BioSimulator.jl: Stochastic simulation in Julia

Parareal Algorithm Implementation and Simulation in Julia

We present a full implementation of the parareal algorithm—an integration technique to solve di erential equations in parallel— in the Julia programming language for a fully general, rst-order, initial-value problem. Our implementation accepts both coarse and ne integrators as functional arguments. We use Euler’s method and another Runge-Kutta integration technique as the integrators in our exp...

biaccessibility in quadratic julia sets

در این رساله برای چندجمله ای های درجه ی دوم با مجموعه ی ژولیای همبند موضعی; ثابت خواهیم کرد: اندازه برولین مجموعه نقاط از دو سو دست یافتنی در چندجمله ای های درجه دو برابر با صفر است مگر چندجمله ای چبی شف که برابر با یک است. و برای چندجمله ای های درجه دوم با نقاط ثابت خنثی غیر گویا ثابت خواهیم کرد: 1)هر نقطه ی از دو سو دست یافتنی در حالت زیگل نهایتا به نقطه ی بحرانی و در حالت کرمر به نقطه ث...

Overlapping Community Detection in Social Networks Based on Stochastic Simulation

Community detection is a task of fundamental importance in social network analysis. Community structures enable us to discover the hidden interactions among the network entities and summarize the network information that can be applied in many applied domains such as bioinformatics, finance, e-commerce and forensic science. There exist a variety of methods for community detection based on diffe...

Stochastic Simulation

Parallel stochastic reaction-diffusion simulation using Gillespie stochastic simulation algorithm

Spatial stochastic simulation is a valuable method for studying processes of reaction and diffusion in biological systems. This technique requires significant computational efforts, but the availability of high-performance computing made it possible to develop coherent computational models of cells [1]. Several approaches were introduced in order to utilize parallel execution to speed up simula...