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The Academy of Sciences and the Soviet Nuclear Project

HERALD OF THE RUSSIAN ACADEMY OF SCIENCES 2021年第3期91卷 231-238页

作者： Il'kaev, R. I. Ryabev, L. D. All Russia Res Inst Expt Phys Russian Fed Nucl Ctr Sarov Russia

The contribution of the USSR Academy of Sciences to the implementation of the Atomic Project is discussed. Examples of scientific, technical, and personnel support by the Academy of Sciences for work on atomic and hydrogen weapons in the Soviet Union are given. The outstanding contribution of scientists of the USSR Academy of Sciences to the creation of nuclear and thermonuclear weapons in our country is noted. The need for close cooperation between RAS scientists and the Rosatom State Corporation is emphasized.

关键词： atomic project USSR Academy of Sciences high energy density physics nuclear physics RAS computational mathematics

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TOWARDS THE UNDERSTANDING OF THE MELTING HEAT TRANSFER IN A CU-WATER NANOFLUID FLOW

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JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS 2022年第5期95卷 1207-1213页

作者： Das, K. Krishnagar Govenunent Coll Dept Math Krishnagar 741101 WB India

The influence of the melting heat on the hydromagnetic convective Cu-H2O nanofluid flow over a stretching plate was investigated. The effects of viscous dissipation and Joule heating, involved in the energy equation, were considered. The primary equations were reduced to the ordinary differential equations with the use of suitable similarity transforms. The reduced equations were solved using the shooting technique by the fourth-order Runge- Kutta scheme. A detailed investigation is exemplified by diagrams and tables for various values of opposite factors. The results of calculations were compared with the corresponding literature data obtained for specific situations.

关键词： computational mathematics nanofluid melting heat transfer magnetic field

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Computer assisted investigation of alienness of linear functional equations

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AEQUATIONES MATHEMATICAE 2023年第5-6期97卷 1185-1199页

作者： Gilanyi, Attila To, Lan Nhi Univ Debrecen Fac Informat Egyet Ter 1 H-4032 Debrecen Hungary Univ Debrecen Doctoral Sch Math & Computat Sci Egyet Ter 1 H-4032 Debrecen Hungary

In this paper, a computer program developed in the computer algebra system Maple is presented, which investigates alienness and strong alienness of linear functional equations.

关键词： Linear functional equations Systems of functional equations Polynomials Monomials Alienness Computer assisted methods computational mathematics

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Clause-level Relationship-aware Math Word Problems Solver

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Machine Intelligence Research 2022年第5期19卷 425-438页

作者： Chang-Yang Wu Xin Lin Zhen-Ya Huang Yu Yin Jia-Yu Liu Qi Liu Gang Zhou Anhui Province Key Laboratory of Big Data Analysis and Application School of Data ScienceUniversity of Science and Technology of ChinaHefei 230026China Institute of Artificial Intelligence Hefei Comprehensive National Science CenterHefei 230088China Laboratory of Mathematical Engineering and Advanced Computing Information Engineering UniversityZhengzhou 450001China

Automatically solving math word problems,which involves comprehension,cognition,and reasoning,is a crucial issue in artificial intelligence *** math word problem solvers mainly work on word-level relationship extraction and the generation of expression solutions while lacking consideration of the clause-level *** this end,inspired by the theory of two levels of process in comprehension,we propose a novel clause-level relationship-aware math solver(CLRSolver)to mimic the process of human comprehension from lower level to higher ***,in the lower-level processes,we split problems into clauses according to their natural division and learn their *** the higher-level processes,following human′s multi-view understanding of clause-level relationships,we first apply a CNN-based module to learn the dependency relationships between clauses from word relevance in a local ***,we propose two novel relationship-aware mechanisms to learn dependency relationships from the clause semantics in a global ***,we enhance the representation of clauses based on the learned clause-level dependency *** expression generation,we develop a tree-based decoder to generate the mathematical *** conduct extensive experiments on two datasets,where the results demonstrate the superiority of our framework.

关键词： Artificial intelligence(AI) artificial neural network(ANN) computational mathematics machine intelligence machine learning

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Entropy generation effect of a buoyancy force on hydromagnetic heat generating couple stress fluid through a porous medium with isothermal boundaries

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HELIYON 2020年第6期6卷 e04156页

作者： Hassan, Anthony R. Disu, Akeem B. Fenuga, Olugbenga J. Tai Solarin Univ Educ Dept Math Ijagun Ogun State Nigeria Natl Open Univ Nigeria Dept Math Jabi Abuja Nigeria Univ Nigeria Lagos Dept Math Akoka Lagos State Nigeria

This investigation addresses the influence of a buoyancy force on the flow of a couple stress hydromagnetic heat generating fluid across a porous channel with isothermal boundaries. The analytical formulations for the momentum and energy equations are derived to seek the solutions for the rate of fluid momentum, heat transfer and the rate of entropy generation with the use of a well known and efficient series solution of Adomian decomposition method (ADM). The findings are compared with earlier acquired findings for validation and hereby showed the speedy convergence of the series solution. The results showed the substantial influence of inward warmth inside the stream and buoyancy force on the motion and thermal energy of the flow system. Also, the activities of entropy generation generally occur maximally at the centreline of the flow stream with significant reduction with respect to buoyancy force and magnetic field strength.

