A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

A reduced fourth-order compact difference scheme based on a proper orthogonal decomposition technique for parabolic equations

Abstract In this paper, we present a reduced high-order compact finite difference scheme for numerical solution of the parabolic equations. CFDS4 is applied to attain high accuracy for numerical solution of parabolic equations, but its computational efficiency still needs to be improved. Our approac...

Полное описание

Библиографические подробности
Главные авторы:	Baozou Xu, Xiaohua Zhang
Формат:	Статья
Язык:	English
Опубликовано:	SpringerOpen 2019-07-01
Серии:	Boundary Value Problems
Предметы:	Proper orthogonal decomposition Parabolic equations Compact finite difference scheme
Online-ссылка:	http://link.springer.com/article/10.1186/s13661-019-1243-8

Схожие документы

An efficient high-order compact finite difference scheme based on proper orthogonal decomposition for the multi-dimensional parabolic equation
по: Baozou Xu, и др.
Опубликовано: (2019-08-01)

Proper orthogonal decomposition method for some parabolic type equations
по: Gerda Jankevičiūtė, и др.
Опубликовано: (2012-12-01)

Proper-orthogonal-decomposition study of turbulent near wake of S805 airfoil in deep stall
по: Wu, Yanhua, и др.
Опубликовано: (2018)

Applying Proper Orthogonal Decomposition to Parabolic Equations: A Reduced Order Numerical Approach
по: Mircea MORARU
Опубликовано: (2024-03-01)

MODULO: A software for Multiscale Proper Orthogonal Decomposition of data
по: Davide Ninni, и др.
Опубликовано: (2020-07-01)

Study on Burnup Calculation Method Based on Proper Orthogonal Decomposition Reduced-order
по: ZHANG Binhang1;BI Yanzhao1;GONG Hanyuan1;ZHANG Yonghong1,*;YUAN Xianbao2
Опубликовано: (2023-10-01)

Unsteady Flow Sensing and Estimation via the Gappy Proper Orthogonal Decomposition
по: Willcox, Karen E.
Опубликовано: (2003)

Proper orthogonal decomposition method for Schrödinger equation
по: Raimondas Čiegis, и др.
Опубликовано: (2013-12-01)

Order reduction of matrix exponentials by proper orthogonal decomposition
по: Mohammad Dehghan Nayyeri, и др.
Опубликовано: (2023-11-01)

An Application of a Modified Gappy Proper Orthogonal Decomposition on Complexity Reduction of Allen-Cahn Equation
по: Chutipong Dechanubeksa, и др.
Опубликовано: (2020-06-01)

A Group Condensation Method Based on Proper Orthogonal Decomposition
по: WU Shifu;ZHANG Qian;ZHANG Jinchao;ZHAO Qiang
Опубликовано: (2023-08-01)

Approximate Low Dimensional Models Based on Proper Orthogonal Decomposition for Black-Box Applications
по: Ali, S., и др.
Опубликовано: (2007)

Proper Orthogonal Decomposition of Flow Past Parallel Twin Cylinders
по: Jun-hui WANG, и др.
Опубликовано: (2023-07-01)

Numerical investigation on the cavitating wake flow around a cylinder based on proper orthogonal decomposition
по: Guangjian Zhang, и др.
Опубликовано: (2023-12-01)

Rapid Reconstruction of Simulated and Experimental Temperature Fields Based on Proper Orthogonal Decomposition
по: Minxin Chen, и др.
Опубликовано: (2020-05-01)

Analysis of the 3D flow of an impinging jet on a slotted plate using TR-Tomo PIV and Proper Orthogonal Decomposition
по: Jana Hamdi, и др.
Опубликовано: (2020-12-01)

A Numerical Study of the Hydrodynamic Noise of Podded Propulsors Based on Proper Orthogonal Decomposition
по: Changsheng Chen, и др.
Опубликовано: (2023-10-01)

A Reduced-Dimension Weighted Explicit Finite Difference Method Based on the Proper Orthogonal Decomposition Technique for the Space-Fractional Diffusion Equation
по: Xuehui Ren, и др.
Опубликовано: (2024-07-01)

Applications of Proper Orthogonal Decomposition for Inviscid Transonic Aerodynamics
по: Tan, Bui-Thanh, и др.
Опубликовано: (2003)

Proper orthogonal decomposition and radial basis functions algorithm for diagnostic procedure based on inverse analysis
по: Buljak Vladimir
Опубликовано: (2010-01-01)

Thermal field reconstruction and compressive sensing using proper orthogonal decomposition
по: John Matulis, и др.
Опубликовано: (2024-02-01)

Comparison of Flow Behavior in Saccular Aneurysm Models Using Proper Orthogonal Decomposition
по: Paulo Yu, и др.
Опубликовано: (2022-03-01)

Non-Intrusive Reduced-Order Modeling Based on Parametrized Proper Orthogonal Decomposition
по: Teng Li, и др.
Опубликовано: (2023-12-01)

Analysis of V-Gutter Reacting Flow Dynamics Using Proper Orthogonal and Dynamic Mode Decompositions
по: Yang Yang, и др.
Опубликовано: (2020-09-01)

Analysis of Unsteady Flow Structures in a Centrifugal Impeller Using Proper Orthogonal Decomposition
по: Z. Y. Liao, и др.
Опубликовано: (2021-01-01)

Parameterized Reduced-Order Models for Probabilistic Analysis of Thermal Protection System Based on Proper Orthogonal Decomposition
по: Kun Zhang, и др.
Опубликовано: (2024-03-01)

Bridge Health Monitoring Using Proper Orthogonal Decomposition and Transfer Learning
по: Samira Ardani, и др.
Опубликовано: (2023-02-01)

Proper Orthogonal Decomposition Analysis of an Airfoil Performances under a Small Vortical Gust
по: M. M. Oueslati, и др.
Опубликовано: (2022-11-01)

Compact difference scheme for time-fractional nonlinear fourth-order diffusion equation with time delay
по: Hongxia Xie, и др.
Опубликовано: (2022-11-01)

Chaotic systems learning with hybrid echo state network/proper orthogonal decomposition based model
по: Mathias Lesjak, и др.
Опубликовано: (2021-01-01)

Parameter identification method for multibody systems incorporating the adjoint method and feature extraction based on the proper orthogonal decomposition
по: Ryoya NISHI, и др.
Опубликовано: (2023-07-01)

Physics-driven proper orthogonal decomposition: A simulation methodology for partial differential equations
по: Alessandro Pulimeno, и др.
Опубликовано: (2023-01-01)

Proper Orthogonal Decomposition and Spectral Analysis of a Wall-Mounted Square Cylinder Wake
по: Henrique Fanini Leite, и др.
Опубликовано: (2018-05-01)

Mean Reattachment Length of Roof Separation Bubbles Using Proper Orthogonal Decomposition
по: Hee Jung Ham, и др.
Опубликовано: (2023-12-01)

Dynamics of Large Scale Turbulence in Finite-Sized Wind Farm Canopy Using Proper Orthogonal Decomposition and a Novel Fourier-POD Framework
по: Tanmoy Chatterjee, и др.
Опубликовано: (2020-04-01)

Proper orthogonal decomposition method of constructing a reduced-order model for solving partial differential equations with parametrized initial values
по: Yuto Nakamura, и др.
Опубликовано: (2024-03-01)

Analysis of Multi-Stream Fuel Injector Flow Using Zonal Proper Orthogonal Decomposition
по: Daniel Butcher, и др.
Опубликовано: (2021-03-01)

Fast Vibration Reduction Optimization Approach for Complex Thin-Walled Shells Accelerated by Global Proper Orthogonal Decomposition Reduced-Order Model
по: Yongxin Shi, и др.
Опубликовано: (2022-12-01)

Modified Mahalanobis-Taguchi System based on proper orthogonal decomposition for high-dimensional-small-sample-size data classification
по: Ting Mao, и др.
Опубликовано: (2021-04-01)

Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
по: Ângela M. Ribau, и др.
Опубликовано: (2021-10-01)