Results 41 to 50 of about 381,247 (286)

Lie group stability of finite difference schemes [PDF]

open access: yes, 2007
Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, which are not generally preserved by a finite difference approximation, and ...
David, Claire   +3 more
core   +2 more sources

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

Exact Finite-Difference Schemes for d-Dimensional Linear Stochastic Systems with Constant Coefficients

open access: yesJournal of Applied Mathematics, 2013
The authors attempt to construct the exact finite-difference schemes for linear stochastic differential equations with constant coefficients. The explicit solutions to Itô and Stratonovich linear stochastic differential equations with constant ...
Peng Jiang   +3 more
doaj   +1 more source

Construction of Compact Finite Difference Schemes by Classic Differential Quadrature

open access: yesApplied Sciences, 2017
Using classic differential quadrature formulae and uniform grids, this paper systematically constructs a variety of high-order finite difference schemes, and some of these schemes are consistent with the so-called boundary value methods.
Fangzong Wang, Mingshuai Pan, Yong Wang
doaj   +1 more source

On Meshfree GFDM Solvers for the Incompressible Navier-Stokes Equations

open access: yes, 2017
Meshfree solution schemes for the incompressible Navier--Stokes equations are usually based on algorithms commonly used in finite volume methods, such as projection methods, SIMPLE and PISO algorithms.
Kuhnert, Joerg   +2 more
core   +1 more source

High-order conservative finite difference GLM-MHD schemes for cell-centered MHD [PDF]

open access: yes, 2010
We present and compare third- as well as fifth-order accurate finite difference schemes for the numerical solution of the compressible ideal MHD equations in multiple spatial dimensions.
Bodo, G., Mignone, A., Tzeferacos, P.
core   +2 more sources

Bistable Mechanisms 3D Printing for Mechanically Programmable Vibration Control

open access: yesAdvanced Engineering Materials, EarlyView.
This work introduces a 3D‐printed bistable mechanism integrated into tuned mass dampers (TMDs) for mechanically adaptive passive vibration suppression. Through optimized geometry, the bistable design provides adaptable vibration reduction across a broad range of scenarios, achieving effective vibration mitigation without complex controls or external ...
Ali Zolfagharian   +4 more
wiley   +1 more source

High-Order, Accurate Finite Difference Schemes for Fourth-Order Differential Equations

open access: yesAxioms
This article is devoted to the study of high-order, accurate difference schemes’ numerical solutions of local and non-local problems for ordinary differential equations of the fourth order. Local and non-local problems for ordinary differential equations
Allaberen Ashyralyev   +1 more
doaj   +1 more source

Two Conservative Difference Schemes for Rosenau-Kawahara Equation

open access: yesAdvances in Mathematical Physics, 2014
Two conservative finite difference schemes for the numerical solution of the initialboundary value problem of Rosenau-Kawahara equation are proposed. The difference schemes simulate two conservative quantities of the problem well.
Jinsong Hu   +3 more
doaj   +1 more source

Accelerated finite difference schemes for stochastic partial differential equations in the whole space [PDF]

open access: yes, 2010
We give sufficient conditions under which the convergence of finite difference approximations in the space variable of the solution to the Cauchy problem for linear stochastic PDEs of parabolic type can be accelerated to any given order of convergence by
Gyongy, Istvan, Krylov, Nicolai
core   +2 more sources

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