Results 21 to 30 of about 1,893 (124)
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
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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
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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
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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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A new form of the kantorovich theorem for newton’s method [PDF]
, 2013 Una nueva forma de convergencia de tipo Kantorovich para el me´todo de Newton es establecido para aproximarse localmente a una solución única de la ecuación F (x) = 0 definido sobre un espacio de Banach.
Paredes Soria, Leopoldo +1 more
core +2 more sources
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
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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Identification and estimation of continuous‐time dynamic discrete choice games
Quantitative Economics, Volume 17, Issue 1, Page 254-296, January 2026.This paper considers the theoretical, computational, and econometric properties of continuous‐time dynamic discrete choice games with stochastically sequential moves, introduced by Arcidiacono, Bayer, Blevins, and Ellickson (2016). We consider identification of the rate of move arrivals, which was assumed to be known in previous work, as well as a ...
Jason R. Blevins
wiley +1 more source