Tootfinder

High-order staggered Lagrangian hydrodynamics (I): framework of the discretization scheme
Zhiyuan Sun, Jun Liu, Pei Wanga
https://arxiv.org/abs/2509.05944 https://

High-order staggered Lagrangian hydrodynamics (I): framework of the discretization scheme
This paper presents a discretization framework for high-order staggered Lagrangian hydrodynamics, bridging two well-established algorithms algorithms: high-order curvilinear finite element Lagrangian hydrodynamics [Dobrev et al. 2012] and compatible hydrodynamics methods[Caramana et al.1998]. We emphasizes the critical relationship between the degrees of freedom (DOFs) associated with the density variable and the choice of numerical quadrature rules which is employed in the mass conservation la…

Unser zweierlei Maß bei #Enteignung:
Super böse, wenn damit sichere Radwege gebaut werden. Privateigentum ist dann ein hohes Gut.
Super toll, wenn man damit auf der grünen Wiese Neubaugebiete erschließen will.
Im Ort Rastorf beschließt der Rat aus zwei lokalen Listen und CDU einstimmig bei einer Enthaltung ein Enteignungsverfahren, um ein Neubaugebiet zu erschließen, obwohl di…

Enteignung in Rastorf? „Selbst wenn ich 80.000 Euro bekäme, ich wäre nicht käuflich“
Silke Wilde soll ihr Grundstück verkaufen. Die Rastorferin besitzt 267 Quadratmeter auf dem Düsternbrook, über den die Gemeinde ein Baugebiet erschließen möchte. Doch Silke Wilde wehrt sich wie eine Löwin – auch gegen eine mögliche Enteignung.

Replaced article(s) found for math.OC. https://arxiv.org/list/math.OC/new
[1/1]:
- Regular Pairings for Non-quadratic Lyapunov Functions and Contraction Analysis
Anton V. Proskurnikov, Francesco Bullo

Optimal Policy Learning for Multi-Action Treatment with Risk Preference using Stata
Giovanni Cerulli
https://arxiv.org/abs/2509.06851 https://arxiv.org/pdf…

Optimal Policy Learning for Multi-Action Treatment with Risk Preference using Stata
This paper presents the Stata community-distributed command "opl_ma_fb" (and the companion command "opl_ma_vf"), for implementing the first-best Optimal Policy Learning (OPL) algorithm to estimate the best treatment assignment given the observation of an outcome, a multi-action (or multi-arm) treatment, and a set of observed covariates (features). It allows for different risk preferences in decision-making (i.e., risk-neutral, linear risk-averse, and quadratic risk-averse), and provides a graph…

Data-Driven Discrete Geofence Design Using Binary Quadratic Programming
Keisuke Otaki, Akihisa Okada, Tadayoshi Matsumori, Hiroaki Yoshida
https://arxiv.org/abs/2509.24679 https…

Data-Driven Discrete Geofence Design Using Binary Quadratic Programming
Geofences have attracted significant attention in the design of spatial and virtual regions for managing and engaging spatiotemporal events. By using geofences to monitor human activity across their boundaries, content providers can create spatially triggered events that include notifications about points of interest within a geofence by pushing spatial information to the devices of users. Traditionally, geofences were hand-crafted by providers. In addition to the hand-crafted approach, recent …

On compatible linear and quadratic Poisson brackets on $gl(N)$
Andriy Panasyuk, Taras Skrypnyk
https://arxiv.org/abs/2509.24054 https://arxiv.org/pdf/2509.…

On compatible linear and quadratic Poisson brackets on $gl(N)$
In the present paper, using two constant tensors $c$ and $b$ on $sl(N)\otimes sl(N)$ satisfying certain linear-quadratic equation and a technique of Poisson bivectors and Schouten brackets, we explicitly construct quadratic Poisson bracket on the space $ (sl(N)+\mathbb{C})^*$ which is compatible with the standard Lie--Poisson bracket on $gl(N)^* \simeq (sl(N)\oplus \mathbb{C})^*$. The case of $N=3$ is considered in details. The relation of the proposed brackets with the generalized classical Sk…

A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
Th\'eophile Chaumont-Frelet, Heiko Gimperlein, Ignacio Labarca-Figueroa, J\"org Nick
https://arxiv.org/abs/2509.04217

A posteriori error estimates and space-adaptive mesh refinements for time-dependent scattering problems
This work studies a posteriori error estimates and their use for time-dependent acoustic scattering problems, formulated as a time-dependent boundary integral equation based on a single-layer ansatz. The integral equation is discretized by the convolution quadrature method in time and by boundary elements in space. We prove the reliability of an error estimator of residual type and study the resulting space-adaptive mesh refinements. Moreover, we present a simple modification of the convolution…

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D
J. W. Banks, J. Shatah
https://arxiv.org/abs/2509.03432

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D
Wave Kinetic Equations (WKEs) are often used to describe the evolution of ensemble averaged wave amplitudes for nonlinear wave systems. In the present manuscript we describe a new approach to direct numerical simulation of solutions to WKEs. This new method relies on a piecewise polynomial approximation of the resonant manifold, followed by numerical quadrature of the collision integral. The approach is general in nature, and is discussed in detail here for a particular nonlinear Schrodinger mo…

Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
Hui Yu, Zhaoyang Wang, Ping Lin
https://arxiv.org/abs/2509.03471 https…

Linear Relaxation Schemes with Asymptotically Compatible Energy Law for Time-Fractional Phase-Field Models
In this paper, we propose a variable time-step linear relaxation scheme for time-fractional phase-field equations with a free energy density in general polynomial form. The $L1^{+}$-CN formula is used to discretize the fractional derivative, and an auxiliary variable is introduced to approximate the nonlinear term by directly solving algebraic equations rather than differential-algebraic equations as in the invariant energy quadratization (IEQ) and the scalar auxiliary variable (SAV) approaches…

Machine-precision energy conservative quadrature hyperreduction of Lagrangian hydrodynamics
Chris Vales, Siu Wun Cheung, Dylan M. Copeland, Youngsoo Choi
https://arxiv.org/abs/2508.21279

Machine-precision energy conservative quadrature hyperreduction of Lagrangian hydrodynamics
We present an energy conservative, quadrature based model reduction framework for the compressible Euler equations of Lagrangian hydrodynamics. Building on a high order finite element discretization of the governing equations, we develop a projection based reduced model using data driven reduced basis functions and hyperreduction via the empirical quadrature procedure (EQP). We introduce a strongly energy conservative variant of EQP that enforces exact discrete total energy conservation during …