Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
DE
EN
Books
Journals
Events
Topic Page
Marketing
Log in
Learn more about individual access
Request company access
13th International Engine Congress 2026 | 24 + 25 February 2026

Meeting Place for the Powertrain and Sustainable Fuels Community

Take part as a speaker in the 13th International Engine Congress 2026, the Meeting Place for the Powertrain, and Sustainable Fuels Community for the exchange of experience. Submit a subject proposal online about our main subject areas: Passenger car engine technology, Commercial vehicle engine technology and Sustainable Fuels & Energy!
EXTENDED SEARCH
Log in
Top
Published in:
Read chapter Read first chapter

2023 | OriginalPaper | Chapter

Filtering in Time-Dependent Problems

Authors : P. Megha, G. Chandhini

Published in: Frontiers in Industrial and Applied Mathematics

Publisher: Springer Nature Singapore

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

The chapter delves into the application of Fourier spectral methods in time-dependent problems, highlighting the issue of spurious oscillations caused by discontinuities. It compares various filters such as Lanczos, raised cosine, and adaptive filters, demonstrating their impact on convergence rates and accuracy. Notably, the adaptive filtering method developed by Tadmor and Tanner shows promise in improving accuracy away from discontinuities, making this chapter a valuable resource for specialists in numerical analysis and applied mathematics.
AI Generated

This summary of the content was generated with the help of AI.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
previous chapter Convergence Analysis of a Layer Resolving Numerical Techniquefor a Class of Coupled System of Singularly Perturbed Parabolic Convection-Diffusion Equations Having an Interface
next chapter Heat Transfer Model for Silk Finishing Calender
Literature
1.
Abarbanel, S., Gottlieb, D., Tadmor, E.: Spectral Methods for Discontinuous Problems, Technical Report, Institute for Computer Applications in Science and Engineering, Hampton, Virginia (1985)
2.
Cai, W., Gottlieb, D., Shu, C.W.: Essentially nonoscillatory spectral Fourier methods for shock wave calculations. Math. Comput. 52, 389–410 (1989)MATH
3.
Driscoll, T.A., Fornberg, B.: A Padé-based algorithm for overcoming the Gibbs phenomenon. Numer. Algorithms 26, 77–92 (2001)
4.
Gelb, A., Tanner, J.: Robust reprojection methods for the resolution of the Gibbs phenomenon. Appl. Comput. Harmon. Anal. 20, 3–25 (2006)CrossRefMATH
5.
Gottlieb, D., Shu, C.W., Solomonoff, A., Vandeven, H.: On the Gibbs phenomenon I: recovering exponential accuracy from the Fourier partial sum of a nonperiodic analytic function. J. Comput. Appl. Math. 43, 81–98 (1992)CrossRefMATH
6.
Kanevsky, A., Carpenter, M.H.: Idempotent filtering in spectral and spectral element methods. J. Comput. Phys. 41–58 (2006)
7.
Shizgal, B.D., Jung, J.H.: Towards the resolution of the Gibbs phenomena. J. Comput. Appl. Math. 161, 41–65 (2003)CrossRefMATH
8.
Shu, C.W., Wong, P.S.: A note on the accuracy of spectral method applied to nonlinear conservation laws. J. Sci. Comput. 10(3), 357–369 (1995)CrossRefMATH
9.
Tadmor, E., Tanner, J.: Adaptive filters for piecewise smooth spectral data. IMA J. Numer. Anal. 635–647 (2005)
10.
Vandevan, H.: Family of spectral methods for discontinuous problems. J. Sci. Comput. 6, 159–192 (1991)CrossRef
11.
Yun, B.I., Rim, K.S.: Construction of Lanczos type filters for the Fourier series approximation. Appl. Numer. Math. 59, 280–300 (2009)CrossRefMATH
Metadata
Title
Filtering in Time-Dependent Problems
Authors
P. Megha
G. Chandhini
Copyright Year
2023
Publisher
Springer Nature Singapore
Book
Frontiers in Industrial and Applied Mathematics

Print ISBN: 978-981-19-7271-3

Electronic ISBN: 978-981-19-7272-0

Copyright Year: 2023

DOI
https://doi.org/10.1007/978-981-19-7272-0_21

Premium Partners

    Image Credits