The #McMaster flag flies above University Hall.

COMPUTATIONAL SCIENCE ENGINEERING

I'm a computational science engineering (CSE) graduate student at McMaster University. Supervisor: Ned Nedialkov.

My masters thesis involved the design and development of software for computing validated (reliable) solutions of ordinary differential equations.

AWARDS

JUNE2017

Acknowledged at McMaster University for second place submission in Math Matters, Apply it! Contest. [link].

FEBRUARY2017

Second place submission by John Ernsthausen, McMaster University Chapter of SIAM, Math Matters, Apply it! Contest. I am most honored to be selected, and I am greatful for the cash prize. [link].

WINTER2017

First place presentation by John Ernsthausen, 2017 CSE Student Symposium presentation contest. Two awards awarded by the CSE department. I am most honored to be selected, and I am greatful for the gift card. [link].

TEACHING

WINTER2016

Elementary Computing and Computer Use tutorial leader. 62 students over 2 tutorials. Supervisor: John Nakamura.

FALL2015

Mathematical physics I. 92 students. Supervisor: Dmitry Pelinovsky.

WINTER2015

Computer science capstone fourth year projects. 14 projects. Supervisor: Rong Zheng.

FALL2014

Computer science capstone fourth year projects. 14 projects. Supervisor: Rong Zheng.

PUBLICATIONS

JCAM2020

“Stepsize selection in the rigorous defect control of Taylor series methods.” 368 Journal of Computational and Applied Mathematics, Ernsthausen, JM and Nedialkov, NS. (2020) [link]

MSC2018

“Rigorous defect control and the numerical solution of ordinary differential equations.” McMaster University, Ernsthausen, JM (2018). [link]

PRESENTATIONS

SONAD2019

Ernsthausen, J.M.: Stepsize Selection in the Rigorous Defect Control of Taylor Series Methods. Joint work with Nedialkov, N.S. Presentation at the 2019 Southern Ontario Numerical Analysis Day, University of Ontario Institute of Technology (2019) [link].

SCAN2018

Nedialkov, N.S.: Implementing Rigorous Defect Control. Joint work with Ernsthausen, J.M. Presentation at SCAN 2018, Waseda University, Tokyo (September 10-15, 2018).

TM2018

Ernsthausen, J.M.: Implementing Rigorous Defect Control. Joint work with Nedialkov, N.S. Presentation at the 8th Taylor Model Workshop, Fields Institute, University of Toronto (May 9-11, 2018) [link].

GREGYNOG2017

Nedialkov, N.S.: Rigorous Defect Control in Numerical Solution of IVP ODEs. Joint work with Ernsthausen, J.M. Presentation at the Welsh Mathematics Colloquium, Gregynog, Wales (May 22, 2017).

SONAD2017

Ernsthausen, J.M.: Rigorous Defect Control and the Numerical Solution of ODEs. Presentation at the 2017 Southern Ontario Numerical Analysis Day, McMaster University (2017) [link].

CSE2017

Ernsthausen, J.M.: Rigorous Defect Control and the Numerical Solution of ODEs. Presentation at the 2017 CSE Student Symposium, McMaster University (2016) [link].

CSE2016

Ernsthausen, J.M.: Defect Control in Taylor Series Methods. Presentation at the 2016 CSE Student Symposium, McMaster University (2016).

AMMCS2015

Ernsthausen, J.M.: On Solving Reduced Differential Equations. Presentation at the 2015 AMMCS-CAIMS Congress, University of Waterloo (2015) [link].

CSE2015

Ernsthausen, J.M.: Applying differential geometry to numerically solve differential equations. Presentation at the 2015 CSE Student Symposium, McMaster University (2015).

AMMCS2013

Ernsthausen, J.M.: Regular solutions of nonlinear differential-algebraic equations and their numerical determination. Presentation at the 2013 AMMCS, University of Waterloo (2013).