World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

On the Problem of Optimal Approximation of the Four-wave Kinetic Integral : Volume 9, Issue 5/6 (30/11/-0001)

By Polnikov, V. G.

Click here to view

Book Id: WPLBN0004020051
Format Type: PDF Article :
File Size: Pages 16
Reproduction Date: 2015

Title: On the Problem of Optimal Approximation of the Four-wave Kinetic Integral : Volume 9, Issue 5/6 (30/11/-0001)  
Author: Polnikov, V. G.
Volume: Vol. 9, Issue 5/6
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Polnikov, V. G., & Farina, L. (-0001). On the Problem of Optimal Approximation of the Four-wave Kinetic Integral : Volume 9, Issue 5/6 (30/11/-0001). Retrieved from

Description: Centro de Previsão de Tempo e Estudos Climáticos (CPTEC), Instituto Nacional de Pesquisas Espaciais (INPE), CPTEC/INPE, Cachoeira Paulista, SP, 12630-000, Brazil. The problem of optimization of analytical and numerical approximations of Hasselmann's nonlinear kinetic integral is discussed in general form. Considering the general expression for the kinetic integral, a principle to obtain the optimal approximation is formulated. From this consideration it follows that the most well-accepted approximations, such as Discrete Interaction Approximation (DIA) (Hasselmann et al., 1985), Reduced Integration Approximation (RIA) (Lin and Perry, 1999), and the Diffusion Approximation proposed recently in Zakharov and Pushkarev (1999) (ZPA), have the same roots. The only difference among them is, essentially, the choice of the 4-wave configuration for the interacting waves. To evaluate a quality of any approximation for the 2-D nonlinear energy transfer, a mathematical measure of relative error is constructed and the meaning of approximation efficiency is postulated. By the use of these features it is shown that DIA has better accuracy and efficiency than ZPA. Following to the general idea of optimal approximation and by using the measures introduced, more efficient and faster versions of DIA are proposed.

On the problem of optimal approximation of the four-wave kinetic integral


Click To View

Additional Books

  • Scaling Properties of Planetary Calderas... (by )
  • A Possible Theory for the Interaction Be... (by )
  • Time-dependent Long's Equation : Volume ... (by )
  • An Extended Approach for Spatiotemporal ... (by )
  • On the Nonlinear Dynamics of Rupture : V... (by )
  • High Frequency Ion Sound Waves Associate... (by )
  • Similarities Between Extreme Events in t... (by )
  • Numerical Detection of Unstable Periodic... (by )
  • Brief Communication: 2-d Numerical Model... (by )
  • Sensitivity to Observations Applied to F... (by )
  • Self-organized Criticality: Does it Have... (by )
  • Momentum and Buoyancy Transfer in Atmosp... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from Hawaii eBook Library are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.