MATH 175/275:
NUMERICAL
METHODS
FOR
PDE
Instructor: Randolph E. Bank
Winter Quarter 2008
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The class meets MWF, 2:00-2:50, AP&M B412.
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Grades are based on homework (25%),
and the final exam (75%).
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The final exam is Monday, March 17, 3:00-6:00.
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Office hours are 4:00-5:00 Monday and Wednesday, AP&M 5701.
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The textbook is PDEs with Numerical Methods,
by Stig Larsson and Vidar Thomee.
Tentative Course Outline
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Chapter 1: Introduction
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Chapter 2: A Two-Point Boundary Value Problem
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Chapter 3: Elliptic Equations
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Chapter 4: Finite Difference Methods for Elliptic Equations
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Chapter 5: Finite Element Methods for Elliptic Equations
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Chapter 6: The Elliptic Eigenvalue Problem
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Chapter 7: Initial Value problems for ODEs
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Chapter 8: Parabolic Equations
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Chapter 9: Finite Difference Methods for Parabolic Equations
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Chapter 10: Finite Element Methods for Parabolic Equations
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Chapter 11: Hyperbolic Equations
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Chapter 12: Finite Difference Methods for Hyperbolic Equations
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Chapter 13: Finite Element Methods for Hyperbolic Equations
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Chapter 14: Some Other Classes of Numerical Methods
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Appendix A: Some Tools from Mathematical Analysis
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Appendix B: Orientation on Numerical Linear Algebra
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