Refine
Has Fulltext
- yes (197)
Is part of the Bibliography
- yes (197)
Year of publication
Document Type
- Doctoral Thesis (109)
- Journal article (72)
- Book (5)
- Other (3)
- Conference Proceeding (2)
- Master Thesis (2)
- Preprint (2)
- Book article / Book chapter (1)
- Review (1)
Language
- English (197) (remove)
Keywords
- Optimale Kontrolle (11)
- Optimierung (8)
- optimal control (8)
- Extremwertstatistik (7)
- Nash-Gleichgewicht (7)
- Newton-Verfahren (6)
- Mathematik (5)
- Nichtlineare Optimierung (5)
- Extremwerttheorie (4)
- Nichtglatte Optimierung (4)
- Pontryagin maximum principle (4)
- SAS <Programm> (4)
- SQH method (4)
- Stabilität (4)
- Zeitreihenanalyse (4)
- A-priori-Wissen (3)
- Copula (3)
- Differentialgeometrie (3)
- Differentialgleichung (3)
- Elliptische Differentialgleichung (3)
- Euler equations (3)
- Galerkin-Methode (3)
- Gaussian approximation (3)
- Konfidenzintervall (3)
- Ljapunov-Funktion (3)
- MPEC (3)
- Magnetoelastizität (3)
- Monodromie (3)
- Nichtkonvexe Optimierung (3)
- Pareto-Verteilung (3)
- Partielle Differentialgleichung (3)
- Spieltheorie (3)
- Variationsrechnung (3)
- Zetafunktion (3)
- count time series (3)
- extreme value theory (3)
- multi-fluid mixture (3)
- nonsmooth optimization (3)
- proximal gradient method (3)
- Anaphylaxis (2)
- Audit sampling (2)
- BGK approximation (2)
- Belyi map (2)
- Biholomorphe Abbildung (2)
- Binomialverteilung (2)
- Box-Jenkins-Verfahren (2)
- Box–Jenkins Program (2)
- Cayley graph (2)
- Code examples (2)
- Controllability (2)
- D-Norm (2)
- Darstellungsmatrix (2)
- Deformationsquantisierung (2)
- Dirichlet-Reihe (2)
- Eigenwert (2)
- Extreme Value Theory (2)
- Finanzmathematik (2)
- Finite-Elemente-Methode (2)
- Finite-Volumen-Methode (2)
- Fokker-Planck-Gleichung (2)
- Fokker–Planck equation (2)
- Frequency Domain (2)
- Galois-Theorie (2)
- Gamma-Konvergenz (2)
- Generalized Nash Equilibrium Problem (2)
- Gleichverteilung (2)
- Grundvorstellung (2)
- HIV (2)
- Homogener Raum (2)
- Hurwitz-Raum (2)
- Kohomologie (2)
- Kombinatorik (2)
- Kompakte Lie-Gruppe (2)
- Komplementaritätsproblem (2)
- Kontrolltheorie (2)
- Kopula <Mathematik> (2)
- Lie groups (2)
- Ljapunov-Stabilitätstheorie (2)
- Loewner theory (2)
- Loewner-Theorie (2)
- Lyapunov functions (2)
- Mathematische Modellierung (2)
- Mehrgitterverfahren (2)
- Mikromagnetismus (2)
- Newton Methods (2)
- Nichtlineare Kontrolltheorie (2)
- Nikaido-Isoda function (2)
- Numerical analysis (2)
- Numerisches Verfahren (2)
- Optimale Steuerung (2)
- PDE (2)
- Prediction interval (2)
- Prior information (2)
- Regressionsanalyse (2)
- Riemann zeta-function (2)
- Riemannsche Zetafunktion (2)
- SAS (2)
- Schlichte Funktion (2)
- Simulation (2)
- Stability (2)
- State-Space Models (2)
- Statistik (2)
- Stochastischer Prozess (2)
- Systemisches Risiko (2)
- Time Series Analysis (2)
- Time series analyses (2)
- Verallgemeinertes Nash-Gleichgewichtsproblem (2)
- Zahlentheorie (2)
- Zustandsraummodelle (2)
- augmented Lagrangian method (2)
- basic mental models (2)
- cardinality constraints (2)
- conservation laws (2)
- deformation quantization (2)
- estimation error (2)
- extreme value distribution (2)
- fast vollständig zerlegbare Gruppe (2)
- finite elements (2)
- generalized Pareto distribution (2)
- global convergence (2)
- jump-diffusion processes (2)
- kinetic model (2)
- mathematical modelling (2)
- mathematics (2)
- multigrid (2)
- nonlinear systems (2)
- numerical analysis (2)
- optimization (2)
- prime number (2)
- representing matrix (2)
- semismooth Newton method (2)
- stability (2)
- stability analysis (2)
- state constraints (2)
- stochastic processes (2)
- trabeculectomy (2)
- viral load (2)
- Überlagerung <Mathematik> (2)
- (0 (1)
- (approximate) functional equation (1)
- *-algebra (1)
- 1)-Matrix (1)
- 1)-matrix (1)
- 1655-1705> (1)
- 5-fluorouracil (1)
- ADMM (1)
- AIDS (1)
- Abbildungseigenschaften (1)
- Abelsche Gruppe (1)
- Abhängigkeitsmaß (1)
- Ableitung (1)
- Abstiegsverfahren (1)
- Abstoßungsphänomen (1)
- Acoustic equations (1)
- Adolf Hurwitz (1)
- Affine Skalierungsverfahren (1)
- Aggregation (1)
- Algebraic Curves (1)
- Algebraic signal processing (1)
- Algebraische Kurve (1)
- Algebraische Signalverarbeitung (1)
- Algebraische Zahlentheorie (1)
- Algebraischer Funktionenkörper (1)
- Analytische Zahlentheorie (1)
- Angewandte Geowissenschaften (1)
- Angular Density (1)
- Anpassungstest (1)
- Approximation (1)
- Arbitrary Lagrangian-Eulerian (1)
- Archimedean copula (1)
