This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients.
For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Suitable for practical computing, this volume presents accurate and efficient exponentially convergent methods for abstract, differential equations. Each equation can be viewed as a meta-model of systems of both ordinary and partial differential equations.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems. 192 pp. Englisch. N° de réf. du vendeur 9783034801188
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Etat : New. Suitable for practical computing, this volume presents accurate and efficient exponentially convergent methods for abstract, differential equations. Each equation can be viewed as a meta-model of systems of both ordinary and partial differential equations. Series: Frontiers in Mathematics. Num Pages: 188 pages, 12 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 300. . 2011. 2011th Edition. paperback. . . . . N° de réf. du vendeur V9783034801188
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Contains the first comprehensive and unified theory of exponentially convergent numerical methods for the differential equations with operator coefficients including many important PDEs as particular cases Algorithms inherit a two-level parallelis. N° de réf. du vendeur 4318117
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Etat : New. Suitable for practical computing, this volume presents accurate and efficient exponentially convergent methods for abstract, differential equations. Each equation can be viewed as a meta-model of systems of both ordinary and partial differential equations. Series: Frontiers in Mathematics. Num Pages: 188 pages, 12 black & white illustrations, biography. BIC Classification: PBKJ. Category: (P) Professional & Vocational. Dimension: 234 x 157 x 12. Weight in Grams: 300. . 2011. 2011th Edition. paperback. . . . . Books ship from the US and Ireland. N° de réf. du vendeur V9783034801188
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Taschenbuch. Etat : Neu. Neuware -This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant forpractical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can beapplied tomathematical models of the real world. The problem class includes initial value problems (IVP) forfirst order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients.For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 192 pp. Englisch. N° de réf. du vendeur 9783034801188
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents new accurate and efficient exponentially convergent methods for abstract differential equations with unbounded operator coefficients in Banach space. These methods are highly relevant for practical scientific computing since the equations under consideration can be seen as the meta-models of systems of ordinary differential equations (ODE) as well as of partial differential equations (PDEs) describing various applied problems. The framework of functional analysis allows one to obtain very general but at the same time transparent algorithms and mathematical results which then can be applied to mathematical models of the real world. The problem class includes initial value problems (IVP) for first order differential equations with constant and variable unbounded operator coefficients in a Banach space (the heat equation is a simple example), boundary value problems for the second order elliptic differential equation with an operator coefficient (e.g. the Laplace equation), IVPs for the second order strongly damped differential equation as well as exponentially convergent methods to IVPs for the first order nonlinear differential equation with unbounded operator coefficients. For researchers and students of numerical functional analysis, engineering and other sciences this book provides highly efficient algorithms for the numerical solution of differential equations and applied problems. N° de réf. du vendeur 9783034801188
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