TY - BOOK AU - Moin, Parviz TI - Fundamentals of engineering numerical analysis SN - 9780521711234 U1 - 620.0015 PY - 2001/// CY - Cambridge, UK ; New York : PB - Cambridge University Press, KW - Engineering mathematics KW - Numerical analysis N1 - Interpolation -- ; Lagrange Polynomial Interpolation -- ; Cubic Spline Interpolation -- ; Numerical Differentiation--Finite Differences -- ; Construction of Difference Formulas Using Taylor Series -- ; A General Technique for Construction of Finite Difference Schemes -- ; An Alternative Measure for the Accuracy of Finite Differences -- ; Pade Approximations -- ; Non-Uniform Grids -- ; Numerical Integration -- ; Trapezoidal and Simpson's Rules -- ; Error Analysis -- ; Trapezoidal Rule with End-Correction -- ; Romberg Integration and Richardson Extrapolation -- ; Adaptive Quadrature -- ; Gauss Quadrature -- ; Numerical Solution of Ordinary Differential Equations -- ; Initial Value Problems -- ; Numerical Stability -- ; Stability Analysis for the Euler Method -- ; Implicit or Backward Euler -- ; Numerical Accuracy Revisited -- ; Trapezoidal Method -- ; Linearization for Implicit Methods -- ; Runge--Kutta Methods -- ; Multi-Step Methods -- ; System of First-Order Ordinary Differential Equations -- ; Boundary Value Problems -- ; Shooting Method -- ; Direct Methods -- ; Numerical Solution of Partial Differential Equations -- ; Semi-Discretization -- ; von Neumann Stability Analysis -- ; Modified Wavenumber Analysis -- ; Implicit Time Advancement -- ; Accuracy via Modified Equation -- ; Du Fort--Frankel Method: An Inconsistent Scheme -- ; Multi-Dimensions -- ; Implicit Methods in Higher Dimensions -- ; Approximate Factorization -- ; Stability of the Factored Scheme -- ; Alternating Direction Implicit Methods -- ; Mixed and Fractional Step Methods -- ; Elliptic Partial Differential Equations N2 - Introduction to numerical techniques useful in solving complex engineering problems ER -