Event Title

Nonstandard Finite Difference Schemes for a Nonlinear World

Location

Peter Engel Science Center, Saint John's University

Start Date

13-4-2019 10:30 AM

End Date

13-4-2019 11:30 AM

Description

Many real-world phenomena tend to be modeled via nonlinear models. In the late 1980's, Ronald Mickens of Clark Atlanta University introduced the concept of a nonstandard finite difference scheme (NSFD) as a methodology which would best approximate solutions to systems of nonlinear differential equations. This talk will show how to construct NSFD schemes for various nonlinear models, including the models for the spread of a disease models and the models for the infamous Tacoma Narrows Bridge.

Speaker biography:

Dr. Talitha Washington is an Associate Professor of Mathematics at Howard University. She attended Spelman College (BSc), and the University of Connecticut (MSc,PhD). She was a VIGRE post-doctoral research associate at Duke University, and held assistant professorships at The College of New Rochelle and University of Evansville. She is currently interested in the applications of differential equations to problems in biology and engineering, as well as the development of nonstandard finite difference schemes to numerically solve dynamical systems.

Dr. Washington is also interested in education policy, especially advocating best practices for underrepresented students in STEM. She has been awarded a prestigious appointment by the NSF as the Division of Undergraduate Education Program Director for the Improving Undergraduate STEM Education program. She received the 2019 BEYA STEM Innovator Award at the Black Engineer of the Year Awards Conference.

She serves on the Council of the American Mathematical Society and has previously served on the Executive Committee of the Association for Women in Mathematics. She is active in programs led by the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science, Enhancing Diversity in Graduate Education, and Mathematical Biosciences Institute Research Experiences for Undergraduates. Dr. Washington has also taken up the cause of sharing the story of the previously unheralded, but vastly important, history of the first Black person to earn a PhD in mathematics (1925), Dr. Elbert Frank Cox. Her work has been shared on radio and television, often showing his mathematics that appears in the film Hidden Figures. Dr. Washington continues to be a motivational speaker who enjoys sharing her expertise on STEM diversity and applied mathematics to all audiences.

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Apr 13th, 10:30 AM Apr 13th, 11:30 AM

Nonstandard Finite Difference Schemes for a Nonlinear World

Peter Engel Science Center, Saint John's University

Many real-world phenomena tend to be modeled via nonlinear models. In the late 1980's, Ronald Mickens of Clark Atlanta University introduced the concept of a nonstandard finite difference scheme (NSFD) as a methodology which would best approximate solutions to systems of nonlinear differential equations. This talk will show how to construct NSFD schemes for various nonlinear models, including the models for the spread of a disease models and the models for the infamous Tacoma Narrows Bridge.

Speaker biography:

Dr. Talitha Washington is an Associate Professor of Mathematics at Howard University. She attended Spelman College (BSc), and the University of Connecticut (MSc,PhD). She was a VIGRE post-doctoral research associate at Duke University, and held assistant professorships at The College of New Rochelle and University of Evansville. She is currently interested in the applications of differential equations to problems in biology and engineering, as well as the development of nonstandard finite difference schemes to numerically solve dynamical systems.

Dr. Washington is also interested in education policy, especially advocating best practices for underrepresented students in STEM. She has been awarded a prestigious appointment by the NSF as the Division of Undergraduate Education Program Director for the Improving Undergraduate STEM Education program. She received the 2019 BEYA STEM Innovator Award at the Black Engineer of the Year Awards Conference.

She serves on the Council of the American Mathematical Society and has previously served on the Executive Committee of the Association for Women in Mathematics. She is active in programs led by the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science, Enhancing Diversity in Graduate Education, and Mathematical Biosciences Institute Research Experiences for Undergraduates. Dr. Washington has also taken up the cause of sharing the story of the previously unheralded, but vastly important, history of the first Black person to earn a PhD in mathematics (1925), Dr. Elbert Frank Cox. Her work has been shared on radio and television, often showing his mathematics that appears in the film Hidden Figures. Dr. Washington continues to be a motivational speaker who enjoys sharing her expertise on STEM diversity and applied mathematics to all audiences.