Highly Oscillatory Problems
eBook - PDF

Highly Oscillatory Problems

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

About this book

The first book to approach high oscillation as a subject of its own, Highly Oscillatory Problems begins a new dialogue and lays the groundwork for future research. It ensues from the six-month programme held at the Newton Institute of Mathematical Sciences, which was the first time that different specialists in highly oscillatory research, from diverse areas of mathematics and applications, had been brought together for a single intellectual agenda. This ground-breaking volume consists of eight review papers by leading experts in subject areas of active research, with an emphasis on computation: numerical Hamiltonian problems, highly oscillatory quadrature, rapid approximation of functions, high frequency wave propagation, numerical homogenization, discretization of the wave equation, high frequency scattering and the solution of elliptic boundary value problems.

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Yes, you can access Highly Oscillatory Problems by Bjorn Engquist,Athanasios Fokas,Ernst Hairer,Arieh Iserles in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematical Analysis. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Preface
  6. 1 Oscillations over long times in numerical Hamiltonian systems
  7. 2 Highly oscillatory quadrature
  8. 3 Rapid function approximation by modified Fourier series
  9. 4 Approximation of high frequency wave propagation problems
  10. 5 Wavelet-based numerical homogenization
  11. 6 Plane wave methods for approximating the time harmonic wave equation
  12. 7 Boundary integral methods in high frequency scattering
  13. 8 Novel analytical and numerical methods for elliptic boundary value problems