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.
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, pseudospectral, 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.
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.