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Week
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Topics
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Study Metarials
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1
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Difference methods of elliptic partial differential equations: Dirichlet problem, Crank-Nicholson methods
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R1) Lecture notes
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2
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Iteration methods, Jacobi, Gauss-Seidel, SOR, Richardson method
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R1) Lecture notes
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3
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Alternating direction method
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R1) Lecture notes
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4
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Finite element methods; Weighted residual methods: Least squares method, division method
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R1) Lecture notes
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5
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Galerkin method, method of moment, Collocation method
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R1) Lecture notes
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6
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Variational methods: Ritz method
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R1) Lecture notes
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7
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Finite elements: Line element, triangle element
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R1) Lecture notes
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8
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Quadrilateral elements, polygonal elements
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R1) Lecture notes
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9
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Curved boundary element, numerical integration by finite element
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R1) Lecture notes
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10
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Ritz finite element method
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R1) Lecture notes
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11
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Least squares finite element, Galerkin finite element methods; convergence analysis
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R1) Lecture notes
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12
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Boundary value problems for partial differential equations, forming element equations, mixed conditions, Galerkin method
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R1) Lecture notes
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13
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Methods for nonlinear equations
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R1) Lecture notes
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14
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Initial boundary value problems: parabolic equation, first order hyperbolic equation
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R1) Lecture notes
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