An Introduction to Delay Differential Equations | Faraz William | Maths Volunteers скачать в хорошем качестве

An Introduction to Delay Differential Equations | Faraz William | Maths Volunteers

In this talk, Faraz William explores how delay differential equations (DDEs) capture the influence of the past on the present in mathematical models. Unlike ordinary differential equations, where the current state determines the future, DDEs incorporate memory — making them powerful tools for describing complex systems in biology, finance, and engineering. Faraz introduces the mathematical foundations of delay equations and explains how stochastic delay differential equations (SDDEs) model systems influenced by both deterministic and random effects — such as market fluctuations or external shocks. The session concludes with a discussion of numerical methods used to approximate solutions, offering insights into both the theory and computation behind these fascinating equations. 🔗 Learn more about Maths Volunteers short courses: 👉 https://www.mathsvolunteers.com/servi... 📚 Topics Covered: What are delay differential equations (DDEs)? How past states affect system dynamics Examples from finance and applied sciences Introduction to stochastic DDEs Numerical methods and simulations 📅 Hosted by Maths Volunteers — bringing together students, researchers, and educators passionate about sharing mathematical knowledge. Copyright: © 2025 Maths Volunteers. All Rights Reserved. #MathsVolunteers #Mathematics #DifferentialEquations #DelayDifferentialEquations #AppliedMaths #MathTalk #NumericalMethods #StochasticProcesses #FarazWilliam #MathLecture #MathsEducation #ShortCourses #MathematicalModeling #TheScholarGuide #ScholarshipTips #fyp #for # #FullyFunded #MSPhD #StudyAbroad #NoIELTS #NoGRE #InternationalStudents #GradSchool #AcademicCV #SOPTips #ScholarshipAlert #researchfunding #careeroptions, #problemSolving, #mathisfun #TheScholarGuide #ScholarshipTips #FullyFunded #MSPhD #GradSchool #StudyAbroad #InternationalStudents #ScholarshipAlert #AcademicCV #SOPTips #ResearchFunding #Deadlines #NoIELTS #NoGRE #EnglishProficiency #ScholarshipsWithoutIELTS #ScholarshipsWithoutGRE #FullyFunded #MSPhD #StudyAbroad #InternationalStudents #TheScholarGuide #ScholarshipTips #ApplyNow #MathScholarships #STEMFunding #ResearchOpportunities #Euraxess #HKPFS #GraduateScholarships #PhDPositions #MastersScholarships #TheScholarGuide #ScholarshipTips #PakistanStudents #Peshawar #SouthAsiaStudents #communicationjobs, #careerinsights, #jobtips, #graduatetips, #internship #internationalstudents #internationalscholarships #foreignstudy #foreignscholarships #scholarshipsforinternationalstudents Davidson fellowship scholarship Mathematics for machine learning Scholarship for Maths students Scholarship for BSc Maths students Certificate for Maths projects #historyofmathematics #mathsproject with explanation #GraduateScholarships #MotivationLetter #lom #personalstatement #sop #statementofpurpose #Scholarships #StudyAbroad #Masters #PhD #AcademicWriting #UniversityApplications #ScholarshipTips #CoverLetter #PersonalStatement #GradSchool #mathsvolunteers