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Pandas edited this page Mar 12, 2017 · 6 revisions

Computational algorithms: tasks

Lab 1

Task: Find the integral from 0 to 2 of this implict function: F(x, y)=e^(x^3 - y)-x^6+2x^3y + 2x^3-y^2-2y-2=0

Lab 2

Task 1: Newton interpolation method
IN: table of values, x (necessary to find), n (the degree of the polynomial)
OUT: real y(x), y(x) at interpolation, absolute error, ratio error, Newton's polinome error

Task 2: Solve a system of implicitly defined functions by inverse interpolation
IN: ???
OUT: ???

Task 3: Multidimensional interpolation
IN: ???
OUT: ???

Task 4: Spline interpolation
COMMENT: This method uses a solution of system of linear equations using the sweep method
IN: table of values, x (necessary to find)
OUT: real y(x), y(x) at interpolation, absolute error, ratio error


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