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Numerical
Analysis II
MTH/CS 7176 SYLLABUS
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WEEK
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TOPIC |
READING
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1
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Background and Review |
NMDE
1.1, 1.2, 2.1 |
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2
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Finite Differences |
NMDE
2.2, 2.3, 2.4 |
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3
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" |
NMDE
2.5, 2.6 , Notes |
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4
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Using finite differneces, stiff equations |
NMDE
2.6 , Notes |
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5
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Review of PDEs, conservation laws |
NMDE
1.3 , Notes |
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6
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Solving PDEs with FD, stencils |
NMDE
2.7, 2.8 |
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7
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Finite volume methods, UD |
Notes |
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8
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Design of Approximation: spatial |
NMDE
4.1 |
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9
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Design of Approximation: Stability |
NMDE
4.2, 4.3 |
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10
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Error Control |
NMDE
5.1.1, 5.1.2, 5.2.1 |
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