DynamicalSystemsandNumericalAnalysis

Thisbookunitesthestudyofdynamicalsystemsandnumericalsolutionofdifferentialequations.Thefirstthreechapterscontaintheelementsofthetheoryofdynamicalsystemsandthenumericalsolutionofinitial-valueproblems.Intheremainingchapters,numericalmethodsareformulatedasdynamicalsystemsandtheconvergenceandstabilitypropertiesofthemethodsareexamined.Topicsstudiedincludethestabilityofnumericalmethodsforcontractive,dissipative,gradientandHamiltoniansystemstogetherwiththeconvergencepropertiesofequilibria,periodicsolutionsandstrangeattractorsundernumericalapproximation.Thisbookwillbeaninvaluabletoolforgraduatestudentsandresearchersinthefieldsofnumericalanalysisanddynamicalsystems.