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Multigrid methods for fractional diffusion equations

Trotti, Ken ; Krause, Rolf (Dir.) ; Donatelli, Marco (Codir.)

Thèse de doctorat : Università della Svizzera italiana, 2021 ; 2021INFO013.

Recent years have seen the rapid growth in interest towards fractional calculus. Fractional calculus plays an important role in modelling anomalous diffusion phenomena, however closed-form analytical solutions of such equations are rarely available, hence numerical estimates are needed. In this thesis we consider various fractional diffusion equations (FDEs), where different fractional ...

Finite Higher Spin Transformations from Exponentiation

Monnier, Samuel

In: Communications in Mathematical Physics, 2015, vol. 336, no. 1, p. 1-26

Multilevel Monte Carlo for the Feynman-Kac formula for the Laplace equation

Pauli, Stefan ; Gantner, Robert ; Arbenz, Peter ; Adelmann, Andreas

In: BIT Numerical Mathematics, 2015, vol. 55, no. 4, p. 1125-1143

A Milstein Scheme for SPDEs

Jentzen, Arnulf ; Röckner, Michael

In: Foundations of Computational Mathematics, 2015, vol. 15, no. 2, p. 313-362

Comparison of approximate shape gradients

Hiptmair, R. ; Paganini, A. ; Sargheini, S.

In: BIT Numerical Mathematics, 2015, vol. 55, no. 2, p. 459-485

Numerical shape optimization as an approach to reduce material waste in injection molding

Studer, Mario ; Ehrig, Frank

In: The International Journal of Advanced Manufacturing Technology, 2015, vol. 78, no. 9-12, p. 1557-1571

Revisiting ( k , ℓ )-step methods

Gutknecht, Martin

In: Numerical Algorithms, 2015, vol. 69, no. 2, p. 455-469

Track-event theory of cell survival with second-order repair

Besserer, Jürgen ; Schneider, Uwe

In: Radiation and Environmental Biophysics, 2015, vol. 54, no. 2, p. 167-174

A posteriori estimates for a coupled piezoelectric model

Langer, Ulrich ; Repin, Sergey ; Samrowski, Tatiana

In: Russian Journal of Numerical Analysis and Mathematical Modelling, 2017, vol. 32, no. 4, p. 259-266

Equal Order Discontinuous Finite Volume Element Methods for the Stokes Problem

Kumar, Sarvesh ; Ruiz-Baier, Ricardo

In: Journal of Scientific Computing, 2015, vol. 65, no. 3, p. 956-978