|
|
|
|
|
Konstantin Volkov
The opportunities provided by new information technologies, object-oriented programming tools, and modern operating systems for solving boundary value problems in CFD described by partial differential equations are discussed. An approach to organizing ve...
ver más
|
|
|
|
|
|
|
|
|
|
|
Christos Tzimopoulos, Kyriakos Papadopoulos, Nikiforos Samarinas, Basil Papadopoulos and Christos Evangelides
In this work, a novel fuzzy FEM (Finite Elements Method) numerical solution describing the recession flow in unconfined aquifers is proposed. In general, recession flow and drainage problems can be described by the nonlinear Boussinesq equation, while th...
ver más
|
|
|
|
|
|
|
|
|
|
|
Andrea D?Ambrosio and Roberto Furfaro
This paper demonstrates the utilization of Pontryagin Neural Networks (PoNNs) to acquire control strategies for achieving fuel-optimal trajectories. PoNNs, a subtype of Physics-Informed Neural Networks (PINNs), are tailored for solving optimal control pr...
ver más
|
|
|
|
|
|
|
|
|
|
|
Ferenc Izsák and Rudolf Izsák
A neural-network-assisted numerical method is proposed for the solution of Laplace and Poisson problems. Finite differences are applied to approximate the spatial Laplacian operator on nonuniform grids. For this, a neural network is trained to compute th...
ver más
|
|
|
|
|
|
|
|
|
|
|
Ferenc Izsák and Taki Eddine Djebbar
We propose neural-network-based algorithms for the numerical solution of boundary-value problems for the Laplace equation. Such a numerical solution is inherently mesh-free, and in the approximation process, stochastic algorithms are employed. The chief ...
ver más
|
|
|
|
|
|
|
|
|
|
|
James T. Jenkins and Michele Larcher
Kinetic theory is used to propose and solve boundary value problems for fully developed, steady, dense gravity-driven flows of mixtures composed of identical inelastic spheres and water over both inclined erodible beds and rigid, bumpy bases confined by ...
ver más
|
|
|
|
|
|
|
|
|
|
|
Efthimios Providas and Ioannis Nestorios Parasidis
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate me...
ver más
|
|
|
|
|
|
|
|
|
|
|
Elettra Agliardi and Rossella Agliardi
A new explicit form is provided for the solution of optimal stopping problems involving a multidimensional geometric Brownian motion. A free-boundary value approach is adopted and the value function is obtained via fundamental solution methods. There are...
ver más
|
|
|
|
|
|
|
|
|
|
|
Christos Tzimopoulos, Nikiforos Samarinas, Basil Papadopoulos and Christos Evangelides
The process of how soil moisture profiles evolve into the soil and reach the root zone could be estimated by solving the appropriate strong nonlinear Richards? equation. The nonlinearity of the equation occurs because diffusivity D is generally an expone...
ver más
|
|
|
|
|
|
|
|
|
|
|
Christos Tzimopoulos, Nikiforos Samarinas, Kyriakos Papadopoulos and Christos Evangelides
Very well-drained lands could have a positive impact in various soil health indicators such as soil erosion and soil texture. A drainage system is responsible for properly aerated soil. Until today, in order to design a drainage system, a big challenge r...
ver más
|
|
|
|
|
|