2020

M. Makhul, O. Roche-Newton, S. Stevens, A. Warren

The Elekes-Szabó Problem and the Uniformity Conjecture

Report No. 2020-40

The Elekes-Szabó Problem and the Uniformity Conjecture

Report No. 2020-40

J.A. Iglesias

Symmetry and scaling limits for matching of implicit surfaces based on thin shell energies

Report No. 2020-38

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Unstructured Space-Time Finite Element Methods for Optimal Sparse Control of Parabolic Equations

Report No. 2020-21

H. Meinlschmidt, J. Rehberg

Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations

Report No. 2020-19

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

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

Log-concavity results for a biparametric and an elliptic extension of the $q$-binomial coefficients

Report No. 2020-17

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

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

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

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

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

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

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

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

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

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

Exponential tractability of linear weighted tensor product problems in the worst-case setting for arbitrary linear functionals

Report No. 2020-06

P. Kritzer, F. Pillichshammer, G.W. Wasilkowski

On quasi-Monte Carlo methods in weighted ANOVA spaces

Report No. 2020-04

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

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

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

Robust preconditioners for multiple saddle point problems and applications to optimal control problems

Report No. 2020-01