- Argumentation (1)
- Asymptotic Preserving (1)
- Asymptotic independence (1)
- Atmosphäre (1)
- Augmented Lagrangian (1)
- Augmented Lagrangian methods (1)
- Automorphismengruppe (1)
- Banach-Raum (1)
- Bayesian approach (1)
- Bayesian inverse problems (1)
- Beatty sequence (1)
- Bedingte Unabhängigkeit (1)
- Belyi-Funktionen (1)
- Beobachter (1)
- Bernoulli (1)
- Bernoulli Raum (1)
- Bernoulli Space (1)
- Bernstein-type inequality (1)
- Beweistheorie (1)
- Bi-Fidelity method (1)
- Bildrekonstruktion (1)
- Bilinear differential games (1)
- Black Scholes equation (1)
- Blinear Quantum Control Systems (1)
- Bloom setting (1)
- Box-Restriktionen (1)
- Bregman distance (1)
- Brittle fracture (1)
- Brockett (1)
- Brüder Hurwitz (1)
- Burgers-Gleichung (1)
- CSF (1)
- CSIDH (1)
- Calculus of Variations (1)
- Calculus of variations (1)
- Caputo fractional derivative (1)
- Carbon dioxide capture (1)
- Cardinality Constraints (1)
- Carleson embedding theorem (1)
- Cauchy-Born rule (1)
- Charakteranalyse (1)
- Code Examples (1)
- Coisotropic reduction (1)
- Complex Continued Fractions (1)
- Complex Fluids (1)
- Composite optimization problems (1)
- Compressed Sensing (1)
- Confidence interval (1)
- Confidence intervals (1)
- Conformal Metrics (1)
- Conjugate function (1)
- Conjugate gradient method (1)
- Conservation Laws (1)
- Constrained optimization (1)
- Constraint-Programmierung (1)
- Continuous Sample Path (1)
- Copula <Mathematik> (1)
- Counterparty Risk (1)
- Credibility interval (1)
- Curvature Equation (1)
- D-Norms (1)
- D-norm (1)
- DAT (1)
- DC optimization (1)
- DNA replication (1)
- Darstellung vonPseudo-Metriken (1)
- Data Exploration (1)
- Deformation (1)
- Deformationsgradient (1)
- Dichtefunktionalformalismus (1)
- Differential Games (1)
- Differentialgleichungssystem (1)
- Digitale Signalverarbeitung (1)
- Dimension reduction (1)
- Diophantine approximation (1)
- Discontinuous Galerkin method (1)
- Discrete to continuum (1)
- Discrete-to-continuum limits (1)
- Diskrepanz (1)
- Double sensitization (1)
- Drug allergy (1)
- Drug reaction (1)
- Dual gap function (1)
- Dualitätstheorie (1)
- Dynamic Geometry Environment (1)
- Dynamical Systems (1)
- Dynamical system (1)
- Dynamische Geometriesysteme (1)
- Dynamische Optimierung (1)
- Dynamisches System (1)
- E-Learning (1)
- EJMA-D-19-00287 (1)
- Eigenmode (1)
- Elastizität (1)
- Elliptic equations (1)
- Elliptische Kurve (1)
- Endliche Geometrie (1)
- Ensemble optimal control (1)
- Entropiebedingung (1)
- Entropielösung (1)
- Entropy admissibility condition (1)
- Epidemiologie (1)
- Epstein zeta-function (1)
- Epstein, Paul (1)
- Erhaltungsgleichungen (1)
- Estimation (1)
- Euler system (1)
- Eulersche Differentialgleichung (1)
- Euler–Bernoulli damped beam (1)
- Exact-controllability (1)
- Exceedance Stability (1)
- Existenz schwacher Lösungen (1)
- Existenz und Eindeutigkeit (1)
- Explicit Computation (1)
- Explizite Berechnung (1)
- Exponential smoothing (1)
- Exponential smoothing with covariates (1)
- Extremal–I–Verteilung (1)
- Extreme value copula (1)
- Extremwert (1)
- Extremwertregelung (1)
- Extremwertverteilung (1)
- Faltungscode (1)
- Fast vollständig zerlegbare Gruppe (1)
- Fermentation (1)
- Festkörper (1)
- Field sting (1)
- Financial Networks (1)
- Finanzielle Netzwerke (1)
- Finite Elemente (1)
- Finite support distributions (1)
- Firmwert (1)
- Fixpunktsatz (1)
- Fluid (1)
- Fluid-Partikel-Strömung (1)
- Fluid-Struktur-Wechselwirkung (1)
- Fluid-structure interaction (1)
- Fluidnetzwerk (1)
- Flüssigkeit (1)
- Flüssigkristall (1)
- Fokalmannigfaltigkeit (1)
- Fokker-Planck (1)
- Fokker-Planck optimality systems (1)
- Formoptimierung (1)
- Fragility Index (1)
- Fragilitätsindex (1)
- Freies Randwertproblem (1)
- Function Fields (1)
- Functional differential equations (1)
- Functions with Primitive (1)
- Funktion von beschränkter Variation (1)
- Funktionen mit Stammfunktion (1)
- Funktionenkörper (1)
- Funktionentheorie (1)
- GPD (1)
- GPD-Flow (1)
- Galois theory (1)
- Galois-Erweiterung (1)
- Galois-Feld (1)
- Galoistheorie (1)
- Gamma-convergence (1)
- Gasgemisch (1)
- Gebäude (1)
- Generalized Nash Equilibrium (1)
- Generalized Nash equilibrium (1)
- Generalized Pareto Distribution (1)
- Generalized Pareto copula (1)
- Geometric constraints (1)
- Geschaltete Systeme (1)
- Gesetz der kleinen Zahlen (1)
- Gestaltoptimierung (1)
- Gewöhnliche Differentialgleichung (1)
- Gewöhnliche Differentialgleichungen (1)
- Gleichmäßige Konvergenz (1)
