- •Introduction
- •Laboratory Work 1 computing of polynomial value according to the horner’s method
- •For mating variants:
- •Laboratory Work 2 primitive operations with matrices
- •In the first case the result will be the vector –column with the elements
- •Laboratory Work 3 solution of the systems of linear equations with real coefficients
- •Table 3.1 Scheme Parametres
- •Laboratory Work 4 solution of the linear equation systems with the complex coefficients
- •If such a programme is available to compute the value of the variable
- •Laboratory Work 5 matrix inversion
- •The matrix
- •Laboratory Work 6 matrix determinant computation
- •Laboratory Work 7 matrix inversion
- •The equation
- •Laboratory Work 8
- •Laboratory Work 9 Refinement of the roots of transcendental and algebraic equations
- •Iterations are stopped if the condition
- •Laboratory Work 10 solution of the non-linear equation systems
- •If the initial approximations of the roots are
- •The iterations are stopped if the condition
- •Laboratory work 11 numerical soultion of linear differential equations
- •Laboratory Work 12 іinterpolation
- •Laboratory Work 13 approximation done by the least-squares method
- •Laboratory Work 14 numerical integration
- •Laboratory Work 15 harmonic analysis and synthesis of the periodical functions
- •Laboratory Work 16
- •References
- •Contents
References
Маликов В.Т., Кветный Р.Н. Вычислительные методы и применение ЭВМ. – К.: Вища школа, 1999.- 212 с.
Мудров А.Е. Численные методы для ПЭВМ на языках Бейсик, Фортран, Паскаль.- Томск, 1991.- 272 с.
Боглаев Ю.П. Вычислительная математика и программирование. – М.: Высшая школа. 1990.- 544 с.
Копченова Н.В., Марон И.А. Вычислительная математика в примерах и задачах. – М.: Высшая школа. 1972.- 366 с.
Калиткин Н.Н. Численные методы. – М.: Наука, 1978.- 512 с.
Contents
Introduction |
|
|
Laboratory Work №1 |
Computing of polynomial value according to the Horner’s method |
3 |
Laboratory Work №2 |
Primitive operations with matricies |
6 |
Laboratory Work №3 |
Solution of the systems of linear equations with real coefficients |
10 |
Laboratory Work №4 |
Solution of the linear equation systems with the complex coefficients |
18 |
Laboratory Work №5 |
Matrix inversion |
20 |
Laboratory Work №6 |
Matrix determinant computation |
23 |
Laboratory Work №7 |
Location of the roots of transcendental equations
|
25 |
Laboratory Work №8 |
Location of the roots of algebraic equations |
28 |
Laboratory Work №9 |
Refinement of the roots of transcendental and algebraic equations |
30 |
Laboratory Work №10 |
Solution of non-linear equation systems |
34 |
Laboratory Work №11 |
Numerical Solution of linear differential equations |
39 |
Laboratory Work №12 |
Interpolation |
43 |
Laboratory Work №13 |
Approximation done by the least-squares method |
47 |
Laboratory Work №14 |
Numerical integration |
49 |
Laboratory Work №15 |
Harmonic analysis and synthesis of the periodical functions
|
53 |
Laboratory Work №16 |
Search of the function extreme values by the golden section method |
57 |
Workbook for laboratory works on “Mathematical Methods and Models” for the students of the speciality 7.090603
Compliers: S.G. Dzhura, Associate Professor.
S.V. Shlepnyov, Associate Professor V.V. Yakimishina, Assistant Professor