Hendrik Ranocha
- Beziehungen:
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Resolving Entropy Growth from Iterative Methods
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SummationByPartsOperators.jl: A Julia library of provably stable discretization techniques with mimetic properties
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Analysis of Artificial Dissipation of Explicit and Implicit
Time-Integration Methods
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Adaptive numerical simulations with Trixi.jl: A case study of Julia for
scientific computing
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On the entropy projection and the robustness of high order entropy
stable discontinuous Galerkin schemes for under-resolved flows
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Bridging HPC Communities through the Julia Programming Language
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Modeling still matters: a surprising instance of catastrophic floating
point errors in mathematical biology and numerical methods for ODEs
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Functional-preserving predictor-corrector multiderivative schemes
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Numerical Methods for the Magnetic Induction Equation with Hall Effect
and Projections onto Divergence-Free Vector Fields
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Enhancing stability of correction procedure via reconstruction using
summation-by-parts operators I: Artificial dissipation
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Enhancing stability of correction procedure via reconstruction using
summation-by-parts operators II: Modal filtering
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Step size control for explicit relaxation Runge-Kutta methods preserving
invariants
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Using Bayesian Optimization to Design Time Step Size Controllers with
Application to Modified Patankar--Runge--Kutta Methods
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Advantages and pitfalls of OpenCL in computational physics
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Kinetic Functions for Nonclassical Shocks, Entropy Stability, and Discrete Summation by Parts
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Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
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Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators
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Kinetic functions for nonclassical shocks, entropy stability, and
discrete summation by parts
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Mimetic Properties of Difference Operators: Product and Chain Rules as
for Functions of Bounded Variation and Entropy Stability of Second
Derivatives
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Resolving entropy growth from iterative methods
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Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko
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Multiderivative time integration methods preserving nonlinear
functionals via relaxation
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Structure-Preserving Numerical Methods for Two Nonlinear Systems of
Dispersive Wave Equations
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On the robustness of high-order upwind summation-by-parts methods for
nonlinear conservation laws
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A purely hyperbolic discontinuous Galerkin approach for self-gravitating
gas dynamics
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A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
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Structure-Preserving Numerical Methods for Fokker-Planck Equations
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On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for Under-Resolved Flows
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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators
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A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions
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Reinterpretation and extension of entropy correction terms for residual distribution and discontinuous Galerkin schemes: Application to structure preserving discretization
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POSITIVITY-PRESERVING ADAPTIVE RUNGE-KUTTA METHODS
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Reinterpretation and Extension of Entropy Correction Terms for Residual
Distribution and Discontinuous Galerkin Schemes: Application to Structure
Preserving Discretization
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Positivity-Preserving Adaptive Runge-Kutta Methods
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A New Class of $A$ Stable Summation by Parts Time Integration Schemes
with Strong Initial Conditions
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Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical
Finite Difference Summation by Parts Operators
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Summation-by-Parts and Correction Procedure via Reconstruction
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ENERGY STABILITY OF EXPLICIT RUNGE-KUTTA METHODS FOR NONAUTONOMOUS OR NONLINEAR PROBLEMS
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Correction Procedure via Reconstruction Using Summation-by-Parts Operators
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Generalised Summation-by-Parts Operators and Variable Coefficients
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On the rate of error growth in time for numerical solutions of nonlinear dispersive wave equations
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Computing with B-series
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A CONSERVATIVE FULLY DISCRETE NUMERICAL METHOD FOR THE REGULARIZED SHALLOW WATER WAVE EQUATIONS
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Summation-by-parts operators for correction procedure via reconstruction
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Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients
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Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators
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Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations
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Stability of step size control based on a posteriori error estimates
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Computing with B-series
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Energy Stability of Explicit Runge-Kutta Methods for Non-autonomous or
Nonlinear Problems
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RELAXATION RUNGE-KUTTA METHODS: FULLY DISCRETE EXPLICIT ENTROPY-STABLE SCHEMES FOR THE COMPRESSIBLE EULER AND NAVIER-STOKES EQUATIONS
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Some notes on summation by parts time integration methods
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Dynamical features and spatial structures of the plasma interaction region of 67P/Churyumov-Gerasimenko and the solar wind
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Shallow water equations: split-form, entropy stable, well-balanced, and positivity preserving numerical methods
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Efficient implementation of modern entropy stable and kinetic energy
preserving discontinuous Galerkin methods for conservation laws
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Preventing pressure oscillations does not fix local linear stability
issues of entropy-based split-form high-order schemes
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Fully-Discrete Explicit Locally Entropy-Stable Schemes for the
Compressible Euler and Navier-Stokes Equations
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On strong stability of explicit Runge-Kutta methods for nonlinear semibounded operators
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A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations
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On the robustness and performance of entropy stable collocated discontinuous Galerkin methods
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Efficient Implementation of Modern Entropy Stable and Kinetic Energy Preserving Discontinuous Galerkin Methods for Conservation Laws
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Generalised summation-by-parts operators and variable coefficients
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Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations
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Preventing Pressure Oscillations Does Not Fix Local Linear Stability Issues of Entropy-Based Split-Form High-Order Schemes
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On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear
Dispersive Wave Equations
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A conservative fully-discrete numerical method for the regularised
shallow water wave equations
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Summation-by-parts operators for correction procedure via reconstruction
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Comparison of some Entropy Conservative Numerical Fluxes for the Euler
Equations
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A Broad Class of Conservative Numerical Methods for Dispersive Wave
Equations
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On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear
Semibounded Operators
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On the robustness and performance of entropy stable discontinuous
collocation methods for the compressible Navier-Stokes equations
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Some Notes on Summation by Parts Time Integration Methods
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Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable
Schemes for the Compressible Euler and Navier-Stokes Equations
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Error Boundedness of Discontinuous Galerkin Methods with Variable
Coefficients
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Shallow water equations: Split-form, entropy stable, well-balanced, and
positivity preserving numerical methods
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STABILITY OF CORRECTION PROCEDURE VIA RECONSTRUCTION WITH SUMMATION-BY-PARTS OPERATORS FOR BURGERS' EQUATION USING A POLYNOMIAL CHAOS APPROACH
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A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators
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RK-Opt: A package for the design of numerical ODE solvers
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Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics
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Extended skew-symmetric form for summation-by-parts operators and varying Jacobians
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Issues with positivity-preserving Patankar-type schemes
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A note on numerical fluxes conserving a member of Harten's one-parameter family of entropies for the compressible Euler equations
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NodePy: A package for the analysis of numerical ODE solvers
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L2 Stability of Explicit Runge-Kutta Schemes
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On Error-Based Step Size Control for Discontinuous Galerkin Methods for Compressible Fluid Dynamics
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General relaxation methods for initial-value problems with application to multistep schemes
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Relaxation Runge-Kutta Methods for Hamiltonian Problems
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A discontinuous Galerkin discretization of elliptic problems with
improved convergence properties using summation by parts operators
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On error-based step size control for discontinuous Galerkin methods for
compressible fluid dynamics
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Issues with Positivity-Preserving Patankar-type Schemes
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A Note on Numerical Fluxes Conserving a Member of Harten's One-Parameter
Family of Entropies for the Compressible Euler Equations
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Optimized Runge-Kutta Methods with Automatic Step Size Control for
Compressible Computational Fluid Dynamics
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General Relaxation Methods for Initial-Value Problems with Application
to Multistep Schemes
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Relaxation Runge-Kutta Methods for Hamiltonian Problems
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Stability of Correction Procedure via Reconstruction With
Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos
Approach
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Extended Skew-Symmetric Form for Summation-by-Parts Operators and
Varying Jacobians