Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains: Computation Using Orthonormal Basis Vectors - Couverture rigide

Chun, Sehun

9789819544943: Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains: Computation Using Orthonormal Basis Vectors

Couverture rigide

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

Editeur : Springer Verlag, Singapore, 2025

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This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in �lie Cartan’s classical theory but adapted for computational practicality, the framework aligns local basis vectors with the intrinsic geometry and anisotropy of the domain, enabling accurate and efficient discretization without requiring explicit metric tensors or Christoffel symbols. Topics include the construction of moving frames on general manifolds, covariant derivatives via connection 1-forms, and frame-based formulations of gradient, divergence, curl, and Laplacian operators. Extensive MATLAB and C++ implementations (via Nektar++) are provided for benchmark problems in diffusion-reaction systems, shallow water equations, and Maxwell’s equations on complex surfaces such as the sphere, pseudosphere, and atrial tissue. Emphasizing clarity and accessibility, the book blends theory, visualization, and numerical practice, making it an essential resource for graduate students and researchers in scientific computing, applied mathematics, and engineering disciplines dealing with PDEs on non-Euclidean domains.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

� propos de l'auteur

Sehun Chun is an associate professor of Applied Mathematics at Yonsei University.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer Verlag, Singapore
Date d'�dition: 2025
Langue: anglais
ISBN 10: 9819544947
ISBN 13: 9789819544943
Reliure: Reli�
Nombre de pages: 265
Coordonn�es du fabricant: GPSR Kontakt
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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains

Chun, Sehun

Edit� par Springer, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains

Sehun Chun

Edit� par Springer Nature Singapore Nov 2025, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

Neuf Couverture rigide

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in �lie Cartan s classical theory but adapted for computational practicality, the framework aligns local basis vectors with the intrinsic geometry and anisotropy of the domain, enabling accurate and efficient discretization without requiring explicit metric tensors or Christoffel symbols. Topics include the construction of moving frames on general manifolds, covariant derivatives via connection 1-forms, and frame-based formulations of gradient, divergence, curl, and Laplacian operators. Extensive MATLAB and C++ implementations (via Nektar++) are provided for benchmark problems in diffusion-reaction systems, shallow water equations, and Maxwell s equations on complex surfaces such as the sphere, pseudosphere, and atrial tissue. Emphasizing clarity and accessibility, the book blends theory, visualization, and numerical practice, making it an essential resource for graduate students and researchers in scientific computing, applied mathematics, and engineering disciplines dealing with PDEs on non-Euclidean domains. 248 pp. Englisch. N� de r�f. du vendeur 9789819544943

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains (Hardcover)

Sehun Chun

Edit� par Springer Verlag, Singapore, Singapore, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

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Hardcover. Etat : new. Hardcover. This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in Elie Cartans classical theory but adapted for computational practicality, the framework aligns local basis vectors with the intrinsic geometry and anisotropy of the domain, enabling accurate and efficient discretization without requiring explicit metric tensors or Christoffel symbols. Topics include the construction of moving frames on general manifolds, covariant derivatives via connection 1-forms, and frame-based formulations of gradient, divergence, curl, and Laplacian operators. Extensive MATLAB and C++ implementations (via Nektar++) are provided for benchmark problems in diffusion-reaction systems, shallow water equations, and Maxwells equations on complex surfaces such as the sphere, pseudosphere, and atrial tissue. Emphasizing clarity and accessibility, the book blends theory, visualization, and numerical practice, making it an essential resource for graduate students and researchers in scientific computing, applied mathematics, and engineering disciplines dealing with PDEs on non-Euclidean domains. This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de r�f. du vendeur 9789819544943

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains | Computation Using Orthonormal Basis Vectors

Sehun Chun

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ISBN 10 : 9819544947 ISBN 13 : 9789819544943

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains: Computation Using Orthonormal Basis Vectors

Chun, Sehun

Edit� par Springer, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

Neuf Couverture rigide

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains

Sehun Chun

Edit� par Springer, Springer Nov 2025, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

Neuf Couverture rigide

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in �lie Cartan's classical theory but adapted for computational practicality, the framework aligns local basis vectors with the intrinsic geometry and anisotropy of the domain, enabling accurate and efficient discretization without requiring explicit metric tensors or Christoffel symbols. Topics include the construction of moving frames on general manifolds, covariant derivatives via connection 1-forms, and frame-based formulations of gradient, divergence, curl, and Laplacian operators. Extensive MATLAB and C++ implementations (via Nektar++) are provided for benchmark problems in diffusion-reaction systems, shallow water equations, and Maxwell's equations on complex surfaces such as the sphere, pseudosphere, and atrial tissue. Emphasizing clarity and accessibility, the book blends theory, visualization, and numerical practice, making it an essential resource for graduate students and researchers in scientific computing, applied mathematics, and engineering disciplines dealing with PDEs on non-Euclidean domains.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 268 pp. Englisch. N� de r�f. du vendeur 9789819544943

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Moving Frames for the Numerical Solution of Partial Differential Equations in Complex Domains : Computation Using Orthonormal Basis Vectors

Sehun Chun

Edit� par Springer, 2025

ISBN 10 : 9819544947 ISBN 13 : 9789819544943

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a comprehensive and geometrical approach to solving partial differential equations (PDEs) on complex curved domains using orthonormal moving frames. Rooted in �lie Cartan s classical theory but adapted for computational practicality, the framework aligns local basis vectors with the intrinsic geometry and anisotropy of the domain, enabling accurate and efficient discretization without requiring explicit metric tensors or Christoffel symbols. Topics include the construction of moving frames on general manifolds, covariant derivatives via connection 1-forms, and frame-based formulations of gradient, divergence, curl, and Laplacian operators. Extensive MATLAB and C++ implementations (via Nektar++) are provided for benchmark problems in diffusion-reaction systems, shallow water equations, and Maxwell s equations on complex surfaces such as the sphere, pseudosphere, and atrial tissue. Emphasizing clarity and accessibility, the book blends theory, visualization, and numerical practice, making it an essential resource for graduate students and researchers in scientific computing, applied mathematics, and engineering disciplines dealing with PDEs on non-Euclidean domains. N� de r�f. du vendeur 9789819544943

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