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The book deals with “Computational Methods in Engineering”, a subject that is highly relevant to the present day engineering graduates who have to face the challenges of using the computer and many commercial software programs, in their profession. The book is primarily for engineering students in their final year B.Tech. program or for the M.Tech. students. However the book may also interest students in Applied Mathematics. The book will also be useful to practicing engineers who want to refresh their knowledge of numerical/computational methods. The book is based on the course of the same name as the book that has been taught at IIT Madras since 1995.
The book has been arranged in four modules: Module I, System of equations and eigenvalues; Module II, Interpolation, differentiation and integration; Module III, Ordinary differential equations and Module IV, Partial differential equations. Module I forms the core material that is required to take up the other three modules UG students may drop topics such as interpolation in two and three dimensions, multiple integral, FEM, FVM, collocation method, solution of stiff equations, parts of PDE. Advanced PG students may choose some of these topics depending on need and interest.
Contents
System of Equations and Eigenvalues • Solution of Linear Equations • Computation of Eigenvalues • Solution of Algebraic Equations • Interpolation • Interpolation in Two and Three Dimensions• Regression or Curve Fitting • Numerical Differentiation • Numerical Integration • Initial Value Problems • Boundary Value Problems (ODE) • Introduction to PDEs • Laplace and Poisson Equations • Advection and Diffusion Equations • Wave Equation • IndexISBN - 9789382127611
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Pages : 692
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