Concise Introduction Geometric Numerical by Blanes Sergio (21 results)

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Hardback. Condition: New. "This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."-Mathematical ReviewsA Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.New to the second edition· Focus on single-step methods for solving differential equations.· Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique.· New section dedicated to multi-product methods in Chapter 4, and a mention the class of Crouch-Grossman and positivity-preserving integrators.· A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6.· A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used.· Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book.· New exercises, as well as an enhanced list of bibliographic references.…

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Hardback. Condition: New. "This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."-Mathematical ReviewsA Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.New to the second edition· Focus on single-step methods for solving differential equations.· Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique.· New section dedicated to multi-product methods in Chapter 4, and a mention the class of Crouch-Grossman and positivity-preserving integrators.· A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6.· A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used.· Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book.· New exercises, as well as an enhanced list of bibliographic references.…

Hardcover. Condition: new. Hardcover. This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."Mathematical ReviewsA Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB programs and model files available online.New to the second edition Focus on single-step methods for solving differential equations. Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique. New section dedicated to multi-product methods in Chapter 4, and a mention the class of CrouchGrossman and positivity-preserving integrators. A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6. A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used. Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book. New exercises, as well as an enhanced list of bibliographic references. This book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry and offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

Hardcover. Condition: new. Hardcover. This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."Mathematical ReviewsA Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB programs and model files available online.New to the second edition Focus on single-step methods for solving differential equations. Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique. New section dedicated to multi-product methods in Chapter 4, and a mention the class of CrouchGrossman and positivity-preserving integrators. A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6. A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used. Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book. New exercises, as well as an enhanced list of bibliographic references. This book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry and offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.…

Hardcover. Condition: new. Hardcover. This book is highly recommended for graduate students, postgraduate researchers, and researchers interested in beginning study in the field of geometric numerical integration."Mathematical ReviewsA Concise Introduction to Geometric Numerical Integration, Second Edition presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the most significant ideas, methods, and applications. Readers can reproduce the figures and results given in the text using the MATLAB programs and model files available online.New to the second edition Focus on single-step methods for solving differential equations. Full-scale rewrite of Chapter 3,with a new introduction and a more comprehensive treatment of non-autonomous systems and the processing technique. New section dedicated to multi-product methods in Chapter 4, and a mention the class of CrouchGrossman and positivity-preserving integrators. A fresh introduction and a more detailed discussion of splitting and composition methods with complex coefficients in Chapter 6. A brand-new Chapter 7, showcasing some compelling applications where geometric integrators are now being used. Redesigned figures throughout, with improved their clarity and readability. The codes for generating them are provided at the website accompanying the book. New exercises, as well as an enhanced list of bibliographic references. This book presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry and offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…

Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical SystemsA Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.The book first examines high-order classical integration methods from the structure preservation point of view. It then illustrates how to construct high-order integrators via the composition of basic low-order methods and analyzes the idea of splitting. It next reviews symplectic integrators constructed directly from the theory of generating functions as well as the important category of variational integrators. The authors also explain the relationship between the preservation of the geometric properties of a numerical method and the observed favorable error propagation in long-time integration. The book concludes with an analysis of the applicability of splitting and composition methods to certain classes of partial differential equations, such as the Schrödinger equation and other evolution equations.The motivation of geometric numerical integration is not only to develop numerical methods with improved qualitative behavior but also to provide more accurate long-time integration results than those obtained by general-purpose algorithms. Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the ideas, methods, and applications of this field. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online. 232 pp. Englisch.…

Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Discover How Geometric Integrators Preserve the Main Qualitative Properties of Continuous Dynamical SystemsA Concise Introduction to Geometric Numerical Integration presents the main themes, techniques, and applications of geometric integrators for researchers in mathematics, physics, astronomy, and chemistry who are already familiar with numerical tools for solving differential equations. It also offers a bridge from traditional training in the numerical analysis of differential equations to understanding recent, advanced research literature on numerical geometric integration.The book first examines high-order classical integration methods from the structure preservation point of view. It then illustrates how to construct high-order integrators via the composition of basic low-order methods and analyzes the idea of splitting. It next reviews symplectic integrators constructed directly from the theory of generating functions as well as the important category of variational integrators. The authors also explain the relationship between the preservation of the geometric properties of a numerical method and the observed favorable error propagation in long-time integration. The book concludes with an analysis of the applicability of splitting and composition methods to certain classes of partial differential equations, such as the Schrödinger equation and other evolution equations.The motivation of geometric numerical integration is not only to develop numerical methods with improved qualitative behavior but also to provide more accurate long-time integration results than those obtained by general-purpose algorithms. Accessible to researchers and post-graduate students from diverse backgrounds, this introductory book gets readers up to speed on the ideas, methods, and applications of this field. Readers can reproduce the figures and results given in the text using the MATLAB® programs and model files available online.…