31. Stability of the Active Flux Method in the Framework of Summation-by-Parts Operators
    2025/07/15 by Wasilij Barsukow, Barsukow, Wasilij, Christian Klingenberg +9 · 7 citations
    Computer Science · Mathematics · #math.NA #cs.NA
32. Kernels of trace operators via fine continuity
    2025/07/06 by Michael Hinz, Simon N. Chandler‐Wilde, Simon N. Chandler-Wilde +4 · 2 citations
    Computer Science · Mathematics · #Advanced Banach Space Theory #Almost everywhere #Approximation Theory and Sequence Spaces #Closed set #Closure (psychology) #Hausdorff space #Holomorphic and Operator Theory #Kernel (algebra) #Measure (data warehouse) #Nowhere dense set #Sobolev space #TRACE (psycholinguistics) #cs.NA #math.AP #math.FA #math.NA
33. On the non-convexity issue in the radial Calderón problem
    2025/07/04 by Giovanni S. Alberti, Romain Petit, Alberti, Giovanni S. +5 · 1 voice · 2 citations
    Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #math.AP #math.NA #math.OC
34. Parallel-in-Time Preconditioning for Time-Dependent Variational Mean Field Games
    2025/07/02 by Heidi Wolles Ljósheim, Heidi W. Ljósheim, Ljósheim, Heidi Wolles +7 · 1 voice
    Computer Science · Engineering · Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Stability and Control of Uncertain Systems #math.NA #math.OC
35. Anatomy of High-Performance Column-Pivoted QR Decomposition
    2025/07/01 by Maksim Melnichenko, Melnichenko, Maksim, Riley Murray +11 · 1 voice · 1 citation
    Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #cs.MS #math.NA
36. DefElement: an encyclopedia of finite element definitions
    2025/06/25 by Matthew W. Scroggs, Pablo D. Brubeck, Scroggs, Matthew W. +8 · 1 voice · 1 citation
    Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #math.NA
37. Gaussian Processes and Reproducing Kernels: Connections and Equivalences
    2025/06/20 by Motonobu Kanagawa, Kanagawa, Motonobu, Philipp Hennig +5 · 3 voices · 5 citations
    Computer Science · Mathematics · #stat.ML #cs.LG #math.NA #math.PR #math.ST
38. Non-uniform finite-element meshes defined by ray dynamics for Helmholtz problems
    2025/06/18 by Martin Averseng, Jeffrey Galkowski, Averseng, Martin +3 · 1 voice
    Mathematics · #math.NA #math.AP
39. Convergence of adaptive boundary element methods driven by functional a posteriori error estimates
    2025/06/12 by Alexander Freiszlinger, Dirk Pauly, Freiszlinger, Alexander +3 · 1 voice · 2 citations
    Engineering · Mathematics · #65N12 #65N15 #65N38 #65N50 #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in engineering #math.NA
40. Physics vs Distributions: Pareto Optimal Flow Matching with Physics Constraints
    2025/06/10 by Giacomo Baldan, Baldan, Giacomo, Qiang Liu +5 · 1 voice · 7 citations
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #cs.LG #cs.AI #cs.CE #math.NA
41. TL;DR: Too Long, Do Re-weighting for Efficient LLM Reasoning Compression
    2025/06/03 by Zhong-Zhi Li, Zhongzhi Li, Xiao Liang +31 · 1 voice · 7 citations
    Computer Science · Mathematics · #Computation and Language (cs.CL) #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #Finance #Multimodal Machine Learning Applications #Natural Language Processing Techniques #Numerical Analysis (math.NA) #Topic Modeling #and Science (cs.CE) #cs.CE #cs.CL #math.NA
42. Defining Foundation Models for Computational Science: A Call for Clarity and Rigor
    2025/05/28 by Youngsoo Choi, Choi, Youngsoo, Siu Wun Cheung +23 · 1 voice · 7 citations
    Computer Science · Decision Sciences · Mathematics · #Scientific Computing and Data Management #cs.AI #cs.LG #math.NA
43. The Polar Express: Optimal Matrix Sign Methods and Their Application to the Muon Algorithm
