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Published by Springer International Publishing AG, CH, 2009
ISBN 10: 3031005821 ISBN 13: 9783031005824
Language: English
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Add to basketPaperback. Condition: New. 1°. This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities.
Published by Springer International Publishing AG, Cham, 2009
ISBN 10: 3031005821 ISBN 13: 9783031005824
Language: English
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Paperback. Condition: new. Paperback. This lecture provides a tutorial introduction to the Nystroem and locally-corrected Nystroem methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nystroem method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nystroem method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nystroem Method / The Locally-Corrected Nystroem Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nystroem Method / The Locally-Corrected Nystroem Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Published by Springer, Berlin|Springer International Publishing|Morgan & Claypool|Springer, 2009
ISBN 10: 3031005821 ISBN 13: 9783031005824
Language: English
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Add to basketCondition: New. This lecture provides a tutorial introduction to the Nystroem and locally-corrected Nystroem methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities.
Published by Springer International Publishing AG, Cham, 2009
ISBN 10: 3031005821 ISBN 13: 9783031005824
Language: English
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Add to basketPaperback. Condition: new. Paperback. This lecture provides a tutorial introduction to the Nystroem and locally-corrected Nystroem methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nystroem method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nystroem method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nystroem Method / The Locally-Corrected Nystroem Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nystroem Method / The Locally-Corrected Nystroem Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
Published by Springer International Publishing AG, CH, 2009
ISBN 10: 3031005821 ISBN 13: 9783031005824
Language: English
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Add to basketPaperback. Condition: New. 1°. This lecture provides a tutorial introduction to the Nyström and locally-corrected Nyström methods when used for the numerical solutions of the common integral equations of two-dimensional electromagnetic fields. These equations exhibit kernel singularities that complicate their numerical solution. Classical and generalized Gaussian quadrature rules are reviewed. The traditional Nyström method is summarized, and applied to the magnetic field equation for illustration. To obtain high order accuracy in the numerical results, the locally-corrected Nyström method is developed and applied to both the electric field and magnetic field equations. In the presence of target edges, where current or charge density singularities occur, the method must be extended through the use of appropriate singular basis functions and special quadrature rules. This extension is also described. Table of Contents: Introduction / Classical Quadrature Rules / The Classical Nyström Method / The Locally-Corrected Nyström Method / Generalized Gaussian Quadrature / LCN Treatment of Edge Singularities.
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Add to basketPaperback. Condition: Brand New. 114 pages. 9.25x7.51x9.25 inches. In Stock. This item is printed on demand.