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Wiley India Pvt Ltd Numerical Methods For Ordinary Differential Systems The Initial Value Problem by Lambert J. D.
About the Book: Numerical Methods for Ordinary Differential Systems: The Initial Value ProblemThis book places much more emphasis on implementations-and on the important topic of stiffness-than did its predecessor. Also included are accounts of the structure of variable-step, variable-order methods, the Butcher and the Albrecht theories for Runge-Kutta methods, order stars and nonlinear stability theory. The author has taken a middle road between analytical rigour and a purely computational approach, key results being stated as theorems but proofs being provided only where they aid the readers understanding of the result. Numerous exercises, from the straightforward to the demanding are included in the text.ContentsBackground MaterialIntroduction to Numerical MethodsLinear Multistep MethodsPredictor-Corrector MethodsRunge-Kutta MethodsStiffness: Linear Stability TheoryStiffness: Nonlinear Stability TheoryReferencesIndex