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Autonomous Underwater Vehicles (AUVs) are essential for marine exploration, yet their control remains highly challenging due to nonlinear dynamics and uncertain environmental disturbances. This paper presents a diffusion-augmented…

Robotics · Computer Science 2025-10-01 Jingzehua Xu , Guanwen Xie , Weiyi Liu , Jiwei Tang , Ziteng Yang , Tianxiang Xing , Yiyuan Yang , Shuai Zhang , Xiaofan Li

We present a highly-parallel multi-frequency hybrid radiation hydrodynamics algorithm that combines a spatially-adaptive long characteristics method for the radiation field from point sources with a moment method that handles the diffuse…

Instrumentation and Methods for Astrophysics · Physics 2017-01-04 Anna L. Rosen , Mark R. Krumholz , Jeffrey S. Oishi , Aaron T. Lee , Richard I. Klein

Eyring theory provides a convenient approximation to the rate of a chemical reaction, as it uses only local information evaluated near extremal points of a given potential energy surface. However, in cases of pronounced anharmonicity and…

Chemical Physics · Physics 2025-02-11 Christian W. Binder , Johannes K. Krondorfer , Andreas W. Hauser

In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a splitting of the kinetic distribution function for the…

Numerical Analysis · Mathematics 2023-06-09 Andrés Galindo-Olarte , Victor P. DeCaria , Cory D. Hauck

Radiative transfer is a fundamental process in astrophysics, essential for both interpreting observations and modeling thermal and dynamical feedback in simulations via ionizing radiation and photon pressure. However, numerically solving…

Instrumentation and Methods for Astrophysics · Physics 2025-11-12 Rune Rost , Lorenzo Branca , Tobias Buck

In this paper, the general procedure to solve the General Relativistic Hydrodynamical(GRH) equations with Adaptive-Mesh Refinement (AMR) is presented. In order to achieve, the GRH equations are written in the conservation form to exploit…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Orhan Donmez

A numerical scheme is described for including radiation in multi-dimensional general-relativistic conservative fluid dynamics codes. In this method, a covariant form of the M1 closure scheme is used to close the radiation moments, and the…

High Energy Astrophysical Phenomena · Physics 2013-01-16 Aleksander Sadowski , Ramesh Narayan , Alexander Tchekhovskoy , Yucong Zhu

Here we propose the Reweighted Autoencoded Variational Bayes for Enhanced Sampling (RAVE) method, a new iterative scheme that uses the deep learning framework of variational autoencoders to enhance sampling in molecular simulations. RAVE…

Chemical Physics · Physics 2018-02-13 Joao Marcelo Lamim Ribeiro , Pablo Bravo Collado , Yihang Wang , Pratyush Tiwary

This paper presents a novel Rapidly-exploring Adaptive Sampling Tree (RAST) algorithm for the adaptive sampling mission of a hybrid aerial underwater vehicle (HAUV) in an air-sea 3D environment. This algorithm innovatively combines the…

Robotics · Computer Science 2022-04-11 Zheng Zeng , Chengke Xiong , Xinyi Yuan , Yulin Bai , Yufei Jin , Di Lu , Lian Lian

We present the extension of the differentiable hydrodynamics code, diffhydro, enabling scalable PDE-constrained inference and integrated hybrid physics-ML models for a wide range of astrophysical applications. New physics additions include…

Instrumentation and Methods for Astrophysics · Physics 2025-12-16 Benjamin Horowitz , Zarija Lukić , Kentaro Nagamine , Yuri Oku

In this paper, we present a new method to perform numerical simulations of astrophysical MHD flows using the Adaptive Mesh Refinement framework and Constrained Transport. The algorithm is based on a previous work in which the MUSCL--Hancock…

Astrophysics · Physics 2009-11-11 S. Fromang , P. Hennebelle , R. Teyssier

Radiation hydrodynamical transport of ionization fronts in the next generation of cosmological reionization simulations holds the promise of predicting UV escape fractions from first principles as well as investigating the role of…

Astrophysics · Physics 2009-11-11 Daniel J. Whalen , Michael L. Norman

Context: Radiative feedback plays a crucial role in the formation of massive stars. The implementation of a fast and accurate description of the proceeding thermodynamics in pre-stellar cores and evolving accretion disks is therefore a main…

Solar and Stellar Astrophysics · Physics 2015-03-13 Rolf Kuiper , Hubert Klahr , Cornelis Dullemond , Wilhelm Kley , Thomas Henning

Relativistic dissipative hydrodynamic equations are extended by taking into account particle number changing processes in a gluon system, which expands in one dimension boost-invariantly. Chemical equilibration is treated by a rate equation…

Nuclear Theory · Physics 2010-11-23 Andrej El , Azwinndini Muronga , Zhe Xu , Carsten Greiner

An implicit Lagrangian hydrodynamics code for general relativistic spherical collapse is presented. This scheme is based on an approximate linearized Riemann solver (Roe type scheme). This code is aimed especially at the calculation of the…

Astrophysics · Physics 2009-10-28 Shoichi Yamada

Evaluating Retrieval-Augmented Generation (RAG) systems remains a challenging task: existing metrics often collapse heterogeneous behaviors into single scores and provide little insight into whether errors arise from retrieval,reasoning, or…

Computation and Language · Computer Science 2026-01-09 Keerthana Murugaraj , Salima Lamsiyah , Martin Theobald

{\bf Purpose}: To develop a geometry-governed diffusion framework that explains differential tissue response under FLASH ultra-high dose rate (UHDR) irradiation by explicitly accounting for structural heterogeneity and anomalous transport…

Medical Physics · Physics 2026-04-20 Neda Valizadeh , Robabeh Rahimi , Ramin Abolfath

We present the first extension of the special-relativistic Lattice-Boltzmann Method for radiative transport developed by Weih et al. (2020), to solve the radiative-transfer equation in curved spacetimes. The novel approach is based on the…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Tom Olsen , Luciano Rezzolla

In this paper, the generalized Darboux transformation is established to the AB system, which mainly describes marginally unstable baroclinic wave packets in geophysical fluids and ultra-short pulses in nonlinear optics. We find a unified…

Mathematical Physics · Physics 2013-12-24 Xin Wang , Yuqi Li , Yong Chen

We describe the implementation and testing of a smoothed particle hydrodynamics (SPH) code that solves the equations of radiation hydrodynamics in the flux-limited diffusion (FLD) approximation. The SPH equations of radiation hydrodynamics…

Astrophysics · Physics 2009-11-10 Stuart C. Whitehouse , Matthew R. Bate