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  2. Regning og matematisk analyse
  3. Differentialregning & ligninger

Integral Equation Methods for Evolutionary PDE

- A Convolution Quadrature Approach
Af: Francisco-Javier Sayas, Lehel Banjai Engelsk Hardback

Integral Equation Methods for Evolutionary PDE

- A Convolution Quadrature Approach
Af: Francisco-Javier Sayas, Lehel Banjai Engelsk Hardback
Tjek vores konkurrenters priser
This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.

Properties of convolution quadrature, based on both linear multistep and Runge-Kutta methods, are explained in detail, always with wave propagation problems in mind. Main algorithms for implementing the discrete schemes are described and illustrated by short Matlab codes; translation to other languages can be found on the accompanying GitHub page. The codes are used to present numerous numerical examples to give the reader a feeling for the qualitative behaviour of the discrete schemes in practice. Applications to acoustic and electromagnetic scattering are described with an emphasis on the acoustic case where the fully discrete schemes for sound-soft and sound-hard scattering are developed and analysed in detail. A strength of the book is that more advanced applications such as linear and non-linear impedance boundary conditions and FEM/BEM coupling are also covered. While the focus is on wave scattering, a chapter on parabolic problems is included which also covers the relevant fast and oblivious algorithms. Finally, a brief description of data sparse techniques and modified convolution quadrature methods completes the book.

Suitable for graduate students and above, this book is essentially self-contained, with background in mathematical analysis listed in the appendix along with other useful facts. Although not strictly necessary, some familiarity with boundary integral equations for steady state problems is desirable.
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This book provides a comprehensive analysis of time domain boundary integral equations and their discretisation by convolution quadrature and the boundary element method.

Properties of convolution quadrature, based on both linear multistep and Runge-Kutta methods, are explained in detail, always with wave propagation problems in mind. Main algorithms for implementing the discrete schemes are described and illustrated by short Matlab codes; translation to other languages can be found on the accompanying GitHub page. The codes are used to present numerous numerical examples to give the reader a feeling for the qualitative behaviour of the discrete schemes in practice. Applications to acoustic and electromagnetic scattering are described with an emphasis on the acoustic case where the fully discrete schemes for sound-soft and sound-hard scattering are developed and analysed in detail. A strength of the book is that more advanced applications such as linear and non-linear impedance boundary conditions and FEM/BEM coupling are also covered. While the focus is on wave scattering, a chapter on parabolic problems is included which also covers the relevant fast and oblivious algorithms. Finally, a brief description of data sparse techniques and modified convolution quadrature methods completes the book.

Suitable for graduate students and above, this book is essentially self-contained, with background in mathematical analysis listed in the appendix along with other useful facts. Although not strictly necessary, some familiarity with boundary integral equations for steady state problems is desirable.
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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 268
ISBN-13: 9783031132193
Indbinding: Hardback
Udgave:
ISBN-10: 303113219X
Kategori: Differentialregning & ligninger
Udg. Dato: 9 nov 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 9 nov 2022
Forfatter(e): Francisco-Javier Sayas, Lehel Banjai
Forfatter(e) Francisco-Javier Sayas, Lehel Banjai

Kategori Differentialregning & ligninger

ISBN-13 9783031132193

Sprog Engelsk

Indbinding Hardback

Sider 268

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 9 nov 2022

Oplagsdato 9 nov 2022

Forlag Springer International Publishing AG

Kategori sammenhænge