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Runge--Kutta (RK) methods are widely used techniques for solving a class of initial value problems. In this article, we introduce an adaptive multiquadratic (MQ) radial basis function (RBF)-based method to develop enhanced explicit RK…

Numerical Analysis · Mathematics 2025-07-08 Rajesh Yadav , Deepak Kumar Yadav , Alpesh Kumar

Quantum error correction allows inherently noisy quantum devices to emulate an ideal quantum computer with reasonable resource overhead. As a crucial component, decoding architectures have received significant attention recently. In this…

Quantum Physics · Physics 2025-09-05 Kai Zhang , Jubo Xu , Fang Zhang , Linghang Kong , Zhengfeng Ji , Jianxin Chen

As an extension of the 2D fractional Fourier transform (FRFT) and a special case of the 2D linear canonical transform (LCT), the gyrator transform was introduced to produce rotations in twisted space/spatial-frequency planes. It is a useful…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Soo-Chang Pei , Shih-Gu Huang , Jian-Jiun Ding

Recent advances in large language models (LLMs) have enabled progress in agentic coding, where models autonomously reason, plan, and act within interactive software development workflows. However, bridging the gap between static text-based…

We describe the implementation of a module for the Athena magnetohydrodynamics (MHD) code which solves the time-independent, multi-frequency radiative transfer (RT) equation on multidimensional Cartesian simulation domains, including…

Instrumentation and Methods for Astrophysics · Physics 2015-06-03 Shane W. Davis , James M. Stone , Yan-Fei Jiang

Simple Quantum Integro-Differential Solver (SQuIDS) is a C++ code designed to solve semi-analytically the evolution of a set of density matrices and scalar functions. This is done efficiently by expressing all operators in an SU(N) basis.…

High Energy Physics - Phenomenology · Physics 2014-12-15 Carlos Alberto Arguelles Delgado , Jordi Salvado , Christopher N. Weaver

We present IRIS, a new generic three-dimensional (3D) spectral radiative transfer code that generates synthetic spectra, or images. It can be used as a diagnostic tool for comparison with astrophysical observations or laboratory…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 L. Ibgui , I. Hubeny , T. Lanz , C. Stehlé

RADICAL-Cybertools (RCT) are a set of software systems that serve as middleware to develop efficient and effective tools for scientific computing. Specifically, RCT enable executing many-task applications at extreme scale and on a variety…

Software Engineering · Computer Science 2019-04-08 Vivek Balasubramanian , Shantenu Jha , Andre Merzky , Matteo Turilli

We present a C++ implementation of a fifth order semi-implicit Runge-Kutta algorithm for solving Ordinary Differential Equations. This algorithm can be used for studying many different problems and in particular it can be applied for…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 P. Aliani , V. Antonelli , M. Picariello , Emilio Torrente-Lujan

Rapidly-exploring random trees (RRTs) have been widely adopted for robot motion planning due to their robustness and theoretical guarantees. However, existing RRT-based planners require explicit goal configurations specified as numerical…

Robotics · Computer Science 2026-04-21 Sebin Lee , Jumin Lee , Taeyeon Kim , Younju Na , Woobin Im , Sung-Eui Yoon

We present QCommute, a software tool implemented in C++ for symbolic computation of nested commutators between a Hamiltonian and local observables in quantum many-body spin-1/2 systems on one-, two-, and three-dimensional hypercubic…

Strongly Correlated Electrons · Physics 2026-04-09 Oleg Lychkovskiy , Viacheslav Khrushchev , Ilya Shirokov

We present two types of numerical prescriptions that accelerate the radiative transfer calculation around point sources within a three-dimensional Cartesian grid by using the oct-tree structure for the distribution of radiation sources. In…

Cosmology and Nongalactic Astrophysics · Physics 2015-03-19 Takashi Okamoto , Kohji Yoshikawa , Masayuki Umemura

We present t$|$ket$\rangle$, a quantum software development platform produced by Cambridge Quantum Computing Ltd. The heart of t$|$ket$\rangle$ is a language-agnostic optimising compiler designed to generate code for a variety of NISQ…

Quantum Physics · Physics 2020-06-08 Seyon Sivarajah , Silas Dilkes , Alexander Cowtan , Will Simmons , Alec Edgington , Ross Duncan

In this paper, we present Neural Adaptive Tomography (NeAT), the first adaptive, hierarchical neural rendering pipeline for multi-view inverse rendering. Through a combination of neural features with an adaptive explicit representation, we…

Computer Vision and Pattern Recognition · Computer Science 2022-02-07 Darius Rückert , Yuanhao Wang , Rui Li , Ramzi Idoughi , Wolfgang Heidrich

We present the architectural design and prototype implementation of QUT (Quantum Unit Testing), a framework for unit testing of quantum subroutines. The framework is developed with a focus on usability and simplicity, making the complex…

The development of radiation hydrodynamical methods that are able to follow gas dynamics and radiative transfer self-consistently is key to the solution of many problems in numerical astrophysics. Such fluid flows are highly complex, rarely…

Operator learning, which aims to approximate maps between infinite-dimensional function spaces, is an important area in scientific machine learning with applications across various physical domains. Here we introduce the Continuous Vision…

Machine Learning · Computer Science 2025-02-18 Sifan Wang , Jacob H Seidman , Shyam Sankaran , Hanwen Wang , George J. Pappas , Paris Perdikaris

An open challenge in reinforcement learning (RL) is the effective deployment of a trained policy to new or slightly different situations as well as semantically-similar environments. We introduce Symmetry-Invariant Transformer (SiT), a…

Machine Learning · Computer Science 2024-06-24 Matthias Weissenbacher , Rishabh Agarwal , Yoshinobu Kawahara

Accurate medical image segmentation requires both long-range contextual reasoning and precise boundary delineation, a task where existing transformer- and diffusion-based paradigms are frequently bottlenecked by quadratic computational…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Ahmed Marouane Djouama , Abir Belaala , Abdellah Zakaria Sellam , Salah Eddine Bekhouche , Cosimo Distante , Abdenour Hadid

In this paper we outline a method for a compiler to translate any non fault tolerant quantum circuit to the geometric representation of the lattice surgery error-correcting code using inherent merge and split operations. Since the…

Quantum Physics · Physics 2017-01-27 Daniel Herr , Franco Nori , Simon J. Devitt
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