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Papers matching “parabolic equations” 30

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A space-time adaptive low-rank method for high-dimensional parabolic partial differential equations
2024 Journal of Complexity article Mathematics Mathematical Approximation and Integration Open access

Markus Bachmayr, Manfred Faldum

2

citations
Reduced basis model predictive control for semilinear parabolic partial differential equations
2025 Optimization methods & software article Engineering Advanced Control Systems Optimization Open access

Saskia Dietze, Martin Grepl

0

citations
Reduced Order Model Predictive Control for Parametrized Parabolic Partial Differential Equations
2021 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Saskia Dietze, Martin Grepl

0

citations
Well-Posedness and Stability for a Class of Fourth-Order Nonlinear Parabolic Equations
2023 SSRN Electronic Journal preprint Mathematics Nonlinear Partial Differential Equations Open access

Xinye Li, Christof Melcher

0

citations
A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a $ \mathcal{C}^2 $ boundary
2023 Discrete and Continuous Dynamical Systems - B article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Julian Clausnitzer, Andreas Kleefeld

0

citations
A spectral Galerkin exponential Euler time-stepping scheme for parabolic SPDEs on two-dimensional domains with a C2-boundary
2023 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Julian Clausnitzer, Andreas Kleefeld

0

citations
Global solution for a system of semilinear diffusion-reaction equations with distinct diffusion coefficients
2024 Electronic journal of qualitative theory of differential equations article Mathematics Nonlinear Partial Differential Equations Open access

Michael C. Böhm, Nibedita Ghosh, Hari Shankar Mahato

0

citations
Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations
2023 arXiv (Cornell University) preprint Mathematics Tensor decomposition and applications Open access

Markus Bachmayr, Henrik Eisenmann, André Uschmajew

1

citations
Dynamical low-rank tensor approximations to high-dimensional parabolic problems: existence and convergence of spatial discretizations
2025 Numerische Mathematik article Mathematics Tensor decomposition and applications Open access

Markus Bachmayr, Henrik Eisenmann, André Uschmajew

1

citations
Simulation of THz Oscillations in Semiconductor Devices Based on Balance Equations
2020 Journal of Scientific Computing article Engineering Computational Fluid Dynamics and Aerodynamics Open access

Tobias Linn, Kai Bittner, Hans Georg Brachtendorf, Christoph Jungemann

5

citations
Dissipative cascaded multistep backward stochastic differential equation (BSDE) with polynomial growth
2026 Communications in Nonlinear Science and Numerical Simulation article Economics, Econometrics and Finance Stochastic processes and financial applications Open access

Dong Feng

5

citations
Renormalized Invariant Manifolds
2026 arXiv (Cornell University) preprint Engineering Stability and Controllability of Differential Equations Open access

Christian Kuehn, Jan-Eric Sulzbach

0

citations
Approximation of a compound-exchanging cell by a Dirac point
2025 IFAC-PapersOnLine article Mathematics Differential Equations and Boundary Problems Open access

Xiao Kuan Yang, Qiyao Peng, Sander C. Hille

2

citations
Eine Klasse von Gradientenflüssen von Differentialformen in negativen homogenen Sobolevräumen
2021 RWTH Publications (RWTH Aachen) dissertation Mathematics Geometric Analysis and Curvature Flows Open access

Marco Doemeland

0

citations
A reduced basis ensemble Kalman method
2023 GEM - International Journal on Geomathematics article Physics and Astronomy Model Reduction and Neural Networks Open access

Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl, Karen Veroy

9

citations
A Reduced Basis Ensemble Kalman Method
2022 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Francesco A. B. Silva, Cecilia Pagliantini, Martin Grepl, Karen Veroy

0

citations
Saddle Point Configurations for Spherical Ferromagnets
2025 RWTH Publications (RWTH Aachen) preprint Mathematics Geometric Analysis and Curvature Flows Open access

Stephen J. Gustafson, D. Meinert, Christof Melcher

0

citations
Discretization error analysis for a radially symmetric harmonic map heat flow problem
2025 IMA Journal of Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Arnold Reusken

0

citations
Analysis of a finite element method for PDEs in evolving domains with topological changes
2026 Interfaces and Free Boundaries Mathematical Analysis Computation and Applications article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Maxim A. Olshanskii, Arnold Reusken

0

citations
Variationally correct neural residual regression for parametric PDEs: on the viability of controlled accuracy
2025 IMA Journal of Numerical Analysis article Physics and Astronomy Model Reduction and Neural Networks Open access

Markus Bachmayr, Wolfgang Dahmen, Mathias Oster

11

citations
Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy
2024 arXiv (Cornell University) preprint Physics and Astronomy Model Reduction and Neural Networks Open access

Markus Bachmayr, Wolfgang Dahmen, Mathias Oster

3

citations
Heat flow methods and saddle configurations for spherical magnets
2025 RWTH Publications (RWTH Aachen) dissertation Mathematics Nonlinear Partial Differential Equations Open access

0

citations
Well-posedness of the heat equation in domains with topological transitions
2026 arXiv (Cornell University) preprint Mathematics Differential Equations and Boundary Problems Open access

Maxim A. Olshanskii, Arnold Reusken

0

citations
Iterative thresholding low-rank time integration
2025 RWTH Publications (RWTH Aachen) preprint Mathematics Numerical methods for differential equations Open access

Markus Bachmayr, Matthieu Dolbeault, Polina Sachsenmaier

0

citations
Well-posedness of the heat equation in domains with topological transitions
2026 RWTH Publications (RWTH Aachen) preprint Mathematics Differential Equations and Boundary Problems Open access

Maxim A. Olshanskii, Arnold Reusken

0

citations