teaching

Math 140C

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Math 266A Computational PDE

Meeting Information

• Room: RH 114
• Day & time: M F 2:00pm to 3:20pm

Project and Homework

• Homework 1: Finite Difference Method Due date: Oct 12.
• Homework 2: Finite Element Method Due date: Oct 21.
• Project 1: Linear Finite Element Method Due date: Nov 6.
• Homework 3: Condition Number of Linear Systems from Finite Element Method Due date: Nov 16.

Syllabus

We shall focus on numerical solutions for the elliptic equations. Parabolic and Hyperbolic equations will be discussed in 226 B and C. More precisely, we plan to cover the following topics:

• Finite Difference and Finite Volume Method
• Sobolev spaces and Approximation theory
• Elliptic differential equations
• Finite element methods
• Fast solvers: Conjugate Gradient method and multigrid method
• Adaptive finite element methods

Lecture notes will be distributed in the class.

Grading

Your course grade will be determined by your cumulative average at the end of the term:

• 40% Homework
• 40% Matlab projects
• 20% Final Exam/Project

Teaching Experience

• Math 226 C: Computational Partial Differential Equations C. Spring 2009, Department of Mathematics, University of California at Irvine.
• Math 226 B: Computational Partial Differential Equation B. Winter 2009, Department of Mathematics, University of California at Irvine.
• Math 226 A: Computational Partial Differential Equations A. Fall 2008, Department of Mathematics, University of California at Irvine.
• Math 226 C: Computational Partial Differential Equations C. Spring 2008, Department of Mathematics, University of California at Irvine.
• Math 226 B: Computational Partial Differential Equations B. Winter 2008, Department of Mathematics, University of California at Irvine.
• Math 226 A: Computational Partial Differential Equations A. Fall 2007, Department of Mathematics, University of California at Irvine.
• Math 462: Partial Differential Equations for Scientists and Engineers. Spring 2007, Department of Mathematics. University of Maryland, College Park.
• Math 246: Differential Equations for Scientists and Engineers. Spring 2007, Department of Mathematics. University of Maryland, College Park.
• Math 20C: Calculus and Analytic Geometry for Science and Engineering. Winter 2006, Department of Mathematics. University of California at San Diego
• Math 20A: Calculus for Science and Engineering. Fall 2005, Department of Mathematics, University of California at San Diego
• Math 230: Multivariate and Vector Calculus. Spring 2004, Department of Mathematics, The Pennsylvania State University
• Math 230: Multivariate and Vector Calculus. Fall 2003, Department of Mathematics, The Pennsylvania State University
• Teaching Assistant. Aug. 2000 - Aug. 2002. Department of Mathematics, The Pennsylvania State University