The second boundary value problem for a discrete Monge-Ampère equation
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Publication:6077290
DOI10.1007/s10915-023-02340-0zbMath1526.65050arXiv1910.14376OpenAlexW3123330506MaRDI QIDQ6077290
Publication date: 17 October 2023
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.14376
Computational aspects related to convexity (52B55) Finite difference methods for boundary value problems involving PDEs (65N06) Geometric optics (78A05) Monge-Ampère equations (35J96)
Cites Work
- Variational principles for Minkowski type problems, discrete optimal transport, and discrete Monge-Ampère equations
- Numerical solution of the optimal transportation problem using the Monge-Ampère equation
- The Minkowski problem for polytopes
- Extremal structure of convex sets
- Number theory. An introduction to mathematics
- Viscosity solutions of fully nonlinear second-order elliptic partial differential equations
- 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
- Minkowski-type theorems and least-squares clustering
- Pointwise rates of convergence for the Oliker-Prussner method for the Monge-Ampère equation
- Minkowski problems for complete noncompact convex hypersurfaces
- On the weak convergence of Monge-Ampère measures for discrete convex mesh functions
- Convergence of a Newton algorithm for semi-discrete optimal transport
- A Numerical Method for the Elliptic Monge--Ampère Equation with Transport Boundary Conditions
- The Monge–Ampère equation
- Discretization of the 3d monge−ampere operator, between wide stencils and power diagrams
- A Least-Squares Method for Optimal Transport Using the Monge--Ampère Equation
- The Regularity of Mappings with a Convex Potential
- Convergence Framework for the Second Boundary Value Problem for the Monge--Ampère Equation
- Monotone discretization of the Monge–Ampère equation of optimal transport
- Quantitative stability and error estimates for optimal transport plans
- A note on the Monge–Ampère type equations with general source terms
- Computational Nonimaging Geometric Optics: Monge-Ampère
- Minimal convex extensions and finite difference discretisation of the quadratic Monge–Kantorovich problem
- Optimal Transport via a Monge--Ampère Optimization Problem
- Convex Bodies The Brunn-MinkowskiTheory
- Discrete Aleksandrov solutions of the Monge-Ampere equation
- Convex analysis and monotone operator theory in Hilbert spaces
- Notions of convexity
- Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
- The Monge-Ampère equation
- A Convergent Quadrature-Based Method for the Monge–Ampère Equation
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