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    Computer Science · Engineering · Mathematics · Physics and Astronomy · #Coding theory and cryptography #Muon and positron interactions and applications #Particle physics theoretical and experimental studies #cs.AI #cs.CL #cs.LG #math.NA #math.OC
44. Automatically Differentiable Model Updating (ADiMU): conventional, hybrid, and neural network material model discovery including history-dependency
    2025/05/12 by Bernardo P. Ferreira, Miguel A. Bessa, Ferreira, Bernardo P. +1 · 5 citations
    Computer Science · Materials Science · Mathematics · Physics and Astronomy · #Advanced Multi-Objective Optimization Algorithms #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning in Materials Science #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #cs.LG #cs.NA #math.NA #physics.comp-ph
45. A Common Interface for Automatic Differentiation
    2025/05/08 by Guillaume Dalle, Dalle, Guillaume, Adrian Hill +1 · 2 voices · 2 citations
    Computer Science · Mathematics · Physics and Astronomy · #Amortizing loan #Component (thermodynamics) #Interface (matter) #Key (lock) #Mechanism (biology) #Model Reduction and Neural Networks #Modular design #Modularity (biology) #Numerical Methods and Algorithms #Parallel Computing and Optimization Techniques #cs.LG #cs.MS #math.NA
46. Weighted Birkhoff averages: Deterministic and probabilistic perspectives
    2025/05/06 by Zhicheng Tong, Tong, Zhicheng, Yong Li +1 · 3 citations
    Computer Science · Mathematics · Physics and Astronomy · #37A10 #37A44 #37A46 #43A60 #60F05 #Dynamical Systems (math.DS) #FOS: Mathematics #cs.NA #math-ph #math.DS #math.MP #math.NA #math.PR #msc:37A10 #msc:37A44 #msc:37A46 #msc:43A60 #msc:60F05
47. Hierarchical dynamic domain decomposition for the multiscale Boltzmann equation
    2025/05/06 by Domenico Caparello, Lorenzo Pareschi, Caparello, Domenico +3 · 1 voice · 3 citations
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Numerical methods for differential equations #math.NA
48. Global Optimality Characterizations and Algorithms for Minimizing Quartically-Regularized Third-Order Taylor Polynomials
    2025/04/28 by Wenqi Zhu, Coralia Cartis, Zhu, Wenqi +1 · 2 citations
    Computer Science · Engineering · Mathematics · #Diagonal #Quadratic equation #Quartic function #Regular polygon #Regularization (linguistics) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques #Taylor series #Tensor decomposition and applications #Upper and lower bounds #cs.NA #math.NA #math.OC
49. A Dictionary of Closed-Form Kernel Mean Embeddings
    2025/04/26 by François-Xavier Briol, François‐Xavier Briol, Alexandra Gessner +6 · 1 voice · 4 citations
    Computer Science · Decision Sciences · Mathematics · #Bayesian Methods and Mixture Models #Bayesian probability #Gaussian Processes and Bayesian Inference #Inference #Kernel (algebra) #Kernel method #Limiting #Probabilistic and Robust Engineering Design #Python (programming language) #Variable kernel density estimation #cs.LG #math.NA #stat.CO #stat.ML
50. Numerical analysis of a particle system for the calibrated Heston-type local stochastic volatility model
    2025/04/19 by Christoph Reisinger, Maria Olympia Tsianni, Reisinger, Christoph +1 · 1 voice · 2 citations
    Economics, Econometrics and Finance · Mathematics · #Computational Finance (q-fin.CP) #FOS: Economics and business #FOS: Mathematics #Numerical Analysis (math.NA) #math.NA #q-fin.CP
51. A structure-preserving LDG discretization of the Fisher-Kolmogorov equation for modeling neurodegenerative diseases
    2025/04/08 by Paola F. Antonietti, Antonietti, Paola F., Mattia Corti +5 · 1 voice · 2 citations
    Mathematics · #35Q92 #65M60 #65N22 #FOS: Mathematics #Numerical Analysis (math.NA) #math.NA
