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Lecturer(s)
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Kantor Martin, Ing. Ph.D.
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Course content
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1. The term physical, mathematical and numerical model. 2. Differential and integral equations, differential equations basic division. 3. Basic concepts of continuum mechanics. 4. Basic numerical methods: interpolation, approximation, solving linear algebra, solving nonlinear equations. 5. Variation methods. 6. Numerical methods for solving differential equations - finite differences, finite element, finite volume method. 7. Heat equation, wave equation, advection equations - Numerical solutions. 8. Basic algorithms of numerical models. 9. Elements of Discrete Mathematics
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Learning activities and teaching methods
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unspecified
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Learning outcomes
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In this course students acquire knowledge in the areas of modern mathematics (with emphasis on differential equations and numerical methods), so that they can analyze the models, suggesting numerical schemes to their approximation and make computer simulation. The course includes some statistical methods that extend the range of its operation into all the sciences and conclusions přiřadit allow a degree of reliability.
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Prerequisites
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Knowledge of basic methods emerging in solving physical problems described by mathematical models.
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Assessment methods and criteria
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unspecified
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Recommended literature
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J. Cihlář. Pravděpodobnost , 1982.
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J. Cihlář. Statistika , 1982.
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Z. Burianec. Analýza dynamických procesů, SNTL Praha, 1979.
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