| Type: | Ph.D.-level, Open University
Language: English |
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Previous course: C0312
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No credit points with: C0312
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Prerequisite: 01246/04201
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Recommended semester: 4th -7th semester
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Scope and form: Lectures.
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Examination: Evaluation of three reports (13-scale)
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Participant limitation: max. 50
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Remarks: Relations to other courses: 04225 Nonlinear Partial Differential Equations, Solitons.
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URL: http://www.gbar.dtu.dk/~g04202
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Department: Informatics and Mathematical Modelling
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Aim: To show the student how to derive, analyze and solve partial differential equations from physics and engineering science.
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Contents: Analytical part: Classification of second-order partial differential equations. First-order systems. Fourier transformation of partial differential equations. The Green's function. Modelling by means of the calculus of variations.
Numerical part: The finite difference method, including stability and convergence analysis. Iterative solution of difference equations. Methods for first-order hyperbolic equations, including the method of characteristics. The finite element method.
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