Fundamentals of engineering numerical analysis Parviz Moin

By:

Moin, Parviz

Material type: Text

TextPublication details: Cambridge, UK ; New York : Cambridge University Press, 2001.Edition: 2nd EdDescription: xiv, 209 pages : illustrations ; 26 cmISBN:

9780521711234

Uniform titles:

Engineering numerical analysis

Subject(s):

DDC classification:

620.0015 MOI

Contents:

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.

Summary: Introduction to numerical techniques useful in solving complex engineering problems.

List(s) this item appears in: New Arrivals August 2022

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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	IIITDM Kurnool General Stacks	Non-fiction	620.0015 MOI (Browse shelf(Opens below))	Available		0004803
Books	IIITDM Kurnool General Stacks	Non-fiction	620.0015 MOI (Browse shelf(Opens below))	Available		0004774

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.

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