03483nam 2200553 450 991046763410332120200923020339.03-11-053198-410.1515/9783110533002(CKB)4100000001044484(MiAaPQ)EBC5150940(DE-B1597)477388(OCoLC)1013820320(DE-B1597)9783110533002(Au-PeEL)EBL5150940(CaPaEBR)ebr11471627(EXLCZ)99410000000104448420171220h20182018 uy 0engurcnu||||||||rdacontentrdamediardacarrierRichardson extrapolation practical aspects and applications /Zahari Zlatev [and three others]Berlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2018.©20181 online resource (292 pages) illustrationsDe Gruyter Series in Applied and Numerical Mathematics,2512-1820 ;Volume 23-11-051649-7 3-11-053300-6 Includes bibliographical references and index.Frontmatter -- Preface -- Contents -- 1. The basic properties of Richardson extrapolation -- 2. Richardson extrapolation for explicit Runge-Kutta methods -- 3. Linear multistep and predictor-corrector methods -- 4. Richardson extrapolation for some implicit methods -- 5.2 Richardson extrapolation for splitting techniques -- 6. Richardson extrapolation for advection problems -- 7. Richardson extrapolation for some other problems -- 8. General conclusions -- References -- List of abbreviations -- Author index -- Subject indexScientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. 　 ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions De Gruyter series in applied and numerical mathematics ;Volume 2.Differential equationsNumerical solutionsDifferential equations, PartialNumerical solutionsElectronic books.Differential equationsNumerical solutions.Differential equations, PartialNumerical solutions.515/.35Zlatev Zahari, 55317Zlatev Zahari1939-MiAaPQMiAaPQMiAaPQBOOK9910467634103321Richardson extrapolation2462266UNINA