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Algebraic Theory of Differential and Functional Equations: from Foundations to Computation

Algebraic Theory of Differential and Functional Equations: from Foundations to Computation
微分方程和泛函方程的代数理论:从基础到计算
批准号:
1606334
负责人:
Alexey Ovchinnikov
金额:
$3.5万
依托单位:
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2016
资助国家:
美国
项目状态:
已结题
起止时间:
2016-05-01 至 2017-04-30

项目摘要

项目成果

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中文摘要
翻译
微分代数及相关主题(DART)第七届会议将于2016年9月30日至10月4日在纽约市立大学研究生中心和城市学院举行。微分代数是一门从代数角度研究微分方程和差分方程的学科。对这类方程的研究在数学之外有许多应用,包括生物学(种群动力学和细胞生物学)、化学反应和物理学。会议的目的是将那些为这些类型的方程开发理论的研究人员和那些为这些方程开发算法的研究人员聚集在一起。DART国际会议系列始于2000年,近年来已成为年度活动。本研究领域包括微分与差分伽罗瓦理论、微分与差分消元、交换代数与代数几何中的符号计算、模型理论。会议将促进微分和差分代数研究者与模型理论、代数几何和交换代数研究者之间的新互动。我们将特别注意指导年轻的研究人员。更多信息可在会议网站上找到:http://qcpages.qc.cuny.edu/~aovchinnikov/DART7/index.html
英文摘要
The Differential Algebra and Related Topics (DART) VII conference will be held at the CUNY Graduate Center and City College, 09/30-10/04/2016, in New York City. The subject of differential algebra concerns the study of differential and difference equations from an algebraic point of view. The study of these types of equations has many applications outside of mathematics, including biology (population dynamics and cellular biology), chemical reactions, and physics. The aim of the conference is to bring together researchers who develop theory for these types of equations and those who develop algorithms for working with them.The DART international conference series started in 2000 and has become an annual activity in the recent years. This research area includes differential and difference Galois theories, differential and difference elimination, symbolic computation in commutative algebra and algebraic geometry, and model theory. The conference will foster the new interactions between researchers in differential and difference algebra and researchers in model theory, algebraic geometry, and commutative algebra. Special attention will be paid to mentoring the participants who are junior researchers. Additional information can be found at the conference website: http://qcpages.qc.cuny.edu/~aovchinnikov/DART7/index.html
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会议论文
Collaborative Research: CCF: AF: Medium: Validated Soft Approaches to Parametric ODE Solving
  • 批准号:
    2212460
  • 项目类别:
    Continuing Grant
  • 资助金额:
    $38.85万
  • 财政年份:
    2022
  • 负责人:
    Alexey Ovchinnikov
  • 依托单位:
Collaborative Research: Efficient Methods for Identifiability of Dynamic Models
  • 批准号:
    1853650
  • 项目类别:
    Standard Grant
  • 资助金额:
    $23.73万
  • 财政年份:
    2019
  • 负责人:
    Alexey Ovchinnikov
  • 依托单位:
FRG: Collaborative Research: Model Theory of Differential and Difference Equations with Applications
  • 批准号:
    1760448
  • 项目类别:
    Standard Grant
  • 资助金额:
    $27.16万
  • 财政年份:
    2018
  • 负责人:
    Alexey Ovchinnikov
  • 依托单位:
International Symposium on Symbolic and Algebraic Computation
  • 批准号:
    1708884
  • 项目类别:
    Standard Grant
  • 资助金额:
    $1.8万
  • 财政年份:
    2017
  • 负责人:
    Alexey Ovchinnikov
  • 依托单位:
国内基金
海外基金
Research on Quantum Field Theory without a Lagrangian Description
  • 批准号:
    24ZR1403900
  • 项目类别:
    省市级项目
  • 资助金额:
    --
  • 批准年份:
    2024
  • 负责人:
    SATOSHI NAWATA
  • 依托单位:
基于isomorph theory研究尘埃等离子体物理量的微观动力学机制
  • 批准号:
    12247163
  • 项目类别:
    专项项目
  • 资助金额:
    18.00万元
  • 批准年份:
    2022
  • 负责人:
    黄栋
  • 依托单位:
Toward a general theory of intermittent aeolian and fluvial nonsuspended sediment transport
  • 批准号:
    --
  • 项目类别:
    --
  • 资助金额:
    55万元
  • 批准年份:
    2022
  • 负责人:
    Thomas Pahtz
  • 依托单位:
英文专著《FRACTIONAL INTEGRALS AND DERIVATIVES: Theory and Applications》的翻译
  • 批准号:
    12126512
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    12.0万元
  • 批准年份:
    2021
  • 负责人:
    李常品
  • 依托单位: