Explicit multistep time integration for discontinuous elastic stress wave propagation in heterogeneous solids

SS Cho, R Kolman, JA González… - … for Numerical Methods …, 2019 - Wiley Online Library
… employing different step sizes for different partitions is labeled multiple integration. This …
partitioned equations of motion for each partition and the push-forward pullback time integration

exp: N-body integration using basis function expansions

…, MD Weinberg, N Katz - Monthly Notices of the …, 2022 - academic.oup.com
… We present the N-body simulation techniques implemented in … by partitioning phase space
p ways so that each partition … As an example of the multistep procedure, let us consider only …

A novel space/time integration technology via altogether different space and time stepping methods for nonlinear first-order systems

D Tae, KK Tamma - … Journal of Numerical Methods for Heat & Fluid …, 2023 - emerald.com
… Eventually, we integrate different spatial and time integration schemes toward a robust
computational framework. The present framework preserves the requisite second-order accuracy …

A multirate discontinuous-Galerkin-in-time framework for interface-coupled problems

JM Connors, KC Sockwell - SIAM Journal on Numerical Analysis, 2022 - SIAM
… numerical time integration is performed with different time … of single-step, multistep, and
multistage methods. A concrete … work, where we will discuss partitioned methods. In this paper, …

Time-adaptive partitioned method for fluid-structure interaction problems with thick structures

M Bukač, G Fu, A Seboldt, C Trenchea - Journal of Computational Physics, 2023 - Elsevier
… on the strongly-coupled partitioned method developed in [8]. The time integration used in this
… ‘θ-like’ method, which is combined with the partitioned approach used in [50]. The resulting …

Numerical simulation of the non-linear Schrödinger equation A comparative study based on the summation-by-parts method in space and time

I Hamoud - 2023 - diva-portal.org
… a model for many-body problems in physics characterized by … for SBP is considered for
time integration, referred to as … the partitioning of equations by term. Here, Eq. (23) involves …

A multi-timestep Robin–Robin domain decomposition method for time dependent advection-diffusion problems

C Canuto, AL Giudice - Applied Mathematics and Computation, 2019 - Elsevier
… nodal partitioning methods and element partitioning methods. For hyperbolic problems from
… By employing larger time integration steps, is it possible to get significant savings in the …

[PDF][PDF] Towards a Unified Single Analysis Framework Embedded with Multiple Spatial and Time Discretized Methods for Linear Structural Dynamics.

D Tae, KK Tamma - CMES-Computer Modeling in Engineering …, 2023 - cdn.techscience.cn
integrating altogether different spatial methods as well. The coupling of different spatial and
time discretization methods … the selection of the appropriate method for a specific situation. …

Non-relaxed finite volume fractional step schemes for unsteady incompressible flows

FA Díaz, E Castillo, RC Cabrales, NO Moraga - Computers & Mathematics …, 2023 - Elsevier
… Implicit multistage methods and the backward difference … error for each method and the
time integration scheme used. … In this context, consider a partition of the domain Ω into N v c …

Iterative refinement algorithm for efficient velocities and accelerations solutions in closed-loop multibody dynamics

Y Pan, W Dai, L Huang, Z Li, A Mikkola - Mechanical Systems and Signal …, 2021 - Elsevier
… to accelerate the numerical integration process of a semi-… ones based on the coordinate
partitioning technique and loop-… y k + 1 is an accurate multistep method. The Adams–Bashforth-…