We developed a multiple time-stepping (MTS) algorithm for multiscale modeling of the dynamics of platelets flowing in viscous blood plasma. This MTS algorithm improves considerably the computational efficiency without significant loss of accuracy. This study of the dynamic properties of flowing platelets employs a combination of the dissipative particle dynamics (DPD) and the coarse-grained mol...

This work develops adaptive time stepping algorithms for the approximation of a functional of a diffusion with jumps based on a jump augmented Monte Carlo Euler–Maruyama method, which achieve a prescribed precision. The main result is the derivation of new expansions for the time discretization error, with computable leading order term in a posteriori form, which are based on stochastic flows a...

Vesicles are locally-inextensible fluid membranes that can sustain bending. In this paper, we extend “A numerical method for simulating the dynamics of 3D axisymmetric vesicles suspended in viscous flows”, Veerapaneni et al. Journal of Computational Physics, 228(19), 2009 to general non-axisymmetric vesicle flows in three dimensions. Although the main components of the algorithm are similar in ...

Convolution equations for time and space-time problems have many important applications, e.g., for the modelling of wave or heat propagation via ordinary and partial differential equations as well as for the corresponding integral equation formulations. For their discretization, the convolution quadrature (CQ) has been developed since the late 1980’s and is now one of the most popular method in...

Abstract. We present a new optimization-based, conservative, and quasi-monotone method for passive tracer transport. The scheme combines high-order spectral element discretization in space with semi-Lagrangian time stepping. Solution of a singly linearly constrained quadratic program with simple bounds enforces conservation and physically motivated solution bounds. The scheme can handle efficie...

Balance recovery from an unpredictable postural perturbation can be a challenging task for many older people and poor recovery could contribute to their risk of falls. This study examined associations between responses to unpredictable perturbations and fall risk in older people. 242 older adults (80.0 ± 4.4 years) underwent assessments of stepping responses to multi-directional force-controlle...

Abstract We develop an adaptive algorithm for large SDE systems, which automatically selects (quasi-)deterministic time steps the semi-implicit Euler method, based on a posteriori weak error estimate. Main tools to construct estimator are representation of approximation via Kolmogorov’s backward equation, priori bounds its solution and Clark–Ocone formula. For certain class we validate optimal ...

In this paper, we propose a full discretization scheme for the instationary thermal-electro-hydrodynamic (TEHD) Boussinesq equations. These equations model dynamics of non-isothermal, dielectric fluid under influence dielectrophoretic (DEP) force. Our combines an H 1 -conformal finite element method spatial with backward differentiation formula (BDF) time stepping. The resulting allows decouple...

the sensitivity analysis for multi-attribute decision making (madm) problems is important for two reasons: first, the decision matrix as the source of the results of a decision problem is inaccurate because it sorts the alternatives in each criterion inaccurately. second, the decision maker may change his opinions in a time period because of changes in the importance of the criteria and in the ...