- Gleichungssysteme (1)
- Globale Analysis (1)
- Goodness-of-Fit Test (1)
- Gram points (1)
- Gram’s law (1)
- Graph (1)
- Graph eigenvalues (1)
- Graph products (1)
- Graph spectrum (1)
- Graphnullity (1)
- Grassmann Manifold (1)
- Grassmann-Mannigfaltigkeit (1)
- Gravitationsfeld (1)
- Guignard CQ (1)
- Gumbel-Verteilung (1)
- HAND (1)
- HDL (1)
- HIV infections (1)
- Hamilton Systeme (1)
- Hamilton Sytstems (1)
- Hamilton-Jacobi-Differentialgleichung (1)
- Hautus test (1)
- Hecke L-functions (1)
- Hecke eigenforms (1)
- Hierarchische Matrix (1)
- Hilbert-Raum (1)
- Hilfe-System (1)
- Homicidal Chauffeur game (1)
- Homogenisierung <Mathematik> (1)
- Homologische Algebra (1)
- Honey bee (1)
- Hurwitz spaces (1)
- Hurwitz zeta function (1)
- Hybrid Dynamical Systems (1)
- Hybridsystem (1)
- Hydrodynamische Grenzwerte (1)
- Hymenoptera venom (1)
- Hyperbolic Partial Differential Equations (1)
- Hyperbolische Differentialgleichung (1)
- Hypertranscendence (1)
- Ignorance (1)
- Ignoranz (1)
- Image Registration (1)
- Immunotherapy (1)
- Incompressibility (1)
- Infinite Optimierung (1)
- Inkompressibilität (1)
- Innere-Punkte-Methode (1)
- Integral graph (1)
- Integralgleichung (1)
- Integrodifferentialgleichung (1)
- Interactive Help System (1)
- Interconnection (1)
- Invarianter Unterraum (1)
- Inverse Iteration (1)
- Inzidenzmatrix (1)
- Isomorphie (1)
- Isomorphieklasse (1)
- Isoparametrische Hyperfläche (1)
- Jacobi-Eigenwert-Verfahren (1)
- Jacobi-type eigenvalue methods (1)
- Jacobi-ähnliches Verfahren (1)
- Jacobsthal function (1)
- Jakob <Mathematiker (1)
- Julia line (1)
- Julius Hurwitz (1)
- Kanzow, C. Y. Cui, J.-S. Pang: “Modern Nonconvex Nondifferentiable Optimization” (1)
- Kapitalverflechtung (1)
- Kapitalverflechtungen (1)
- Karush-Kuhn-Tucker-Bedingungen (1)
- Keller–Segel model (1)
- Kettenbruch (1)
- Klassifikation (1)
- Kloosterman sum (1)
- Koenigs function (1)
- Kollinearität (1)
- Kombinatorische Optimierung (1)
- Kombinatorische Zahlentheorie (1)
- Komplexe Flüssigkeiten (1)
- Komprimierte Abtastung (1)
- Kondition <Mathematik> (1)
- Konforme Abbildungen (1)
- Konforme Metrik (1)
- Konjugierte-Gradienten-Methode (1)
- Konstruktionsmethoden (1)
- Kontinuitätsgleichung (1)
- Kontinuumsmechanik (1)
- Kontrollsystem (1)
- Konvergenz (1)
- Konvergenz bei quadratischem Eigenwertproblem (1)
- Konvexe Analysis (1)
- Korrekt gestelltes Problem (1)
- Korrelation (1)
- Krylow matrix (1)
- Kryptologie (1)
- Kurdyka--{\L}ojasiewicz property (1)
- Landau type theorem (1)
- Laplace approximation (1)
- Laser (1)
- Lasersimulation (1)
- Least Action Principle (1)
- Lennard-Jones-Potenzial (1)
- Lerch zeta function (1)
- Lie n-algebroids (1)
- Lie-Gruppe (1)
- Liegruppen (1)
- Lindblad-Kossakowski Master Equation (1)
- Lineare Regression (1)
- Linearer Operator (1)
- Lineares System (1)
- Liouville and transport equations (1)
- Local Lipschitz continuity (1)
- Local rings (1)
- Lyapunov Funktion (1)
- Lyapunov Stability (1)
- M-Stationär (1)
- M-stationarity (1)
- MHD (1)
- MIND estimator (1)
- MPCC (1)
- MPVC (1)
- MSC 11M35 (1)
- Machzahl (1)
- Magnetic Resonance Imaging (1)
- Magnetoelasticity (1)
- Magnetohydrodynamics (1)
- Magnetohydrodynamik (1)
- Magnetoviscoelastic Fluids (1)
- Magnetoviskoelastische Flüsse (1)
- Mapping Properties (1)
- Martensit (1)
- Master-Gleichung (1)
- Mastocytosis (1)
- Mathematical modeling (1)
- Mathematikunterricht (1)
- Mathematisches Modell (1)
- Matrixpolynom (1)
- Matrizenpolynom (1)
- Matrizenzerlegung (1)
- Maximum Dissipation Principle (1)
- Maße für Quantenverschränkung (1)
- Medical image reconstruction (1)
- Mehragentensystem (1)
- Mehrdimensionale Signalverarbeitung (1)
- Mehrgitter (1)
- Mehrskalenmodell (1)
- Metrologie (1)
- Minimizing movements (1)
- Minimum Information Probability Distribution (1)
- Minimum Information Wahrscheinlichkeitsverteilung (1)
- Mobiler Roboter (1)
- Modeling (1)
- Modellierung (1)
- Moment <Stochastik> (1)
- Monodromy (1)
- Monte Carlo Simulation (1)
- Moving mesh method (1)
- Multi-agent systems (1)
- Multivariate Generalized Pareto Distributions (1)
- Multivariate order statistics (1)
- Multivariate statistics (1)
- Multivariate verallgemeine Pareto-Verteilungen (1)
- Nash Equilibrium Problem (1)
- Nash equilibrium (1)
- Navier-Stokes equations (1)
- Navier-Stokes-Gleichung (1)
- Near-Isomorphie (1)
- Nematic Liquid Crystals (1)
- Nematische Flüssigkristalle (1)
- Newton method (1)
- Newton's method (1)
- Newton-Raphson Method (1)
