Christopher Harder

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Christopher Harder

Associate Professor of Mathematics and Statistics

Mathematics & Statistics

Bio

Originally from the Denver area, I have obtained all levels of my education on the Auraria Campus: B.S., MSCD; M.S. and Ph.D., UCD. I spent two years as a postdoc in a computational science laboratory in Petropolis, Brazil (LNCC).

Degree

PhD in Applied Mathematics

University of Colorado Denver

MS in Applied Mathematics

University of Colorado Denver

BS in Mathematics

Metropolitan State College of Denver

Published Works

  • Poole, B. S., Bouwmeester, H., Harder, E. C. . Numerical Analysis. ,
  • Araya, R., Harder, E. C., Poza, A., Valentin, F. . Multiscale Hybrid-Mixed Method for the Stokes and Brinkman Equations - The Analysis. (in press).
  • Araya, R., Harder, E. C., Poza, A., Valentin, F. (2017). Multiscale hybrid-mixed method for the Stokes and Brinkman Equations - The method. Computer Methods in Applied Mechanics and Engineering, 3249-53. .
  • Harder, E. C., Valentin, F. (2016). Foundations of the MHM method. (Issue 1, pp 35). Springer.
  • Harder, E. C., Madureira, A., Valentin, F. (2016). A Hybrid-Mixed Method for Elasticity. ESAIM: Mathematical Modelling and Numerical Analysis, 50(2), 311-336. https://doi.org/10.1051/m2an/2015046.
  • Harder, E. C., Paredes, D., Valentin, F. (2015). On a multiscale hybrid-mixed method for advective-reactive dominated problems with heterogeneous coefficients. SIAM Multiscale Modeling and Simulation, 13(2), 491-518. https://doi.org/10.1137/130938499.
  • Araya, R., Harder, E. C., Paredes, D., Valentin, F. (2013). Multiscale Hybrid-Mixed Method. SIAM Journal on Numerical Analysis, 51(6), 3505–3531. https://doi.org/10.1137/120888223.
  • Harder, E. C., Paredes, D., Valentin, F. (2013). A Family of Multiscale Hybrid-Mixed Finite Element Methods for the Darcy Equation with Rough Coefficients. Journal of Computational Physics, 24507-130. https://doi.org/10.1016/j.jcp.2013.03.019.
  • Fernando, H., Harder, E. C., Paredes, D., Valentin, F. (2012). Numerical Multiscale Methods for a Reaction-Diffusion Model. Computer Methods in Applied Mechanics and Engineering, 201-20428-244. https://doi.org/10.1016/j.cma.2011.09.007.
  • Franca, P. L., Harder, E. C., Valentin, F. (2009). On a Residual Local Projection Method for the Darcy Equation. Comptes Rendus Mathematique, 347(17), 1105-1110. https://doi.org/10.1016/j.crma.2009.06.016.

Research Interests

My current research is focused on numerical methods for solving Partial Differential Equations. I am also interested in linear solvers and preconditioners and I hope to contribute research in these areas in the future.

Teaching Interests

I enjoy all areas of mathematics. I enjoy teaching intro level classes such as College Algebra, Trigonometry, and Calculus, as well as upper division courses such as Linear Algebra, Differential Equations, Numerical Analysis

Office Hours

Tuesday - [8:30-9am][2-2:50pm]

Thursday - [8:30-9am][2-2:50pm]