Numerical Methods for Solving Two-Point BoundaryValue Problems: Differed Correction Schemes, Interpolation, and Conditioning Methods - Softcover
Synopsis
The numerical approximation of solutions of ordinary differential equations played an important role in Numerical Analysis and still continues to be an active field of research. In this book we are mainly concerned with the numerical solution of the first-order system of nonlinear two-point boundary value problems. We will focus on the problem of solving singular perturbation problems since this has for many years been a source of difficulty to applied mathematicians, engineers and numerical analysts alike. Firstly, we consider deferred correction schemes based on Mono-Implicit Runge-Kutta (MIRK) and Lobatto formulae. As is to be expected, the scheme based on Lobatto formulae, which are implicit, is more stable than the scheme based on MIRK formulae which are explicit. Secondly, we construct high order interpolants to provide the continuous extension of the discrete solution. It will consider the construction of both explicit and implicit interpolants. The estimation of conditioning numbers is also discussed and used to develop mesh selection algorithms which will be appropriate for solving stiff linear and nonlinear boundary value problems.
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About the Author
Studied Numerical Analysis at Imperial College London, University of London, UK, 2001-2005. Assistant Professor at Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Indonesia.
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Numerical Methods for Solving Two-Point BoundaryValue Problems
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Sumarti NovrianaStudied Numerical Analysis at Imperial College London, nUniversity of London, UK, 2001-2005. AssistantnProfessor at Faculty of Mathematics and Natural Sciences,nInstitut Teknologi Bandung, Indonesia.The numerical . Seller Inventory # 4960871
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Taschenbuch. Condition: Neu. Numerical Methods for Solving Two-Point Boundary Value Problems | Differed Correction Schemes, Interpolation, and Conditioning Methods | Novriana Sumarti | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2009 | VDM Verlag Dr. Müller | EAN 9783639137873 | Verantwortliche Person für die EU: OmniScriptum GmbH & Co. KG, Bahnhofstr. 28, 66111 Saarbrücken, info[at]akademikerverlag[dot]de | Anbieter: preigu. Seller Inventory # 101627435
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Numerical Methods for Solving Two-Point Boundary Value Problems : Differed Correction Schemes, Interpolation, and Conditioning Methods
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The numerical approximation of solutions of ordinarydifferential equations played an important role inNumerical Analysis and still continues to be anactive field of research. In this book we are mainlyconcerned with the numerical solution of thefirst-order system of nonlinear two-point boundaryvalue problems. We will focus on the problem ofsolving singular perturbation problems since this hasfor many years been a source of difficulty to appliedmathematicians, engineers and numerical analystsalike. Firstly, we consider deferred correctionschemes based on Mono-Implicit Runge-Kutta (MIRK) andLobatto formulae. As is to be expected, the schemebased on Lobatto formulae, which are implicit, ismore stable than the scheme based on MIRK formulaewhich are explicit. Secondly, we construct high orderinterpolants to provide the continuous extension ofthe discrete solution. It will consider theconstruction of both explicit and implicitinterpolants. The estimation of conditioning numbersis also discussed and used to develop mesh selectionalgorithms which will be appropriate for solvingstiff linear and nonlinear boundary value problems. Seller Inventory # 9783639137873
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