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起止时间:2021-03-09到2021-06-28
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01 Mathematical Modeling and Error Analysis—Introduction Chapter1_Unit test
1、 1. The approximate value of 0.048657168 with 5 significant digits is__.
A:0.04865
B:0.048657
C:0.0486
D:0.0486571
答案: 0.048657
2、 2. Let the absolute error of data be 0.025 and 0.006 respectively, then the absolute error of the product of is__.
A:0.025
B:0.025
C:0.025 ＋0.006
D:0.031
答案: 0.025 ＋0.006
3、 3. Suppose that the relative error of is ,then the relative error of is___.
A:n2%
B:2%
C:n/2%
D:(2%)^n
答案: n2%
4、 4. If the exact value is 100, the absolute and relative errors of the approximate value 99.9 are respectively ____.
A:0.1, 0.01
B:0.1, 0.001
C:0.01, 0.001
D:0.001,0.1
答案: 0.1, 0.001
5、 5. Suppose that the absolute error limits of the observed data x1,x2,x3 are all 0.001，then the absolute error limits of x1+x2+x3 is______.
A:0.001
B:0.003
C:0.002
D:0.004
答案: 0.003
6、 6. Rounding error is the error caused by _____.
A:taking only a finite number of digits
B:the exact value of the model and the exact value obtained by numerical method
C:observation and measurement
D:mathematical model exact value and actual value
答案: taking only a finite number of digits
7、 The exact solution is the analytical solution.
A:正确
B:错误
答案: 错误
8、 An algorithm is said to be numerically stable, if there is an error in the input data and the rounding error does not increase during the calculation, Otherwise, it is called unstable.
A:正确
B:错误
答案: 正确
9、 Simplifying the steps helps reduce the number of operations.
A:正确
B:错误
答案: 正确
10、 Truncation error is also called method error.
A:正确
B:错误
答案: 正确
02 Prediction Model of Urban Water Supply—Interpolation and Fitting Algorithm Chapter2_Unit test
1、 The only condition for the existence of an n-degree interpolation polynomial is that .
A:it has n nodes
B:it has n+1 nodes
C:there are n interpolation conditions
D:n+1 nodes are distinct from each other
答案: n+1 nodes are distinct from each other
2、 The function value of Lagrange interpolation basis function l1(x) at node x0 is l1(x0)= ___.
A:1
B:-1
C:0
D:2
答案: 0
3、 The interpolation polynomial ___ with the number of nodes increasing.
A:increases
B:decreases
C:does not increase
D:may oscillate violently at some points
答案: may oscillate violently at some points
4、 For the selection of Newton forward interpolation formula and Newton backward interpolation formula, When the point to be calculated is near the starting point , the Newton__ interpolation formula should be used, When the point to be calculated is near the starting point , the Newton____ interpolation formula should be used.
A:forward, forward
B:forward, backward
C:backward, forward
D:backward, backward
答案: forward, backward
5、 Piecewise low-order interpolation overcomes the problem that high-order interpolation polynomials may oscillate, However, piecewise low-order interpolation function cannot guarantee ___ in the whole interpolation interval?
A:continuity
B:first derivative exists
C:first-order derivative continuous
D:Second derivative exists
答案: first derivative exists
6、 The fitting effect of fitting function is usually estimated without __.
A:the sum of deviation
B:average deviation of the sum of the absolute value
C:the sum of squares of deviations
D:mean square error (mse)
答案: the sum of deviation
7、
A:2.1
B:2.2
C:2.3
D:2.4
答案: 2.4
8、
A:
B:
C:
D:
答案:
9、
A:-1
B:0
C:1
D:2
答案: 2
10、
A:-1
B:0
C:1
D:2
答案: 1
11、
A:-24 , -27
B:-12 , -15/2
C:8, -5/4
D:-8, -11/4
答案: -8, -11/4
12、
A:
B:
C:
D:
答案:
03 Xiangjiang River Flow Estimation Model—Numerical Integration Method Chapter3_Unit test
1、
A:2
B:4
C:8
D:16
答案: 2
2、 Composite Cotes quadrature formula has the convergence of （）-order.
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