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PREFACE This book is devoted to the
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CONTENTS 1. Special families of pol
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Contents ix 7. Derivative Matrices
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1 SPECIAL FAMILIES OF POLYNOMIALS A
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Special Families of Polynomials 3 n
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Special Families of Polynomials 5 B
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Special Families of Polynomials 7 1
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Special Families of Polynomials 9 (
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Special Families of Polynomials 11
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Special Families of Polynomials 13
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Special Families of Polynomials 15
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Special Families of Polynomials 17
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Special Families of Polynomials 19
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2 ORTHOGONALITY Inner products and
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Orthogonality 23 The function w is
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Orthogonality 25 As we promised, we
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Orthogonality 27 Let us now define
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Orthogonality 29 Therefore, one obt
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Orthogonality 31 From (2.3.8), we g
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Orthogonality 33 only mention the r
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3 NUMERICAL INTEGRATION As we shall
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Numerical Integration 37 In the cas
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Numerical Integration 39 (3.1.9) z
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Numerical Integration 41 We give th
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Numerical Integration 43 where 1
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Numerical Integration 45 (3.2.10)
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Numerical Integration 47 This means
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Numerical Integration 49 (3.4.2) w
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Numerical Integration 51 3.5 Gauss-
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Numerical Integration 53 The proof
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Numerical Integration 55 3.7 Clensh
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Numerical Integration 57 the first
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Numerical Integration 59 (3.8.14) p
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Numerical Integration 61 (3.9.5) p
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Numerical Integration 63 (3.10.5)
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66 Polynomial Approximation of Diff
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68 Polynomial Approximation of Diff
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70 Polynomial Approximation of Diff
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72 Polynomial Approximation of Diff
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74 Polynomial Approximation of Diff
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76 Polynomial Approximation of Diff
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78 Polynomial Approximation of Diff
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80 Polynomial Approximation of Diff
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82 Polynomial Approximation of Diff
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84 Polynomial Approximation of Diff
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86 Polynomial Approximation of Diff
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88 Polynomial Approximation of Diff
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90 Polynomial Approximation of Diff
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92 Polynomial Approximation of Diff
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94 Polynomial Approximation of Diff
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96 Polynomial Approximation of Diff
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98 Polynomial Approximation of Diff
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100 Polynomial Approximation of Dif
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102 Polynomial Approximation of Dif
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104 Polynomial Approximation of Dif
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106 Polynomial Approximation of Dif
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108 Polynomial Approximation of Dif
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110 Polynomial Approximation of Dif
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112 Polynomial Approximation of Dif
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114 Polynomial Approximation of Dif
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116 Polynomial Approximation of Dif
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118 Polynomial Approximation of Dif
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120 Polynomial Approximation of Dif
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122 Polynomial Approximation of Dif
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124 Polynomial Approximation of Dif
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126 Polynomial Approximation of Dif
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128 Polynomial Approximation of Dif
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130 Polynomial Approximation of Dif
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132 Polynomial Approximation of Dif
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134 Polynomial Approximation of Dif
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136 Polynomial Approximation of Dif
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138 Polynomial Approximation of Dif
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140 Polynomial Approximation of Dif
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142 Polynomial Approximation of Dif
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144 Polynomial Approximation of Dif
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146 Polynomial Approximation of Dif
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148 Polynomial Approximation of Dif
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150 Polynomial Approximation of Dif
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152 Polynomial Approximation of Dif
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154 Polynomial Approximation of Dif
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156 Polynomial Approximation of Dif
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158 Polynomial Approximation of Dif
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160 Polynomial Approximation of Dif
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162 Polynomial Approximation of Dif
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164 Polynomial Approximation of Dif
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166 Polynomial Approximation of Dif
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168 Polynomial Approximation of Dif
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170 Polynomial Approximation of Dif
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172 Polynomial Approximation of Dif
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174 Polynomial Approximation of Dif
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176 Polynomial Approximation of Dif
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178 Polynomial Approximation of Dif
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180 Polynomial Approximation of Dif
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182 Polynomial Approximation of Dif
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284 Polynomial Approximation of Dif
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286 Polynomial Approximation of Dif
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288 Polynomial Approximation of Dif
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290 Polynomial Approximation of Dif
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REFERENCES adams r.(1975), Sobolev
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References 295 canuto c., hussaini
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References 297 friedman a.(1959), F
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References 299 jackson d.(1930), Th
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References 301 pavoni d.(1988), Sin
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References 303 vainikko g.m.(1964),