Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows

DOI10.1137/18M1190628zbMath1403.49029arXiv1804.08104OpenAlexW2804464523WikidataQ115246929 ScholiaQ115246929MaRDI QIDQ4558232

Elena Celledoni, Brynjulf Owren, Sølve Eidnes, Torbjørn Ringholm

Publication date: 21 November 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.08104

zbMATH Keywords

Riemannian manifoldsgeometric integrationnumerical optimizationdiscrete gradientsDTI denoisingInSAR denoising

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10) Numerical methods based on nonlinear programming (49M37) Biomedical imaging and signal processing (92C55) Local differential geometry (53B99)

Related Items (8)

B-stability of numerical integrators on Riemannian manifolds ⋮ Bregman Itoh-Abe methods for sparse optimisation ⋮ Numerical algorithms for spline interpolation on space of probability density functions ⋮ Linear gradient structures and discrete gradient methods for conservative/dissipative differential-algebraic equations ⋮ Energy-preserving methods on Riemannian manifolds ⋮ On the energy stable approximation of Hamiltonian and gradient systems ⋮ Structure preserving approximation of dissipative evolution problems ⋮ A geometric integration approach to nonsmooth, nonconvex optimisation

Uses Software

• HLLE
• Camino

Cites Work

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