52. Stochastic numerical approximation for nonlinear Fokker-Planck equations with singular kernels
    2025/04/08 by Nicoleta Cazacu, Cazacu, Nicoleta · 1 citation
    Computer Science · Mathematics · #60H30 #60H35 #60K35 #65C30 #65C35 #FOS: Mathematics #Numerical Analysis (math.NA) #Probability (math.PR) #cs.NA #math.NA #math.PR #msc:60H30 #msc:60H35 #msc:60K35 #msc:65C30 #msc:65C35
53. Fast rigid alignment of heterogeneous images in sliced Wasserstein distance
    2025/03/17 by Yunpeng Shi, Shi, Yunpeng, Amit Singer +3 · 2 citations
    Computer Science · Mathematics · #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #cs.CV #cs.NA #math.NA
54. Error analysis of the Strang splitting for the 3D semilinear wave equation with finite-energy data
    2025/03/17 by Maximilian Ruff, Ruff, Maximilian · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Convergence (economics) #Discretization #Discretization error #Error analysis #Numerical analysis #Numerical methods for differential equations #Quantum chaos and dynamical systems #Quartic function #Torus #Wave equation #cs.NA #math.AP #math.NA
55. Superconvergent Discontinuous Galerkin Method for the Scalar Teukolsky Equation on Hyperboloidal Domains: Efficient Waveform and Self-Force Computation
    2025/03/14 by Manas Vishal, Vishal, Manas, Scott E. Field +5 · 1 voice · 2 citations
    Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Numerical Analysis (math.NA) #gr-qc #math.NA
56. Intrinsic unconditional stability in space-time isogeometric approximation of the acoustic wave equation in second-order formulation
    2025/03/14 by Matteo Ferrari, Ilaria Perugia, Ferrari, Matteo +1 · 1 voice · 4 citations
    Engineering · Mathematics · #Advanced Numerical Analysis Techniques #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations #Numerical methods in engineering #math.NA
57. Numerical stability analysis of large language models
    2025/03/13 by Stanislav Budzinskiy, Budzinskiy, Stanislav, Wenyi Fang +7 · 1 voice · 3 citations
    Computer Science · Mathematics · #Natural Language Processing Techniques #Text Readability and Simplification #Topic Modeling #cs.LG #math.NA #stat.ML
58. Trilinos: Enabling Scientific Computing Across Diverse Hardware Architectures at Scale
    2025/03/11 by Matthias Mayr, Alexander Heinlein, Mayr, Matthias +74 · 1 voice · 7 citations
    Computer Science · Decision Sciences · Mathematics · #65-04 #65Y05 #Distributed and Parallel Computing Systems #FOS: Computer and information sciences #FOS: Mathematics #G.1.3 #G.4 #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #Parallel Computing and Optimization Techniques #Scientific Computing and Data Management #cs.MS #math.NA
59. Numerical search for three-body periodic free-fall orbits with central symmetry
    2025/03/01 by I. Hristov, Hristov, I., R. Hristova +7 · 1 voice · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #65L05 #70F07 #70F15 #74H65 #Astro and Planetary Science #Chaotic Dynamics (nlin.CD) #Classical Physics (physics.class-ph) #Computational Physics (physics.comp-ph) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Space Satellite Systems and Control #Spacecraft Dynamics and Control #math.NA #nlin.CD #physics.class-ph #physics.comp-ph
60. An SMT Formalization of Mixed-Precision Matrix Multiplication: Modeling Three Generations of Tensor Cores
    2025/02/21 by Benjamin Valpey, Valpey, Benjamin, Xinyi Li +5 · 1 voice · 3 citations
    Computer Science · Mathematics · #B.2.4 #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1.0 #Hardware Architecture (cs.AR) #Numerical Analysis (math.NA) #cs.AR #math.NA

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