A suite of second-order composite sub-step explicit algorithms with controllable numerical dissipation and maximal stability bounds
This paper constructs a composite s-sub-step explicit method and analyzes second-order
accuracy, conditional stability, and dissipation control at the bifurcation point. In the present s …
accuracy, conditional stability, and dissipation control at the bifurcation point. In the present s …
On enhanced second-order explicit integration methods with controllable algorithmic dissipation and adjustable sub-step size for hyperbolic problems
This paper constructs and analyzes a generalized composite two-sub-step explicit method to
solve various dynamical problems effectively. Via the accuracy and dissipation analysis, the …
solve various dynamical problems effectively. Via the accuracy and dissipation analysis, the …
On second-order s-sub-step explicit algorithms with controllable dissipation and adjustable bifurcation point for second-order hyperbolic problems
This paper proposes a self-starting, second-order accurate, composite s-sub-step explicit
method, within which the first five explicit members are developed, analyzed, and compared …
method, within which the first five explicit members are developed, analyzed, and compared …
On designing and developing single‐step second‐order implicit methods with dissipation control and zero‐order overshoots via subsidiary variables
Hilber and Hughes gave several competitive demands on the implicit methods in 1978.
However, there are no such integration methods in the traditional algorithm design. Via …
However, there are no such integration methods in the traditional algorithm design. Via …
High-order accurate multi-sub-step implicit integration algorithms with dissipation control for hyperbolic problems
This paper proposes an implicit family of sub-step integration algorithms grounded in the
explicit singly diagonally implicit Runge–Kutta (ESDIRK) method. The proposed methods …
explicit singly diagonally implicit Runge–Kutta (ESDIRK) method. The proposed methods …
[引用][C] Directly Self-Starting Second-Order Explicit Integration Methods with Dissipation Control and Adjustable Bifurcation Points for Second-Order Initial Value …
This paper proposes a directly self-starting second-order s-sub-step explicit method, within
which the three novel members are developed and analyzed for demonstration. The novel …
which the three novel members are developed and analyzed for demonstration. The novel …