9789819816613 - Recent Progress on Numerical Analysis for Nonlinear Dispersive Equations (14 results)
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Published by World Scientific Publishing Co Pte Ltd, SG, 2025
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Hardback. Condition: New. This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) - including the nonlinear Schrödinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are central to… mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration.
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Published by World Scientific Publishing Co Pte Ltd, Singapore, 2025
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Hardcover. Condition: new. Hardcover. This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) including the nonlinear Schroedinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are… central to mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by World Scientific Publishing Co Pte Ltd, 2025
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Hardcover. Condition: Brand New. 208 pages. 0.50x5.98x9.02 inches. In Stock.
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Published by World Scientific Publishing Co Pte Ltd, Singapore, 2025
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Hardcover. Condition: new. Hardcover. This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) including the nonlinear Schroedinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are… central to mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.
Language: English
Published by World Scientific Publishing Co Pte Ltd, SG, 2025
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Hardback. Condition: New. This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) - including the nonlinear Schrödinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are central to… mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration.
Language: English
Published by World Scientific Publishing Co Pte Ltd, Singapore, 2025
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Hardcover. Condition: new. Hardcover. This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) including the nonlinear Schroedinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Klein-Gordon equation. These fundamental models are… central to mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
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Buch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - This book presents an overview of recent advances in the numerical analysis of nonlinear dispersive partial differential equations (PDEs) - including the nonlinear Schrödinger equation, the Korteweg-de Vries (KdV) equation, and the nonlinear Kl…ein-Gordon equation. These fundamental models are central to mathematical physics and computational PDE theory, and their analysis, both individually and through asymptotic relationships, has become an active and evolving area of research.Recent progress includes the extension of harmonic analysis tools, such as Strichartz estimates and Bourgain spaces, into discrete settings. These innovations have improved the accuracy and flexibility of numerical methods, especially by relaxing regularity assumptions on initial data, potentials, and nonlinearities. Additionally, enhanced long-time numerical estimates now support simulations over substantially longer time intervals, expanding the practical reach of computational models.The analytical breakthroughs that underpin these developments trace back to the seminal work by Jean Bourgain in the 1990s, which introduced powerful techniques for studying dispersive PDEs. Adapting these continuous tools to discrete frameworks has proven both challenging and rewarding, offering new insights into the interface between numerical computation and theoretical analysis.Aimed at graduate students, researchers, and practitioners in numerical analysis, applied mathematics, and computational physics, this volume provides a clear entry point into cutting-edge research, supported by a rich bibliography for further exploration.
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Buch. Condition: Neu. RECENT PROGRESS NUMERIC ANALY NONLINEAR DISPERSIVE EQUATION | Carles Remi | Buch | Englisch | 2025 | World Scientific | EAN 9789819816613 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand.
