RICAM Reports

C. Koutschan, E. Wong
Creative Telescoping on Multiple Sums
Report No. 2020-43
O. Roche-Newton, A. Warren
Counting k-arcs in $\mathbb F_q^ 2$
Report No. 2020-42
B. Hanson, O. Roche-Newton, M. Rudnev
Higher convexity and iterated sum sets
Report No. 2020-41
M. Makhul, O. Roche-Newton, S. Stevens, A. Warren
The Elekes-Szabó Problem and the Uniformity Conjecture
Report No. 2020-40
M. Rudnev, S. Stevens
An update on the sum-product problem
Report No. 2020-39
J.A. Iglesias
Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies
Report No. 2020-38
C. Hofreither
An algorithm for best rational approximation based on barycentric rational interpolation
Report No. 2020-37
A. Ebert, P. Kritzer, O. Osisiogu, T. Stepaniuk
Component-by-component digit-by-digit construction of good polynomial lattice rules in weighted Walsh spaces
Report No. 2020-36
P. Grohs, L. Herrmann
Deep neural network approximation for high-dimensional elliptic PDEs with boundary conditions
Report No. 2020-35
U. Langer, M. Zank
Efficient Direct Space-Time Finite Element Solvers for Parabolic Initial-Boundary Value Problems in Anisotropic Sobolev Spaces
Report No. 2020-34
S.S. Rodrigues
Oblique projection output-based feedback exponential stabilization of nonautonomous parabolic equations
Report No. 2020-33
J.A. Iglesias, G. Mercier
Convergence of level sets in TV denoising through variational curvatures in unbounded domains
Report No. 2020-32
R. Chill, H. Meinlschmidt, J. Rehberg
On the numerical range of second order elliptic operators with mixed boundary conditions in $L^p$
Report No. 2020-31
F. Scholz, B. Jüttler
High-order quadrature on planar domains based on transport theorems for implicitly defined moving curves
Report No. 2020-30
R. Schneckenleitner, S. Takacs
Convergence theory for IETI-DP solvers for discontinuous Galerkin Isogeometric Analysis that is explicit in $h$ and $p$
Report No. 2020-29
D. Jodlbauer, U. Langer, T. Wick
Parallel matrix-free higher-order finite element solvers for phase-field fracture problems
Report No. 2020-28
U. Langer, O. Steinbach, F. Tröltzsch, H. Yang
Space-time finite element discretization of parabolic optimal control problems with energy regularization
Report No. 2020-27
U. Langer, O. Steinbach, F. Tröltzsch, H. Yang
Unstructured space-time finite element methods for optimal control of parabolic equations
Report No. 2020-26
J. Grošelj, M. Kapl, M. Knez, T. Takacs, V. Vitrih
A super-smooth $C^1$ spline space over mixed triangle and quadrilateral meshes
Report No. 2020-25
J. Wiart, E. Wong
Walsh functions, scrambled $(0, m, s)$-nets, and negative covariance: applying symbolic computation to quasi-Monte Carlo integration
Report No. 2020-24
M. Kolmbauer, G. Offner, R.U. Pfau, B. Pöchtrager
Multirate DAE-Simulation and its Application in System Simulation Software for the Development of Electric Vehicles
Report No. 2020-23
M. Kolmbauer, G. Offner, B. Pöchtrager
Topological index analysis and its application to multi-physical systems in system simulation software
Report No. 2020-22
U. Langer, O. Steinbach, F. Tröltzsch, H. Yang
Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations
Report No. 2020-21
M. Kapl, G. Sangalli, T. Takacs
A family of $C^1$ quadrilateral finite elements
Report No. 2020-20
H. Meinlschmidt, J. Rehberg
Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations
Report No. 2020-19
B. Endtmayer, U. Langer, T. Wick
Reliability and efficiency of DWR-type a posteriori error estimates with smart sensitivity weight recovering
Report No. 2020-18
M.J. Schlosser, K. Senapati, A.K. Uncu
Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients
Report No. 2020-17
A.K. Uncu
A polynomial identity implying Schur’s partition theorem
Report No. 2020-16
A. Berkovich, A.K. Uncu
Where do the maximum absolute $q$-series coefficients of $(1-q)(1-q^2)(1-q^3)...(1-q^{n-1})(1-q^n)$ occur?
Report No. 2020-15
J. Ablinger, A.K. Uncu
qFunctions - A Mathematica package for $q$-series and partition theory applications
Report No. 2020-14
Y. Abdelaziz, S. Boukraa, C. Koutschan, J-M. Maillard
Diagonals of rational functions: from differential algebra to effective algebraic geometry
Report No. 2020-13
S.S. Rodrigues
Oblique projection exponential dynamical observer for nonautonomous linear parabolic-like equations
Report No. 2020-12
B. Azmi, S.S. Rodrigues
Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations
Report No. 2020-11
J.A. Iglesias, G. Mercier, E. Chaparian, I.A. Frigaard
Computing the Yield Limit in Three-dimensional Flows of a Yield Stress Fluid About a Settling Particle
Report No. 2020-10
M. Lopez-Martinez, G. Mercier, K. Sadiq, O. Scherzer, M. Schneider, J.C. Schotland, G.J. Schütz, R. Telschow
Inverse Problems of Single Molecule Localization Microscopy
Report No. 2020-09
H. Fujiwara, K. Sadiq, A. Tamasan
Numerical reconstruction of radiative sources in an absorbing and non-diffusing scattering medium in two dimensions
Report No. 2020-08
H. Du, J. Guo, Z. Li, E. Wong
An Additive Decomposition in Logarithmic Towers and Beyond
Report No. 2020-07
P. Kritzer, F. Pillichshammer, H. Wozniakowski
Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals
Report No. 2020-06
A. Warren
On Products of Shifts in Arbitrary Fields
Report No. 2020-05
P. Kritzer, F. Pillichshammer, G.W. Wasilkowski
On quasi-Monte Carlo methods in weighted ANOVA spaces
Report No. 2020-04
A.S. Serdyuk, T. Stepaniuk
Uniform approximations by Fourier sums on classes of convolutions of periodic functions
Report No. 2020-03
A. Ebert, P. Kritzer, D. Nuyens, O. Osisiogu
Digit-by-digit and component-by-component constructions of lattice rules for periodic functions with unknown smoothness
Report No. 2020-02
A. Beigl, J. Sogn, W. Zulehner
Robust preconditioners for multiple saddle point problems and applications to optimal control problems
Report No. 2020-01