Publications
Journal Article (95)
- Kopanicakova A., Kothari H., Krause R. (2023) Nonlinear Field-Split Preconditioners for Solving Monolithic Phase-field Models of Brittle Fracture
- Benedusi P., Riva S., Zulian P., Belluzzi L., Štěpán J., Krause R. (2023) Scalable matrix-free solver for 3D transfer of polarized radiation in stellar atmospheres
- Riva S., Guerreiro N., Janett G., Rossinelli D., Benedusi P., Krause R., Belluzzi L. (2023) Assessment of the CRD approximation for the observer's frame RIII redistribution matrix
- Dölz J., Harbrecht H., Jerez-Hanckes C., Multerer M. (2022) Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
- Gander L., Pezzuto S., Gharaviri A., Krause R., Perdikaris P., Sahli Costabal F. (2022) Fast characterization of inducible regions of atrial fibrillation models with multi-fidelity Gaussian process classification
- Harbrecht H., Multerer M. (2022) Samplets: Construction and scattered data compression
- Kothari H., Krause R. (2022) A Generalized Multigrid Method for Solving Contact Problems in Lagrange Multiplier based Unfitted Finite Element Method
- Harbrecht H., Multerer M., von Rickenbach R. (2022) Isogeometric shape optimization of periodic structures in three dimensions
- Huang W., Multerer M. (2022) Isogeometric analysis of diffusion problems on random surfaces
- Grandits T., Effland A., Pock T., Krause R., Plank G., Pezzuto S. (2021) GEASI: Geodesic-based Earliest Activation Sites Identification in cardiac models
- Pezzuto S., Prinzen F., Potse M., Maffessanti F., Regoli F., Caputo M., Conte G., Krause R., Auricchio A. (2021) Reconstruction of three-dimensional biventricular activation based on the 12-lead electrocardiogram via patient-specific modelling
- Gander L., Krause R., Multerer M., Pezzuto S. (2021) Space-time shape uncertainties in the forward and inverse problem of electrocardiography
- Janett G., Alsina Ballester E., Guerreiro N., Riva S., Belluzzi L., del Pino Alemán T., Trujillo Bueno J. (2021) Modeling the scattering polarization of the solar Ca i 4227 A line with angle-dependent partial frequency redistribution
- Levie R., Huang W., Bucci L., Bronstein M., Kutyniok G. (2021) Transferability of spectral graph convolutional neural networks
- Kothari H., Krause R. (2021) A Multigrid Method for a Nitsche-based Extended Finite Element Method
- Harbrecht H., Multerer M. (2021) A fast direct solver for nonlocal operators in wavelet coordinates
- von Planta C., Vogler D., Xiaoqing C., Nestola M., Saar M., Krause R. (2020) Modelling of hydro-mechanical processes in heterogeneous fracture intersections using a fictitious domain method with variational transfer operators
- Kopanicakova A., Krause R. (2020) A recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture
- Zulian P., von Planta C., Vogler D., Saar M., Krause R. (2020) Contact between Rough Rock Surfaces Using a Dual Mortar Method
- Donatelli M., Krause R., Mazza M., Trotti K. (2020) Multigrid preconditioners for anisotropic space-fractional diffusion equations
- Klawonn A., Lanser M., Uran M., Rheinbach O., Schenk O., Wellein G., Schröder J., Balzani D., Janalík R. (2020) Towards A Virtual Laboratory - Computation of Forming Limit Curves
- von Planta C., Vogler D., Chen X., Nestola M., Saar M., Krause R. (2019) Simulation of hydro-mechanically coupled processes in rough rock fractures using an immersed boundary method and variational transfer operators
- Nestola M., Becsek B., Zolfaghari H., Zulian P., De Marinis D., Krause R., Obrist D. (2019) An immersed boundary method for fluid-structure interaction based on variational transfer
- Pizzagalli D., Latino I., Pulfer A., Palomino-Segura M., Virgilio T., Farsakoglu Y., Krause R., Gonzalez S. (2019) Characterization of the dynamic behavior of neutrophils following influenza vaccination
- Zolfaghari H., Becsek B., Nestola M., Sawyer W., Krause R., Obrist D. (2019) High-order accurate simulation of incompressible turbulent flows on many parallel GPUs of a hybrid-node supercomputer
- Bilgen C., Kopaničáková A., Krause R., Kerstin W. (2019) A detailed investigation of the model influencing parameters of the phase-field fracture approach.
- Favino M., Hunziker J., Caspari E., Quintal B., Holliger K., Krause R. (2019) Fully-Automated Adaptive Mesh Refinement for Media Embedding Complex Heterogeneities: Application to Poroelastic Fluid Pressure Diffusion
- Schädle P., Zulian P., Vogler D., Sthavishtha B., Nestola M., Ebigbo A., Krause R., Saar M., others . (2019) 3D non-conforming mesh model for flow in fractured porous media using Lagrange multipliers
- Dölz J., Harbrecht H., Multerer M. (2019) On the best approximation of the hierarchical matrix product
- Kopaničáková A., Krause R. (2019) Recursive multilevel trust region method with application to fully monolithic phase-field models of brittle fracture.
- Harbrecht H., Multerer M., Ilić N. (2019) Rapid computation of far-field statistics for random obstacle scattering
- Kopaničáková A., Tamstorf R., Krause R. (2019) Subdivision-based nonlinear multiscale cloth simulation
- Pizzagalli D., Gonzalez S., Krause R. (2019) A trainable clustering algorithm based on shortest paths from density peaks
- Nestola M., Zulian P., Gaedke-Merzhäuser L., Krause R. (2019) An embedded formulation for fluid-structure interaction with contact
- Quaglino A., Pezzuto S., Krause R. (2019) High-dimensional and higher-order multifidelity Monte Carlo estimators
- Maffessanti F., Prinzen W., Conte G., Regoli F., Caputo M., Suerder D., Moccetti T., Faletra F., Krause R., Auricchio A. (2018) Integrated Assessment of Left Ventricular Electrical Activation and Myocardial Strain Mapping in Heart Failure Patients
- Osborn S., Zulian P., Benson T., Villa U., Krause R., Vassilevski P. (2018) Scalable hierarchical PDE sampler for generating spatially correlated random fields using nonmatching meshes
- Nguyen U., Potse M., Vernooy K., Mafi-Rad M., Heijman J., Caputo M., Conte G., Regoli F., Krause R., Moccetti T., Auricchio A., Prinzen F., Maffessanti F. (2018) A left bundle branch block activation sequence and ventricular pacing influence voltage amplitudes: an in vivo and in silico study.
- Tierney N., Reinhold H., Mira A., Weiser M., Burkart R., Benvenuti C., Auricchio A. (2018) Novel relocation methods for automatic external defibrillator to improve out-of-hospital cardiac arrest coverage under limited resources
- Pezzuto S., Gharaviri A., Schotten U., Potse M., Conte G., Caputo M., Regoli F., Krause R., Auricchio A. (2018) Beat-to-beat P-wave morphological variability in patients with paroxysmal atrial fibrillation: an in silico study
- Krause R., Müller B. (2017) An adaptive least-squares mixed finite eleme
- Hesch C., Schuß S., Dittmann M., Eugster S., Favino M., Krause R. (2017) Variational space-time elements for large-scale systems
- Bilgen C., Kopani\v cáková A., Krause R., Weinberg K. (2017) A phase-field approach to pneumatic fracture
- Piazzese C., Carminati M., Colombo A., Krause R., Potse M., Auricchio A., Weinert L., Tamborini G., Pepi M., Lang R., Caiani E. (2016) Segmentation of the left ventricular endocardium from magnetic resonance images by using different statistical shape models
- Favino M., Pozzi S., Pezzuto S., Prinzen F., Auricchio A., Krause R. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study.