- Newton-Raphson Verfahren (1)
- Newtonsches Kräftegleichgewicht (1)
- Newtonverfahren (1)
- Nichtglatte Analysis (1)
- Nichtlineare Funktionalgleichung (1)
- Nichtlinearer Operator (1)
- Nichtlineares System (1)
- Nikaido-Isoda Funktion (1)
- Niveaustufen des Beweises (1)
- Non-smooth optimal control (1)
- Non-steroidal anti-inflammatory drug (1)
- Nonlinear systems (1)
- Nonparametric Inference (1)
- Nonsmooth optimization (1)
- Nullstelle (1)
- Numerical Asset Valuation (1)
- Numerical Methods (1)
- Numerik (1)
- Numerische Mathematik (1)
- Numerische Strömungssimulation (1)
- Operatortheorie (1)
- Optimal Control (1)
- Optimal control problem (1)
- Optimierung / Nebenbedingung (1)
- Optimierung auf Mannigfaltigkeiten (1)
- Optimierungsproblem (1)
- Optimization on Lie Groups (1)
- Order Statistics (1)
- Overstatement models (1)
- PDEs (1)
- Parabolic equations (1)
- Parametric inference (1)
- Parametric optimization (1)
- Parametrische Optimierung (1)
- Parametrisierung (1)
- Partielle Differentialgleichungen (1)
- Peaks over Threshold (1)
- Periodic homogenization (1)
- Phasenumwandlung (1)
- Plasma (1)
- Poisson Gleichung (1)
- Poisson algebras (1)
- Poisson equation (1)
- Poisson-Prozess (1)
- Polyatomare Verbindungen (1)
- Polynomial matrices (1)
- Pontrjagin-Maximumprinzip (1)
- Pontryagin Maximum Principle (1)
- Pontryagin Maximum Prinzip (1)
- Pontryagins's maximum principle (1)
- Post-Quantum-Kryptografie (1)
- Prediction Procedure (1)
- Primzahl (1)
- Probability theory (1)
- Prognose (1)
- Projektive Ebene (1)
- Proof (1)
- Proving Level (1)
- Proximal Method (1)
- Proximal-Punkt-Verfahren (1)
- Präkonditionierung (1)
- Pseudo-allergy (1)
- Pseudometrik (1)
- Quadratischer Zahlkörper (1)
- Quantenmechanik (1)
- Quantenmechanisches System (1)
- Quantum control (1)
- Quasi-Variational Inequality (1)
- Quasi-Variationsungleichung (1)
- Quasi-variational inequalities (1)
- Quasiconformal automorphism (1)
- Quasikonforme Abbildung (1)
- Randomness (1)
- Rangstatistik (1)
- Razumikhin method (1)
- Reachability matrix (1)
- Registrierung <Bildverarbeitung> (1)
- Regularisation Methods (1)
- Regularisierung (1)
- Regularisierungsverfahren (1)
- Regularized gap function (1)
- Regulator (1)
- Regulator <Mathematik> (1)
- Rekord (1)
- Relapse (1)
- Relaxation method (1)
- Restklasse (1)
- Rezension (1)
- Ridge-Regression (1)
- Riemann Hypothesis (1)
- Riemann hypothesis (1)
- Riemannian manifolds (1)
- Riemannian optimization (1)
- Riemannsche Geometrie (1)
- Riemannsche Mannigfaltigkeiten (1)
- Riemannsche Optimierung (1)
- Risikomanagement (1)
- Risk factor (1)
- Rothe method (1)
- Runge-type Theorems (1)
- STEM classroom (1)
- STEM education (1)
- STEM integration (1)
- Scheme for solving optimal control problems (1)
- Schnelle Fourier-Transformation (1)
- Schur ring (1)
- Schwache Kompaktheit (1)
- Schwache Lösungen (1)
- Selberg Class (1)
- Selberg Klasse (1)
- Selbergsche L-Reihe (1)
- Semismooth Newton Method (1)
- Sequential Quadratic Hamiltonian scheme (1)
- Sequential quadratic Hamiltonian scheme (1)
- Set-valued mapping (1)
- Shape Optimization (1)
- Skalierungsfunktion (1)
- Small-Gain Theorem (1)
- Softwareentwicklung (1)
- Sparsity (1)
- Sphäre (1)
- Spin systems (1)
- Spinsystem (1)
- Stabilitätsanalyse (1)
- Starke Kopplung (1)
- Steuerbarkeit (1)
- Stochastic Algorithms (1)
- Stochastic Process (1)
- Stochastic homogenization (1)
- Stochastik (1)
- Stochastische Optimierung (1)
- Stochastisches System (1)
- Structrual Model (1)
- Struktur (1)
- Strömung (1)
- Symmetrische Konfiguration (1)
- Symplektische Geometrie (1)
- System von partiellen Differentialgleichungen (1)
- Systemhalbgruppen (1)
- Systemic Risk (1)
- Systemsemigroups (1)
- T3s (1)
- TD Kohn-Sham equations (1)
- TDDFT (1)
- Tail-behavior (1)
- Testinstrument (1)
- Topologieoptimierung (1)
- Torsion-free abelian groups (1)
- Torsionsfreie Abelsche Gruppe (1)
- Torsionsfreie abelsche Gruppe (1)
- Total Variation (1)
- Totale Variation (1)
- Toulmin Modell (1)
- Transitive Lie Groups (1)
- Transportkoeffizient (1)
- Treatment failure (1)
- Uncertainty (1)
- Uniform distribution modulo one (1)
- Uniform topology (1)
- Universal Functions (1)
- Universality (1)
- Universalität (1)
- Unsicherheit (1)
- Untergruppe (1)
- Unternehmensbewertung (1)
- Unterraumsuche (1)
- Unterräume (1)
- Value at Risk (1)
- Value ranges (1)
- Vandermonde matrix (1)
- Variationsungleichung (1)
- Verfahren der konjugierten Gradienten (1)
- Vespula (1)
