Abstract Differential-algebraic equations (DAEs) are widely used for modelling dynamical systems. In the numerical analysis of DAEs, consistent initialization and index reduction important preprocessing steps prior to integration. Existing DAE solvers commonly adopt structural methods based on combinatorial optimization. Unfortunately, fail if has a singular system Jacobian matrix. For such hav...

We study the asymptotic behavior of solutions to wave equations with structural damping term u t ? ? + 2 = 0 , ( x ) 1 in whole space. New thresholds are reported this paper that indicate which diffusion property and non-diffusive structure dominates low regularity cases. develop end previous authors' research [2] where they have proposed a threshold expresses whether parabolic-like or wave-lik...

A new field of numerical astrophysics is introduced which addresses the solution of large, multidimensional structural or slowly-evolving problems (rotating stars, interacting binaries, thick advective accretion disks, four dimensional spacetimes, etc.), as well as rapidly-evolving systems. The technique employed is the Finite Element Method (FEM), which has been used to solve engineering struc...