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Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich pr...

Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich pr...

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_01616842v3

Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem

About this item

Full title

Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem

Publisher

Cambridge University Press (CUP)

Journal title

European journal of applied mathematics, 2019

Language

English

Formats

Publication information

Publisher

Cambridge University Press (CUP)

Subjects

More information

Scope and Contents

Contents

We present an adaptation of the MA-LBR scheme to the Monge-Ampère equation with second boundary value condition, provided the target is a convex set. This yields a fast adaptive method to numerically solve the Optimal Transport problem between two absolutely continuous measures, the second of which has convex support. The proposed numerical method...

Alternative Titles

Full title

Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_hal_primary_oai_HAL_hal_01616842v3

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_hal_primary_oai_HAL_hal_01616842v3

Other Identifiers

ISSN

0956-7925

E-ISSN

1469-4425

DOI

10.1017/S0956792518000451

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