- Von Mises conditions (1)
- Vorhersagbarkeit (1)
- Vorhersagetheorie (1)
- Vorhersageverfahren (1)
- Vorkonditionierer (1)
- Wahrscheinlichkeitsrechnung (1)
- Wahrscheinlichkeitstheorie (1)
- Wahrscheinlichkeitsverteilung (1)
- Warteschlangennetz (1)
- Weak Solutions (1)
- Weibull distribution (1)
- Weibull type density (1)
- Weibull-Verteilung (1)
- Wein (1)
- Well-Balanced (1)
- Well-posedness (1)
- Wettbewerbsdesign (1)
- ZRP (1)
- Zeitdiskrete Approximation (1)
- Zeitoptimale Regelung (1)
- Zero Range Prozess (1)
- Zero-divisor graph (1)
- Zero-divisor graphs (1)
- Zero-inflation (1)
- Zeta-Functions (1)
- Zeta-function (1)
- Zufall (1)
- Zwei-Ebenen-Optimierung (1)
- a-point distribution (1)
- a-posteriori error estimates (1)
- abelian groups (1)
- adaptive intervention competence (1)
- adaptive refinement (1)
- adjoint and coadjoint representations (1)
- affine scaling methods (1)
- algebraic aggregation (1)
- algebraic degree (1)
- algebraic function field (1)
- algebraische Aggregation (1)
- almost completely decomosable group (1)
- almost completely decomposable group (1)
- almost completely decomposable groups (1)
- approaches in textbooks (1)
- asthma (1)
- asymptotic analysis (1)
- asymptotic sufficiency (1)
- asymptotically flat ends (1)
- atomistic models (1)
- augmented Lagrange method (1)
- augmented Lagrangian (1)
- avoidance (1)
- backward orbit (1)
- basic mental model (1)
- bevacizumab (1)
- bi-steerable robot (1)
- bias (1)
- bicommutators (1)
- black box (1)
- bleb failure (1)
- bleb scarring (1)
- blood (1)
- body weight (1)
- bound constraints (1)
- bounded input bounded output stability (1)
- buildings (1)
- canal surgery (1)
- canaloplasty (1)
- cancer (1)
- cataract surgery (1)
- chlamydia (1)
- chlamydia infection (1)
- chlamydia trachomatis (1)
- chordal Loewner equation (1)
- circular arc polygon domain (1)
- circumferential viscodilation (1)
- co-extremality coefficient (1)
- coherent forecasting (1)
- cohomology (1)
- collinearity (1)
- companion matrix (1)
- complementary problems (1)
- complex polynomials (1)
- composite optimization (1)
- composition of functions (1)
- compressible fluid (1)
- computational biology and bioinformatics (1)
- condenser capacity (1)
- conecontinuity type constraint qualification (1)
- conewise linear systems (1)
- confidence interval (1)
- conformal mapping (1)
- conformal pseudo-metrics (1)
- conservation law (1)
- continuum limit (1)
- convergence (1)
- convergence for quadratic eigenvalue problems (1)
- convergent star product (1)
- converse Lyapunov theorems (1)
- convolutional code (1)
- copula (1)
- coverings (1)
- critical line (1)
- cross-ownership (1)
- cubic-monoclinic martensites (1)
- cyclic matrix (1)
- degrees of freedom in internal energy (1)
- derivative (1)
- design (1)
- diagnosis (1)
- differential games (1)
- differential graded modules (1)
- differential nash games (1)
- diffuse interface models (1)
- digital technologies (1)
- digital tools (1)
- discrete systems (1)
- discrete-time systems (1)
- discrete-to-continuum (1)
- distribution modulo one (1)
- dopamine (1)
- drug adherence (1)
- dyadic product BMO (1)
- echocardiography (1)
- eigenmode (1)
- elliptic PDE (1)
- elliptic curves (1)
- elliptic problems (1)
- empirical evidence (1)
- empirical investigation (1)
- enatnglement measure (1)
- ensemble optimal control problems (1)
- ensemble reachability (1)
- entropy inequality (1)
- entropy minimization (1)
- epidemiology (1)
- equivariant cohomology (1)
- ergodic transformation (1)
- error estimate (1)
- erstes Randwertproblem in PDE (1)
- examples and counterexamples (1)
- exceedance counts (1)
- exchangeable D-norms (1)
- existence of solutions (1)
- expected shortfall (1)
- expectiles (1)
- explicit discontinuous Galerkin (1)
- exponent pairs (1)
- exponential growth (1)
- extremal coefficient (1)
- extremal exchangeable D-norms (1)
- extreme order statistics (1)
- extremum seeking control (1)
- financial network (1)
- finanzielles Netzwerk (1)
- finite differences (1)
- finite fields (1)
- finite groups (1)
- finite projective plane (1)
- finite volume method (1)
- finite volume methods (1)
- firm valuation (1)
- first boundary value problem in PDE (1)
- flexible microcatheter (1)
- fluid networks (1)
- fluid–structure interaction model (1)
- foliation (1)
- fracture (1)
- fredholm operator (1)
- freies Randwertproblem (1)
- function identification (1)
- functional D-norm (1)
- functional thinking (1)
- galois extensions (1)
