Author(s): S.P. Venkateshan and Prasanna Swaminathan (Auth.)
Publisher: Academic Press
Year: 2014
Language: English
Pages: 692
Tags: Математика;Вычислительная математика;
Content:
Front Matter, Pages i,iii
Dedication, Page ii
Copyright, Page iv
Preface, Pages v-vi
Acknowledgements, Page vii
Chapter 1 - Preliminaries, Pages 1-15
Module I: System of Equations and Eigenvalues, Page 17
Chapter 2 - Solution of Linear Equations, Pages 19-103
Chapter 3 - Computation of Eigenvalues, Pages 105-154
Chapter 4 - Solution of Algebraic Equations, Pages 155-201
Exercise I, Pages 203-209
Module II: Interpolation, Differentiation and Integration, Page 211
Chapter 5 - Interpolation, Pages 213-254
Chapter 6 - Interpolation in Two and Three Dimensions, Pages 255-274
Chapter 7 - Regression or Curve Fitting, Pages 275-294
Chapter 8 - Numerical Differentiation, Pages 295-315
Chapter 9 - Numerical Integration, Pages 317-373
Exercise II, Pages 375-381
Module III: Ordinary differential equations, Page 383
Chapter 10 - Initial Value Problems, Pages 385-446
Chapter 11 - Boundary Value Problems (ODE), Pages 447-512
Exercise III, Pages 513-518
Module IV: Partial Differential Equations, Page 521
Chapter 12 - Introduction to PDEs, Pages 523-527
Chapter 13 - Laplace and Poisson Equations, Pages 529-573
Chapter 14 - Advection and Diffusion Equations, Pages 575-621
Chapter 15 - Wave Equation, Pages 623-655
Exercise IV, Pages 657-663
Chapter 16 - Beyond the Book – the Way Ahead, Pages 665-667
Index, Pages 669-672
