F5330 Basic numerical methods

Faculty of Science
Autumn 1999
Extent and Intensity
1/1/0. 3 credit(s). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Václav Holý, CSc. (lecturer)
Guaranteed by
prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Václav Holý, CSc.
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Syllabus
  • Storage of numerical data in a computr. Errors in muerical algorthms, propagation of the errors. Stability of the algorthims. Ill-posed methods. Systems of linear algebraic equations, direct and iteration metods. The Gauss elimination method, pivoting. LU decomposition. Systems with special matrices. The Choleski theorem and the Choleski method. The iteration methods, the Jacobi method, the Gauss-Seidel method. The problem of the convergence of the iteration methods. Eigenvalues and eigenvectors of matrices. The Jacobi-method. The Householder transformation and the QL method.
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, spring 2012 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024.
  • Enrolment Statistics (Autumn 1999, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn1999/F5330