The aim of this paper is twofold: the first to formulate and validate a multi-scale discrete Boltzmann method (DBM) based on density functional kinetic theory for thermal multiphase flow systems, ranging from continuum transition regime; second present some new insights into thermo-hydrodynamic non-equilibrium (THNE) effects in phase separation process. Methodologically, DBM includes three main...

We introduce a class of multi-scale systems with discrete time, motivated by the problem inviscid limit in fluid dynamics presence small-scale noise. These are infinite-dimensional and defined on scale-invariant space-time lattice. propose qualitative theory describing vanishing regularization (inviscid) as an attractor renormalization group operator acting space flow maps or respective probabi...

Multi-stage financial decision optimization under uncertainty depends on a careful numerical approximation of the underlying stochastic process, which describes the future returns of the selected assets or asset categories. Various approaches towards an optimal generation of discrete-time, discrete-state approximations (represented as scenario trees) have been suggested in the literature. In th...

The representation of discrete, compact wavelet transformations (WTs) as circuits of local unitary gates is discussed. We employ a similar formalism as used in the multi-scale representation of quantum many-body wavefunctions using unitary circuits, further cementing the relation established in Refs. 1 and 2 between classical and quantum multi-scale methods. An algorithm for constructing the ci...

In this paper we consider a multi-item, multi-machine discrete lot sizing and scheduling problems (DLSP) which consists of finding a minimal cost production schedule over a finite discrete horizon, where in each period a machine may be either producing one item at full capacity or is idle. The demand for each item in each period is known, and can be satisfied either by production in the period,...

Abstract. An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation. Determinant formulas of N-soliton solutions of the continuous and semi-discrete Camassa-Holm equations are presented. Based on determinant formulas, we can generate multi-soliton, multi-cuspon and multi-...

In cognitive radio network model consisting of secondary users and primary users, in order to solve the difficult multi-objective spectrum allocation issue about maximizing network efficiency and users’ fairness to access network, this paper proposes a new discrete multi-objective combinatorial optimization mechanism— HJ-DQPSO based on Hooke Jeeves (HJ) and Quantum Particle Swarm Optimization (...

We derive the discrete linear systems associated to multi–matrix models, the corresponding discrete hierarchies and the appropriate coupling conditions. We also obtain the W 1+∞ constraints on the partition function. We then apply to multi– matrix models the technique, developed in previous papers, of extracting hierarchies of differential equations from lattice ones without passing through a c...

Nowadays, simulation tools have become essential. They allow to study and understand complexes actions that may be impossible to study in situ. In this paper we introduce an approach to use Discrete Event System Specification model as agents and finally create an original platform which allows using DEVS framework and a Multi Agent System platform working together to simulate population dynamic...

This paper describes a successful adaptation of the Particle Swarm Optimization algorithm to discrete optimization problems. In the proposed algorithm, particles cycle through multiple phases with differing goals. We also exploit hill climbing. On benchmark problems, this algorithm outperforms a genetic algorithm and a previous discrete PSO formulation.