000 | 02382nam a2200217 4500 | ||
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005 | 20220812110631.0 | ||
008 | 220812b |||||||| |||| 00| 0 eng d | ||
020 | _a9780521711234 | ||
082 |
_a620.0015 _bMOI |
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100 | _aMoin, Parviz | ||
240 | _aEngineering numerical analysis | ||
245 |
_aFundamentals of engineering numerical analysis _cParviz Moin |
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250 | _a2nd Ed. | ||
260 |
_aCambridge, UK ; New York : _bCambridge University Press, _c2001. |
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300 |
_axiv, 209 pages : _billustrations ; _c26 cm |
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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. |
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520 | _aIntroduction to numerical techniques useful in solving complex engineering problems. | ||
650 | _aEngineering mathematics | ||
650 | _aNumerical analysis | ||
942 |
_2ddc _cBK |
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999 |
_c1723 _d1723 |