scholarly journals Recent Symbolic Summation Methods to Solve Coupled Systems of Differential and Difference Equations

2014 ◽  
Author(s):  
Carsten Schneider ◽  
Johannes Bluemlein ◽  
Abilio De Freitas
Keyword(s):  
Difference Equations ◽  
Coupled Systems ◽  
Summation Methods ◽  
Symbolic Summation

scholarly journals Analytical solution of a class of coupled second order differential-difference equations

1993 ◽  
Vol 16 (2) ◽  
pp. 385-396 ◽  
Author(s):  
L. Jódar ◽  
J. A. Martin Alustiza
Keyword(s):  
Analytical Solution ◽  
Difference Equations ◽  
Initial Value Problems ◽  
Second Order ◽  
Coupled Systems ◽  
Algebraic Equations ◽  
Initial Value

In this paper coupled systems of second order differential-difference equations are considered. By means of the concept of co-solution of certain algebraic equations associated to the problem, an analytical solution of initial value problems for coupled systems of second order differential-difference equations is constructed.

scholarly journals Symbolic summation methods and congruences involving harmonic numbers

2019 ◽  
Vol 357 (10) ◽  
pp. 756-765
Author(s):  
Guo-Shuai Mao ◽  
Chen Wang ◽  
Jie Wang
Keyword(s):  
Harmonic Numbers ◽  
Summation Methods ◽  
Symbolic Summation

scholarly journals A toolbox to solve coupled systems of differential and difference equations

2016 ◽  
Author(s):  
Carsten Schneider ◽  
Jakob Ablinger ◽  
Johannes Bluemlein ◽  
Abilio De Freitas
Keyword(s):  
Difference Equations ◽  
Coupled Systems

Terrorist teams as loosely coupled systems.

2018 ◽  
Vol 73 (4) ◽  
pp. 491-503 ◽  
Author(s):  
Matthias Spitzmuller ◽  
Guihyun Park
Keyword(s):  
Coupled Systems ◽  
Loosely Coupled Systems ◽  
Loosely Coupled
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