000 02382nam a2200217 4500
005 20220812110631.0
008 220812b |||||||| |||| 00| 0 eng d
020 _a9780521711234
082 _a620.0015
_bMOI
100 _aMoin, Parviz
240 _aEngineering numerical analysis
245 _aFundamentals of engineering numerical analysis
_cParviz Moin
250 _a2nd Ed.
260 _aCambridge, UK ; New York :
_bCambridge University Press,
_c2001.
300 _axiv, 209 pages :
_billustrations ;
_c26 cm
505 _tInterpolation --
_tLagrange Polynomial Interpolation --
_tCubic Spline Interpolation --
_tNumerical Differentiation--Finite Differences --
_tConstruction of Difference Formulas Using Taylor Series --
_tA General Technique for Construction of Finite Difference Schemes --
_tAn Alternative Measure for the Accuracy of Finite Differences --
_tPade Approximations --
_tNon-Uniform Grids --
_tNumerical Integration --
_tTrapezoidal and Simpson's Rules --
_tError Analysis --
_tTrapezoidal Rule with End-Correction --
_tRomberg Integration and Richardson Extrapolation --
_tAdaptive Quadrature --
_tGauss Quadrature --
_tNumerical Solution of Ordinary Differential Equations --
_tInitial Value Problems --
_tNumerical Stability --
_tStability Analysis for the Euler Method --
_tImplicit or Backward Euler --
_tNumerical Accuracy Revisited --
_tTrapezoidal Method --
_tLinearization for Implicit Methods --
_tRunge--Kutta Methods --
_tMulti-Step Methods --
_tSystem of First-Order Ordinary Differential Equations --
_tBoundary Value Problems --
_tShooting Method --
_tDirect Methods --
_tNumerical Solution of Partial Differential Equations --
_tSemi-Discretization --
_tvon Neumann Stability Analysis --
_tModified Wavenumber Analysis --
_tImplicit Time Advancement --
_tAccuracy via Modified Equation --
_tDu Fort--Frankel Method: An Inconsistent Scheme --
_tMulti-Dimensions --
_tImplicit Methods in Higher Dimensions --
_tApproximate Factorization --
_tStability of the Factored Scheme --
_tAlternating Direction Implicit Methods --
_tMixed and Fractional Step Methods --
_tElliptic Partial Differential Equations.
520 _aIntroduction to numerical techniques useful in solving complex engineering problems.
650 _aEngineering mathematics
650 _aNumerical analysis
942 _2ddc
_cBK
999 _c1723
_d1723