4 papers · 1 filter
How to avoid order reduction in third-order exponential Runge--Kutta methods for problems with non-commutative operators?
Thi Tam Dang, Trung Hau Hoang
This paper investigates the performance of a subclass of exponential integrators, specifically explicit exponential Runge--Kutta methods. It is well known that third-order methods…
Adapted Lie splitting method for convection-diffusion problems with singular convective term
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi
Splitting methods are a widely used numerical scheme for solving convection-diffusion problems. However, they may lose stability in some situations, particularly when applied to co…
Existence for noncoercive nonlinear elliptic equations with two lower-order terms
Thi Tam Dang, Trung Hau Hoang
This paper considers a class of noncoercive nonlinear elliptic problems with coefficients defined in Marcinkiewicz and Lorentz spaces. We prove the existence of a solution for the…
Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation
T. T. Dang, G. Orlandi
This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order…