A Robust Numerical Method to Study Oscillatory Instability of Gap Solitary Waves. - Gianne Derks; Georg A. Gottwald (SIAM J. Appl. Dyn. Syst., 2005)

Long-Time Accuracy for Approximate Slow Manifolds in a Finite-Dimensional Model of Balance. - Georg A. Gottwald; Marcel Oliver; Nicolae Tecu (J. Nonlinear Sci., 2007)

Application of the 0-1 Test for Chaos to Experimental Data. - Ian Falconer; Georg A. Gottwald; Ian Melbourne; Kjetil Wormnes (SIAM J. Appl. Dyn. Syst., 2007)

High Lewis Number Combustion Wavefronts: A Perturbative Melnikov Analysis. - Sanjeeva Balasuriya; Georg A. Gottwald; John Hornibrook; Stéphane Lafortune (SIAM J. Appl. Math., 2007)

On the Implementation of the 0-1 Test for Chaos. - Georg A. Gottwald; Ian Melbourne (SIAM J. Appl. Dyn. Syst., 2009)

Boltzmann's Dilemma: An Introduction to Statistical Mechanics via the Kac Ring. - Georg A. Gottwald; Marcel Oliver (SIAM Rev., 2009)

The Large Core Limit of Spiral Waves in Excitable Media: A Numerical Approach. - Sebastian Hermann; Georg A. Gottwald (SIAM J. Appl. Dyn. Syst., 2010)

A Computational Method to Extract Macroscopic Variables and Their Dynamics in Multiscale Systems. - Gary Froyland; Georg A. Gottwald; Andy Hammerlindl (SIAM J. Appl. Dyn. Syst., 2014)

On convergence of higher order schemes for the projective integration method for stiff ordinary differential equations. - John Maclean; Georg A. Gottwald (J. Comput. Appl. Math., 2015)

Optimal Balance via Adiabatic Invariance of Approximate Slow Manifolds. - Georg A. Gottwald; Haidar Mohamad; Marcel Oliver (Multiscale Model. Simul., 2017)

A Note on Statistical Consistency of Numerical Integrators for Multiscale Dynamics. - Jason Frank; Georg A. Gottwald (Multiscale Model. Simul., 2018)

Stochastic Model Reduction for Slow-Fast Systems with Moderate Time Scale Separation. - Jeroen Wouters; Georg A. Gottwald (Multiscale Model. Simul., 2019)

Simulation of non-Lipschitz stochastic differential equations driven by α-stable noise: a method based on deterministic homogenisation. - Georg A. Gottwald; Ian Melbourne (CoRR, 2020)

Supervised learning from noisy observations: Combining machine-learning techniques with data assimilation. - Georg A. Gottwald; Sebastian Reich (CoRR, 2020)

Combining machine learning and data assimilation to forecast dynamical systems from noisy partial observations. - Georg A. Gottwald; Sebastian Reich (CoRR, 2021)

Simulation of Non-Lipschitz Stochastic Differential Equations Driven by α-Stable Noise: A Method Based on Deterministic Homogenization. - Georg A. Gottwald; Ian Melbourne (Multiscale Model. Simul., 2021)

Stable generative modeling using diffusion maps. - Georg A. Gottwald; Fengyi Li; Youssef M. Marzouk; Sebastian Reich (CoRR, 2024)

On the choice of the non-trainable internal weights in random feature maps. - Pinak Mandal; Georg A. Gottwald (CoRR, 2024)

Localized Schrödinger Bridge Sampler. - Georg A. Gottwald; Sebastian Reich (CoRR, 2024)

Learning dynamical systems with hit-and-run random feature maps. - Pinak Mandal; Georg A. Gottwald (CoRR, 2025)

Localized Diffusion Models for High Dimensional Distributions Generation. - Georg A. Gottwald; Shuigen Liu; Youssef Marzouk 001; Sebastian Reich; Xin T. Tong (CoRR, 2025)

Dynamic Reservoir Computing with Physical Neuromorphic Networks. - Yinhao Xu; Georg A. Gottwald; Zdenka Kuncic (CoRR, 2025)

UNO: Unlearning via Orthogonalization in Generative models. - Pinak Mandal; Georg A. Gottwald (CoRR, 2025)

Learning Chaotic Dynamics with Neuromorphic Network Dynamics. - Yinhao Xu; Georg A. Gottwald; Zdenka Kuncic (CoRR, 2025)