Numerische Mathematik 3

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• Numerische Mathematik

Besitzt Publikation

Die Publikationsliste für die Kategorie "Organisationseinheit" zeigt alle Publikationen, die der einzelnen Organisationseinheit direkt zugeordnet sind. Für eine Liste, die auch alle Publikationen von untergeordneten Organisationseinheiten inkludiert, nutzen Sie die Liste in der Facette "Organisationseinheit".

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