| Publication | Date of Publication | Type |
|---|
| A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms | 2024-03-12 | Paper |
| Physics-agnostic and physics-infused machine learning for thin films flows: modelling, and predictions from small data | 2023-12-11 | Paper |
| Micro-Macro Consistency in Multiscale Modeling: Score-Based Model Assisted Sampling of Fast/Slow Dynamical Systems | 2023-12-09 | Paper |
| Machine Learning for the identification of phase-transitions in interacting agent-based systems | 2023-10-29 | Paper |
| Nonlinear dimensionality reduction then and now: AIMs for dissipative PDEs in the ML era | 2023-10-24 | Paper |
| GANs and Closures: Micro-Macro Consistency in Multiscale Modeling | 2023-10-20 | Paper |
| Learning Parametric Koopman Decompositions for Prediction and Control | 2023-10-02 | Paper |
| Locating saddle points using gradient extremals on manifolds adaptively revealed as point clouds | 2023-09-28 | Paper |
| Discrete-time nonlinear feedback linearization via physics-informed machine learning | 2023-09-27 | Paper |
| Learning dynamical systems from data: a simple cross-validation perspective. IV: Case with partial observations | 2023-09-12 | Paper |
| Learning black- and gray-box chemotactic PDEs/closures from agent based Monte Carlo simulation data | 2023-07-04 | Paper |
| Double diffusion maps and their latent harmonics for scientific computations in latent space | 2023-05-31 | Paper |
| Staying the course: iteratively locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds | 2023-04-11 | Paper |
| Implementation and (Inverse Modified) Error Analysis for implicitly-templated ODE-nets | 2023-03-31 | Paper |
| Data-driven control of agent-based models: an equation/variable-free machine learning approach | 2023-03-07 | Paper |
| Gentlest ascent dynamics on manifolds defined by adaptively sampled point-clouds | 2023-02-08 | Paper |
| From partial data to out-of-sample parameter and observation estimation with Diffusion Maps and Geometric Harmonics | 2023-01-27 | Paper |
| Accurate and efficient multiscale simulation of a heterogeneous elastic beam via computation on small sparse patches | 2023-01-20 | Paper |
| A note on the control of processes exhibiting input multiplicity | 2022-10-04 | Paper |
| Adaptively Detect and Accurately Resolve Macro-scale Shocks in an Efficient Equation-Free Multiscale Simulation | 2022-08-25 | Paper |
| Personalized Algorithm Generation: A Case Study in Learning ODE Integrators | 2022-07-13 | Paper |
| Data-driven Control of Agent-based Models: an Equation/Variable-free Machine Learning Approach | 2022-07-12 | Paper |
| Numerical bifurcation analysis of PDEs from lattice Boltzmann model simulations: a parsimonious machine learning approach | 2022-06-29 | Paper |
| Learning Effective SDEs from Brownian Dynamics Simulations of Colloidal Particles | 2022-04-30 | Paper |
| Questionnaires to PDEs: From Disorganized Data to Emergent Generative Dynamic Models | 2022-04-25 | Paper |
| Staying the course: Locating equilibria of dynamical systems on Riemannian manifolds defined by point-clouds | 2022-04-21 | Paper |
| Spectral Discovery of Jointly Smooth Features for Multimodal Data | 2022-04-14 | Paper |
| Equation-free patch scheme for efficient computational homogenisation via self-adjoint coupling | 2021-12-01 | Paper |
| Time Series Forecasting Using Manifold Learning | 2021-10-07 | Paper |
| Manifold learning for parameter reduction | 2021-01-26 | Paper |
| Transport Map Accelerated Adaptive Importance Sampling, and Application to Inverse Problems Arising from Multiscale Stochastic Reaction Networks | 2020-12-08 | Paper |
| Heterogeneous animal group models and their group-level alignment dynamics: an equation-free approach | 2020-11-05 | Paper |
| A Geometric Approach to the Transport of Discontinuous Densities | 2020-08-31 | Paper |
| Manifold learning for accelerating coarse-grained optimization | 2020-08-26 | Paper |
