Partial differential equations
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- 2016
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Mark
On time discretizations for the batch simulation of the settling-compression process in one dimension
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- Contribution to journal › Article
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High-order splitting schemes for semilinear evolution equations
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- Contribution to journal › Article
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The spectral problem for the dispersionless camassa-holm equation
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- Contribution to journal › Article
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Efficient Time Integration of IMEX Type using Exponential Integrators for Compressible, Viscous Flow Simulation
2016) Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016 In PAMM - Proceedings in Applied Mathematics and Mechanics 16. p.867-868(
- Contribution to journal › Article
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Mark
A Note on Terminology in Multigrid Methods
2016) Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016 In PAMM - Proceedings in Applied Mathematics and Mechanics 16. p.721-722(
- Contribution to journal › Article
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Mark
Convergence Analysis of the Dirichlet-Neumann Iteration for Finite Element Discretizations
2016) Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker-Vereinigung (DMV), Braunschweig 2016 In PAMM - Proceedings in Applied Mathematics and Mechanics 16. p.733-734(
- Contribution to journal › Article
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Variational existence theory for hydroelastic solitary waves : Une théorie variationnelle d'existence d'ondes solitaires hydroélastiques
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- Contribution to journal › Article
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Simulations of reactive settling of activated sludge with a reduced biokinetic model
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- Contribution to journal › Article
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An age structured cell cycle model with crowding
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- Contribution to journal › Article
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Clusters of eigenvalues for the magnetic Laplacian with Robin condition
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- Contribution to journal › Article
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A Dimension-Breaking Phenomenon for Water Waves with Weak Surface Tension
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- Contribution to journal › Article
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Periodic solitons for the elliptic-elliptic focussing Davey-Stewartson equations
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- Contribution to journal › Article
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A comparison of Rosenbrock and ESDIRK methods combined with iterative solvers for unsteady compressible flows
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- Contribution to journal › Article
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Concentration-driven models revisited: Towards a unified framework to model settling tanks in WWTPs
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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A simplified model of an activated sludge process with a plug-flow reactor
2016) The 9th Eurosim Congress on Modelling and Simulation EUROSIM 2016, The 57th SIMS Conference on Simulation and Modelling SIMS 2016 In Linköping electronic conference proceedings 142. p.824-830(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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A Full Space-Time Convergence Order Analysis of Operator Splittings for Linear Dissipative Evolution Equations
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- Contribution to journal › Article
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Efficient simulations of tubulin-driven axonal growth
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- Contribution to journal › Article
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The Dirichlet-Neumann Iteration for Unsteady Thermal Fluid Structure Interaction: Convergence Analysis for Finite Element Discretizations
2016) In Preprint without journal information(
- Contribution to journal › Article
- 2015
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Nodal domains in the square – the Neumann case
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- Contribution to journal › Article
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Fast reliable simulations of secondary settling tanks in wastewater treatment with semi-implicit time discretization
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- Contribution to journal › Article
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Existence and conditional energetic stability of solitary gravity-capillary water waves with constant vorticity
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- Contribution to journal › Article
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Trimodal Steady Water Waves
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- Contribution to journal › Article
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Variants of an explicit kernel-split panel-based Nyström discretization scheme for Helmholtz boundary value problems
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- Contribution to journal › Article
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Impact on sludge inventory and control strategies using the Benchmark Simulation Model No. 1 with the Bürger-Diehl settler model
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- Contribution to journal › Article
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Numerical identification of constitutive functions in scalar nonlinear convection-diffusion equations with application to batch sedimentation
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- Contribution to journal › Article
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L2Roe: A low-dissipation version of Roe's approximate Riemann solver for low Mach numbers
2015) In International Journal for Numerical Methods in Fluids(
- Contribution to journal › Article
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Thermal Fluid-Structure-Interaction - Experimental and Numerical Analysis
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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A Memory-Efficient Finite Volume Method for Advection-Diffusion-Reaction Systems with Non-Smooth Sources
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- Contribution to journal › Article
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Phase field modelling of stress corrosion
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- Contribution to journal › Article
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Fast Solvers for Unsteady Thermal Fluid Structure Interaction
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- Contribution to journal › Article
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Lack of Diamagnetism and the Little-Parks Effect
