# Basca Jadamba

## Associate Professor

School of Mathematical Sciences

College of Science

585-475-3994

Office Hours

Tuesday: 12:15-1:45, Thursday: 12:15-1:45, and by appointment

Office Location

# Basca Jadamba

## Associate Professor

School of Mathematical Sciences

College of Science

## Education

BS, National University of Mongolia (Mongolia); MS, University of Kaiserslautern (Germany); Ph.D., University of Erlangen-Nuremberg (Germany)

585-475-3994

Areas of Expertise

Inverse Problems

Continuous Optimization

Partial Differential Equations

Numerical Analysis

Finite Element Methods

Mathematical Modeling

## Select Scholarship

Journal Paper

Jadamba, Baasansuren,

*et al*. "Analyzing the Role of Inf-Sup Condition in Inverse Problems for Saddle Point Problems with Applications in Elasticity Imaging."*Optimization*69. 12 (2020): 2577--2610. Print.Babaniyi, Olalekan,

*et al*. "Inverse Problems of Identification in Incompressible Medium."*Journal of Nonlinear and Variational Analysis*4. 2 (2020): 301-318. Print.Jadamba, Baasansuren,

*et al*. "Contingent Derivatives of the Set-Valued Solution Map of a Noncoercive Saddle Point Problem: A Cross-Fertilization Between Variational Analysis and Inverse Problems."*Journal of Nonlinear and Variational Analysis*4. 1 (2020): 127-134. Print.Jadamba, Baasansuren,

*et al*. "A Convex Inversion Framework for Identifying Parameters in Saddle Point Problems with Applications to Inverse Incompressible Elasticity."*Inverse Problems*36. 7 (2020): 25. Print.Huerga, Lidia, Baasansuren Jadamba, and Miguel Sama. "An Extension of the Kaliszewski Cone to Non-Polyhedral Pointed Cones in Infinite-Dimensional Spaces."

*Journal of Optimization Theory and Applications*181. (2019): 437-455. Print.Jadamba, Baasansuren,

*et al*. "Elliptic Inverse Problems of Identifying Nonlinear Parameters."*Pure and Applied Functional Analysis*3. 2 (2018): 309-326. Print.Jadamba, Baasansuren, Akhtar A. Khan, and Miguel Sama. "Stable Conical Regularization by Constructible Dilating Cones with an Application to Lp-constrained Optimization Problems."

*Taiwanese Journal of Mathematics*23. 4 (2019): 1001–1023. Print.Causa, Antonio, Baasansuren Jadamba, and Fabio Raciti. "A migration Equilibrium Model with Uncertain Data and Movement Costs."

*Decisions in Economics and Finance*40. 1-2 (2017): 159-175. Print.Jadamba, Baasansuren,

*et al*. "On Convex Modified Output Least-Squares for Elliptic Inverse Problems: Stability, Regularization, Applications, and Numerics."*Optimization*60. (2017): 983-1012. Print.Jadamba, Baasansuren,

*et al*. "First-Order and Second-Order Adjoint Methods for Parameter Identification Problems with an Application to the Elasticity Imaging Inverse Problem."*Inverse Problems in Science and Engineering*25. 12 (2017): 1-21. Print.Gwinner, Joachim,

*et al*. "Identification in Variational and Quasi-Variational Inequalities."*J. Convex Analysis*25. 1-26 (2018): 545-569. Print.Jadamba, Baasansuren, Massimo Pappalardo, and Fabio Raciti. "Efficiency and Vulnerability Analysis for Congested Networks with Random Data."

*J. Optim. Theory Appl.*. (2018): 1-21. Web.Faraci, F., B. Jadamba, and F. Raciti. "On Stochastic Variational Inequalities with Mean Value Constraints."

*J. Optim. Theory Appl.*171. 2 (2016): 675-693. Print.Jadamba, B., A. Khan, and M. Sama. "Error Estimates for Integral Constraint Regularization of State-Constrained Elliptic Control Problems."

*Comput. Optim. Appl.*. (2016): 1-33. Web.Jadamba, Baasansuren,

*et al*. "Identification of Flexural Rigidity in a Kirchhoff Plates Model Using a Convex Objective and Continuous Newton Method."*Mathematical Problems in Engineering*2015. Article ID 290301 (2015): 11. Web.Bush, Nathan,

*et al*. "Identification Of A Parameter In Fourth-Order Partial Differential Equations By An Equation Error Approac."*Math. Slovaca*65. 5 (2015): 1-13. Print.Jadamba, Baasansuren and Fabio Raciti. "Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly."

*Journal of Optimization Theory and Applications*165. (2015): 1050-1070. Print.Doyley, Marvin,

*et al*. "A New Energy Inversion for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location."*Numerical Functional Analysis and Optimization*35. 7-9 (2014): 984-1017. Print.Jadamba, Baasansuren,

*et al*. "A New Convex Inversion Framework for Parameter Identification in Saddle Point Problems with an Application to the Elasticity Imaging Inverse Problem of Predicting Tumor Location."*SIAM Journal on Applied Mathematics*74. 5 (2014): 1486-1510. Print.Gibali, Aviv,

*et al*. "Gradient and Extragradient Methods for an Elliptic Inverse Problem of Parameter Identification: A Numerical Study."*Indian J. Indust. Appl. Math*4. 1 (2013): 33-51. Print.Jadamba, Baasansuren and Fabio Raciti. "On the Modelling of some Environmental Games with Uncertain Data."

*J. of Optim. Theory and Appl*167. (2015): 959-968. Print.Cahill, Nathan,

*et al*. "A First-Order Adjoint and A Second-Order Hybrid Method for an Energy Output Least Squares for Elastography Inverse Problem."*Boundary Value Problems*. (2013): 263-277. Web.Jadamba, Baasansuren, Akhtar A. Khan, and Miguel Sama. "Regularization for State Constrained Optimal Control Problems by Half Spaces Based Decoupling."

*Systems and Control Letters*61. (2012): 707-713. Print.Baasansuren, Jadamba,

*et al*. "Proximal Point Methods for the Inverse Problem of Identifying Parameter in Beam Models."*Emerging Applications of Wavelet Methods*1463. (2012): 16-38. Print.Baasansuren, Jadamba and Fabio Raciti. "A Variational Inequality Approach to a Class of Environmental Equilibrium Problems."

*Applied Mathematics*3. (2012): 1723-1728. Web.Jadamba, Baasansuren, Akhtar A. Khan, and Miguel Sama. "Generalized Solutions of Quasi Variational Inequalities."

*Optimization Letters*6. (2012): 1221-1231. Print.Book Chapter

Jadamba, Baasansuren,

*et al*. "Regularization Methods for Scalar and Vector Control Problems."*Variational Analysis and Set Optimization.*Ed. Akhtar Khan, Elisabeth Koebis, and Christiane Tammer. Boca Raton, FL: CRC Press (Taylor and Francis), 2019. 321-340. Print.Strychalski, Wanda,

*et al*. "Fluid Dynamics of Nematocyst Prey Capture."*Understanding Complex Biological Systems with Mathematics.*Ed. Amy Radunskaya, Rebecca Segal, and Blerta Shtylla. New York, NY: Springer, 2018. 123-144. Print.Cho, Manki,

*et al*. "First-Order and Second-Order Adjoint Methods for the Inverse Problem of Identifying Nonlinear Parameters in PDEs."*Industrial Mathematics and Complex Systems.*New York, NY: Springer, 2017. 147-163. Print.Chugunova, M.,

*et al*. "Study of a Mixed Dispersal Population Dynamics Model."*The IMA Volumes in Mathematics and its Applications: Numerical Partial Differential Equations and Scientific Computing.*Ed. Susanne Brenner. New York, NY: Springer, 2016. 51-77. Print.Jadamba, B.,

*et al*. "Iterative Methods for the Elastography Inverse Problem of Locating Tumors."*Essays in Mathematics and its Applications.*Ed. T. M. Rassias and P. Pardalos. Cham, Switzerland, NA: Springer, 2016. 101-131. Print.Jadamba, Baasansuren and Fabio Raciti. "A Stochastic Model of Oligopolistic Market Equilibrium Problems."

