Universal Dimension Formula for Planar $C^r$ Splines at Degree $3r+1$
arXiv:2611.08178v1 Announce Type: new Abstract: We prove that Schumaker's lower bound gives the dimension of $S_{3r+1}^r(\Delta)$ for every nondegenerate triang…
言栖资讯收录 118098 篇 AI、开发与建站文章(English),按发布时间排序,支持搜索与按语言筛选。
arXiv:2611.08178v1 Announce Type: new Abstract: We prove that Schumaker's lower bound gives the dimension of $S_{3r+1}^r(\Delta)$ for every nondegenerate triang…
arXiv:2611.08169v1 Announce Type: new Abstract: We propose a second-order, semi-implicit time-stepping scheme for the shallow-water equations on the sphere disc…
arXiv:2611.08020v1 Announce Type: new Abstract: Nonlinear low-rank decompositions are receiving growing attention as a way to represent structured data with few…
arXiv:2611.08001v1 Announce Type: new Abstract: Operator learning offers an efficient surrogate for lithography simulation, replacing costly numerical solutions…
arXiv:2611.07985v1 Announce Type: new Abstract: In this paper, we propose a boundary-preserving randomized neural network method for Poisson equations with Diri…
arXiv:2611.07981v1 Announce Type: new Abstract: We prove three results about Runge--Kutta methods with non-negative coefficients. First, every $s$-stage implici…
arXiv:2611.07692v1 Announce Type: new Abstract: We propose a hybrid Newton-BFGS high-index saddle dynamics (HiSD) method for accelerating saddle-point searches.…
arXiv:2611.07424v1 Announce Type: new Abstract: We study randomly shifted rank-1 lattice rules for computing $\mathbb{E}[g(\mathbf{X}_T)]$, where $\mathbf{X}_T$…
arXiv:2611.07364v1 Announce Type: new Abstract: Kinetic equations in the high-field regime describe particle transport dominated by electric-field acceleration …
arXiv:2611.07360v1 Announce Type: new Abstract: We consider numerical approximations of shallow-water and thin-film flow models with capillary effects. These mo…
arXiv:2611.07107v1 Announce Type: new Abstract: The numerical simulation of kinetic plasma models in six-dimensional phase space poses significant computational…
arXiv:2611.06951v1 Announce Type: new Abstract: Efficient radiation transport on modern high-performance computers requires algorithms that expose spatial paral…
arXiv:2606.22911v2 Announce Type: replace-cross Abstract: Multi-zone HVAC control is a spatial decision problem in which indoor thermal evolution and control de…
arXiv:2605.04373v2 Announce Type: replace-cross Abstract: RL-based controllers achieve strong average-case performance in networking tasks such as congestion co…
arXiv:2604.19427v2 Announce Type: replace-cross Abstract: Wireless links deployed in orchards often exhibit significant variability in the strength of the recei…
arXiv:2604.17213v2 Announce Type: replace-cross Abstract: Inductive bias refers to restrictions on the hypothesis class that enable a learning method to general…
arXiv:2509.15794v2 Announce Type: replace-cross Abstract: System identification in modern engineering systems faces emerging challenges from unanticipated adver…
arXiv:2505.04148v2 Announce Type: replace-cross Abstract: This paper proposes a novel non-terrestrial communication architecture that integrates Rate-Splitting …
arXiv:2610.01885v2 Announce Type: replace Abstract: The design of satellite constellations for Earth observation requires balancing spatial coverage, revisit ti…
arXiv:2609.09384v2 Announce Type: replace Abstract: This paper addresses safe coordination of scalar agents with constrained input dynamics over fixed rooted di…