Results 11 to 20 of about 1,963 (90)
Lippmann‐Schwinger solvers for the computational homogenization of materials with pores
International Journal for Numerical Methods in Engineering, Volume 121, Issue 22, Page 5017-5041, 30 November 2020., 2020 Summary We show that under suitable hypotheses on the nonporous material law and a geometric regularity condition on the pore space, Moulinec‐Suquet's basic solution scheme converges linearly. We also discuss for which derived solvers a (super)linear convergence behavior may be obtained, and for which such results do not hold, in general.
Matti Schneider
wiley +1 more source
A New Class of Difference Methods with Intrinsic Parallelism for Burgers–Fisher Equation
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper proposes a new class of difference methods with intrinsic parallelism for solving the Burgers–Fisher equation. A new class of parallel difference schemes of pure alternating segment explicit‐implicit (PASE‐I) and pure alternating segment implicit‐explicit (PASI‐E) are constructed by taking simple classical explicit and implicit schemes ...
Yueyue Pan +3 more
wiley +1 more source
Verified Error Bounds for Real Eigenvalues of Real Symmetric and Persymmetric Matrices
Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020 This paper mainly investigates the verification of real eigenvalues of the real symmetric and persymmetric matrices. For a real symmetric or persymmetric matrix, we use eig code in Matlab to obtain its real eigenvalues on the basis of numerical computation and provide an algorithm to compute verified error bound such that there exists a perturbation ...
Zhe Li, Xueqing Wang, Roberto Fedele
wiley +1 more source
Abstract and Applied Analysis, 2013 Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin +4 more
doaj +1 more source
PROJECTION-ITERATION REALIZATION OF A NEWTON-LIKE METHOD FOR SOLVING NONLINEAR OPERATOR EQUATIONS
Journal of Optimization, Differential Equations and Their Applications, 2019 We consider the problem of existence and location of a solution of a nonlinear operator equation with a Fr´echet differentiable operator in a Banach space and present the convergence results for a projection-iteration method based on a Newton-like method
Liudmyla L. Hart
doaj +1 more source
Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem [PDF]
, 2018 We present an adaptation of the MA-LBR scheme to the Monge-Amp{\`e}re equation with second boundary value condition, provided the target is a convex set.
Benamou, Jean-David, Duval, Vincent
core +5 more sources
Wireless Communication using Unmanned Aerial Vehicles (UAVs): Optimal Transport Theory for Hover Time Optimization [PDF]
, 2017 In this paper, the effective use of flight-time constrained unmanned aerial vehicles (UAVs) as flying base stations that can provide wireless service to ground users is investigated. In particular, a novel framework for optimizing the performance of such
Bennis, Mehdi +3 more
core +4 more sources
Finding good starting points for solving equations by Newton's method
Journal of Numerical Analysis and Approximation Theory, 2009 We study the problem of finding good starting points for the semilocal convergence of Newton's method to a locally unique solution of an operator equation in a Banach space setting.
Ioannis K. Argyros
doaj +2 more sources
Semilocal Convergence Analysis for Inexact Newton Method under Weak Condition
Abstract and Applied Analysis, 2012 Under the hypothesis that the first derivative satisfies some kind of weak Lipschitz conditions, a new semilocal convergence theorem for inexact Newton method is presented.
Xiubin Xu, Yuan Xiao, Tao Liu
doaj +1 more source
Discretization of Poincaré map
Electronic Journal of Qualitative Theory of Differential Equations, 2013 We analytically study the relationship between the Poincaré map and its one step discretization. Error estimates are established depending basically on the right hand side function of the investigated ODE and the given numerical scheme. Our basic tool is
Michal Fečkan, S. Kelemen
doaj +1 more source