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Research and Publications - Department of Mathematics

Research and Publications - Department of Mathematics

 

Recent Submissions

  • Alternating Direction Implicit (ADI) Methods for Solving Two-Dimensional Parabolic Interface Problems with Variable Coefficients 
    Li, Chuan; Long, Guangqing; Li, Yiquan; Zhao, Shan (2021)
    The matched interface and boundary method (MIB) and ghost fluid method (GFM) are two well-known methods for solving elliptic interface problems. Moreover, they can be coupled with efficient time advancing methods, such as ...
  • On Integral Operators with Operator-Valued Kernels 
    Shahmurov, Rishad (2010)
    Here, we study the continuity of integral operators with operator-valued kernels. Particularly we get LqS; X → LpT; Y estimates under some natural conditions on the kernel k : T × S → BX, Y, where X and Y are Banach spaces, ...
  • On Fibonacci Functions with Periodicity 
    Kim, Hee Sik; Neggers, Joseph; So, Keum Sook (2012)
    In this paper we discuss Fibonacci functions using the (ultimately) periodicity and we also discuss the exponential Fibonacci functions. Especially, given a non-negative real-valued function, we obtain several exponential ...
  • On Fibonacci Functions with Fibonacci Numbers 
    Han, Jeong Soon; Kim, Hee Sik; Neggers, Joseph (2012)
    In this paper we consider Fibonacci functions on the real numbers R, i.e., functions f : R → R such that for all x ∈ R, f(x + 2) = f(x + 1) + f(x). We develop the notion of Fibonacci functions using the concept of f-even ...
  • Fibonacci Sequences in Groupoids 
    Han, Jeong Soon; Kim, Hee Sik; Neggers, Joseph (2012)
    In this article, we consider several properties of Fibonacci sequences in arbitrary groupoids (i.e., binary systems). Such sequences can be defined in a left-hand way and a right-hand way. Thus, it becomes a question of ...
  • THUNDER: Helping Underfunded NPO’s Distribute Electronic Resources 
    Loewen, Gabriel; Galloway, Jeffrey; Robinson, Jeffrey; Hong, Xiaoyan; Vrbsky, Susan (2013)
    As federal funding in many public non-profit organizations (NPO’s) seems to be dwindling, it is of the utmost importance that efforts are focused on reducing operating costs of needy organizations, such as public schools. ...
  • Generalized Fibonacci Sequences in Groupoids 
    Kim, Heek Sik; Neggers, J.; So, Keum Sook (2013)
    In this paper, we introduce the notion of generalized Fibonacci sequences over a groupoid and discuss it in particular for the case where the groupoid contains idempotents and pre-idempotents. Using the notion of ...
  • Fuzzy Rank Functions in the Set of all Binary Systems 
    Kim, Hee Sik; Neggers, J.; So, Keum Sook (2016)
    In this paper, we introduce fuzzy rank functions for groupoids, and we investigate their roles in the semigroup of binary systems by using the notions of right parallelisms and ρ-shrinking groupoids.
  • Several Types of Groupoids Induced by Two-Variable Functions 
    Allen, P.J.; Kim, Hee Sik; Neggers, J. (2016)
    In this paper, we introduce the concept of several types of groupoids related to semigroups, viz., twisted semigroups for which twisted versions of the associative law hold. Thus, if (X, ∗) is a groupoid and if ϕ : X2 → ...