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http://ocw.mit.edu/OcwWeb/Aeronautics-and-Astronautics/16-920JNumerical-Methods-for-Partial-Differential-EquationsSpring2003/LectureNotes/index.htm
LECTURE SLIDES LECTURE NOTES
Numerical Methods for Partial Differential Equations (PDF) (PDF - 1.0 MB)
Finite Difference Discretization of Elliptic Equations: 1D Problem (PDF) (PDF - 1.6 MB)
Finite Difference Discretization of Elliptic Equations: FD Formulas and Multidimensional Problems (PDF) (PDF - 1.0 MB)
Finite Differences: Parabolic Problems (PDF) (PDF)
Solution Methods: Iterative Techniques (PDF) (PDF - 1.0 MB)
Iterative Methods: Multigrid Techniques (PDF) (PDF)
Finite Difference Discretization of Hyperbolic Equations: Linear Problems (PDF - 1.7 MB) (PDF - 2.4 MB)
Hyperbolic Equations: Scalar One-Dimensional Conservation Laws (PDF) (PDF - 1.4 MB)
Numerical Schemes for Scalar One-Dimensional Conservation Laws (PDF) (PDF - 1.4 MB)
Finite Element Methods for Elliptic Problems; Variational Formulation: The Poisson Problem (PDF) (PDF - 1.2 MB)
Discretization of the Poisson Problem in IR1: Formulation (PDF) (PDF - 1.5 MB)
Discretization of the Poisson Problem in IR1: Theory and Implementation (PDF - 1.9 MB) (PDF - 2.5 MB)
FEM for the Poisson Problem in IR2 (PDF) (PDF - 1.6 MB)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 1: Discretization of Boundary Integral Equations (PDF - 1.0 MB) (PDF)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 2: Numerical Quadrature (PDF) (PDF)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 3: Discretization Convergence Theory (PDF) (PDF)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 4: Formulating Boundary Integral Equations (PDF) (PDF)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 5: First and Second Kind Potential Equations (PDF)
Numerical Methods for PEDs, Integral Equation Methods, Lecture 6: Discretization and Quadrature (PDF) |
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