A Christov Integrating Factor Method for Approximating Rational PDE Solutions
arXiv:2611.07154v1 Announce Type: cross Abstract: Rational solutions of partial differential equations (PDEs) are notoriously difficult to approximate via spect…
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arXiv:2611.07154v1 Announce Type: cross Abstract: Rational solutions of partial differential equations (PDEs) are notoriously difficult to approximate via spect…
arXiv:2611.07137v1 Announce Type: cross Abstract: In the lattice Boltzmann method (LBM), the momentum-exchange method (MEM) is widely used to evaluate hydrodyna…
arXiv:2611.07121v1 Announce Type: cross Abstract: We construct a divergence-free velocity field $\mathbf{u}(\mathbf{x},t)$ on $\mathbb{T}^{n}$ that is a genuine…
arXiv:2611.06938v1 Announce Type: cross Abstract: This article presents web-based applets designed primarily to educate future mathematics teachers in the field…
arXiv:2611.08429v1 Announce Type: new Abstract: We determine field-of-values equivalent preconditioners for the time-dependent Stokes equations discretized in t…
arXiv:2611.08276v1 Announce Type: new Abstract: A hybrid virtual element formulation (HVEM) is presented for transient flow in variably saturated soils governed…
arXiv:2611.08261v1 Announce Type: new Abstract: The Characteristic Mapping (CM) method is a transport scheme which discretizes the Lagrangian flow map as a comp…
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…