New elements of analysis on the Levi-Civita field KM Shamseddine Michigan State University, 1999 | 71 | 1999 |
32. COSY INFINITY and Its Applications in Nonlinear Dynamics M Berz, K Makino, K Shamseddine, GH Hoffstätter, W Wan Computational Differentiation: Techniques, Applications, and Tools, 363, 1996 | 62 | 1996 |
Analysis on the Levi-Civita field, a brief overview K Shamseddine, M Berz Contemporary Mathematics 508 (508), 215-237, 2010 | 55 | 2010 |
Exception handling in derivative computation with non-Archimedean calculus K Shamseddine, M Berz Computational Differentiation: Techniques, Applications, and Tools, 37-51, 1996 | 55 | 1996 |
Measure theory and integration on the Levi-Civita field K Shamseddine, M Berz Contemporary Mathematics 319, 369-388, 2003 | 47 | 2003 |
Convergence on the Levi-Civita field and study of power series K Shamseddine, M Berz Lecture Notes in Pure and Applied Mathematics, 283-300, 2001 | 41 | 2001 |
Summary on non-archimedean valued fields B Comicheo, A Daniel | 36 | 2018 |
Analytical properties of power series on Levi-Civita fields K Shamseddine, M Berz Annales Mathématiques Blaise Pascal 12 (2), 309-329, 2005 | 33 | 2005 |
Intermediate value theorem for analytic functions on a Levi-Civita field M Berz, K Shamseddine Bulletin of the Belgian Mathematical Society-Simon Stevin 14 (5), 1001-1015, 2007 | 32 | 2007 |
A brief survey of the study of power series and analytic functions on the Levi-Civita fields K Shamseddine Contemp. Math 596, 269-280, 2013 | 28 | 2013 |
Analysis on the Levi-Civita field and computational applications K Shamseddine Applied Mathematics and Computation 255, 44-57, 2015 | 21 | 2015 |
New results on integration on the Levi-Civita field K Shamseddine Indagationes Mathematicae 24 (1), 199-211, 2013 | 21 | 2013 |
The differential algebraic structure of the Levi-Civita field and applications K Shamseddine, M Berz International Journal of Applied Mathematics 3 (4), 449-464, 2000 | 21 | 2000 |
On the topological structure of the Levi-Civita field K Shamseddine Journal of mathematical analysis and applications 368 (1), 281-292, 2010 | 20 | 2010 |
Intermediate values and inverse functions on non‐Archimedean fields K Shamseddine, M Berz International Journal of Mathematics and Mathematical Sciences 30 (3), 165-176, 2002 | 17 | 2002 |
Characterization of compact and self-adjoint operators on free Banach spaces of countable type over the complex Levi-Civita field J Aguayo, M Nova, K Shamseddine Journal of Mathematical Physics 54 (2), 2013 | 14 | 2013 |
One-dimensional optimization on non-Archimedean fields K Shamseddine, V Zeidan Journal of Nonlinear and Convex Analysis 2 (3), 351-362, 2001 | 14 | 2001 |
Constrained second order optimization on non-Archimedean fields K Shamseddine, V Zeidant Indagationes Mathematicae 14 (1), 81-101, 2003 | 13 | 2003 |
Generalized power series on a non-Archimedean field K Shamseddine, M Berz Indagationes Mathematicae 17 (3), 457-477, 2006 | 12 | 2006 |
Absolute and relative extrema, the mean value theorem and the inverse function theorem for analytic functions on a Levi-Civita field K Shamseddine, M Berz Contemp. Math 551, 257-268, 2011 | 11 | 2011 |