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Appelo, Daniel E Associate Professor

Positions

Research Areas research areas

Research

research overview

  • Daniel's primary research interest is the development, analysis and implementation of fast, stable and accurate numerical algorithms for approximation of partial differential equations arising in engineering and natural sciences. Another research topic Daniel has focused on is the development of artificial boundary conditions that are required to solve time dependent partial differential equations on unbounded domains.

Publications

selected publications

Teaching

courses taught

  • APPM 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Fall 2018
    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 4720 - Open Topics in Applied Mathematics
    Primary Instructor - Spring 2018 / Fall 2019
    Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 15 total credit hours. Same as APPM 5720.
  • APPM 5600 - Numerical Analysis 1
    Primary Instructor - Fall 2019
    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 5720 - Open Topics in Applied Mathematics
    Primary Instructor - Spring 2018 / Fall 2019
    Provides a vehicle for the development and presentation of new topics that may be incorporated into the core courses in applied mathematics. Department enforced prerequisite: variable, depending on the topic, see instructor. May be repeated up to 6 total credit hours. Same as APPM 4720.
  • APPM 6610 - Introduction to Numerical Partial Differential Equations
    Primary Instructor - Fall 2018
    Covers finite difference, finite element, finite volume, pseudo-spectral, and spectral methods for elliptic, parabolic, and hyperbolic partial differential equations. Department enforced prerequisite: APPM 5600. Recommended prerequisite: APPM 5610 or graduate numerical linear algebra.
  • APPM 8000 - Colloquium in Applied Mathematics
    Primary Instructor - Fall 2018
    Introduces graduate students to the major research foci of the Department of Applied Mathematics.
  • APPM 8600 - Seminar in Computational Mathematics
    Primary Instructor - Spring 2019
    Introduces advanced topics and research in computational mathematics.
  • MATH 4650 - Intermediate Numerical Analysis 1
    Primary Instructor - Fall 2018
    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 5600 - Numerical Analysis 1
    Primary Instructor - Fall 2019
    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.

Background

International Activities

global connections related to teaching and scholarly work (in recent years)

Other Profiles