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An efficient approach for the numerical solution of the Monge–Ampère equation

✍ Scribed by Mohamed M. Sulman; J.F. Williams; Robert D. Russell


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
451 KB
Volume
61
Category
Article
ISSN
0168-9274

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The Monge–Ampère equation: Various forms
✍ V. Zheligovsky; O. Podvigina; U. Frisch 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 629 KB

We present three novel forms of the Monge-Ampère equation, which is used, e.g., in image processing and in reconstruction of mass transportation in the primordial Universe. The central role in this paper is played by our Fourier integral form, for which we establish positivity and sharp bound proper