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Introduction

  • Erdogan Madenci
  • Atila Barut
  • Mehmet Dorduncu
Chapter

Abstract

Although the differentiation process is usually more direct than integration in analytical mathematics, the reverse is true in computational mathematics, especially in the presence of a jump discontinuity or a singularity. Integration is a nonlocal process because it depends on the entire range of integration. However, differentiation is a local process. Mathematical modeling and understanding of most physical phenomena require the determination of derivatives of the field variable or the discrete data with or without scatter.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Erdogan Madenci
    • 1
  • Atila Barut
    • 1
  • Mehmet Dorduncu
    • 1
  1. 1.Aerospace and Mechanical Engineering DepartmentUniversity of ArizonaTucsonUSA

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