*Optimization in Science and Engineering.*Ed. T. M. Rassias, C. A. Floudas, and S. Butenko. Berlin, Germany: Springer, 2014. 263-271. Print.Jadamba, Baasansuren, Akhtar A. Khan, and Miguel Sama. "Inverse Problems on Parameter Identification in Partial Differential Equations."

*Mathematical Methods, Models and Algorithms in Science and Technology.*Singapore: World Scientific, 2011. 228-258. Print.Invited Keynote/Presentation

Jadamba, Baasansuren. "Elasticity Imaging Inverse Problem in Incompressible Medium."

*Applied Inverse Problems (AIP).*Institut Fourier. Grenoble, France. 12 Jul. 2019. Conference Presentation.Jadamba, Baasansuren. "Parameter Identification in Saddle Point Systems."

*International Congress on Applied and Industrial Mathematics (ICIAM).*Sociedad Española de Matemática Aplicada. Valencia, Spain. 17 Jul. 2019. Conference Presentation.Jadamba, Baasansuren. "Mentoring and Promotion."

*International Congress on Applied and Industrial Mathematics (ICIAM).*Sociedad Española de Matemática Aplicada. Valencia, Spain. 16 Jul. 2019. Conference Presentation.Jadamba, Baasansuren. "Optimization Based Approaches for the Inverse Problem of Identifying Tumors."

*International Conference on Continuous Optimization.*Weierstrass Institute for Applied Analysis and Stochastics (WIAS). Berlin, Germany. 6 Aug. 2019. Conference Presentation.Jadamba, Baasansuren. "Optimization Methods for the Elastography Inverse Problem."

*Inverse Problems Symposium.*Michigan State University. East Lansing, MI. 4 Jun. 2018. Conference Presentation.Jadamba, Baasansuren. "Minimization of a principal eigenvalue in a mixed dispersal model."

*Canadian Mathematical Society Winter Meeting.*Canadian Mathematical Society. Niagara Falls, Ontario. 3 Nov. 2016. Conference Presentation.Jadamba, Baasansuren. "First- and second-order adjoint method for parameter identification."

*Modeling and Optimization: Theory and Applications (MOPTA).*Lehigh University. Bethlehem, PA. 17 Aug. 2016. Conference Presentation.Jadamba, Baasansuren. "Nonlinear Parameter Identification in Variational Problems."

*11th AIMS Conference on Dynamical Systems, Differential Equations.*American Institute of Mathematical Sciences. Orlando, FL. 3 Jul. 2016. Conference Presentation.Jadamba, Baasansuren. "Non-smooth Optimization Framework for Elastography Inverse Problem of Tumor Identification."

*SIAM Conference on Optimization.*Society for Industrial and Applied Mathematics. Vancouver, BC. 24 May 2017. Conference Presentation.Jadamba, Baasansuren. "Mixed Dispersal Model of Population Dynamics."

*Department of Mathematics and its Applications Colloquium.*UNED. Madrid, Spain, Madrid. 4 Jul. 2017. Guest Lecture.Jadamba, Baasansuren. "Study of a Mixed Dispersal Model of Population Dynamics."

*Institute of Mathematics Colloquium.*Martin-Luther University of Halle-Wittenberg. Halle, Germany, Sachsen-Anhalt. 22 Jun. 2017. Guest Lecture.Jadamba, Baasansuren. "Stability of an Equation Error Approach for an Inverse Problem."

