In this paper, we are interested in high-order algorithms for time discretization and focus
upon the high-order implicit/explicit algorithm designs. Five high-order unconditionally …

On the occasion of 60 years to a seminal paper by the Swedish mathematician Germund
Dahlquist, this review paper starts by discussing the celebrated Dahlquist's barriers, which …

The most commonly used adaptive time stepping technique is mainly based on the simple
notion of a local error estimation. Accordingly, a variety of error estimators have mostly been …

Abstract The “Generalized Single Step Single Solve” framework for first-order transient
systems (GS4-1) is considered to develop adaptive time stepping via a newly proposed a …

Thermal performance analysis is crucial for ensuring optimal operation in 3D integrated chip
(IC) systems with through-silicon vias (TSV). In this paper, we focuses on the thermal …

Due to the lack of and limited work done for first/second-order systems useful for
multidisciplinary problems, this paper proposes a new and novel composite isochronous …

In this paper, a novel time-weighted residual methodology is developed in the two-field form
of structural dynamics problems to enable generalized class of optimal zero-order …

Heat transfer process significantly affects the life span of gun barrels as it directly associates
to the thermoelastic dynamic responses, erosion, and wears of gun barrels. The previous …

In this paper, a family of four-stage singly diagonally implicit Runge-Kutta methods are
proposed to solve first-/second-order time-dependent problems, exhibiting the following …

Energy conserving and dissipative algorithm designs in Hamilton's canonical equations via
Petrov–Galerkin time finite element methodology are proposed in this paper that provide …