| Linking Machine Learning with Multiscale Numerics: Data-Driven Discovery of Homogenized Equations | 2020-08-24 | Paper |
| Manifold learning for organizing unstructured sets of process observations | 2020-08-04 | Paper |
| On the Koopman Operator of Algorithms | 2020-05-11 | Paper |
| A multiscale scheme accurately simulates macroscale shocks in an equation-free framework | 2020-02-26 | Paper |
| Partial observations and conservation laws: Grey-box modeling in biotechnology and optogenetics | 2019-09-09 | Paper |
| Designing networks with resiliency to edge failures using two-stage robust optimization | 2019-07-25 | Paper |
| Good coupling for the multiscale patch scheme on systems with microscale heterogeneity | 2019-06-24 | Paper |
| Multiscale analysis of collective motion and decision-making in swarms: an advection-diffusion equation with memory approach | 2019-02-12 | Paper |
| Reconstruction of normal forms by learning informed observation geometries from data | 2019-01-11 | Paper |
| Bifurcations of lurching waves in a thalamic neuronal network | 2018-12-07 | Paper |
| Some manifold learning considerations towards explicit model predictive control | 2018-12-03 | Paper |
| On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions | 2018-10-04 | Paper |
| Optimal deterministic algorithm generation | 2018-08-29 | Paper |
| Data-driven model reduction and transfer operator approximation | 2018-07-20 | Paper |
| On the sighting of unicorns: A variational approach to computing invariant sets in dynamical systems | 2018-05-30 | Paper |
| Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator | 2018-05-30 | Paper |
| Projective integration of expensive stochastic processes | 2018-05-08 | Paper |
| Parsimonious representation of nonlinear dynamical systems through manifold learning: a chemotaxis case study | 2018-04-12 | Paper |
| Extended dynamic mode decomposition with dictionary learning: a data-driven adaptive spectral decomposition of the Koopman operator | 2017-07-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2960811 | 2017-02-17 | Paper |
| A kernel-based method for data-driven Koopman spectral analysis | 2016-09-30 | Paper |
| To Infinity and Beyond: Some ODE and PDE Case Studies | 2016-09-27 | Paper |
| Equation-free analysis of spike-timing-dependent plasticity | 2016-09-08 | Paper |
| Data-Driven Reduction for a Class of Multiscale Fast-Slow Stochastic Dynamical Systems | 2016-08-17 | Paper |
| Accuracy of Patch Dynamics with Mesoscale Temporal Coupling for Efficient Massively Parallel Simulations | 2016-07-07 | Paper |
| Noisy dynamic simulations in the presence of symmetry: data alignment and model reduction | 2016-07-06 | Paper |
| Experimental Study of Nonlinear Resonances and Anti-resonances in a Forced, Ordered Granular Chain | 2016-06-29 | Paper |
| Coarse graining, dynamic renormalization and the kinetic theory of shock clustering | 2016-05-25 | Paper |
| Simple urban simulation atop complicated models: multi-scale equation-free computing of sprawl using geographic automata | 2016-05-10 | Paper |
| Coarse-grained clustering dynamics of heterogeneously coupled neurons | 2016-04-07 | Paper |
| Chimeras in random non-complete networks of phase oscillators | 2016-03-04 | Paper |
| Kinetic Monte Carlo simulations of travelling pulses and spiral waves in the lattice Lotka-Volterra model | 2016-03-04 | Paper |
| A data-driven approximation of the koopman operator: extending dynamic mode decomposition | 2015-12-17 | Paper |
| Equation-free Model Reduction in Agent-based Computations: Coarse-grained Bifurcation and Variable-free Rare Event Analysis | 2015-11-06 | Paper |
| On the acceleration of spatially distributed agent-based computations: a patch dynamics scheme | 2015-08-26 | Paper |
| The computation of convex invariant sets via Newton's method | 2015-01-06 | Paper |
| An equation-free approach to coarse-graining the dynamics of networks | 2015-01-06 | Paper |
| Data Fusion via Intrinsic Dynamic Variables: An Application of Data-Driven Koopman Spectral Analysis | 2014-11-19 | Paper |
| A Kernel-Based Approach to Data-Driven Koopman Spectral Analysis | 2014-11-09 | Paper |
| Time varying radial basis functions | 2014-08-05 | Paper |
| Managing heterogeneity in the study of neural oscillator dynamics | 2014-07-14 | Paper |
| Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach | 2014-01-22 | Paper |
| Better buffers for patches in macroscale simulation of systems with microscale randomness | 2013-12-04 | Paper |
| Reduced models in chemical kinetics via nonlinear data-mining | 2013-07-25 | Paper |
| Continuum approach to discreteness | 2012-08-09 | Paper |
| Stability and stabilization of the constrained runs schemes for equation-free projection to a slow manifold | 2012-07-04 | Paper |
| Analysis and Computation of a Discrete KdV-Burgers Type Equation with Fast Dispersion and Slow Diffusion | 2012-02-22 | Paper |
| Equation-Free Computation: An Overview of Patch Dynamics | 2011-05-31 | Paper |
| Constraint-defined manifolds: a legacy code approach to low-dimensional computation | 2011-01-20 | Paper |
| An efficient Newton-Krylov implementation of the constrained runs scheme for initializing on a slow manifold | 2011-01-16 | Paper |
| Newton-Krylov solvers for the equation-free computation of coarse traveling waves | 2010-09-13 | Paper |
| Coarse-grained computation for particle coagulation and sintering processes by linking quadrature method of moments with Monte-Carlo | 2010-07-28 | Paper |
| Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model | 2010-07-07 | Paper |
| Computational coarse graining of a randomly forced one-dimensional Burgers equation | 2010-03-18 | Paper |
| Virtual Slow Manifolds: The Fast Stochastic Case | 2010-01-22 | Paper |
| Multiscale Integration Schemes for Jump-Diffusion Systems | 2009-10-19 | Paper |
| Diffusion Maps, Reduction Coordinates, and Low Dimensional Representation of Stochastic Systems | 2009-10-19 | Paper |
| Analysis of the accuracy and convergence of equation-free projection to a slow manifold | 2009-08-06 | Paper |
| Coarse-Grained Simulation and Bifurcation Analysis Using Microscopic Time-Steppers | 2009-03-31 | Paper |
| AN EQUATION-FREE APPROACH TO NONLINEAR CONTROL: COARSE FEEDBACK LINEARIZATION WITH POLE-PLACEMENT | 2009-02-03 | Paper |
| AN EQUATION-FREE APPROACH TO COUPLED OSCILLATOR DYNAMICS: THE KURAMOTO MODEL EXAMPLE | 2009-02-03 | Paper |
| Uncertainty Quantification for Atomistic Reaction Models: An Equation-Free Stochastic Simulation Algorithm Example | 2008-12-11 | Paper |
| Coarse analysis of collective motion with different communication mechanisms | 2008-08-27 | Paper |
| General Tooth Boundary Conditions for Equation Free Modeling | 2008-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512089 | 2008-07-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512090 | 2008-07-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512091 | 2008-07-11 | Paper |
| A COMPUTER-ASSISTED STUDY OF GLOBAL DYNAMIC TRANSITIONS FOR A NONINVERTIBLE SYSTEM | 2008-05-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5384997 | 2008-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5384998 | 2008-04-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5385006 | 2008-04-29 | Paper |
| Variance Reduction for the Equation‐Free Simulation of Multiscale Stochastic Systems | 2008-03-28 | Paper |
| Periodically-forced finite networks of heterogeneous globally-coupled oscillators: a low-di\-men\-sion\-al approach | 2008-03-14 | Paper |
| Condition Estimates for Pseudo‐Arclength Continuation | 2008-03-10 | Paper |
| Slow observables of singularly perturbed differential equations | 2008-02-26 | Paper |
| An equation-free approach to analyzing heterogeneous cell population dynamics | 2007-11-12 | Paper |
| Coarse-grained dynamics of an activity bump in a neural field model | 2007-10-22 | Paper |
| Reduced computations for nematic-liquid crystals: a timestepper approach for systems with continuous symmetries | 2007-10-09 | Paper |
| Computing in the past with forward integration | 2007-10-08 | Paper |
| The Moment Map: Nonlinear Dynamics of Density Evolution via a Few Moments | 2007-10-02 | Paper |
| Projective and coarse projective integration for problems with continuous symmetries | 2007-09-14 | Paper |
| Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme | 2007-09-07 | Paper |
| DYNAMICS OF POLYDISPERSE IRREVERSIBLE ADSORPTION: A PHARMACOLOGICAL EXAMPLE | 2007-07-18 | Paper |
| Strong convergence of projective integration schemes for singularly perturbed stochastic differential systems | 2007-06-08 | Paper |
| Template-based stabilization of relative equilibria in systems with continuous symmetry | 2007-05-31 | Paper |
| Coarse-grained numerical bifurcation analysis of lattice Boltzmann models | 2006-10-19 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5482951 | 2006-08-15 | Paper |
| Experimental study of a Neimark–Sacker bifurcation in axially forced Taylor–Couette flow | 2006-08-10 | Paper |
| Diffusion maps, spectral clustering and reaction coordinates of dynamical systems | 2006-08-04 | Paper |
| THE OSEBERG TRANSITION: VISUALIZATION OF GLOBAL BIFURCATIONS FOR THE KURAMOTO–SIVASHINSKY EQUATION | 2006-06-23 | Paper |
| An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal | 2006-04-28 | Paper |
| Patch dynamics with buffers for homogenization problems | 2006-04-28 | Paper |
| Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis | 2006-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5708137 | 2005-11-25 | Paper |
| Equation-Free Particle-Based Computations: Coarse Projective Integration and Coarse Dynamic Renormalization in 2D | 2005-11-21 | Paper |
| VORTICES IN BOSE–EINSTEIN CONDENSATES: SOME RECENT DEVELOPMENTS | 2005-11-15 | Paper |
| Equation‐free optimal switching policies for bistable reacting systems | 2005-11-15 | Paper |
| Multiscale analysis of re-entrant production lines: An equation-free approach | 2005-11-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5703086 | 2005-11-08 | Paper |
| Projecting to a Slow Manifold: Singularly Perturbed Systems and Legacy Codes | 2005-10-28 | Paper |
| The Gap-Tooth Scheme for Homogenization Problems | 2005-10-06 | Paper |
| Application of Coarse Integration to Bacterial Chemotaxis | 2005-10-06 | Paper |
| Equation-Free, Multiscale Computation for Unsteady Random Diffusion | 2005-10-06 | Paper |
| Equation-free modelling of evolving diseases: coarse-grained computations with individual-based models | 2005-07-01 | Paper |
| Equation-free/Galerkin-free POD-assisted computation of incompressible flows | 2005-06-27 | Paper |
| Diffusion Maps, Spectral Clustering and Eigenfunctions of Fokker-Planck operators | 2005-06-06 | Paper |
| Equation-Free Dynamic Renormalization: Self-Similarity in Multidimensional Particle System Dynamics | 2005-05-17 | Paper |
| COARSE BIFURCATION DIAGRAMS VIA MICROSCOPIC SIMULATORS: A STATE-FEEDBACK CONTROL-BASED APPROACH | 2005-04-15 | Paper |
| Asymptotic states of a Smoluchowski equation | 2005-03-02 | Paper |
| From molecular dynamics to coarse self-similar solutions: a simple example using equation-free computation | 2005-02-22 | Paper |
| Dragging Bistable Fronts | 2004-11-26 | Paper |
| Remarks on a Smoluchowski equation | 2004-11-01 | Paper |
| Coarse projective kMC integration: Forward/reverse initial and boundary value problems | 2004-08-06 | Paper |
| Stability of solitary waves in finite Ablowitz–Ladik lattices | 2004-06-09 | Paper |
| Newton-Krylov solvers for time-steppers | 2004-04-20 | Paper |
| Deciding the Nature of the Coarse Equation through Microscopic Simulations: The Baby-Bathwater Scheme | 2004-03-08 | Paper |
| Time‐steppers and ‘coarse’ control of distributed microscopic processes | 2004-02-12 | Paper |
| Distributed nonlinear control of diffusion–reaction processes | 2004-02-12 | Paper |
| Projective Methods for Stiff Differential Equations: Problems with Gaps in Their Eigenvalue Spectrum | 2004-01-20 | Paper |
| Reduction and reconstruction for self-similar dynamical systems | 2003-12-03 | Paper |
