A5047150999- Mathematical Analysis and Transform Methods
- Image and Signal Denoising Methods
- Advanced Mathematical Modeling in Engineering
- Numerical methods in inverse problems
- Advanced Harmonic Analysis Research
- Seismic Imaging and Inversion Techniques
- Advanced Numerical Analysis Techniques
- Advanced Numerical Methods in Computational Mathematics
- Advanced Mathematical Physics Problems
- Stochastic processes and financial applications
- Medical Imaging Techniques and Applications
- Differential Equations and Boundary Problems
- Navier-Stokes equation solutions
- Algebraic and Geometric Analysis
- Sparse and Compressive Sensing Techniques
- Advanced Algebra and Geometry
- Mathematical Approximation and Integration
- Digital Filter Design and Implementation
- Stability and Controllability of Differential Equations
- Numerical methods in engineering
- advanced mathematical theories
- Hydrocarbon exploration and reservoir analysis
- Bacterial Genetics and Biotechnology
- Reservoir Engineering and Simulation Methods
- Digital Image Processing Techniques
Philipps University of Marburg
2015-2024
University of Genoa
2020
Neubrandenburg University of Applied Sciences
2020
Technische Universität Berlin
2020
University of Münster
2019
Justus-Liebig-Universität Gießen
2019
Technical University of Darmstadt
2019
Senckenberg Biodiversity and Climate Research Centre
2019
Senckenberg Society for Nature Research
2019
Loewe Center for Synthetic Microbiology
2017
Finding optimal representations of signals in higher dimensions, particular directional representations, is currently the subject intensive research. Since classical wavelet transform does not provide precise information sense resolving wavefront set, several new representation systems were proposed past, including ridgelets, curvelets and, more recently, Shearlets. In this paper we study and visualize continuous Shearlet transform. Moreover, aim at deriving mother functions which ensure...
Click to increase image sizeClick decrease sizeKeywords: Besov spaceselliptic boundaryvalue problemspotential theoryadaptive methodsnonlinear approximationwavelets
Recently an adaptive wavelet scheme could be proved to asymptotically optimal for a wide class of elliptic operator equations in the sense that error achieved by approximate solution behaves like smallest possible can realized any linear combination corresponding number wavelets. On one hand, results are purely asymptotic. other analysis suggests new algorithmic ingredients which no prototypes seem exist yet. It is therefore objective this paper develop suitable data structures components...
Abstract In this paper, we construct a multiresolution analysis and wavelet basis on two specific compact manifolds. Using special charts, the problem is reduced to finding appropriate nested spaces rectangular domains. The claim of C 1-continuity gives rise certain boundary conditions rectangles. To satisfy these conditions, use tensor product approach in which one factor an exponential spline. Keywords: Multiresolution analysiswaveletstensor splinesexponential splinessurfaces...
Journal Article Adaptive frame methods for elliptic operator equations: the steepest descent approach Get access Stephan Dahlke, Dahlke † FB 12 Mathematik und Informatik, Philipps-Universität Marburg, Hans-Meerwein Straße, Lahnberge, D-35032 Germany †Email: dahlke@mathematik.uni-marburg.de Search other works by this author on: Oxford Academic Google Scholar Thorsten Raasch, Raasch Manuel Werner, Werner Massimo Fornasier, Fornasier Dipartimento di Metodi e Modelli Matematici per le Scienze...
DnaA is a conserved key regulator of replication initiation in bacteria, and homologous to ORC proteins archaea eukaryotic cells. The ATPase binds several high affinity binding sites at the origin region upon an unknown molecular trigger, spreads adjacent sites, inducing formation helical super structure leading replication. Using FRAP analysis functional YFP-DnaA allele Bacillus subtilis, we show that bound oriC with half-time 2.5 seconds. shows similarly turnover machinery, where DNA...
In this paper an adaptive wavelet scheme for saddle point problems is developed and analyzed. Under the assumption that underlying continuous problem satisfies inf-sup condition, it shown in first part under which circumstances exhibits asymptotically optimal complexity. This means within a certain range convergence rate relates achieved accuracy to number of involved degrees freedom same as error best N-term approximation solution with respect relevant norms. Moreover, computational work...
Abstract Ecosystem functions and services are severely threatened by unprecedented global loss in biodiversity. To counteract these trends, it is essential to develop systems monitor changes biodiversity for planning, evaluating, implementing conservation mitigation actions. However, the implementation of monitoring suffers from a trade‐off between grain (i.e., level detail), extent number study sites), temporal repetition. Here, we present an applied realized networked sensor system...
We study the spatial regularity of semilinear parabolic stochastic partial differential equations on bounded Lipschitz domains 𝒪⊆ ℝ d in scale , 1/τ=α/d+1/p, p≥2 fixed. The Besov smoothness this determines order convergence that can be achieved by adaptive numerical algorithms and other nonlinear approximation schemes. proofs are performed establishing weighted Sobolev estimates combining them with wavelet characterizations spaces.
ABSTRACT Automatic feature detection from seismic data is a demanding task in today's interpretation workstations. Channels are among important stratigraphic features both due to their reservoir capability or drilling hazard potential. Shearlet transform as multi‐scale and multi‐directional transformation capable of detecting anisotropic singularities two higher dimensional data. occur edges data, which can be detected based on maximizing the shearlet coefficients through all sub‐volumes at...