- Quaglino A., Krause R. (2016) Towards a multigrid method for the minimum-cost flow problem
- Keilig L., Drolshagen M., Tran K., Hasan I., Reimann S., Deschner J., Brinkmann K., Krause R., Favino M., Bourauel C. (2016) In vivo measurements and numerical analysis of the biomechanical characteristics of the human periodontal ligament
- Favino M., Bourauel C., Krause R. (2016) A nonlinear poroelastic model for the periodontal ligament
- Krause R., Zulian P. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems
- Li X., Benedusi P., Krause R. (2016) An Iterative Approach for Time Integration Based on Discontinuous Galerkin Methods
- Krause R., Rigazzi A., Steiner J. (2016) A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems
- Arbenz P., Grigori L., Krause R., Schenk O. (2016) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14)
- Krause R., Zulian P. (2016) Impact of mechanical deformation on pseudo-ECG: a simulation study.
- Krause R., Zulian P. (2016) A Parallel Approach to the Variational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes
- Krause R., Zulian P. (2016) A {Parallel} {Approach} to theVariational Transfer of Discrete Fields between Arbitrarily Distributed Unstructured Finite Element Meshes
- Krause D., Krause R. (2016) Enabling local time stepping in the parallel implicit solution of reaction{\textendash}diffusion equations via space-time finite elements on shallow tree meshes
- Krause R., Veeser A., Walloth M. (2015) An efficient and reliable residual-type a posteriori error estimator for the Signorini problem
- Kreienbuehl A., Naegel A., Ruprecht D., Speck R., Wittum G., Krause R. (2015) Numerical simulation of skin transport using Parareal
- Arbenz P., Grigori L., Krause R., Schenk O. (2015) Special issue on Parallel Matrix Algorithms and Applications (PMAA'14)
- Arteaga A., Ruprecht D., Krause R. (2015) A stencil-based implementation of Parareal in the C++ domain specific embedded language STELLA
- Nguy\haten U., Potse M., Regoli F., Caputo M., Conte G., Murzilli R., Muzzarelli S., Moccetti T., Prinzen F., Krause R., Auricchio. a. (2015) An in-silico analysis of the effect of heart position and orientation on the ECG morphology and vectorcardiogram parameters in patients with heart failure and intraventricular conduction defects
- Speck R., Ruprecht D., Emmett M., Minion M., Bolten M., Krause R. (2015) A multi-level spectral deferred correction method
- Kroon W., Lumens J., Potse M., Suerder D., Klersy C., Regoli F., Murzilli R., Moccetti T., Delhaas T., Krause R., Prinzen F., Auricchio a. (2015) In-vivo Electromechanical Assessment of Heart Failure Patients with Prolonged QRS Duration
- Dickopf T., Krause D., Krause R., Potse M. (2014) Design and Analysis of a Lightweight Parallel Adaptive Scheme for the Solution of the Monodomain Equation
- Dickopf T., Krause R. (2014) Evaluating local approximations of the L2-orthogonal projection between non-nested finite element spaces
- Dickopf T., Krause D., Potse M. (2014) Design and Analysis of a Lightweight Parallel Adaptive Scheme for the Solution of the Monodomain Equation
- Conen L., Krause R. (2014) Addendum to "A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator"
- Potse M., Krause D., Kroon W., Murzilli R., Muzzarelli S., Regoli F., Caiani E., Prinzen F., Krause R., Auricchio A. (2014) Patient-specific modelling of cardiac electrophysiology in heart-failure patients
- Baginski F., Croce R., Gillmor S., Krause R. (2014) Numerical investigations of the role of curvature in strong segregation problems on a given surface
- Dickopf T. (2014) Evaluating local approximations of the L^2-orthogonal projection between non-nested finite element spaces
- Conen L., Dolean V., Krause R., Nataf F. (2014) A coarse space for heterogeneous Helmholtz problems based on the Dirichlet-to-Neumann operator
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) A Probabilistic Model for LCF
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) The influence of boundary approximation on transf
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL
- Schmitz S., Seibel T., Beck T., Rollmann G., Krause R., Gottschalk H. (2013) A Probabilistic Model for LCF
- Favino M., Gross C., Drolshagen M., Keilig L., Deschner J., Bourauel C., Krause R. (2013) Validation of a heterogeneous elastic-biphasic model for the numerical simulation of the PDL
- Dickopf T., Krause R. (2013) The influence of boundary approximation on transfer operators between non-nested meshes
- Krause R., Walloth M. (2012) Presentation and Comparison of Selected Algorithms for Dynamic Contact Based on the Newmark Scheme
- Badea L., Krause R. (2012) One- and two-level multiplicative Schwarz methods for variational and quasi-variational inequalities of the second kind
- Winkel M., Speck R., Huebner H., Arnold L., Krause R., Gibbon P. (2012) A massively parallel, multi-disciplinary Barnes-Hut tree code for extreme-scale N-body simulations
- Ruprecht D., Krause R. (2012) Explicit Parallel-in-time Integration of a Linear Acoustic-Advection System
- Krause R., Walloth M. (2011) A family of space-time connecting discretization schemes for elastodynamic contact problems with local impact detection
- Drolshagen M., Keilig L., Hasan I., Reimann S., Deschner J., Brinkmann K., Krause R., Favino M., Bourauel C. (2011) Development of a novel intraoral measurement device to determine the biomechanical characteristics of the human periodontal ligament.
- Bacharova L., Mateasik A., Krause R., Prinzen F., Auricchio A., Potse M. (2011) The effect of reduced intercellular coupling on electrocardiographic signs of left ventricular hypertrophy
- Fackeldey K., Krause R., Krause D., Lenzen C. (2011) Coupling Molecular Dynamics and Continua with Weak Constraints
- Krause R., Mohr C. (2011) Level set based multi-scale methods for large deformation contact problems
- Krause R., Walloth M. (2011) A family of space–time connecting discretization schemes with local impact detection for elastodynamic contact problems
- Papadopoulou K., Keilig L., Eliades T., Krause R., Jäger A., Bourauel C. (2011) The time-dependent biomechanical behaviour of the periodontal ligament - an in vitro experimental study in minipig mandibular two-rooted premola
- Gross C., Krause R., Steiner J. (2010) Heterogeneous Coupling: A Comparison of two Approaches for the Modeling of thin Structures
- Fackeldey K., Krause R. (2009) Multiscale Coupling in Function Space - Weak Coupling between Molecular Dynamics and Continuum Mechanics
- Krause R. (2009) A Non-Smooth Multiscale Method for Solving Frictional Two-Body Contact Problems in 2D and 3D with Multigrid Efficiency
- Gross C., Krause R. (2009) On the Convergence of Recursive Trust--Region Methods for Multiscale Non-linear Optimization and Applications to Non-linear Mechanics
- Dickopf T., Krause R. (2009) Efficient simulation of multi-body contact problems on complex geometries: A flexible decomposition approach using constrained minimization
- Krause R., Walloth M. (2009) A Time Discretization Scheme Based on Rothe's Method for Dynamical Contact Problems with Friction
- Krause R., Wohlmuth B. (2001) Domain Decomposition Methods on Nonmatching Grids and Some Applications to Linear Elasticity Problems
Book (2)
Book chapter (7)
- Multerer M., Pezzuto S. (2021) Fast and Accurate Uncertainty Quantification for the ECG with Random Electrodes Location
- Bollhoefer M., Schenk O., Janalík R., Hamm S., Gullapalli K. (2020) State-of-The-Art Sparse Direct Solvers
- Multerer M., Wittwer L., Stopka A., Barac, D., Lang C., Iber D. (2018) Simulation of morphogen and tissue dynamics
- Krause D., Fackeldey K., Krause R. (2014) A Parallel Multiscale Simulation Toolbox for Coupling Molecular Dynamics and Finite Elements
- Krause D., Potse M., Dickopf T., Krause R., Auricchio A., Prinzen F. (2012) Hybrid Parallelization of a Large-Scale Heart Model
- Grillo A., Giverso C., Favino M., Krause R., Lampe M., Wittum G. (2012) Mass Transport in Porous Media With Variable Mass
- Dickopf T., Krause R. (2010) A study of prolongation operators between non-nested meshes
Technical report (7)
- Ben Bader S., Harbrecht H., Krause R., Quaglino A., Schmidlin M. (2021) Space-time multilevel quadrature methods and their application for cardiac electrophysiology
- Filipovic D., Schneider P. (2021) Adaptive joint distribution learning
- Gross C., Krause R. (2011) On the Globalization of ASPIN employing Trust-Region Control Strategies - Convergence Analysis and Numerical Examples
- Gross C., Krause R. (2010) A Generalized Recursive Trust-Region Approach - Nonlinear Multiplicatively Preconditioned Trust-Region Methods and Applications
- Conen L., Gross C., Krause R. (2010) The Linear Algebra Module in ObsLib++ - Description, Comparisons and Numerical Results
- Dickopf T., Krause R. (2009) A contact method for parametric finite elements
- Dickopf T., Krause R. (2009) A pseudo-L2-projection for multilevel methods based on non-nested meshes.
Working paper (2)
Other publication (7)
- Pizzagalli D., Farsakoglu Y., Palomino-Segura M., Palladino E., Sintes J., Marangoni F., Mempel T., Koh W., Murooka T., Thelen F., Stein J., Pozzi G., Krause R., Gonzalez S. (2018) LTDB - Leukocyte Tracking Database
- Krause R. (2016) Complex Multiphysics in Cardiac Simulation: From Patient Data via Electro-Mechanical Activation to ECGs
- Krause R., Marci G. (2016) Ticino della Scienza
- Krause R. (2015) Scienze Computazionali - Computational Science at USI
- Ruprecht D. (2014) Hybrid Space-Time Parallel Solution of Burgers' Equation
- Croce R., Ruprecht D., Krause R. (2013) Parallel-in-Space-and-Time Simulation of the Three-Dimensional, Unsteady Navier-Stokes Equations for Incompressible Flow
- Krause R. (2009) Swiss TV (SF1 10vor10) reports about CSCS a
Article in conference proceedings (43)
- Kothari H., Kopanicakova A., Krause R. (2023) A Multigrid Preconditioner for Jacobian-free Newton-Krylov Methods
- Gaedke-Merzhäuser L., Kopanicakova A., Krause R. (2021) Multilevel Minimization for Deep Residual Networks
- Kothari H., Krause R. (2021) Multigrid and saddle-point preconditioners for unfitted finite element modelling of inclusions
- Braglia V., Kopanicakova A., Krause R. (2020) A Multilevel Approach to Training
- von Planta C., Vogler D., Xiaoqing C., Nestola M., Zulian P., Saar M., Krause R. (2018) Simulating hydro-mechanical processes in rough fractures with a Fluid-Structure Interaction (FSI) approach with a parallel transfer operator
- Potse M., Gharaviri A., Pezzuto S., Auricchio A., Krause R., Verheule S., Schotten U. (2018) Anatomically-induced Fibrillation in a 3D model of the Human Atria
- Planta C., Vogler D., Nestola M., Zulian P., Krause R. (2018) Variational Parallel Information Transfer between Unstructured Grids in Geophysics-Applications and Solutions Methods
- Becsek B., Zolfaghari H., Nestola M., Obrist D., Krause R. (2018) Understanding Turbulent Flow issuing from the aortic valve
- Simpson T., Dimosthenis ., Kourounis D., Fujita K., Yamaguchi T., Tsuyoshi I., Schenk O. (2018) Balanced Graph Partition Refinement using the Graph p-Laplacian
- Nestola M., Becsek B., Zolfaghari H., Zulian P., Obrist D., Krause R. (2018) An Immersed Boundary Method Based on the L2-Projection Approach
- Hunziker J., Hunziker J., Favino M., Caspari E., Quintal B., Rubino J., Krause R., Holliger K. (2017) Seismic Attenuation in Realistic Fracture Networks
- Kotas P., Croce R., Poletti V., Vondrak V., Krause R. (2016) A Massive Parallel Fast Marching Method
- Grasedyck L., Löbbert C., Wittum G., Nägel A., Schulz V., Siebenborn M., Krause R., Küster U., Dick B. (2016) Space and Time Parallel Multigrid for Optimization and Uncertainty Quantification in PDE Simulations
- Benedusi P., Hupp D., Arbenz P., Krause R. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D
- Krause R., Zulian P. (2016) A Parallel Multigrid Solver for Time-Periodic Incompressible Navier–Stokes Equations in 3D
- Krause R., Krause D., Favino M., Ruprecht D. (2015) Parallel Methods in Cardiac Simulation -- from lightweight adaptivity to Coupled Models
