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Numerical analysis & scientific computing

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2,023 studies

  1. Tractable Inference with Kolmogorov-Arnold Networks
    Juan Diego Toscano, Sascha Ranftl, Zhiwei Gao +2
    arXivPreprintCC BY-NC-SA 4.0Full textNumerical analysis & scientific computingarXiv
  2. PDECheck: A Diagnostic Software Suite for Auditing Learned PDE Simulators
    Lennon J. Shikhman
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  3. A coupled finite element formulation for chemo-mechano-thermodynamical contact and its application to bonding and debonding
    Roger A. Sauer
    arXivPreprintCC BY-NC-ND 4.0Full textNumerical analysis & scientific computingarXiv
  4. High-Order Fully Discrete Entropy-Stable DG Methods with Compact Explicit Single-Step Time Discretizations
    Yuchang Liu, Yan Jiang, Mengping Zhang
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  5. The reverse Ritz inclusion: computable bounds on the pseudospectra of an operator by those of a finite-rank compression
    Isaia Nisoli
    arXivPreprintCC BY-NC-ND 4.0Full textNumerical analysis & scientific computingarXiv
  6. Discovery of Singularities in Partial Differential Equations Using Adaptive Numerical Discretizations
    Allen Yang, Lucas Amoudruz, Petros Koumoutsakos
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  7. Comb Tensor Network Finite-Difference Time-Domain Algorithms for 2D and 3D Electromagnetic Simulations
    Jonathan Tabares, Erika Ye, Yang Liu
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  8. Energy-rate equidistribution for adaptive SSAV--BDF2 integration of gradient flows
    Suki Shergill, JF Williams
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  9. A Transformer-based Approach for Real-time Multi-agent Path Planning with Varying Initial/Final Conditions
    Qian Zhang, Shanqing Liu, Jerome Darbon +1
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingOptimisation & controlarXiv
  10. A unified variational framework for augmented Lagrangian preconditioning of saddle point systems: applications to mixed-dimensional and fictitious domain methods
    Michele Benzi, Marco Feder, Luca Heltai +1
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  11. Matrix-Free Local Multigrid for C1 Hermite Discretizations on GPUs
    Michał Wichrowski
    arXivPreprintCC BY-NC-ND 4.0Full textNumerical analysis & scientific computingarXiv
  12. Structure-Preserving Dimension Reduction and Surrogates for Partially Linear Bayesian Inverse Problems
    Ziheng Zhang, Dingcheng Luo, Thomas O'Leary-Roseberry +2
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  13. Summation-by-parts operators for general function spaces: Flux differencing, entropy stability, and accuracy
    Henry M. Haase, Andrew R. Winters, Jan Glaubitz
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  14. DBDSVDMR3: An MRRR-Based Bidiagonal SVD Solver Built from DSTEGR
    James Demmel, Inderjit Dhillon, Sai Surya Duvvuri +3
    arXivPreprintCC BY-NC-ND 4.0Full textNumerical analysis & scientific computingarXiv
  15. Relaxation and Γ-Convergence of Stretch Energy on Surface Homeomorphisms
    Shu-Yung Liu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  16. Triple Products of Correlated Multivariate Hermite Polynomials
    Laura Lyman
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingStatisticsarXiv
  17. Weighted Laplace Spaces for Spectral Measures and Rational Approximation
    Stefan Jakobsson, Alice Kozakevicius, Stig Larsson
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  18. Higher Accuracy Modular Data Assimilation for the Navier-Stokes Equations
    Troy Yang
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv
  19. Entropy bounded compact stencil Runge-Kutta discontinuous Galerkin method for hyperbolic conservation laws
    Deepak Kumar, Pratima Rai, Arvind Patel
    arXivPreprintarXiv licenceFull textAnalysis & PDEsMathematical physicsNumerical analysis & scientific computingarXiv
  20. Robust topology optimization of isogeometric Kirchhoff--Love shells by the Speed Method
    Philipp Eisenhardt, Fernando Hübner Scherer, Barbara Wohlmuth +1
    arXivPreprintCC BY-NC-SA 4.0Full textNumerical analysis & scientific computingarXiv
  21. When Windowed Anderson Acceleration Converges Faster
    Gilad Lerman, Teng Zhang
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingStatisticsarXiv
  22. A PDE-theory-guided neural operator and the long-time relaxation of the two-dimensional anisotropic Boussinesq system
    Akram Moustafa, Jiahong Wu, Xiaoming Zheng
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  23. Rigorous integration of semilinear parabolic PDEs: forward evolution bounds and projected boundary value problems
    Jean-Philippe Lessard, Akitoshi Takayasu
    arXivPreprintarXiv licenceFull textDynamical systemsNumerical analysis & scientific computingarXiv
  24. Stability analysis of boundary element methods for the wave equation: The weakly singular operator in 1d
    Daniel Hoonhout, Richard Löscher, Carolina Urzúa-Torres
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingarXiv
  25. Parameters Robust Parallelizable Iterative Decoupled Algorithms for Thermo-Poroelasticity with Nonlinear Convective Transport
    Ziliang Li, Jingzhi Li
    arXivPreprintCC BY-NC-SA 4.0Full textNumerical analysis & scientific computingarXiv