. In Inverse Engineering Handbook, K. Woodbury (Eds.) Boca Raton, Florida: CRC Press, (pp. 220-316)
Student Advising
Constance Roth, Ph D Thesis: "Integral solution approach for inverse heat conduction problems", Doctoral, Dissertation ,Chair, 1989.
Lijia Guo, Ph D Thesis: “Stabilized numerical solution for inverse heat conduction problems” , Doctoral, Dissertation ,Chair, 1990.
Doris Hinestroza, Ph D Thesis: “Numerical identification of transmissivity coefficients in elliptic and parabolic equations by mollification techniques” , Doctoral, Dissertation ,Chair, 1992.
Carlos Enrique Mejía, Ph D Thesis: “Solution of some ill-posed problems by mollification methods” , Doctoral, Dissertation ,Chair, 1993.
Hongcai Zheng, Ph D Thesis: “Numerical solutions for 3D-IHCP and some related problems” , Doctoral, Dissertation ,Chair, 1995.
Yinghui Liu, Ph D Thesis: “Mollification method for 2-D IHCP on bounded domains” , Doctoral, Dissertation ,Chair, 1995.
Saeed Golnabi, Ph D Thesis: “Multivariate statistical quality control” , Doctoral, Dissertation ,Chair, 1998.
Shenghe Zhan, Ph D Thesis: “The method of δ-mollification and its applications” , Doctoral, Dissertation ,Chair, 1998.
Crista Coles, Ph D Thesis: “Numerical identification of parameters in inverse heat conduction and inverse Euler Bernoulli beam theory” , Doctoral, Dissertation ,Chair, 2000.
Zhuobiao Yi, Ph D Thesis: “Identification of general source terms in parabolic equations” , Doctoral, Dissertation ,Chair, 2002.
Weiming Yu, Ph D Thesis: “Identification of coefficients in reaction diffusion systems of parabolic equations” , Doctoral, Dissertation ,Chair, 2003.