*Joint Mathematics Meeting.*American Mathematical Society. San Antonio, TX. 10 Jan. 2015. Conference Presentation.Jadamba, Baasansuren. "Equation Error Approach for Elasticity Imaging Inverse Problem."

*Modeling and Optimization: Theory and Applications (MOPTA).*Lehigh University. Bethlehem, PA. 20 Jul. 2015. Conference Presentation.Jadamba, Baasansuren. "Minimization of a Principal Eigenvalue of a Mixed Dispersal Model."

*22nd International Symposium on Mathematical Programming.*Mathematical Optimization Society. Pittsburgh, PA. 13 Jul. 2015. Conference Presentation.Jadamba, Baasansuren. "An Equation Error Approach for the Elasticity Imaging Inverse Problem."

*Inverse Problems: Modeling and Simulation.*Izmir University. Fethiye, Turkey. 29 May 2014. Conference Presentation.Baasansuren, Jadamba. "Finite Element Error Estimates for a Phase Field Model for Mixtures."

*Department Colloquium.*University of Catania. Catania, Italy. 7 Mar. 2012. Guest Lecture.Baasansuren, Jadamba. "Regularization of Stochastic Variational Inequalities and Comparison of an Lp and a Sample-Path Approach."

*21st International Symposium on Mathematical Programming.*Mathematical Optimization Society. Berlin, Germany. 24 Aug. 2012. Conference Presentation.Baasansuren, Jadamba. "Regularization of Stochastic Variational Inequalities and Comparison of an Lp and a Sample-Path Approach."

*Eastern Sectional Meeting.*American Mathematical Society. Rochester, NY. 22 Sep. 2012. Conference Presentation.Jadamba, Baasansuren. "Error Estimates for Modified Output Least Squares for Elliptic Partial Differential Equations."

*International Congress on Industrial and Applied Mathematics.*SIAM. Vancouver Convention Centre, Vancouver, Canada. 18 Jul. 2011. Conference Presentation.Published Conference Proceedings

Jadamba, Baasansuren and Fabio Raciti. "A Variational Inequality Formulation of a Migration Model with Random Data."

*Proceedings of the Modeling and Optimization: Theory and Applications.*Ed. Martin Takac, Tamas Terlaky. New York, NY: Springer, 2017. Print.Cho, Manki,

*et al*. "Identification in Mixed Variational Problems by Adjoint Methods with Applications."*Proceedings of the Modeling and Optimization: Theory and Applications.*Ed. Martin Takac, Tamas Terlaky. New York, NY: Springer, 2017. Print.Published Article

Eck, Ch., B. Jadamba and P. Knabner. “Error Estimates for a Finite Element Discretization of a Phase Field Model for Mixtures.”

*SIAM Journal on Numerical Analysis*, 47.6 (2010):4429-4445. Print. *## Currently Teaching

MATH-790

Research & Thesis

0 - 9 Credits

Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.

MATH-495

Undergraduate Research in Mathematical Sciences

1 - 3 Credits

This course is a faculty-directed project that could be considered original in nature. The level of work is appropriate for students in their final two years of undergraduate study.

MATH-411

Numerical Analysis

3 Credits

This course covers numerical techniques for the solution of nonlinear equations, interpolation, differentiation, integration, and the solution of initial value problems.

MATH-625

Applied Inverse Problems

3 Credits

Most models in applied and social sciences are formulated using the broad spectrum of linear and nonlinear partial differential equations involving parameters characterizing specific physical characteristics of the underlying model. Inverse problems seek to determine such parameters from the measured data and have many applications in medicine, economics, and engineering. This course will provide a thorough introduction to inverse problems and will equip students with skills for solving them. The topics of the course include existence results, discretization, optimization formulation, and computational methods.

MATH-241

Linear Algebra

3 Credits

This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.

MATH-326

Boundary Value Problems

3 Credits

This course provides an introduction to boundary value problems. Topics include Fourier series, separation of variables, Laplace's equation, the heat equation, and the wave equation in Cartesian and polar coordinate systems.