| NMAB22 | Scientific Computing part 2, 7,5 ECTS credits. /Tekniska beräkningar, del 2/ |
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Prel. scheduled
hours: 40 |
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Area of Education: Science Subject area: Mathematics |
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| Advancement level
(A-D): B
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| Aim: The course provides basic knowledge about numerical methods for solving mathematical problems, with applications in technology and science. Special attention is paid to matters concerning accuracy and efficiency. The course also gives practical familarity with numerical computations on calculators and computers. |
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| Prerequisites: (valid for students admitted to programmes within which the course is offered) NMA21 Scientific Computing part 1 and Matla Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding. |
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| Supplementary courses: TANA70 Fortran. TANA25 Numerical Methods II. TANA60 Numerical solution of partial differential equations. TANA77 Programming of Parallel Computers - Scientific Computations |
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| Organisation: The theory is presented in the lectures. The exercises exemplify the theory. The computer exercises investigate numerical properties of algorithms and software. |
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| Course contents: Sources of numerical errors and error propagation. Solution of nonlinear equations: The bisection method. Newton's method. Error estimation. Theory of fixed point iteration. Numerical differentiation and Richardson extrapolation. Numerical integration: The trapezoidal rule and Romberg's method. The initial value problem: Euler's method and Runge Kutta methods. The boundary value problem: The finite difference method. Numerical methods for partial differential equations and iterative solution of linear systems |
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| Course literature: Eldén, Wittmeyer-Koch, Numeriska beräkningar-analys och illustrationer med Matlab. Studentlitteratur. Elfving m.fl., Numeriska beräkningar, en exempelsamling. Studentlitteratur. Material from the department. |
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| Examination: | |||
| Written examination Laboratory work |
2,5 p 2,5 p |
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Course language is Swedish. Department offering the course: MAI. Director of Studies: Tommy Elfving Examiner: Tommy Elfving Course Syllabus in Swedish |
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