Recent Developments in the Solution of Nonlinear Differential Equations

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  • Recent Developments in the Solution of Nonlinear Differential Equations Book Detail

  • Author : Bruno Carpentieri
  • Release Date : 2021-09-08
  • Publisher : BoD – Books on Demand
  • Genre : Mathematics
  • Pages : 374
  • ISBN 13 : 1839686561
  • File Size : 61,61 MB

Recent Developments in the Solution of Nonlinear Differential Equations by Bruno Carpentieri PDF Summary

Book Description: Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.

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This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavio