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math.NA2023
Exponential Asymptotics using Numerical Rational Approximation in Linear Differential Equations
Christopher J. Lustri, Samuel C. Crew, S. Jonathan Chapman
Singularly-perturbed ordinary differential equations often exhibit Stokes' phenomenon, which describes the appearance and disappearance of oscillating exponentially small terms acr…
math.CV2023
Locating complex singularities of Burgers' equation using exponential asymptotics and transseries
Christopher J. Lustri, Ines Aniceto, Daniel J. VandenHeuvel +1
Burgers' equation is an important mathematical model used to study gas dynamics and traffic flow, among many other applications. Previous analysis of solutions to Burgers' equation…