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Christian Lubich

  1. A projector-splitting integrator for dynamical low-rank approximation
    2013/01/06 by Christian Lubich, Lubich, Christian, Ivan Oseledets +1 · 16 citations
    Mathematics · Engineering · Computer Science · #Tensor decomposition and applications #Sparse and Compressive Sensing Techniques #Matrix Theory and Algorithms
  2. A rank-adaptive robust integrator for dynamical low-rank approximation
    2021/04/12 by Gianluca Ceruti, Jonas Kusch, Ceruti, Gianluca +3 · 12 citations
    Computer Science · Engineering · Mathematics · #Advanced Image Processing Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Tensor decomposition and applications
  3. Convergence of finite elements on an evolving surface driven by\n diffusion on the surface
    2016/07/25 by Balázs Kovács, Kovács, Balázs, Buyang Li +5 · 5 citations
    Computer Science · Engineering · Mathematics · #35R01 #65M12 #65M15 #65M60 #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)
  4. Higher-order linearly implicit full discretization of the\n Landau--Lifshitz--Gilbert equation
    2019/03/13 by Georgios Akrivis, Akrivis, Georgios, Michael Feischl +5 · 6 citations
    Computer Science · Engineering · Mathematics · #65L06 #65M12 #65M15 #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations
  5. A robust second-order low-rank BUG integrator based on the midpoint rule
    2024/02/13 by Gianluca Ceruti, Lukas Einkemmer, Ceruti, Gianluca +5 · 7 citations
    Mathematics · Engineering · #Advanced Optimization Algorithms Research #Power System Optimization and Stability #Advanced Control Systems Optimization
  6. Fast and Oblivious Convolution Quadrature
    2006/01/01 by Achim Schädle, María López-Fernández, Christian Lubich · 2 citations
    Engineering · Mathematics · Physics and Astronomy · #Advanced Numerical Methods in Computational Mathematics #Mathematical Approximation and Integration #Model Reduction and Neural Networks
  7. Symmetric multistep methods over long times
    2004/06/01 by Ernst Hairer, Christian Lubich · 2 citations
    Mathematics · Computer Science · Engineering · #Numerical methods for differential equations #Matrix Theory and Algorithms #Advanced Numerical Methods in Computational Mathematics
  8. Runge--Kutta convolution coercivity and its use for time-dependent\n boundary integral equations
    2017/02/27 by Lehel Banjai, Christian Lubich, Banjai, Lehel +1 · 2 citations
    Engineering · Mathematics · Physics and Astronomy · #65L05 #65R20 #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
  9. Sobolev stability of plane wave solutions to the cubic nonlinear Schrödinger equation on a torus
    2011/09/12 by Erwan Faou, Ludwig J. Gauckler, Faou, Erwan +3 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Nonlinear Waves and Solitons
  10. Leapfrog methods for relativistic charged-particle dynamics
    2023/04/26 by Ernst Hairer, Christian Lubich, Hairer, Ernst +3 · 2 citations
    Engineering · Mathematics · #65L05 #65P10 #78A35 #Advanced Numerical Methods in Computational Mathematics #Computational Physics (physics.comp-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Numerical methods for differential equations #Plasma Physics (physics.plasm-ph)
  11. Time-dependent acoustic scattering from generalized impedance boundary\n conditions via boundary elements and convolution quadrature
    2020/05/28 by Lehel Banjai, Christian Lubich, Banjai, Lehel +3 · 1 citation
    Engineering · Physics and Astronomy · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering
  12. Regularized dynamical parametric approximation of stiff evolution problems
    2025/01/21 by Christian Lubich, Jörg Nick, Lubich, Christian +1 · 2 citations
    Engineering · Mathematics · Physics and Astronomy · #65M12 #65M15 #Differential Equations and Numerical Methods #FOS: Computer and information sciences #FOS: Mathematics #G.1.8 #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Vibration and Dynamic Analysis
  13. Structure-preserving Lagrange-multiplier methods for mean curvature flow and their error bounds
    2026/07/16 by Balázs Kovács, Buyang Li, Christian Lubich
    #math.NA #cs.NA