- Schneider T., Zulian P., Azadmanesh M., Krause R., Hauswirth M. (2015) Vestige: A visualization framework for engineering geometry-related software
- Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2014) Integrating an N-body problem with SDC and PFASST
- Speck R., Ruprecht D., Emmett M., Minion M., Winkel M., Gibbon P. (2014) Integrating an N-Body Problem with SDC and PFASST
- Krause R., Ruprecht D. (2014) Hybrid Space-Time Parallel Solution of Burger's Equation
- Dickopf T., Krause R. (2013) Monotone Multigrid Methods Based on Parametric Finite Elements
- Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Risk Estimation for LCF Crack Initiation
- Dickopf T. (2013) Numerical study of the almost nested case in a multilevel method based on non-nested meshes
- Dickopf T., Krause R. (2013) Numerical study of the almost nested case in a multilevel method based on non-nested meshes
- Schmitz S., Gottschalk H., Rollmann G., Krause R. (2013) A Probabilistic Approach to Low-Cycle Fatigue
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2013) Risk Estimation for LCF Crack Initiation
- Bolten M., Emmet M., Krause R., Ruprecht D., Speck R. (2013) Poster: Extreme-scale Space-time Parallelism
- Schmitz S., Rollmann G., Gottschalk H., Krause R. (2013) Probabilistic Analysis of LCF Crack Initiation Life of a Turbine Blade under Thermomechanical Loading
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing
- Favino M., Krause R., Steiner J. (2012) An Efficient Preconditioning Strategy for Schur Complements Arising from Biphasic Models
- Peternier A., De Filippi M., Pasquali P., Cantone A., Krause R., Vitulli R., Ogushi F., Meroni A. (2012) Performance analysis of GPU-based SAR and Interferometric SAR image processing
- Favino M., Drolshagen M., Bourauel C., Krause R. (2012) A NON-LINEAR BIPHASIC MODEL FOR THE PERIODONTAL LIGAMENT: MODELLING AND SIMULATION
- Speck R., Krause R., Gibbon P. (2012) Parallel remeshing in tree codes for vortex particle methods
- Speck R., Ruprecht D., Krause R., Emmett M., Minion M., Winkel M., Gibbon P. (2012) A massively space-time parallel N-body solver
- Fackeldey K., Krause D., Krause R. (2011) Numerical Validation of Constraints Based Multiscale Methods
- Krause R., Krause D. (2011) Parallel Scale-Transfer in Multiscale MD-FE Coupling Using Remote Memory Access
- Fackeldey K., Krause D., Krause R. (2011) Numerical validation of a constraints-based multiscale simulation method for solids
- Krause R., Steiner J. (2010) Cosserat-Rods and Elastic Bodies: On the Numerical Simulation of a Coupled System
- Favino M., Steiner J., Gross C. (2010) Heterogeneous Coupling: A Comparison of two Approaches for the Modeling of thin Structures
- Gross C., Krause R. (2009) A Recursive Trust--Region Method for Non-convex Constrained Minimization
- Krause D., Krause R., Fackeldey K. (2009) Weak Coupling Algorithms in Multiscale Simulations
- Dickopf T., Krause R. (2009) Weak information transfer between non-matching warped interfaces
- Gross C., Krause R., Walloth M. (2009) Nonlinear Decomposition Methods in Elastodynamics