PDES

作品数:155被引量:284H指数:7
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相关领域:自动化与计算机技术理学更多>>
相关作者:王学慧范丽亚姚益平张磊林健更多>>
相关机构:国防科学技术大学山东大学北京航空航天大学聊城大学更多>>
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Techniques,Tricks,and Algorithms for Efficient GPU-Based Processing of Higher Order Hyperbolic PDEs
《Communications on Applied Mathematics and Computation》2024年第4期2336-2384,共49页Sethupathy Subramanian Dinshaw S.Balsara Deepak Bhoriya Harish Kumar 
support via the NSF grants NSF-19-04774,NSF-AST-2009776,NASA-2020-1241;the NASA grant 80NSSC22K0628。
GPU computing is expected to play an integral part in all modern Exascale supercomputers.It is also expected that higher order Godunov schemes will make up about a significant fraction of the application mix on such s...
关键词:PDES Numerical schemes-Mimetic High performance computing 
DEPs/木质素复合黏结剂的制备及性能研究
《包装工程》2024年第15期30-40,共11页刘学 何明辉 袁鹏飞 左帅 陈广学 
国家自然科学基金(51973065);广东省自然科学基金(2020A1515011381)。
目的低共熔聚合物(DEPs)具有绿色环保、可设计性及生物相容性等特性,通过共混木质素(Lignin)合成制备具有良好的力学性能、热学性能和电化学性能的聚合物复合黏结剂,并探索其在新能源电池电极涂层领域的应用。方法以合成得到的可聚合低...
关键词:黏结剂 低共熔聚合物(DEPs) 木质素 可聚合低共熔溶剂(PDES)单体 硅电极 
Meta-Auto-Decoder:a Meta-Learning-Based Reduced Order Model for Solving Parametric Partial Differential Equations
《Communications on Applied Mathematics and Computation》2024年第2期1096-1130,共35页Zhanhong Ye Xiang Huang Hongsheng Liu Bin Dong 
supported by the National Key R&D Program of China under Grant No.2021ZD0110400.
Many important problems in science and engineering require solving the so-called parametric partial differential equations(PDEs),i.e.,PDEs with different physical parameters,boundary conditions,shapes of computational...
关键词:Parametric partial differential equations(PDEs) META-LEARNING Reduced order modeling Neural networks(NNs) Auto-decoder 
A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem onImplicit Surfaces
《Communications on Applied Mathematics and Computation》2024年第2期1189-1216,共28页Young Kyu Lee Shingyu Leung 
supported in part by the Hong Kong RGC 16302223.
We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit surfaces.The approach follows an embedding approach for solving the surface eikonal eq...
关键词:Laplace-Beltrami operator Level set method Implicit representation EIGENVALUES Numerical PDEs 
高阶高度非线性强耦合偏微分方程组数值解实现方法——以渗蚀强耦合偏微分方程组为例
《景德镇学院学报》2024年第3期1-6,共6页魏海江 薛瑞 梁刚 曹成 杨天 张訢炜 
国家自然科学基金项目(52209167);江西省教育厅科技研究项目(GJJ202807)。
为实现高阶高度非线性强耦合偏微分方程组(Partial Differential Equations,PDEs)的数值求解,本文以渗蚀强耦合PDEs为典型案例,剖析了PDEs的高阶高度非线性,结合空间映射,基于弱形式建模与分离式算法,实现了渗蚀强耦合PDEs的数值求解,...
关键词:多场强耦合PDEs 高阶高度非线性 弱形式 求解方法 
A Novel Method for Linear Systems of Fractional Ordinary Differential Equations with Applications to Time-Fractional PDEs
《Computer Modeling in Engineering & Sciences》2024年第5期1583-1612,共30页Sergiy Reutskiy Yuhui Zhang Jun Lu Ciren Pubu 
funded by the National Key Research and Development Program of China(No.2021YFB2600704);the National Natural Science Foundation of China(No.52171272);the Significant Science and Technology Project of the Ministry of Water Resources of China(No.SKS-2022112).
This paper presents an efficient numerical technique for solving multi-term linear systems of fractional ordinary differential equations(FODEs)which have been widely used in modeling various phenomena in engineering a...
关键词:System of FODEs numerical solution Müntz polynomial basis time fractional PDE BSM collocation method 
Correction to:EPHA2 feedback activation limits the response to PDEs inhibition in KRAS-dependent cancer cells
《Acta Pharmacologica Sinica》2024年第5期1093-1094,共2页Yue-hong Chen Hao Lv Ning Shen Xiao-min Wang Shuai Tang Bing Xiong Jian Ding Mei-yu Geng Min Huang 
Correction to:Acta Pharmacologica Sinica https://doi.org/10.1038/s41401-019-0268-y,published online 17 July 2019 The authors are very sorry for two inadvertent mistakes in the figures:the images of immunoblot showing ...
关键词:KRAS ACTIVATION preparation 
基于自适应神经网络的PDEs求解研究
《佳木斯大学学报(自然科学版)》2024年第3期174-177,共4页彭杰 张玉武 
安徽省教育厅2021年省级安徽省高校优秀拔尖人才培育资助项目(gxgnfx2021194);安徽省高校优秀拔尖人才培育资助项目(gxgnfx2021196)。
针对当前基于神经网络的PDEs求解方法效率和精度均不够理想的缺陷,研究提出一种基于改进BP神经网络(BP neural network,BPNN)的PDEs求解模型。首先,参照自适应网格法来改进神经网络结构,构建自适应神经网络,改进模型的输出精度;其次,提...
关键词:偏微分方程 神经网络 海鸥优化算法 鲸鱼优化 
Physical informed memory networks for solving PDEs:implementation and applications
《Communications in Theoretical Physics》2024年第2期51-61,共11页Jiuyun Sun Huanhe Dong Yong Fang 
With the advent of physics informed neural networks(PINNs),deep learning has gained interest for solving nonlinear partial differential equations(PDEs)in recent years.In this paper,physics informed memory networks(PIM...
关键词:nonlinear partial differential equations physics informed memory networks physics informed neural networks numerical solution 
Local Radial Basis Function Methods: Comparison, Improvements, and Implementation
《Journal of Applied Mathematics and Physics》2023年第12期3867-3886,共20页Scott A. Sarra 
Radial Basis Function methods for scattered data interpolation and for the numerical solution of PDEs were originally implemented in a global manner. Subsequently, it was realized that the methods could be implemented...
关键词:Radial Basis Functions Shape Parameter Selection Quasi-Random Centers Numerical PDEs Scientific Computing Open Source Software Python Programming Language Reproducible Research 
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