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Scientific computation is a discipline that combines numerical analysis, physical understanding, algorithm development, and structured programming. Several yottacycles per year on the world's largest computers are spent simulating problems…

Programming Languages · Computer Science 2018-01-10 Matthew G. Knepley

High-Performance Computing (HPC) platforms enable scientific software to achieve breakthroughs in many research fields such as physics, biology, and chemistry, by employing Research Software Engineering (RSE) techniques. These include 1)…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-16 Matan Rusanovsky , Re'em Harel , Lee-or Alon , Idan Mosseri , Harel Levin , Gal Oren

Information and communications technology can continue to change our world. These advances will partially depend upon designs that synergistically combine software with specialized hardware. Today open-source software incubates rapid…

Computers and Society · Computer Science 2017-06-28 Luis Ceze , Mark D. Hill , Karthikeyan Sankaralingam , Thomas F. Wenisch

The universal object oriented languages made programming more simple and efficient. In the article is considered possibilities of using similar methods in computer algebra. A clear and powerful universal language is useful if particular…

Programming Languages · Computer Science 2016-08-31 Alexander Yu. Vlasov

The differentiable programming paradigm is a cornerstone of modern scientific computing. It refers to numerical methods for computing the gradient of a numerical model's output. Many scientific models are based on differential equations,…

As research in the Internet of Thing area progresses, and a multitude of proposals exist to solve a variety of problems, the need for a general principled software engineering approach for the systematic development of IoT systems and…

Software Engineering · Computer Science 2016-01-22 Franco Zambonelli

This thesis is intended to provide an account of the theory and applications of Operational Methods that allow the "translation" of the theory of special functions and polynomials into a "different" mathematical language. The language we…

Classical Analysis and ODEs · Mathematics 2018-03-09 Silvia Licciardi

This paper introduces an effort to incorporate reconfigurable logic (FPGA) components into a software programming model. For this purpose, we have implemented a hardware engine for remote memory communication between hardware computation…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-22 Ruediger Willenberg , Paul Chow

Combinatorics, like computer science, often has to deal with large objects of unspecified (or unusable) structure. One powerful way to deal with such an arbitrary object is to decompose it into more usable components. In particular, it has…

Combinatorics · Mathematics 2011-11-10 Terence Tao

We describe how one may go about performing quantum computation with arbitrary "quantum stuff", as long as it has some basic physical properties. Imagine a long strip of stuff, equipped with regularly spaced wires to provide input settings…

Quantum Physics · Physics 2019-12-03 Lucien Hardy , Adam G. M. Lewis

We discuss various universality aspects of numerical computations using standard algorithms. These aspects include empirical observations and rigorous results. We also make various speculations about computation in a broader sense.

Probability · Mathematics 2017-03-24 Percy Deift , Thomas Trogdon

The notion of programming paradigms, with associated programming languages and methodologies, is a well established tenet of Computer Science pedagogy, enshrined in international curricula. However, this notion sits ill with Kuhn's classic…

Programming Languages · Computer Science 2020-02-17 Greg Michaelson

Chemputation reframes synthesis as the programmable execution of reaction code on a universally re-configurable hardware graph. Here we prove that a chemputer equipped with a finite, but extensible, set of reagents, catalysts and process…

Emerging Technologies · Computer Science 2025-07-22 Leroy Cronin , Sebastian Pagel , Abhishek Sharma

Imagine coating buildings and bridges with smart particles (also coined smart paint) that monitor structural integrity and sense and report on traffic and wind loads, leading to technology that could do such inspection jobs faster and…

The equivalence test is a main part in any classification problem. It helps to prove bounds for the main parameters of the considered combinatorial structures and to study their properties. In this paper, we present algorithms for…

Discrete Mathematics · Computer Science 2022-02-07 Iliya Bouyukliev , Stefka Bouyuklieva

Symbolic computation is the science of computing with symbolic objects (terms, formulae, programs, algebraic objects, geometrical objects, etc). Powerful symbolic algorithms have been developed during the past decades and have played an…

Symbolic Computation · Computer Science 2013-07-31 Adel Bouhoula , Tetsuo Ida , Fairouz Kamareddine

Just as the $\lambda$-calculus uses three primitives (abstraction, application, variable) as the foundation of functional programming, inheritance-calculus uses three primitives (record, definition, inheritance) as the foundation of…

Programming Languages · Computer Science 2026-05-27 Bo Yang

We devise a unified framework for the design of canonization algorithms. Using hereditarily finite sets, we define a general notion of combinatorial objects that includes graphs, hypergraphs, relational structures, codes, permutation…

Data Structures and Algorithms · Computer Science 2019-04-09 Pascal Schweitzer , Daniel Wiebking

In this work we define an universal arithmetical algorithm, by means of the standard quantum mechanical formalism, called universal qm-arithmetical algorithm. By universal qm-arithmetical algorithm any decidable arithmetical formula…

Quantum Physics · Physics 2007-05-23 Vladan Pankovic , Milan Predojevic

Establishing correspondences across images is a fundamental challenge in computer vision, underpinning tasks like Structure-from-Motion, image editing, and point tracking. Traditional methods are often specialized for specific…

Computer Vision and Pattern Recognition · Computer Science 2025-01-28 Fei Xue , Sven Elflein , Laura Leal-Taixé , Qunjie Zhou
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