An implicit solver for 1D arterial network models.
Sign Up to like & getrecommendations! Published in 2017 at "International journal for numerical methods in biomedical engineering"
DOI: 10.1002/cnm.2837
Abstract: In this study, the 1D blood flow equations are solved using a newly proposed enhanced trapezoidal rule method (ETM), which is an extension to the simplified trapezoidal rule method. At vessel junctions, the conservation of… read more here.
Keywords: etm scheme; network; implicit solver; arterial network ... See more keywords
A simple and efficient adaptive time stepping technique for low‐order operator splitting schemes applied to cardiac electrophysiology
Sign Up to like & getrecommendations! Published in 2022 at "International Journal for Numerical Methods in Biomedical Engineering"
DOI: 10.1002/cnm.3670
Abstract: We present a simple, yet efficient adaptive time stepping scheme for cardiac electrophysiology (EP) simulations based on standard operator splitting techniques. The general idea is to exploit the relation between the splitting error and the… read more here.
Keywords: time; operator splitting; adaptive time; time step ... See more keywords
Reciprocal mass matrices and a feasible time step estimator for finite elements with Allman's rotations
Sign Up to like & getrecommendations! Published in 2020 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.6583
Abstract: Finite elements with Allman's rotations provide good computational efficiency for explicit codes exhibiting less locking than linear elements and lower computational cost than quadratic finite elements. One way to further raise their efficiency is to… read more here.
Keywords: elements allman; time step; reciprocal mass; finite elements ... See more keywords
Maximum time step for the BDF3 scheme applied to gradient flows
Sign Up to like & getrecommendations! Published in 2020 at "Calcolo"
DOI: 10.1007/s10092-020-00393-3
Abstract: For backward differentiation formulae (BDF) applied to gradient flows of semiconvex functions, quadratic stability implies the existence of a Lyapunov functional. We compute the maximum time step which can be derived from quadratic stability for… read more here.
Keywords: applied gradient; step; bdf3 scheme; gradient flows ... See more keywords
Optimal evaluation of time step size in numerical simulation for two-dimensional flow sensing
Sign Up to like & getrecommendations! Published in 2017 at "Cluster Computing"
DOI: 10.1007/s10586-017-1250-4
Abstract: This paper proposes an optimal evaluation of time step size for numerical computations based on the 180 numerical simulations of the two-dimensional unsteady flow at low Reynolds number around a circular cylinder. A proper time… read more here.
Keywords: optimal evaluation; size; step size; time step ... See more keywords
Symplectic integrators with adaptive time step applied to runaway electron dynamics
Sign Up to like & getrecommendations! Published in 2019 at "Numerical Algorithms"
DOI: 10.1007/s11075-018-0636-6
Abstract: Studying the dynamics of runaway electrons has theoretical and practical significance. As the system is highly relativistic, multi-scale and nonlinear, accurate and efficient numerical methods with long-term stability are necessary. In this paper, we develop… read more here.
Keywords: electron dynamics; runaway electron; step; adaptive time ... See more keywords
Performance analysis of faber polynomial based local propagators for photonics
Sign Up to like & getrecommendations! Published in 2025 at "Optical and Quantum Electronics"
DOI: 10.1007/s11082-025-08072-9
Abstract: The computation of the propagation of an electromagnetic wave in the time domain is examined using local Faber polynomial based time dependent propagators. Conventionally, the whole computational domain is evaluated by one global operator. Contrary,… read more here.
Keywords: time; polynomial based; time step; performance analysis ... See more keywords
A Large Time Step explicit scheme (CFL>1) on unstructured grids for 2D conservation laws: Application to the homogeneous shallow water equations
Sign Up to like & getrecommendations! Published in 2017 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2017.02.043
Abstract: Abstract In this work, a Large Time Step (LTS) explicit finite volume scheme designed to allow CFL > 1 is applied to the numerical resolution of 2D scalar and systems of conservation laws on triangular… read more here.
Keywords: scheme; conservation laws; time step; large time ... See more keywords
A multiple-grid-time-step lattice Boltzmann method for transport phenomena with dissimilar time scales: Application in dendritic solidification
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2018.06.023
Abstract: Abstract In this paper, a multiple-grid-time-step model was developed for lattice Boltzmann (LB) simulations when combined transport equations need to be solved, so that the time step and grid size can be selected independently for… read more here.
Keywords: transport; time; grid time; time step ... See more keywords
Effects of time step length and positioning location on ring-measured infiltration rate
Sign Up to like & getrecommendations! Published in 2017 at "Catena"
DOI: 10.1016/j.catena.2017.05.013
Abstract: Abstract Soil infiltration, an important component of hillslope hydrology, is widely measured with ring infiltrometers. In the numerical algorithms used for soil infiltration measurement, the time step length (STL) for reading water level and positioning… read more here.
Keywords: time step; infiltration; infiltration rate;
Fractional Monte Carlo time steps for the simulation of coagulation for parallelized flowsheet simulations
Sign Up to like & getrecommendations! Published in 2018 at "Chemical Engineering Research and Design"
DOI: 10.1016/j.cherd.2018.04.046
Abstract: Abstract The event-driven acceptance rejection (AR) method is a computationally very advantageous Monte Carlo (MC) simulation technique for the solution of population balance equations (PBE) of coagulating systems. In the scope of the event-driven simulation… read more here.
Keywords: monte carlo; time; simulation time; method ... See more keywords