- gamma-convergence (1)
- generalized quadrangles (1)
- generator of D-norm (1)
- geometric control (1)
- geometrically linear elasticity (1)
- geometrisch lineare Elastizitätstheorie (1)
- geometrische Kontrolltheorie (1)
- gewichtete Gleichverteilung modulo eins (1)
- glaucoma (1)
- glaucoma surgery (1)
- global attractor (1)
- globale Konvergenz (1)
- gradient-like systems (1)
- gradientenähnliche Systeme (1)
- green energy (1)
- growth models (1)
- halbeinfache Lie Algebren (1)
- harmonic measure (1)
- hierarchical matrix (1)
- higher order methods (1)
- highly-active antiretroviral therapy (1)
- homogene Raüme (1)
- homogeneous spaces (1)
- homogenization (1)
- homogenous parameter-depedent systems (1)
- hydrodynamic limits (1)
- hyperbolic area (1)
- hyperbolic systems (1)
- image denoising (1)
- imaginary quadratic field (1)
- immune activation (1)
- impulsive systems (1)
- incidence matrix (1)
- infinite dimensional optimization (1)
- infinite-dimensional systems (1)
- input-to-state stability (1)
- integral (1)
- integral graph (1)
- intermediate order statistics (1)
- inverse Iteration (1)
- inverse problems (1)
- isogeny-based cryptography (1)
- isomorph (1)
- isomorphic (1)
- isomorpism (1)
- kinetic chemotaxis equation (1)
- kinetic description of gases (1)
- konforme Pseudo-Metriken (1)
- kubisch-monokliner Phasenübergang (1)
- large-scale (1)
- large-time behaviour (1)
- laser simulation (1)
- linear system (1)
- literature review (1)
- local asymptotic normality (1)
- local classes (1)
- local existence (1)
- local input-to-state stability (1)
- lonlinear reaction-diffusion equations (1)
- low Mach number (1)
- lyapunov methods (1)
- macrophages (1)
- magnetic fluids (1)
- mathematical biology (1)
- mathematics classrooms (1)
- matrix decomposition (1)
- max-linear model (1)
- max-stable process (1)
- mid quantiles (1)
- mitomycin C (1)
- monodromy groups (1)
- months follow-up (1)
- morbid obesity (1)
- multigrid schemes (1)
- multiply connected domain (1)
- multiscale methods (1)
- multiscale modeling (1)
- multivariate Extreme Value Distribution (1)
- multivariate Gaussian distribution (1)
- multivariate exceedance (1)
- multivariate extreme value theory (1)
- multivariate generalized Pareto distribution (1)
- multivariate max-domain of attraction (1)
- multivariate statistical process control (SPC) (1)
- mutually permutable (1)
- near-isomorph (1)
- near-isomorphic (1)
- near-isomorphism (1)
- nichtglatt (1)
- nichtglatte Newton-artige Verfahren (1)
- nichtholonomes System (1)
- nichtlineare & gemischte Komplementaritätsprobleme (1)
- nichtlineare Optimierung (1)
- non-Lipschitz optimization (1)
- non-convex optimal control problems (1)
- non-smooth and non-convex optimization (1)
- non-smooth large-scale optimisation (1)
- non-smooth optimal control problems (1)
- non-smooth optimization (1)
- nonconvex optimization (1)
- nonderogatory matrix (1)
- nonholonomic system (1)
- nonlinear and mixed complementarity problems (1)
- nonlinear inverse problems (1)
- nonlinear least squares reformulation (1)
- nonlinear optimization (1)
- numerical approximations (1)
- numerical finance (1)
- numerical methods (1)
- obesity (1)
- observer (1)
- open-angle glaucoma (1)
- operative principle (1)
- optimal control problem (1)
- optimal control problems (1)
- optimal control theory (1)
- optimal solution mapping (1)
- optimization on manifolds (1)
- order of growth (1)
- ordinary differential equations (1)
- over-determined problem (1)
- p-soluble groups (1)
- p-supersolubility (1)
- parametrization (1)
- partial differential equation (1)
- partial differetial equations (1)
- partial integro-differential Fokker-Planck Equation (1)
- partial integro-differential equations (1)
- pedagogical content knowledge (1)
- pedestrian motion (1)
- petal (1)
- phacocanaloplasty (1)
- phacotrabeculectomy (1)
- phase I (1)
- phase II (1)
- plasma modelling (1)
- plasma physics (1)
- polyatomic molecules (1)
- polymerase chain reaction (1)
- polymorphism (1)
- polynomial chaos (1)
- pontryagin maximum principle (1)
- preconditioning (1)
- prediction interval (1)
- predictive performance (1)
- proximal Newton method (1)
- proximal method (1)
- proximal methods (1)
- pulmonary function (1)
- pulmonary hypertension (1)
- quadratic convergence (1)
- quadratic number field (1)
- quadratische Konvergenz (1)
- quantile forecasts (1)
- quasi-continuum (1)
- quasinormality constraint qualification (1)
- queueing networks (1)
