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Exponentially Convergent Algorithms for Abstract Differential Equations: 29 (Frontiers in Mathematics) - Softcover
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Book by Gavrilyuk Ivan Makarov Volodymyr Vasylyk Vitalii
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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.
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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.
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- VerlagBirkhäuser
- Erscheinungsdatum2011
- ISBN 10 3034801181
- ISBN 13 9783034801188
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten192
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Exponentially Convergent Algorithms for Abstract Differential Equations (Frontiers in Mathematics)
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783034801188
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Exponentially Convergent Algorithms for Abstract Differential Equations (Frontiers in Mathematics)
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Taschenbuch. Zustand: 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. Bestandsnummer des Verkäufers 9783034801188
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Exponentially Convergent Algorithms for Abstract Differential Equations
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Zustand: 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. Bestandsnummer des Verkäufers 4318117
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Exponentially Convergent Algorithms for Abstract Differential Equations
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