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- Contribution to journal › Article
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Convergence Speed of Coupling Iterations for the Unsteady Transmission Problem
2015) VI International Conference on Computational Methods for Coupled Problems in Science and Engineering (COUPLED PROBLEMS 2015) p.452-463(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Extrapolation in Time in Thermal Fluid Structure Interaction
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Critical analysis of constitutive functions for hindered settling velocity in 1-D settler models
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Analyses of activated sludge processes consisting of a plug-flow reactor and a non-ideal settler
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Steady-state analysis and design of activated sludge processes including compressive settling
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
On time discretizations for the simulation of the settling-compression process
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
The Bürger-Diehl model : The right integrator for the right model
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Impact of the flocculation state on hindered and compression settling : experimental evidence and overview of available modelling frameworks
2015) 9th IWA Symposium on Systems Analysis and Integrated Assessment (Watermatex)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
- 2014
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Mark
Implicit Euler and Lie splitting discretizations of nonlinear parabolic equations with delay
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- Contribution to journal › Article
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Advanced methods of flux identification for clarifier–thickener simulation models
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- Contribution to journal › Article
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A one-dimensional moving-boundary model for tubulin-driven axonal growth.
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- Contribution to journal › Article
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Convergence analysis for splitting of the abstract differential Riccati equation
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- Contribution to journal › Article
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Modeling and controlling clarifier–thickeners fed by suspensions with time-dependent properties
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- Contribution to journal › Article
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Non-existence of three-dimensional travelling water waves with constant non-zero vorticity
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- Contribution to journal › Article
- 2013
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Mark
Poisson integrals for standard weighted Laplacians in the unit disc
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- Contribution to journal › Article
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The ground state energy of the three dimensional Ginzburg-Landau functional. Part II: Surface regime
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- Contribution to journal › Article
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On the essential spectrum of magnetic Schrödinger operators in exterior domains
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- Contribution to journal › Article
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Existence and conditional energetic stability of three-dimensional fully localised solitary gravity-capillary water waves
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- Contribution to journal › Article
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On the Microlocal Properties of the Range of Systems of Principal Type
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- Contribution to journal › Article
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Convexity-preserving flux identification for scalar conservation laws modelling sedimentation
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- Contribution to journal › Article
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Convergence of the implicit-explicit Euler scheme applied to perturbed dissipative evolution equations
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- Contribution to journal › Article
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A reduced-order ODE-PDE model for the activated sludge process in wastewater treatment: Classification and stability of steady states
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- Contribution to journal › Article
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A consistent modelling methodology for secondary settling tanks: A reliable numerical method.
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- Contribution to journal › Article
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Control of an ideal activated sludge process in wastewater treatment via an ODE–PDE model
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- Contribution to journal › Article
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A Convergence Analysis of the Peaceman-Rachford Scheme for Semilinear Evolution Equations
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- Contribution to journal › Article
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Rosenbrock time integration for unsteady flow simulations
2013) p.1-12(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Accuracy in a finite volume godunov type method
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Fast solvers for thermal fluid structure interaction
2013) p.202-212(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Towards improved 1-D settler modelling: impact on control strategies using the Benchmark Simulation Model
2013) 11th IWA Conference on Instrumentation Control and Automation (ICA 2013)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Towards improved 1-D settler modelling: calibration of the Bürger model and case study
2013) 86th Annual Water Environment Federation Technical Exhibition and Conference (WEFTEC 2013)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
- 2012
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Mark
On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment
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- Contribution to journal › Article
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Mark
Shock-wave behaviour of sedimentation in wastewater treatment: a rich problem
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
A second-order positivity preserving scheme for semilinear parabolic problems
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- Contribution to journal › Article
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A reliable numerical method for secondary settling modelling
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- Contribution to journal › Article
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On the existence and stability of solitary-wave solutions to a class of evolution equations of Whitham type
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- Contribution to journal › Article
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On some microlocal properties of the range of a pseudo-differential operator of principal type.
