Synopsis The failure of landslide dam formed by mass movements may occur by sudden sliding of the dam body. So, this study focuses on three-dimensional (3D) transient seepage and slope stability analysis of landslide dam. The 3D slope stability model coupled with transient seepage flow model is used for numerical simulations. Experiments are performed in the flume to measure movement of moistur...

We consider residual-based stabilised finite element methods for the generalised Oseen problem. The unique solvability based on a modified stability condition and an error estimate are proved for inf-sup stable discretisations of velocity and pressure. The analysis highlights the role of an additional stabilisation of the incompressibility constraint. It turns out that the stabilisation terms o...

In this paper, we propose and numerically investigate a family of locally divergence-free central discontinuous Galerkin methods for ideal magnetohydrodynamic (MHD) equations. The methods are based on the original central discontinuous Galerkin methods (SIAM Journal on Numerical Analysis 45 (2007) 2442-2467) for hyperbolic equations, with the use of approximating functions that are exactly dive...

This work considers the question of whether mean-curvature flow can be modified to avoid the formation of singularities. We analyze the finite-elements discretization and demonstrate why the original flow can result in numerical instability due to division by zero. We propose a variation on the flow that removes the numerical instability in the discretization and show that this modification res...

For the numerical solution of stochastic differential equations explicit economical three-stage Runge-Kutta schemes of weak second order have been proposed in a previous work. Here numerical stability of these methods is studied and some examples are presented to support the theoretical results. Mathematics Subject Classification: 60H10

This paper gives perturbation analyses for the Cholesky factorization A = R T R of a real symmetric positive deenite matrix A, with the form of perturbations we could expect from the equivalent backward error in A resulting from numerically stable computations on nite precision oating point computers. First-order and rigorous perturbation bounds are are obtained. The analyses more accurately re...

We present an analysis for a simple two-component harmonic oscillator that compares the use of position-Verlet to velocity-Verlet for multiple-time step integration. The numerical stability analysis based on the impulse-Verlet splitting shows that position-Verlet has enhanced stability, in terms of the largest allowable time step, for cases where an ample separation of time scales exists. Numer...

We present the full one-loop corrections to charged and CP-even neutral Higgs boson decays into sfermions including also the crossed channels. The calculation was carried out in the minimal supersymmetric extension of the Standard Model and we use the on-shell renormalization scheme. For the down-type sfermions, we use DR running fermion masses and the trilinear coupling Af as input. Furthermor...

We present a fast and numerically stable algorithm for computing the eigendecom-position of a symmetric block diagonal plus semiseparable matrix. We report numerical experiments that indicate that our algorithm is signiicantly faster than the standard method which treats the given matrix as a general symmetric dense matrix.

This paper concerns stability analysis and controller design for repetitive control. First, a two-dimensional (2D) continuous-discrete hybrid model of a repetitive control system is established. Next, new criteria for the asymptotic stability of the system are presented based on the model. Then, these criteria are extended to calculate lower bounds on stability margins to design a suitable cont...