Rakhim Aitbayev, Ph.D.

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1 Curriculum Vitae 1 Rakhim Aitbayev, Ph.D. Department of Mathematics New Mexico Institute of Mining and Technology Socorro, New Mexico phone: (575) aitbayev@nmt.edu webpage: aitbayev SPECIALIZATION Applied Mathematics/ Numerical Analysis/ Numerical Methods for PDEs EMPLOYMENT HISTORY Apr present, Associate Professor of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, U.S.A. Aug Apr. 2006, Assistant Professor of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, U.S.A. May 2000 May 2001, Senior Lecturer, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, U.S.A. Aug May 2000, Visiting Assistant Professor of Mathematics, Colorado State University, Fort Collins, Colorado, U.S.A. Nov Aug. 1999, Professional Research Assistant, Department of Computer Science, University of Colorado at Boulder, Boulder, Colorado, U.S.A. Jan May 1999, Adjunct Instructor, Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, Colorado, U.S.A. Aug Dec. 1997, Research Assistant, Center for Computational Sciences, University of Kentucky, Lexington, Kentucky, U.S.A. Aug May 1994, Teaching Assistant, Department of Mathematics, University of Kentucky, Lexington, Kentucky, U.S.A. Jul Nov. 1989, Assistant Lecturer, Chair of Applied Analysis, Faculty of Mechanics and Applied Mathematics, Kazakh State University, Almaty, Kazakhstan. EDUCATION Ph.D. in mathematics, 1998, University of Kentucky, Lexington, Kentucky, U.S.A. Dissertation Orthogonal spline collocation for nonlinear elliptic boundary value problems, adviser Prof. Bernard Bialecki; major concentration numerical analysis; minor concentration partial differential equations. 1 Updated December, 2012.

2 Curriculum Vitae of Rakhim Aitbayev 2 Candidate of physico-mathematical sciences, 1992, Kazakh State University, Almaty, Kazakhstan Specialization application of computers, mathematical modeling and mathematical methods in scientific research; dissertation Finite difference schemes for nonlinear differential equations modeling filtration and hydraulic processes, adviser Prof. Shaltay Smagulov Higher education diploma with honors in applied mathematics, 1988, Kazakh State University, Almaty, Kazakhstan Specialization computational methods for solving problems in mathematics, economics and control; thesis Finite difference schemes for Saint- Venant s equations, adviser Prof. Shaltay Smagulov TEACHING EXPERIENCE Undergraduate courses calculus discrete mathematics linear algebra numerical analysis numerical linear algebra ordinary differential equations partial differential equations vector analysis Graduate courses computational fluid dynamics finite element method numerical methods for sparse linear systems numerical methods for partial differential equations numerical methods for wave propagation numerical modeling and simulation with COMSOL Multiphysics GRADUATE STUDENT ADVISING 1. Michael Culp (M.S., 2012) studied the OSC method for 2-D elliptic problems with general boundary conditions, the OSC solution of a singular BVP with Dirichlet Neumann boundary condition, and computation of the stress intensity factor.

3 Curriculum Vitae of Rakhim Aitbayev 3 2. Tuguluke Abulitibu (M.S., 2012) studied the discontinuous Galerkin method for solving model two-point boundary value problems with various regularity assumptions, interface problems, and problems with non-smooth or dicontinuous coefficients. 3. Luis Zeron (Ph. D., in progress) Research topic: Numerical modeling of two-phase fluid flows. RESEARCH INTERESTS Orthogonal spline collocation (OSC) method OSC method for PDEs with singular solutions: mixed boundary conditions, discontinuous coefficients, irregular domains OSC method for a nonlinear elliptic boundary value problem: error analysis and solution methods Multilevel preconditioners for nonselfadjoint or indefinite OSC problems Preconditioned conjugate gradient method for nonselfadjoint or indefinite OSC problems Matrix decomposition algorithms for OSC problems Quadrature finite element Galerkin schemes Domain decomposition methods Preconditioning techniques FUNDED COLLABORATION Exploring acoustic nonlinearity for monitoring complex aerospace structures, AFRL project, P.I. Andrei Zagrai, Department of Mechanical Engineering, New Mexico Tech. Developed COMSOL multiphysics models of magneto-elastic active sensors that coupled electromagnetics and acoustics equations. Enhanced oil recovery techniques, DOE project, P.I. Sayavur Bakhtiyarov, Department of Mechanical Engineering, New Mexico Tech. COMSOL multiphysics simulations of various effects in multiphase fluid flows. Direct energy tactical operations system simulation, AFRL project, P.I. Scott Tear, Dept. of Electrical Engineering, New Mexico Tech. Developed mathematical and numerical models of thermal blooming effects in laser operations. CONFERENCES 16th International Conference on Domain Decomposition Methods, New York University, New York City, January 12 15, Contributed presentation Convergence Analysis and Multilevel Preconditioners for a Quadrature Galerkin Approximation of a Biharmonic Problem

4 Curriculum Vitae of Rakhim Aitbayev 4 The Eight Copper Mountain Conference on Iterative methods, Copper Mountain, Colorado, March 28 April 2, Contributed presentation Multilevel preconditioners for nonselfadjoint or indefinite orthogonal spline collocation problems. Directed Energy Modeling and Simulation Conference, Albuquerque, New Mexico, March Platform independent interface for using supercomputers in modeling and simulation of directed energy weapons, S. Tear, D. Driscoll, M. Nunez, R. Aitbayev, V. Romero, S. Doerr, H. Schreiber, T. Lawson, G. Gusciora, C. Holmberg, L. Rigdon (presented by S. Tear). Regional meeting of the Southwestern Section of the Mathematical Association of America, April Section chair. Parallel Computational Fluid Dynamics 1999 Conference, Williamsburg, Virginia, May, Contributed presentation Parallel two-level methods for three-dimensional transonic compressible flow simulations on unstructured meshes with X.-C. Cai and M. Paraschivoiu. WORKSHOPS Academic Assessment Workshop, Lisle, Illinois, February 7 9, Workshop, Introduction to COMSOL Multiphysics, organized by Brian Adolf, COM- SOL Inc, November 8, 2005, Albuquerque, at Imaging Concepts of New Mexico. Introduction to Domain Decomposition Methods, organized by Olof Widlund and David Keyes, January 12, 2005, New York University. Introduction to PETSc, organized by the PETSc Project Group, Argonne National Laboratory, January 11, 2005, Columbia University. Trilinos Project, organized by Michael Heroux (Sandia National Laboratories), Copper Mountain, Colorado, March 28 April 2, PDE Constrained Optimization, March 31, 7:30-10:00 pm, organized by Eldad Haber (Emory University), Copper Mountain, Colorado, March 28 April 2, INSTITUTIONAL SERVICE Computing on Campus Committee Academic Tenure and Freedom Committee Academic Standards and Admission Committee General Degree Requirement Assessment Committee, chair Budget, Funding and Support Committee Dept of Mathematics Faculty Search Committees Ph.D. advising committees M.S. advising committees B.S. advisor

5 Curriculum Vitae of Rakhim Aitbayev 5 PROFESSIONAL MEMBERSHIPS Society for Industrial and Applied Mathematics (since 2002) BOOK REVIEWS Introduction to Numerical Analysis, by Brian Bradie, Prentice Hall, 2005 Proposal feedback on the third edition of David Watkins Fundamentals of Matrix Computations, Wiley, JOURNAL ARTICLE REVIEWS Numerical Methods for Partial Differential Equations, Wiley Applied Numerical Mathematics, Elsevier Numerical Algorithms, Springer Advances in Difference Equations, Hindawi Publishing Journal of King Saud University (Science)