| The gap-tooth method in particle simulations | 2003-09-14 | Paper |
| Focusing revisited: a renormalization/bifurcation approach | 2003-08-06 | Paper |
| Telescopic projective methods for parabolic differential equations | 2003-05-20 | Paper |
| A route to computational chaos revisited: Noninvertibility and the breakup of an invariant circle | 2003-02-19 | Paper |
| Buckling in response to applied heat sources | 2003-02-19 | Paper |
| Enabling Dynamic Process Simulators to Perform Alternative Tasks: A Time-stepper Based Toolkit for Computer-Aided Analysis | 2003-02-04 | Paper |
| Lighting Arnold flames: resonance in doubly forced periodic oscillators | 2002-06-11 | Paper |
| Effective bifurcation analysis: a time-stepper-based approach | 2002-06-11 | Paper |
| Numerical criterion for the stabilization of steady states of the Navier-Stokes equations | 2002-01-30 | Paper |
| One- and two-dimensional travelling wave solutions in gas-fluidized beds | 2001-05-17 | Paper |
| Propagation failure, universal scalings and Goldstone modes | 2001-02-13 | Paper |
| “Coarse” stability and bifurcation analysis using time-steppers: A reaction-diffusion example | 2001-01-31 | Paper |
| A dynamical systems approach to spiral wave dynamics | 2001-01-16 | Paper |
| Stable bound states of pulses in an excitable medium | 2000-09-19 | Paper |
| On some dissipative fully discrete nonlinear Galerkin schemes for the Kuramoto-Sivashinsky equation | 2000-02-06 | Paper |
| On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps | 1999-02-02 | Paper |
| Fully developed travelling wave solutions and bubble formation in fluidized beds | 1998-11-17 | Paper |
| Two-dimensional invariant manifolds and global bifurcations: Some approximation and visualization studies | 1998-04-20 | Paper |
| Pulse bifurcation and transition to spatiotemporal chaos in an excitable reaction-diffusion model | 1997-11-26 | Paper |
| Unsteady Two-Dimensional Flows in Complex Geometries: Comparative Bifurcation Studies with Global Eigenfunction Expansions | 1997-06-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4872656 | 1996-09-29 | Paper |
| Bananas and Banana Splits: A Parametric Degeneracy in the Hopf Bifurcation for Maps | 1995-03-20 | Paper |
| Microbial predation in coupled chemostats: A global study of two coupled nonlinear oscillators | 1994-12-11 | Paper |
| Global bifurcations in Rayleigh-Bénard convection. Experiments, empirical maps and numerical bifurcation analysis | 1994-11-01 | Paper |
| Immune network behavior. II: From oscillations to chaos and stationary states | 1994-10-24 | Paper |
| Noninvertibility and the structure of basins of attraction in a model adaptive control system | 1994-05-05 | Paper |
| Immune network behavior. I: From stationary states to limit cycle oscillations | 1993-08-23 | Paper |
| RESONANCE PHENOMENA IN AN ADAPTIVELY-CONTROLLED SYSTEM | 1993-01-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4010727 | 1992-09-27 | Paper |
| Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders | 1992-09-26 | Paper |
| Infinite-wavelength analysis for two-phase flow: A three-parameter computer-assisted study of global bifurcations | 1992-06-28 | Paper |
| Some common dynamic features of coupled reacting systems | 1992-06-27 | Paper |
| Period Doubling with Higher-Order Degeneracies | 1992-06-27 | Paper |
| Preserving dissipation in approximate inertial forms for the Kuramoto- Sivashinsky equation | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3972276 | 1992-06-25 | Paper |
| Microbial predation in a periodically operated chemostat: A global study of the interaction between natural and externally imposed frequencies | 1992-01-01 | Paper |
| Dissipativity of numerical schemes | 1991-01-01 | Paper |
| Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations | 1990-01-01 | Paper |
| Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation | 1990-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3034562 | 1989-01-01 | Paper |
