Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation

DOI10.1016/j.jcp.2016.04.025zbMath1349.82099OpenAlexW2341937350MaRDI QIDQ2375224

Sergey A. Matveev, A. P. Smirnov, Dmitry A. Zheltkov, Evgenij E. Tyrtyshnikov

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2016.04.025

zbMATH Keywords

predictor-corrector schememultidimensional convolutiontensor trainsmulticomponent coagulationmultidimensional Smoluchowski coagulation equationTT-cross

Mathematics Subject Classification ID

Related Items (12)

Low-rank method for fast solution of generalized Smoluchowski equations ⋮ Nonnegative tensor-train low-rank approximations of the Smoluchowski coagulation equation ⋮ Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics ⋮ Sketching for a low-rank nonnegative matrix approximation: numerical study ⋮ Low-rank nonnegative tensor approximation via alternating projections and sketching ⋮ Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models ⋮ An efficient numerical method for a mathematical model of a transport of coagulating particles ⋮ Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations ⋮ A hybrid particle-number and particle model for efficient solution of population balance equations ⋮ Nonnegative Tensor Train Factorizations and Some Applications ⋮ Error analysis in stochastic solutions of population balance equations ⋮ Challenges and opportunities concerning numerical solutions for population balances: a critical review

Uses Software

• TTPY

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor-Train Decomposition
• TT-cross approximation for multidimensional arrays
• A fast numerical method for the Cauchy problem for the Smoluchowski equation
• On the efficient evaluation of coalescence integrals in population balance models
• A stochastic approach for the numerical simulation of the general dynamics equation for aerosols.
• Analytical solutions for coagulation and condensation kinetics of composite particles
• Approximation of coalescence integrals in population balance models with local mass conservation
• Stochastic weighted particle methods for population balance equations with coagulation, fragmentation and spatial inhomogeneity
• On approximation of functions by exponential sums
• A differentially weighted Monte Carlo method for two-component coagulation
• Numerical study of a stochastic particle algorithm solving a multidimensional population balance model for high shear granulation
• Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity
• Exact solution of Smoluchowski's continuous multi-component equation with an additive kernel
• On the efficient computation of high-dimensional integrals and the approximation by exponential sums
• An Efficient Stochastic Algorithm for Studying Coagulation Dynamics and Gelation Phenomena
• A numerical method for the simulation of an aggregation‐driven population balance system

This page was built for publication: Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation