Results 21 to 30 of about 610,785 (114)
Spatially Inhomogeneous Evolutionary Games
Communications on Pure and Applied Mathematics, Volume 74, Issue 7, Page 1353-1402, July 2021., 2021 Abstract We introduce and study a mean‐field model for a system of spatially distributed players interacting through an evolutionary game driven by a replicator dynamics. Strategies evolve by a replicator dynamics influenced by the position and the interaction between different players and return a feedback on the velocity field guiding their motion ...
Luigi Ambrosio +3 more
wiley +1 more source
Consistent Inversion of Noisy Non‐Abelian X‐Ray Transforms
Communications on Pure and Applied Mathematics, Volume 74, Issue 5, Page 1045-1099, May 2021., 2021 Abstract For M a simple surface, the nonlinear statistical inverse problem of recovering a matrix field from discrete, noisy measurements of the SO(n)‐valued scattering data CΦ of a solution of a matrix ODE is considered (n ≥ 2). Injectivity of the map Φ ↦ CΦ was established by Paternain, Salo, and Uhlmann in 2012.
François Monard +2 more
wiley +1 more source
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
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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
Extended convergence results for the Newton-Kantorovich iteration
, 2015 We present new semilocal and local convergence results for the Newton-Kantorovich method. These new results extend the applicability of the Newton-Kantorovich method on approximate zeros by improving the convergence domain and ratio given in earlier ...
Argyros, Ioannis K. +1 more
core +2 more sources
Semilocal analysis of equations with smooth operators
International Journal of Mathematics and Mathematical Sciences, 1981 Recent work on semilocal analysis of nonlinear operator equations is informally reviewed. A refined version of the Kantorovich theorem for Newton's method, with new error bounds, is presented. Related topics are briefly surveyed.
George J. Miel
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On Nonlinear Vekua Type Equations
Nonlinear Analysis, 2006 Nonlinear Vekua-Bers type differential equations are studied on the base of certain methods of nonlinear analysis. A survey of recent results in the area is presented.
S. V. Rogosin
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Extending the Newton–Kantorovich hypothesis for solving equations [PDF]
, 2010 The famous Newton–Kantorovich hypothesis (Kantorovich and Akilov, 1982 [3], Argyros, 2007 [2], Argyros and Hilout, 2009 [7]) has been used for a long time as a sufficient condition for the convergence of Newton’s method to a solution of an equation in ...
Argyros, Ioannis K., Hilout, Saïd
core +1 more source