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2000 Simcoe Street North
Oshawa, Ontario L1G 0C5
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Ontario Tech University is the brand name used to refer to the University of Ontario Institute of Technology.

Ontario Tech acknowledges the lands and people of the Mississaugas of Scugog Island First Nation which is covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. Learn more.

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Ontario Tech University

Dec 26, 2024

2023-2024 Graduate Calendar

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2023-2024 Graduate Calendar [ARCHIVED CALENDAR]

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MCSC 6125G - Numerical Methods for Partial Differential Equations

Partial differential equations (PDEs) constitute a vital modelling tool in science and a rich field of mathematical research. This course is an introduction to the mathematical concepts required to develop accurate, reliable and efficient numerical software for the approximate solution of PDEs. Essential model problems of elliptic, parabolic and hyperbolic type are examined with corresponding numerical approximation techniques. Approximation schemes are compared and contrasted with an emphasis on the convenience of available software as well as error estimation, consistency, stability and convergence. Topics may include finite-difference, finite-element, finite-volume and spectral collocation methods; Von Neumann analysis; time-stepping algorithms and the method of lines; dissipation and dispersion; error estimates; and iterative methods.
Credit hours: 3
Prerequisite(s): MCSC 6020G .

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