- radial Loewner equation (1)
- random walk (1)
- reaction-diffusion (1)
- reduced residues (1)
- regression (1)
- regularization (1)
- regulating (1)
- regulator (1)
- regulierend (1)
- relaxation method (1)
- repelling phenomenon (1)
- representation of pseudo-metrics (1)
- representations up to homotopy (1)
- ridge regression (1)
- robustness (1)
- role of mathematics in STEM (1)
- secondary education (1)
- semi-convex hulls (1)
- semi-konvexe Hüllen (1)
- semigroup of holomorphic functions (1)
- semilinear elliptic operators (1)
- semisimple Lie algebras (1)
- semismooth (1)
- semismooth Newton-type methods (1)
- sequential optimality condition (1)
- sequential quadratic hamiltonian method (1)
- series (1)
- simulation (1)
- singularly perturbed problem (1)
- singulär gestörtes Problem (1)
- sparse control problems (1)
- special sweeps (1)
- spezielle Sweep-Methoden (1)
- star products (1)
- stationarity (1)
- stochastischer Prozess (1)
- structural model (1)
- structure (1)
- structured normal form problem (1)
- strukturierte Normalformprobleme (1)
- subspace clustering (1)
- subspaces (1)
- successive approximations strategy (1)
- sufficient optimality conditions (1)
- surgical outcomes (1)
- switched systems (1)
- symmetric configuration (1)
- symplectic geometry (1)
- systemic risk (1)
- systems biology (1)
- tail conditional expectation (1)
- tail dependence (1)
- task design (1)
- teacher education (1)
- technology (1)
- tensor rank (1)
- test instrument (1)
- therapy (1)
- tight (1)
- time-optimal control (1)
- time-varying (1)
- time‐varying delay (1)
- total variation (1)
- transport coefficients (1)
- typically real functions (1)
- uncertain volatility (1)
- uncertainty quantification (1)
- univalent functions (1)
- universality (1)
- value at risk (1)
- value-distribution (1)
- variational estimation (1)
- variational fracture (1)
- velocity jump process (1)
- velocity-dependent collision frequency (1)
- verallgemeinerte Vierecke (1)
- viral replication (1)
- vorticity preserving (1)
- weight loss (1)
- weighted uniform distribution modulo one (1)
- well posedness (1)
- well-balancing (1)
- wine fermentation (1)
- zeitoptimale Steuerung (1)
- zero-finding (1)
- zeta-functions (1)
- zweiachsgelenkter Roboter (1)
- Überschreitungen (1)
- Überschreitungsanzahl (1)
- Čebyšev-Polynome (1)
Institute
- Institut für Mathematik (197) (remove)
Sonstige beteiligte Institutionen
ResearcherID
- C-2593-2016 (1)
EU-Project number / Contract (GA) number
- 304617 (2)
We analyze the mathematical models of two classes of physical phenomena. The first class of phenomena we consider is the interaction between one or more insulating rigid bodies and an electrically conducting fluid, inside of which the bodies are contained, as well as the electromagnetic fields trespassing both of the materials. We take into account both the cases of incompressible and compressible fluids. In both cases our main result yields the existence of weak solutions to the associated system of partial differential equations, respectively. The proofs of these results are built upon hybrid discrete-continuous approximation schemes: Parts of the systems are discretized with respect to time in order to deal with the solution-dependent test functions in the induction equation. The remaining parts are treated as continuous equations on the small intervals between consecutive discrete time points, allowing us to employ techniques which do not transfer to the discretized setting. Moreover, the solution-dependent test functions in the momentum equation are handled via the use of classical penalization methods.
The second class of phenomena we consider is the evolution of a magnetoelastic material. Here too, our main result proves the existence of weak solutions to the corresponding system of partial differential equations. Its proof is based on De Giorgi's minimizing movements method, in which the system is discretized in time and, at each discrete time point, a minimization problem is solved, the associated Euler-Lagrange equations of which constitute a suitable approximation of the original equation of motion and magnetic force balance. The construction of such a minimization problem is made possible by the realization that, already on the continuous level, both of these equations can be written in terms of the same energy and dissipation potentials. The functional for the discrete minimization problem can then be constructed on the basis of these potentials.
