Fourier spectral and wavelet solvers for the incompressible Navier-Stokes equations with volume-penalization: Convergence of a dipole-wall collision. - Geert H. Keetels; Umberto D'Ortona; Werner Kramer; H. J. H. Clercx; Kai Schneider; G. J. F. van Heijst (J. Comput. Phys., 2007)

An adaptive multiresolution scheme with local time stepping for evolutionary PDEs. - Margarete O. Domingues; Sônia M. Gomes; Olivier Roussel; Kai Schneider (J. Comput. Phys., 2008)

A Fourier spectral method for the Navier-Stokes equations with volume penalization for moving solid obstacles. - Dmitry Kolomenskiy; Kai Schneider (J. Comput. Phys., 2009)

Coherent Vortex Simulation of weakly compressible turbulent mixing layers using adaptive multiresolution methods. - Olivier Roussel; Kai Schneider (J. Comput. Phys., 2010)

Wavelet-based density estimation for noise reduction in plasma simulations using particles. - Romain Nguyen van yen; Diego del-Castillo-Negrete; Kai Schneider; Marie Farge; Guangye Chen (J. Comput. Phys., 2010)

Adaptive Multiresolution Methods for the Simulation of Waves in Excitable Media. - Raimund Bürger; Ricardo Ruiz-Baier; Kai Schneider (J. Sci. Comput., 2010)

A pseudo-spectral method with volume penalisation for magnetohydrodynamic turbulence in confined domains. - Kai Schneider; Salah Neffaa; Wouter J. T. Bos (Comput. Phys. Commun., 2011)

Coherent Vorticity Simulation of Three-Dimensional Forced Homogeneous Isotropic Turbulence. - Naoya Okamoto; Katsunori Yoshimatsu; Kai Schneider; Marie Farge; Yukio Kaneda (Multiscale Model. Simul., 2011)

A volume penalization method for incompressible flows and scalar advection-diffusion with moving obstacles. - Benjamin Kadoch; Dmitry Kolomenskiy; Philippe Angot; Kai Schneider (J. Comput. Phys., 2012)

Simulation of confined magnetohydrodynamic flows with Dirichlet boundary conditions using a pseudo-spectral method with volume penalization. - Jorge A. Morales; Matthieu Leroy; Wouter J. T. Bos; Kai Schneider (J. Comput. Phys., 2014)

Approximation of the Laplace and Stokes operators with Dirichlet boundary conditions through volume penalization: a spectral viewpoint. - Romain Nguyen van yen; Dmitry Kolomenskiy; Kai Schneider (Numerische Mathematik, 2014)

Numerical simulation of fluid-structure interaction with the volume penalization method. - Thomas Engels; Dmitry Kolomenskiy; Kai Schneider; Jörn Sesterhenn (J. Comput. Phys., 2015)

Adaptive Gradient-Augmented Level Set Method with Multiresolution Error Estimation. - Dmitry Kolomenskiy; Jean-Christophe Nave; Kai Schneider (J. Sci. Comput., 2016)

Comparison of Adaptive Multiresolution and Adaptive Mesh Refinement Applied to Simulations of the Compressible Euler Equations. - Ralf Deiterding; Margarete O. Domingues; Sônia M. Gomes; Kai Schneider (SIAM J. Sci. Comput., 2016)

FluSI: A Novel Parallel Simulation Tool for Flapping Insect Flight Using a Fourier Method with Volume Penalization. - Thomas Engels; Dmitry Kolomenskiy; Kai Schneider; Jörn Sesterhenn (SIAM J. Sci. Comput., 2016)

A 3D wavelet-based incompressible Navier-Stokes solver for fully adaptive computations in time-varying geometries. - Thomas Engels; Kai Schneider; Julius Reiss; Marie Farge (CoRR, 2019)

Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods. - Müller Moreira Lopes; Margarete O. Domingues; Kai Schneider; Odim Mendes (J. Comput. Phys., 2019)

Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry. - Teluo Sakurai; Katsunori Yoshimatsu; Naoya Okamoto; Kai Schneider (J. Comput. Phys., 2019)

Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. - Anna Karina Fontes Gomes; Margarete Oliveira Domingues; Odim Mendes; Kai Schneider (Adv. Comput. Math., 2021)

Corrigendum to "Volume penalization for inhomogeneous Neumann boundary conditions modeling scalar flux in complicated geometry" [J. Comput. Phys. 390 (2019) 452-469]. - Teluo Sakurai; Katsunori Yoshimatsu; Naoya Okamoto; Kai Schneider (J. Comput. Phys., 2021)

A Characteristic Mapping method for the two-dimensional incompressible Euler equations. - Xi-Yuan Yin; Olivier Mercier; Badal Yadav; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2021)

Wavelet adaptive proper orthogonal decomposition for large-scale flow data. - Philipp Krah; Thomas Engels; Kai Schneider; Julius Reiss (Adv. Comput. Math., 2022)

An experimental data-driven mass-spring model of flexible Calliphora wings. - Hung Truong; Thomas Engels; Henja Wehmann; Dmitry Kolomenskiy; Fritz-Olaf Lehmann; Kai Schneider (CoRR, 2022)

Adaptive Solution of Initial Value Problems by a Dynamical Galerkin Scheme. - Rodrigo M. Pereira; Natacha Nguyen Van Yen; Kai Schneider; Marie Farge (Multiscale Model. Simul., 2022)

A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties. - Philipp Krah; Xi-Yuan Yin; Julius Bergmann; Jean-Christophe Nave; Kai Schneider (CoRR, 2023)

A Characteristic Mapping Method for the three-dimensional incompressible Euler equations. - Xi-Yuan Yin; Kai Schneider; Jean-Christophe Nave (J. Comput. Phys., 2023)

Are Adaptive Galerkin Schemes Dissipative? - Rodrigo M. Pereira; Natacha Nguyen Van Yen; Kai Schneider; Marie Farge (SIAM Rev., 2023)

Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method. - Julius Bergmann; Thibault Maurel-Oujia; Xi-Yuan Yin; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)

Automated transport separation using the neural shifted proper orthogonal decomposition. - Beata Zorawski; Shubhaditya Burela; Philipp Krah; Arthur Marmin; Kai Schneider (CoRR, 2024)

A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics. - Xi-Yuan Yin; Philipp Krah; Jean-Christophe Nave; Kai Schneider (CoRR, 2024)

Computing differential operators of the particle velocity in moving particle clouds using tessellations. - Thibault Maurel-Oujia; Keigo Matsuda; Kai Schneider (J. Comput. Phys., 2024)

A Robust Shifted Proper Orthogonal Decomposition: Proximal Methods for Decomposing Flows with Multiple Transports. - Philipp Krah; Arthur Marmin; Beata Zorawski; Julius Reiss; Kai Schneider (SIAM J. Sci. Comput., 2025)