Candidates can get Best Introduction To The Theory Of Shells Books 2018 also a Top List of Main Study Materials for 2017-2018 entrance exam in India.
Introduction To The Theory Of Shells
by Clive L. Dym
COMPUTER ORIENTED NUMERICAL METHODS
Unit I: Solutions of linear equations: Direct method – Cramer’s rule, Guass – Elimination method- Gauss – Jordan elimination – Triangulation (LU Decomposition) method – Iterative methods Jacobi – Iteration method – Gauss – Siedel iteration, Successive over –relaxation method. Eigen values and eigen vectors: Jacobi method for symmetric matrices- Given’s method for symmetric matrices-Householder’s method for symmetric matrices-Rutishauser method of arbitrary matrices – Power method.
UNIT II: Interpolation: Linear Interpolation – Higher order Interpolation – Lagrange Interpolation – Interpolating polynomials using finites differences- Hermite Interpolation -piece-wise and spline Interpolation.
Unit III Finite Difference and their Applications: Introduction- Differentiation formulas by Interpolating parabolas – Backward and forward and central differences- Derivation of Differentiation formulae using Taylor series- Boundary conditions- Beam deflection – Solution of characteristic value problems- Richardson’s extrapolation- Use of unevenly spaced pivotal points- Integration formulae by interpolating parabolasNumerical solution to spatial differential equations
UNIT IV. Numerical Differentiation: Difference methods based on undetermined coefficients- optimum choice of step length– Partial differentiation. Numerical Integration: Method based on interpolation-method based on undetermined coefficient – Gauss – Lagrange interpolation method- Radaua integration method- composite integration method – Double integration using Trapezoidal and Simpson’s method.
UNIT V Ordinary Differential Equation: Euler’s method – Backward Euler method – Mid point method – single step method, Taylor’s series method- Boundary value problems.