510 Mathematik
Refine
Departments, institutes and facilities
Document Type
- Article (24)
- Conference Object (17)
- Part of a Book (10)
- Report (9)
- Book (monograph, edited volume) (6)
- Preprint (5)
- Doctoral Thesis (1)
Year of publication
Keywords
- Method of lines (5)
- Cutting sticks-Problem (3)
- Rosenbrock-Wanner Methods (3)
- Teilsummenaufteilung (3)
- Applications in Energy Transport (2)
- Approximated Jacobian (2)
- Complex Systems Modeling and Simulation (2)
- Cutting sticks problem (2)
- Exchangeable pairs (2)
- Lehrbuch (2)
- Mengenpartitionsproblem (2)
- Network simulation (2)
- Non-linear systems (2)
- Order reduction (2)
- Peer methods (2)
- Semi-Lagrangian (2)
- Set partition problem (2)
- Shallow water equations (2)
- Statistik (2)
- Stein’s method (2)
- W methods (2)
- W-Methods (2)
- Wirtschaftsmathematik (2)
- differential-algebraic equations (2)
- Aircraft (1)
- Annuity calculation (1)
- Application in electrochemistry (1)
- Approximate Matrix Factorization (1)
- Augmented Lagrangian (1)
- Automatic Differentiation (1)
- B-splines (1)
- BDF methods (1)
- Binomialverteilung (1)
- Blume–Capel model (1)
- Blume–Emery–Griffith model (1)
- Buch (1)
- CPACS (1)
- Complementarity Problem (1)
- Complex systems modeling and simulation (1)
- Compressible (1)
- Computational fluid dynamics (1)
- Constrained mechanical system (1)
- Contingency analysis (1)
- Coupling mechanism (1)
- Critical temperature (1)
- Cubature (1)
- Curie–Weiss–Potts models (1)
- Datenerhebung (1)
- Deskriptive Statistik (1)
- Diagramm (1)
- Differential Variational Inequality (1)
- Differential algebraic equations (1)
- Differential calculus (1)
- Differential-algebraic equations (1)
- ENO-schemes (1)
- Economic functions (1)
- Einführung (1)
- Electric circuit analysis (1)
- Exponential Methods (1)
- Exponential Rosenbrock Methods (1)
- Financial mathematics (1)
- First-order phase transition (1)
- Flow and transport in rivers (1)
- Forecast models (1)
- Forklifts (1)
- Free boundary problem (1)
- Gas transport simulation (1)
- Gauss–Hermite quadrature (1)
- Geometry (1)
- Gordon surface (1)
- Grundlagen (1)
- Grundwissen (1)
- High-performance computing (1)
- Historical remarks (1)
- Hydrogen (1)
- Hydrogen storage (1)
- Hypothesentest (1)
- Immersed interface method (1)
- Index notions (1)
- Index-1 DAEs (1)
- Index-one DAEs (1)
- Integral calculus (1)
- Integrated modelling (1)
- Investment calculation (1)
- Julia package Differential Equations (1)
- Lattice Boltzmann Method (1)
- Lattice Boltzmann Method Code (1)
- Machine learning (1)
- Measure differential Inclusion (1)
- Mengenpartitionierungsproblem (1)
- Metal hydride storage (1)
- Moreau–Jean time stepping (1)
- Multirate Methods (1)
- Network approach (1)
- Neural networks (1)
- Non-linear optimization (1)
- Non-zero external field (1)
- Off-lattice Boltzmann (1)
- Optimisation of linear models (1)
- Order conditions (1)
- PDEs with Mixed Derivative Terms (1)
- Parabolic and hyperbolic systems in one dimension (1)
- Parameter identification (1)
- Partial Differential Equations (1)
- Partial differential-algebraic equations (1)
- Pytorch (1)
- ROW methods (1)
- Regressionsanalyse (1)
- River alarm systems (1)
- River flow simulation (1)
- Rodas5 (1)
- Rosenbrock methods (1)
- Rosenbrock–Wanner methods (1)
- Runge-Kutta methods (1)
- Second-order phase transition (1)
- Shallow-water equations (1)
- Simulations (1)
- Sinking fund calculation (1)
- Statistik Formeln (1)
- Stochastik (1)
- Studium (1)
- The Peren Theorem (1)
- Theory of Rooted Trees (1)
- Topological reduction (1)
- Tricritical point (1)
- Two-step W-methods (1)
- Unilateral Constraints (1)
- Unstructured grid (1)
- Visual Computing (1)
- WENO schemes (1)
- WENO-schemes (1)
- Wahrscheinlichkeitsrechnung (1)
- Water level forecast (1)
- Water supply networks (1)
- Water supply systems (1)
- beschreibende Statistik (1)
- integrale Statistik (1)
- schließende Statistik (1)
- statistische Anwendung (1)
Die vorliegende Arbeit beschäftigt sich mit der numerischen Behandlung Differential-Algebraischer Gleichungen (DAE" s). DAE" s treten beispielsweise bei der Modellierung der Dynamik mechanischer System, der Schaltkreissimulation sowie der chemischen Reaktionskinetik auf. Es werden Rosenbrock-Wanner ähnliche Verfahren zu deren Lösung hergeleitet und an technischen Modellen (Fahrzeugachse und Verstärker) getestet.
The numerical solution of implicit ordinary differential equations arising in vehicle dynamic
(1988)
Zur Perzentilberechnung
(1990)
Ein mathematisches Modell zur schiffahrtsbezogenen Wasserstandsvorhersage am Beispiel des Rheins
(1996)
Wissenschaftliches Rechnen
(1999)
Wissenschaftliches Rechnen
(1999)
A Method of Lines Flux-Difference Splitting Finite Volume Approach for 1D and 2D River Flow Problems
(2001)
For many practical problems an efficient solution of the one-dimensional shallow water equations (Saint-Venant equations) is important, especially when large networks of rivers, channels or pipes are considered. In order to test and develop numerical methods four test problems are formulated. These tests include the well known dam break and hydraulic jump problems and two steady state problems with varying channel bottom, channel width and friction.