First Semester in Numerical Analysis with Julia, 2020a

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CHAPTER 1. INTRODUCTION 23 Control flow Let’s create an array of 10 entries of floating-type. A simple way to do is by using the function zeros(n), which creates an array of size n, and sets each entry to zero. (A similar function is ones(n) which creates an array of size n with each entry set to 1.) In [52]: values=zeros(10) Out[52]: 10-element Array{Float64,1}: 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 Now we will set the elements of the array to values of sin function. In [53]: for n in 1:10 values[n]=sin(n^2) end In [54]: values Out[54]: 10-element Array{Float64,1}: 0.8414709848078965 -0.7568024953079282 0.4121184852417566 -0.2879033166650653 -0.13235175009777303 -0.9917788534431158 -0.9537526527594719 0.9200260381967907
CHAPTER 1. INTRODUCTION 24 -0.6298879942744539 -0.5063656411097588 Here is another way to do this. Start with creating an empty array: In [55]: newvalues=Array{Float64}(undef,0) Out[55]: 0-element Array{Float64,1} Then use a while statement to generate the values, and append them to the array. In [56]: n=1 while n y println("$x is greater than $y")
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CHAPTER 2. SOLUTIONS OF EQUATIONS:
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Chapter 3 Interpolation In this cha
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CHAPTER 3. INTERPOLATION 90 Here is
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CHAPTER 3. INTERPOLATION 92 basis f
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CHAPTER 3. INTERPOLATION 94 therefo
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CHAPTER 3. INTERPOLATION 96 Summary
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CHAPTER 3. INTERPOLATION 98 and thu
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CHAPTER 3. INTERPOLATION 100 With t
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CHAPTER 3. INTERPOLATION 102 Exampl
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CHAPTER 3. INTERPOLATION 104 Exerci
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CHAPTER 3. INTERPOLATION 108 increa
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CHAPTER 3. INTERPOLATION 110 The ne
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CHAPTER 3. INTERPOLATION 112 there
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CHAPTER 3. INTERPOLATION 114 Figure
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CHAPTER 3. INTERPOLATION 116 Then t
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CHAPTER 3. INTERPOLATION 120 Exerci
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CHAPTER 3. INTERPOLATION 122 yi yi+
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CHAPTER 3. INTERPOLATION 124 • Cl
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CHAPTER 3. INTERPOLATION 126 In [2]
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CHAPTER 3. INTERPOLATION 128 end fo
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CHAPTER 3. INTERPOLATION 132 end u=
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CHAPTER 3. INTERPOLATION 134 Especi
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CHAPTER 3. INTERPOLATION 136 Arya a
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CHAPTER 3. INTERPOLATION 138 This l
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CHAPTER 3. INTERPOLATION 140 Recrea
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CHAPTER 4. NUMERICAL QUADRATURE AND
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Chapter 5 Approximation Theory 5.1
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CHAPTER 5. APPROXIMATION THEORY 180
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Index Absolute error, 38 Beasley-Sp
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INDEX 220 Chebyshev, 203 Julia code
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First Semester in Numerical Analysis with Julia, 2020a

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