R. Corban Harwood Research Bibliography


Peer Reviewed Publications

R. C. Harwood, "Steady and Stable: Numerical Investigations of Nonlinear Partial Differential Equations." Contributed Chapter in A. Wootton, V. Peterson, C. Lee. (Ed.) A Primer for Undegraduate Research: From Groups and Tiles to Frames and Vaccines (In press).

R. Corban Harwood, "Logistics of Mathematical Modeling-Focused Projects," PRIMUS: Special Issue on Project-Based Curricula (In press). doi:10.1080/10511970.2016.1277813.

R. Corban Harwood, "Simulating the Spread of the Common Cold," SIMIODE, 1(37) pp. 1–13, November 2016.

R. Corban Harwood, "Algal Blooms Threatening Lake Chapala," SIMIODE, 1(65) pp. 1–13, July 2016.

R. Corban Harwood, "Algae Population Self-Replenishment," SIMIODE, 6(20) pp. 1–11, December 2015.

R. Corban Harwood, V. S. Manoranjan, Dean Edwards, "Lead-Acid Battery Model under Discharge with Fast Splitting Method," IEEE Transactions On Energy Conversion, Vol. 26 (4) pp. 1109-1117, 2011.

V. S. Manoranjan, M. A. O. Gomez, and R. C. Harwood, "Modeling Algae Self-Replenishment," Journal of Interdisciplinary Mathematics, Vol. 11, pp. 681-694, 2008.

L. Bai, M. Stamps, R. Harwood, C. Kollmann, "An Evolutionary Method for the Minimum Toll Booth Problem: the Methodology," Academy of Information and Management Sciences Journal, Vol. 11, No. 2, pp. 33-51, 2008.


Presentations

"Integrating Projects into Curriculum to Deepen Student Understanding," Teaching Mathematics, Regional PNW MAA Conference (2017) Spokane, WA.

"Using Eigenvalues to Investigate Numerical Oscillations," Junior Faculty Research, Regional PNW MAA & NUMS Joint Conference (2016) Corvalis, OR.

"Mathematics: Language of Creation," Sandals: Adult Sunday School, Newberg Friends Church (2016) Newberg, OR.

"Relating Eigenvalues to Stability of Numerical Solutions," Pacific University Mathematics Colloquium Series, Pacific University (2016) Forest Grove, OR.

"Encouraging Deeper Understanding Through Mathematical Modeling-Focused Projects," Project-Based Curriculum, National MAA Conference (2014) Portland, OR.

"Connecting Numerical Oscillations to Eigenvalues in Solving Partial Differential Equations," Junior
Faculty Research, Regional PNW MAA Conference (2014) Missoula, MT.

"A Stronger Definition of Numerical Stability," Invited Session Chair, Research in Applied Mathematics, Math Fest (2013) Hartford, CT.

"Oscillation-Free Stability Analysis for Linear and Semilinear Diffusion Equations," Invited Session Chair, Numerical Methods and Inverse, Optimization, and Variational Problems, Joint Mathematics Meetings (2013) San Diego, CA.

"Surprising Benefits of Operator Splitting Techniques," Special Session on Junior Faculty Research, MAA Pacific Northwest Sectional Meeting (2012) Portland, OR

"Research in Applied Mathematics," Invited Seminar Speaker: Preparing for a Career in STEM (2011) Whitworth University, Spokane, WA.

"Lead-Acid Battery Model under Discharge with Fast Splitting Method," SIAM Conference on Computational Science and Engineering (2011) Reno, NV.

"Oscillation-Free Operator Splitting Method for Semilinear Diffusion Equations," Joint Mathematical Meetings (2011) New Orleans, LA.


Advised Student Presentations

"Differentiating Physical and Numerical Oscillations in Solving the Advection Equation," Ellen Pearson, Analysis and Applications, Regional PNW MAA Conference (2017) Spokane, WA.

"Analyzing Transition Matrices of Chutes and Ladders Game Variant," Bryce Boyle and Matt DeBiaso, NUMS Student Presentations Session, Regional PNW MAA & NUMS Joint Conference (2016) Corvalis, OR.

"Shrinking Core Model of a Lithium Ion Battery," Erich VanBergen, MAA Poster Session, National AMS & MAA Joint Conference (2016) Seattle, WA.

"Quantifying Uncertainty of the Black-Scholes Model by Relaxing its Unrealistic Assumptions," Zihao Wang, Richter Student Scholars Symposium (2014) Newberg, OR.

"Quantifying Uncertainty of the Black-Scholes Model by Relaxing its Unrealistic Assumptions," Zihao Wang, National MAA Conference (2014) Portland, OR.

"Identifying Numerical Oscillations in Parabolic Differential Equations," Mitch Main, Poster Session, Regional Murdock College Science Research Conference (2013) Vancouver, WA.

"Identifying Numerical Oscillations in Parabolic Differential Equations," Mitch Main, Richter Scholars Seminar (2013) Newberg, OR.

"Lewis Carroll’s Curious Condensation Method for Evaluating Determinants," Micah Donor and Mitch Main, Pacific Northwest Section Meeting of the MAA (2013) Salem, OR.

"Generating Exotic-Looking Vector Spaces," Sarah Gibson and Josiah Shoemaker, Pacific Northwest Section Meeting of the MAA (2013) Salem, OR.

"Stable and Instability: Affine Drama of Transformations," Erika Stutts and Michael Vandeburg, Pacific Northwest Section Meeting of the MAA (2013) Salem, OR.



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