Time Integration of Tensor Trains
نویسندگان
چکیده
منابع مشابه
Time Integration of Tensor Trains
A robust and efficient time integrator for dynamical tensor approximation in the tensor train or matrix product state format is presented. The method is based on splitting the projector onto the tangent space of the tensor manifold. The algorithm can be used for updating time-dependent tensors in the given data-sparse tensor train / matrix product state format and for computing an approximate s...
متن کاملSobol Tensor Trains for Global Sensitivity Analysis
Sobol indices are a widespread quantitative measure for variance-based global sensitivity analysis, but computing and utilizing them remains challenging for high-dimensional systems. We propose the tensor train decomposition (TT) as a unified framework for surrogate modeling and global sensitivity analysis via Sobol indices. We first overview several strategies to build a TT surrogate of the un...
متن کاملSynaptic Coding of Time-Varying Spike Trains‡
Spike-producing neurons produce complex responses to stationary input trains. These responses have been described using techniques from the field of nonlinear dynamics, and are typical of those from periodically perturbed nonlinear oscillators. Here we are concerned with the effects of nonstationary input trains. We present recent simulation results, largely in agreement with experimental resul...
متن کاملEnergy Consumption and Running Time for Trains
The accuracy in determined energy consumption and running time of trains, by means of computer simulation, is dependent upon the various models used. This thesis aims at developing validated models of running resistance, train and of a general driver, all based on full scale testing. A partly new simple methodology for determining running resistance, called by energy coasting method is develope...
متن کاملA Modified Multi Time Step Integration for Dynamic Analysis
In this paper new implicit higher order accuracy (N-IHOA) time integration based on assumption of constant time step is presented for dynamic analysis. This method belongs to the category of the multi time step integrations. Here, current displacement and velocity are assumed to be functions of the velocities and accelerations of several previous time steps, respectively. This definition causes...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2015
ISSN: 0036-1429,1095-7170
DOI: 10.1137/140976546