关键词： Applied mathematics computational mathematics mathematics Mechanical engineering Thermodynamics computational fluid dynamics computational heat transfer Couple stress fluid Porous medium Entropy generation Internal heat generation Buoyancy force Adomian decomposition method

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APPROXIMATE ZEROS OF QUADRATICALLY CONVERGENT ALGORITHMS

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mathematics OF COMPUTATION 1994年第207期63卷 247-270页

作者： CHEN, PY Department of Mathematics and Computer Science Gustavus Adolphus College

Smale's condition for a point to be an approximate zero of a function for Newton's method is extended to the general quadratically convergent iterative algorithm. It is shown in which way the bound in the condition is affected by the characteristics of the algorithm. This puts the original condition of Smale for Newton's method in a more general perspective. The results are also discussed in the light of numerical evidence.

关键词： Approximate zero Newton approximation methods Newtons method Mathematical constants computational mathematics Polynomials Mathematical theorems Real lines Taylor series

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A fully continuous individual-based model of tumor cell evolution

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COMPTES RENDUS BIOLOGIES 2008年第11期331卷 823-836页

作者： Gomez-Mourelo, Pablo Sanchez, Eva Casasus, Luis Webb, Glenn F. Univ Politecn Madrid ETSI Ind Dpto Matemat Aplicada E-28006 Madrid Spain Vanderbilt Univ Dept Math Nashville TN 37240 USA

The aim of this work is to develop and study a fully continuous individual-based model (IBM) for cancer tumor invasion into a spatial environment of surrounding tissue. The IBM improves previous spatially discrete models, because it is continuous in all variables (including spatial variables), and thus not constrained to lattice frameworks. The IBM includes four types of individual elements: tumor cells, extracellular macromolecules (MM), a matrix degradative enzyme (MDE), and oxygen. The algorithm underlying the IBM is based on the dynamic interaction of these fourelements in the spatial environment, with special consideration of mutation phenotypes. A set of stochastic differential equations is formulated to describe the evolution of the IBM in an equivalent way. The IBM is scaled up to a system of partial differential equations (PIDE) representing the limiting behavior of the IBM as the number of cells and molecules approaches infinity. Both models (IBM and PDE) are numerically simulated with two kinds of initial conditions: homogeneous MM distribution and heterogeneous MM distribution. With both kinds of initial MM distributions spatial fingering patterns appear in the tumor growth. The output of both simulations is quite similar. To cite this article: P Gomez-Mourelo et al., C R. Biologies 331 (2008). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

关键词： Individual-based models computational mathematics

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John W. Tukey: His life and professional contributions

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ANNALS OF STATISTICS 2002年第6期30卷 1535-+页

作者： Brillinger, DR Univ Calif Berkeley Dept Stat Berkeley CA 94720 USA

As both practicing data analyst and scientific methodologist, John W. Tukey made an immense diversity of contributions to science, government and industry. This article reviews some of the highly varied aspects of his life. Following articles address specific contributions to important areas of statistics. I believe that the whole country-scientifically, industrially, financially-is better off because of him and bears evidence of his influence.

关键词： Bell Labs computational mathematics computers cryptography data analysis history information theory John W. Tukey mathematics neologisms Princeton University statistics

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Motion of dust ejected from the surface of asteroid (101955) Bennu

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HELIYON 2020年第10期6卷 e05275页

作者： Jiang, Yu Schmidt, Jurgen Xian Satellite Control Ctr State Key Lab Astronaut Dynam Xian Peoples R China Tsinghua Univ Sch Aerosp Engn Beijing 100084 Peoples R China Univ Oulu Astron Res Unit Oulu Finland

From Jan. 6, 2019 to Feb. 18, 2019, OSIRIS-REx observed asteroid (101955) Bennu ejecting 11 plumes of dust, of which part is escaping and another part is re-captured by the asteroid. The relative magnitudes of the typical forces acting on the emitted dust are quite different from the environments of the planets and other minor planets in the solar system. Here we show that ejected dust grains from the surface of Bennu can be caught in the gravitational field of Bennu. To this end, we calculated numerically the trajectories of dust grains of various sizes, from the 0.1 mu m to the ten millimeter range. The shape and the fate of an emitted cloud of particles depend on the size of the grains: smaller grains form a more narrowly confined dust trail while trails formed by larger grains disperse more rapidly. Four different fates are possible for ejected dust. All grains with radius less than 1.0 mu m, directly re-impact on Bennu or they escape directly. In contrast, a fraction of grains with a radius larger than 10.0 mu m will impact or escape only after performing a number of non-Keplerian revolutions around Bennu. Our findings show how dust grains may populate the vicinity of Bennu and other active asteroids and that they can reach interplanetary space and other celestial bodies, implying that organic matter can be transported from carbonaceous asteroids to other celestial bodies, including Earth.

关键词： Applied mathematics Astrophysics computational mathematics Mechanics Planetary sciences Dust emmision Dust dynamics Dust trail Asteroid

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The amplitude of the coherent backscattering intensity peak for discrete random media: Effect of packing density

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KINEMATICS AND PHYSICS OF CELESTIAL BODIES 2010年第3期26卷 95-103页

作者： Mishchenko, M. I. NASA Goddard Inst Space Studies New York NY 10025 USA Natl Acad Sci Ukraine Main Astron Observ UA-03680 Kiev Ukraine

The amplitude of the coherent backscattering intensity peak is computed for a medium composed of densely packed, randomly positioned particles. The cyclical component of the Stokes reflection matrix at exactly the backscattering direction is expressed in terms of the ladder component, and the ladder component is rigorously computed by numerically solving the vector radiative transfer equation. The effect of packing density is accounted for by multiplying the single-scattering Mueller matrix by the static structure factor computed in the Percus-Yevick approximation. It is shown that increasing packing density can substantially reduce the amplitude of the copolarized coherent backscattering peak, especially for smaller particles, and can make it significantly lower than 2. The effect of packing density on the amplitude of the cross-polarized peak is significantly weaker.

关键词： Astrophysics computational mathematics Diffusion Spheres Radiation

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