Synopsis
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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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations
Edité par
WSPC, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
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RECENT PROGRESS NUMERIC ANALY NONLINEAR DISPERSIVE EQUATION
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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations
Edité par
World Scientific Publishing Co Pte Ltd, SG, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Neuf
Couverture rigide
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
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Hardback. Etat : 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. N° de réf. du vendeur LU-9789819816613
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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations (Hardcover)
Edité par
World Scientific Publishing Co Pte Ltd, Singapore, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Neuf
Couverture rigide
Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
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Hardcover. Etat : 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9789819816613
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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations
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RECENT PROGRESS NUMERIC ANALY NONLINEAR DISPERSIVE EQUATION
Edité par
WSPC, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Ancien ou d'occasion
Couverture rigide
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RECENT PROGRESS NUMERIC ANALY NONLINEAR DISPERSIVE EQUATION
Edité par
WSPC, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Ancien ou d'occasion
Couverture rigide
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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations
Edité par
World Scientific Publishing Co Pte Ltd, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Neuf
Couverture rigide
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Recent Progress On Numerical Analysis For Nonlinear Dispersive Equations (Hardcover)
Edité par
World Scientific Publishing Co Pte Ltd, Singapore, 2025
ISBN 10 : 9819816610
ISBN 13 : 9789819816613
Neuf
Couverture rigide
Vendeur : CitiRetail, Stevenage, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardcover. Etat : 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9789819816613
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