The goal of this thesis is to study the topological and algebraic properties of the quasiconformal automorphism groups of simply and multiply connected domains in the complex plain, in which the quasiconformal automorphism groups are endowed with the supremum metric on the underlying domain. More precisely, questions concerning central topological properties such as (local) compactness, (path)-connectedness and separability and their dependence on the boundary of the corresponding domains are studied, as well as completeness with respect to the supremum metric. Moreover, special subsets of the quasiconformal automorphism group of the unit disk are investigated, and concrete quasiconformal automorphisms are constructed. Finally, a possible application of quasiconformal unit disk automorphisms to symmetric cryptography is presented, in which a quasiconformal cryptosystem is defined and studied.
To study coisotropic reduction in the context of deformation quantization we introduce constraint manifolds and constraint algebras as the basic objects encoding the additional information needed to define a reduction. General properties of various categories of constraint objects and their compatiblity with reduction are examined. A constraint Serre-Swan theorem, identifying constraint vector bundles with certain finitely generated projective constraint modules, as well as a constraint symbol calculus are proved. After developing the general deformation theory of constraint algebras, including constraint Hochschild cohomology and constraint differential graded Lie algebras, the second constraint Hochschild cohomology for the constraint algebra of functions on a constraint flat space is computed.
This thesis, first, is devoted to the theoretical and numerical investigation of an augmented Lagrangian method for the solution of optimization problems with geometric constraints, subsequently, as well as constrained structured optimization problems featuring a composite objective function and set-membership constraints. It is then concerned to convergence and rate-of-convergence analysis of proximal gradient methods for the composite optimization problems in the presence of the Kurdyka--{\L}ojasiewicz property without global Lipschitz assumption.
We generalize a theorem by Titchmarsh about the mean value of Hardy’s \(Z\)-function at the Gram points to the Hecke \(L\)-functions, which in turn implies the weak Gram law for them. Instead of proceeding analogously to Titchmarsh with an approximate functional equation we employ a different method using contour integration.
For a graph \(\Gamma\) , let K be the smallest field containing all eigenvalues of the adjacency matrix of \(\Gamma\) . The algebraic degree \(\deg (\Gamma )\) is the extension degree \([K:\mathbb {Q}]\). In this paper, we completely determine the algebraic degrees of Cayley graphs over abelian groups and dihedral groups.
The concept of derivative is characterised with reference to four basic mental models. These are described as theoretical constructs based on theoretical considerations. The four basic mental models—local rate of change, tangent slope, local linearity and amplification factor—are not only quantified empirically but are also validated. To this end, a test instrument for measuring students’ characteristics of basic mental models is presented and analysed regarding quality criteria.
Mathematics students (n = 266) were tested with this instrument. The test results show that the four basic mental models of the derivative can be reconstructed among the students with different characteristics. The tangent slope has the highest agreement values across all tasks. The agreement on explanations based on the basic mental model of rate of change is not as strongly established among students as one would expect due to framework settings in the school system by means of curricula and educational standards. The basic mental model of local linearity plays a rather subordinate role. The amplification factor achieves the lowest agreement values. In addition, cluster analysis was conducted to identify different subgroups of the student population. Moreover, the test results can be attributed to characteristics of the task types as well as to the students’ previous experiences from mathematics classes by means of qualitative interpretation. These and other results of students’ basic mental models of the derivative are presented and discussed in detail.
Mathematical concepts are regularly used in media reports concerning the Covid-19 pandemic. These include growth models, which attempt to explain or predict the effectiveness of interventions and developments, as well as the reproductive factor. Our contribution has the aim of showing that basic mental models about exponential growth are important for understanding media reports of Covid-19. Furthermore, we highlight how the coronavirus pandemic can be used as a context in mathematics classrooms to help students understand that they can and should question media reports on their own, using their mathematical knowledge. Therefore, we first present the role of mathematical modelling in achieving these goals in general. The same relevance applies to the necessary basic mental models of exponential growth. Following this description, based on three topics, namely, investigating the type of growth, questioning given course models, and determining exponential factors at different times, we show how the presented theoretical aspects manifest themselves in teaching examples when students are given the task of reflecting critically on existing media reports. Finally, the value of the three topics regarding the intended goals is discussed and conclusions concerning the possibilities and limits of their use in schools are drawn.
We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t\(^{13/84+ϵ}\) as t → ∞. For both, the Riemann zeta function as well as for the more general Lerch zeta function, it is conjectured that the right-hand side can be replaced by t\(^ϵ\) (which is the so-called Lindelöf hypothesis). The growth of an analytic function is closely related to the distribution of its zeros.
For a connected real Lie group G we consider the canonical standard-ordered star product arising from the canonical global symbol calculus based on the half-commutator connection of G. This star product trivially converges on polynomial functions on T\(^*\)G thanks to its homogeneity. We define a nuclear Fréchet algebra of certain analytic functions on T\(^*\)G, for which the standard-ordered star product is shown to be a well-defined continuous multiplication, depending holomorphically on the deformation parameter \(\hbar\). This nuclear Fréchet algebra is realized as the completed (projective) tensor product of a nuclear Fréchet algebra of entire functions on G with an appropriate nuclear Fréchet algebra of functions on \({\mathfrak {g}}^*\). The passage to the Weyl-ordered star product, i.e. the Gutt star product on T\(^*\)G, is shown to preserve this function space, yielding the continuity of the Gutt star product with holomorphic dependence on \(\hbar\).