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Numerical analysis & scientific computing

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2,024 studies

  1. Data-driven Regularization for Inverse Problems
    Oleh Melnyk, Sebastian Neumayer
  2. Mean-Square Convergence Analysis of a Three-Level MGRIT Method for Linear Stochastic Evolution Equations with Additive Noise
    Liying Zhang, Zhiheng Xu
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  3. On the variational characterization of a laminated core model in ferromagnetic materials
    Herbert Egger, Felix Engertsberger
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  4. Split Quaternion Toolbox: A MATLAB Implementation
    Salman Ahmadi-Asl, Abbas Moradi, Yang Zhang
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  5. Efficient Low-Rank Approximation of Quaternion Matrices via Adaptive Cross Approximation
    Salman Ahmadi-Asl, Yang Zhang
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  6. Data-driven Random-feature Approximation of Koopman Generators of Nonlinear Continuous-time Systems
    Ana Čukarska, Maximilian Gollwitzer, Viola Muning Li +3
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  7. Randomized Symplectic Model Reduction: One-Pass Basis Construction and Sketched Hamiltonian Assembly
    Robin Herkert, Bernard Haasdonk, Jörg Fehr
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  8. A Semigroup-Aware Kernel Neural Operator with Latent Exponential Integration for Forced PDEs
    Naseem Abbas, Vittorio Colao, Davide Macrì +2
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  9. PDE-based Bayesian Inverse Problems in All-at-once Framework
    Tram Thi Ngoc Nguyen, Fabian Schneider, Leila Taghizadeh
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingProbabilityarXiv
  10. A Transfer Principle for Elliptic Carleman Estimates: Application to Discrete Calderón Stability
    Qi Lü, Yu Wang
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  11. Higher-Order QMC hp-FEM UQ for Singular Perturbation: Reaction-Diffusion with Gevrey-Parametric Reaction Coefficient
    Fabian Rohner, Christoph Schwab
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  12. Higher-Order QMC Galerkin FEM for Singular Perturbation: Reaction-Diffusion with Affine-Parametric Reaction
    Fabian Rohner, Christoph Schwab
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  13. Optimal AFEM convergence for any bulk parameter smaller than one
    Lars Diening, Johannes Storn
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  14. Coefficient Recombination and Error Estimates for the L2 Method for Subdiffusion on Nonuniform Meshes
    Chaoyu Quan, Shangyu Wang, Shijie Wang +1
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  15. A Positivity-Preserving Numerical Method for the Free Cox-Ingersoll-Ross Equation
    Y. Niu, Z. Peng, J. Wei +2
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  16. Efficient variance reduction for randomized Kaczmarz methods via residual-tracking control variates
    Jiaxin Xie, Hou-Duo Qi, Deren Han
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  17. Contour-Based Fast Fractional Integration in a Jacobi Fractional Polynomial Basis
    Xiaolin Liu
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  18. A priori error analysis for the Shliomis ferrofluid model without magnetic regularization
    Gonzalo A. Benavides, Ricardo H. Nochetto
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  19. A Parallel Algebraic Multigrid Preconditioned Iterative Method Based on an MPI Process Grouping Strategy for Asynchronous Concurrent Execution of the Setup and Solve Phases
    Chunsheng Feng, Shuai Liu, Linjie Zhang +1
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  20. Energy Stability and Error Estimates for a Globally Divergence-Free DG Method of Arbitrary Order
    Yuchang Liu, Yan Jiang, Mengping Zhang
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  21. Linearize or Discretize First? Error Estimates under Mesh-Uniform Regularity and Exponential Stability for the KdV Equation with Boundary Dissipation
    Kangsheng Liu
  22. Fast rigid rotational alignment of voxelized 3-D density maps in sliced Wasserstein distance
    Oscar Mickelin, Yunpeng Shi, Amit Singer +1
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  23. H2-based equilibrated residual error estimates
    Kexin Ding, Yuwen Li
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  24. Numerical schemes for 1D capacitively coupled plasma fluid simulation
    Yipei Chen, Ganghua Fan, Yuwei Fan +6
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  25. Convergence of Levenberg--Marquardt method in Banach spaces
    Akari Ishida, Sei Nagayasu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv