Fundamentals of engineering numerical analysis
Moin, Parviz
Fundamentals of engineering numerical analysis Parviz Moin - 2nd Ed. - Cambridge, UK ; New York : Cambridge University Press, 2001. - xiv, 209 pages : illustrations ; 26 cm
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.
Introduction to numerical techniques useful in solving complex engineering problems.
9780521711234
Engineering mathematics
Numerical analysis
620.0015 / MOI
Fundamentals of engineering numerical analysis Parviz Moin - 2nd Ed. - Cambridge, UK ; New York : Cambridge University Press, 2001. - xiv, 209 pages : illustrations ; 26 cm
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.
Introduction to numerical techniques useful in solving complex engineering problems.
9780521711234
Engineering mathematics
Numerical analysis
620.0015 / MOI