(
- Contribution to journal › Article
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Fundamental nonlinearities of the reactor-settler interaction in the activated sludge process
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- Contribution to journal › Article
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Experimental investigations of thermal fluid- structure interaction
2012) p.127-133(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Efficient Time Integration for Discontinuous Galerkin Methods for the Unsteady 3D Navier-Stokes Equations
2012)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Numerical Simulation of Thermal Fluid Structure Interaction using the Nonlinear Heat Equation
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Optimizing Runge-Kutta smoothers for unsteady flow problems
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- Contribution to journal › Article
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Numerical Methods for the Unsteady Compressible Navier-Stokes Equations
2012) In Habilitation Thesis(
- Book/Report › Book
- 2011
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Mark
On the Existence and Conditional Energetic Stability of Solitary Gravity-Capillary Surface Waves on Deep Water
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- Contribution to journal › Article
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Steady water waves with multiple critical layers
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- Contribution to journal › Article
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A consistent modelling methodology for secondary settling tanks in wastewater treatment
(
- Contribution to journal › Article
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Asymptotic Integration Of Second-Order Nonlinear Difference Equations
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- Contribution to journal › Article
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Strong diamagnetism form the ball in three dimensions
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- Contribution to journal › Article
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Superconductivity between HC2 and HC3
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- Contribution to journal › Article
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Designing optimal smoothers for multigrid methods for unsteady flow problems
2011)(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Simulation of the secondary settling process with reliable numerical methods
(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Fundamental nonlinearities of the reactor-settler interaction in the activated sludge process
(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
- 2010
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Mark
On the existence and conditional energetic stability of solitary water waves with weak surface tension
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- Contribution to journal › Article
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Mark
Unconditional convergence of DIRK schemes applied to dissipative evolution equations
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- Contribution to journal › Article
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Choosing norms in adaptive FSI calculations
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
A Time-Adaptive Fluid-Structure Interaction Method for Thermal Coupling
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- Contribution to journal › Article
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On Nonlinear Preconditioners in Newton-Krylov-Methods for Unsteady Flows
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- Contribution to journal › Article
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Mark
On some microlocal properties of the range of a pseudo-differential operator of principal type
2010)(
- Thesis › Doctoral thesis (monograph)
- 2009
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Mark
Dimension splitting for time dependent operators
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- Contribution to journal › Article
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Steady water waves with a critical layer
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- Contribution to journal › Article
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High order splitting methods for analytic semigroups exist
(
- Contribution to journal › Article
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Nonlinear iterative solvers for unsteady Navier-Stokes equations
2009) p.429-438(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
Blending Dual Time Stepping and Newton-Krylov Methods for Unsteady Flows
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- Contribution to journal › Article
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On Coupling Schemes for Heat Transfer in FSI Applications
2009) p.21-30(
- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
On higher order time integration for thermal coupling
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- Chapter in Book/Report/Conference proceeding › Paper in conference proceeding
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Mark
A uniqueness condition for nonlinear convection-diffusion equations with discontinuous coefficients
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- Contribution to journal › Article
- 2008
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Mark
Small-amplitude Stokes and solitary gravity water waves with an arbitrary distribution of vorticity
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- Contribution to journal › Article
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Operating charts for continuous sedimentation IV: limitations for control of dynamic behaviour
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- Contribution to journal › Article
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A regulator for continuous sedimentation in ideal clarifier–thickener units
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- Contribution to journal › Article
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On the fluid motion in standing waves
(
- Contribution to journal › Article