Research

optimal control for partial differential equations
fluid dynamics, multi-physics problems (fluid-structure interaction, magnetohydrodynamics, fluid flows in porous media)
numerical analysis
finite element methods
boundary element methods
multigrid and domain decomposition methods
scientific computing, design of finite element software
numerical linear algebra, preconditioning

CURRICULUM VITAE

Teaching

COURSE ANNOUNCEMENT: TOPICS IN NUMERICAL ANALYSIS I-II

Description

At Texas Tech University:

Spring 2021, MATH 3350 - HIGHER MATHEMATICS FOR ENGINEERS AND SCIENTISTS I (Sections Honors and 022) syllabus
Fall 2020, MATH 2360 - LINEAR ALGEBRA (Sections Honors, D01, DC1) syllabus
Spring 2020, MATH 4330 - MATHEMATICAL COMPUTING syllabus
Spring 2020, MATH 3350 - HIGHER MATHEMATICS FOR ENGINEERS AND SCIENTISTS I (Honors) syllabus
Fall 2019, MATH 3354 - DIFFERENTIAL EQUATIONS I syllabus
Fall 2019, MATH 3350 - HIGHER MATHEMATICS FOR ENGINEERS AND SCIENTISTS I (Honors) syllabus
Spring 2019, MATH 2360 - LINEAR ALGEBRA (Sections Honors and 012) syllabus
Fall 2018, MATH 4354 - DIFFERENTIAL EQUATIONS II syllabus
Fall 2018, MATH 5344 - TOPICS IN NUMERICAL ANALYSIS I - FINITE ELEMENT METHODS syllabus
Spring 2018, MATH 5335 - NUMERICAL ANALYSIS II syllabus
Spring 2018, MATH 2360 - LINEAR ALGEBRA syllabus
Fall 2017, MATH 5334 - NUMERICAL ANALYSIS I syllabus
Fall 2017, MATH 4354 - DIFFERENTIAL EQUATIONS II syllabus
Spring 2017, MATH 2360 - LINEAR ALGEBRA syllabus
Fall 2016, MATH 2360 - LINEAR ALGEBRA syllabus
Spring 2016, MATH 5345 - TOPICS IN NUMERICAL ANALYSIS II syllabus
Spring 2016, MATH 4351 - ADVANCED CALCULUS II syllabus
Fall 2015, MATH 5344 - TOPICS IN NUMERICAL ANALYSIS I syllabus
Fall 2015, MATH 2360 - LINEAR ALGEBRA syllabus
Spring 2015, MATH 5335 - NUMERICAL ANALYSIS II syllabus
Fall 2014, MATH 5334 - NUMERICAL ANALYSIS I syllabus
Fall 2014, MATH 4354 - DIFFERENTIAL EQUATIONS II syllabus
Spring 2014, MATH 4350 - ADVANCED CALCULUS I syllabus
Fall 2013, MATH 4354 - DIFFERENTIAL EQUATIONS II syllabus
Spring 2013, MATH 3350 - HIGHER MATHEMATICS FOR ENGINEERS AND SCIENTISTS I (sections 14 and 15) syllabus
Fall 2012, MATH 2450 - CALCULUS III WITH APPLICATIONS (sections 14 and 16) syllabus