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Gillman, Adrianna Marie Assistant Professor

Positions

Research Areas research areas

Research

research overview

  • Adrianna Gillman's research focuses on developing efficient, accurate and robust numerical methods for approximating solutions to partial differential equations. The algorithms she develops allows users to simulate physical phenomena on a desktop computer that is regularly shipped out to super computer. Her research specialties include scattering, imaging, and fluid simulations.

keywords

  • numerical linear algebra, numerical partial differential equations, integral equations, high order discretizations

Publications

selected publications

Teaching

courses taught

  • APPM 1360 - Calculus 2 for Engineers
    Primary Instructor - Spring 2020
    Continuation of APPM 1350. Focuses on applications of the definite integral, methods of integration, improper integrals, Taylor's theorem, and infinite series. Degree credit not granted for this course and MATH 2300.
  • APPM 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Fall 2019
    Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4650.
  • APPM 4660 - Intermediate Numerical Analysis 2
    Primary Instructor - Spring 2021
    Continuation of APPM 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving partial differential equations. Department enforced prerequisite: knowledge of a programming language. Same as MATH 4660.
  • APPM 5600 - Numerical Analysis 1
    Primary Instructor - Fall 2020
    Solution of nonlinear algebraic equations, interpolation, integration, approximation, and numerical linear algebra. Department enforced prerequisite: APPM 3310 or MATH 2130 and experience with a scientific programming language.
  • APPM 8000 - Colloquium in Applied Mathematics
    Primary Instructor - Spring 2020
    Introduces graduate students to the major research foci of the Department of Applied Mathematics.
  • MATH 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Fall 2019
    Focuses on numerical solution of nonlinear equations, interpolation, methods in numerical integration, numerical solution of linear systems, and matrix eigenvalue problems. Stresses significant computer applications and software. Department enforced restriction: knowledge of a programming language. Same as APPM 4650.
  • MATH 4660 - Intermediate Numerical Analysis 2
    Primary Instructor - Spring 2021
    Continuation of MATH 4650. Examines numerical solution of initial-value problems and two-point boundary-value problems for ordinary differential equations. Also looks at numerical methods for solving partial differential equations. Same as APPM 4660.
  • MATH 5600 - Numerical Analysis 1
    Primary Instructor - Fall 2020
    Solution of nonlinear algebraic equations, interpolation, approximation theory and numerical integration. Department enforced prerequisites: MATH 2130 or MATH 2135 or APPM 3310 and experience with a scientific programming language. Instructor consent required for undergraduates.

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