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2 Results Found

  • Article
  • Open Access
9 Citations
2,960 Views
30 Pages

Numerical Solution of Stieltjes Differential Equations

  • Francisco J. Fernández and
  • F. Adrián F. Tojo

11 September 2020

This work is devoted to the obtaining of a new numerical scheme based on quadrature formulae for the Lebesgue–Stieltjes integral for the approximation of Stieltjes ordinary differential equations. This novel method allows us to numerically appr...

  • Article
  • Open Access
6 Citations
3,103 Views
30 Pages

Displacement Calculus

  • Ignacio Márquez Albés and
  • F. Adrián F. Tojo

14 March 2020

In this work, we establish a theory of Calculus based on the new concept of displacement. We develop all the concepts and results necessary to go from the definition to differential equations, starting with topology and measure and moving on to diffe...