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Discrete Aleksandrov solutions of the Monge-Ampere equation - MaRDI portal

Discrete Aleksandrov solutions of the Monge-Ampere equation (Q5866538)

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scientific article; zbMATH DE number 7589886

Language	Label	Description	Also known as
English	Discrete Aleksandrov solutions of the Monge-Ampere equation	scientific article; zbMATH DE number 7589886

Statements

scholarly article

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publication date

22 September 2022

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full work available at URL

https://arxiv.org/abs/1408.1729

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https://ejde.math.txstate.edu/conf-proc/26/a2/abstr.html

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zbMATH Keywords

discrete Monge-Ampère

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Aleksandrov solution

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weak convergence of measures

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MaRDI profile type

MaRDI publication profile

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arXiv classification

math.NA

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cs.NA

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Computing Volumes of Polyhedra

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On the weak convergence of Monge-Ampère measures for discrete convex mesh functions

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Convergence of finite difference schemes to the Aleksandrov solution of the Monge-Ampère equation

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Monotone and consistent discretization of the Monge-Ampère operator

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Uniformity in weak convergence

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Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations

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Convergent Semi-Lagrangian Methods for the Monge--Ampère Equation on Unstructured Grids

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The Monge-Ampère equation

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Viscosity solutions of fully nonlinear second-order elliptic partial differential equations

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A note on the discrete Aleksandrov-Bakelman maximum principle

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Weak convergence of a random walk in a random environment

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Two remarks on Monge-Ampère equations

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Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams

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Numerical analysis of strongly nonlinear PDEs

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The Monge–Ampère equation

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Two-scale method for the Monge-Ampère equation: Convergence to the viscosity solution

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Discrete ABP estimate and convergence rates for linear elliptic equations in non-divergence form

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Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation

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On the numerical solution of the equation \(\frac{\partial ^ 2z\partial ^ 2z}{\partial x^ 2\partial y^ 2}-(\frac{\partial ^ 2z}{\partial x\partial y})^ 2=f\) and its discretizations. I

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Convex Bodies The Brunn-MinkowskiTheory

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On Monge-Ampère type equations arising in optimal transportation problems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5866538

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