Finite Difference Preconditioner; Iterative Method; Spectral Element Method; Elliptic Operator - Articles

Finite Difference Preconditioners for Legendre Based Spectral Element Methods on Elliptic Boundary Value Problems (Articles)

Seonhee Kim, Amik St-Cyr, Sang Dong Kim

Applied Mathematics Vol.4 No.5, May 22, 2013

DOI: 10.4236/am.2013.45115 3,660 Downloads 5,906 Views Citations
Preconditioned Iterative Method for Regular Splitting (Articles)

Toshiyuki Kohno

Advances in Pure Mathematics Vol.7 No.2, February 9, 2017

DOI: 10.4236/apm.2017.72009 1,804 Downloads 2,952 Views Citations
This article belongs to the Special Issue on Linear Algebra and Its Applications
The Numerical Solution of Poisson Equation with Dirichlet Boundary Conditions (Articles)

Peng Guo

Journal of Applied Mathematics and Physics Vol.9 No.12, December 9, 2021

DOI: 10.4236/jamp.2021.912194 615 Downloads 5,808 Views Citations
An Introduction to Numerical Methods for the Solutions of Partial Differential Equations (Articles)

Manoj Kumar, Garima Mishra

Applied Mathematics Vol.2 No.11, November 30, 2011

DOI: 10.4236/am.2011.211186 15,906 Downloads 34,659 Views Citations
A Short Review on Computational Hydraulics in the Context of Water Resources Engineering (Articles)

Shiblu Sarker

Open Journal of Modelling and Simulation Vol.10 No.1, December 9, 2021

DOI: 10.4236/ojmsi.2022.101001 686 Downloads 3,244 Views Citations
A Spectral Method for Convection-Diffusion Equations (Articles)

Peng Guo, Qin Wang, Zhengang Zhao

Applied Mathematics Vol.13 No.12, December 30, 2022

DOI: 10.4236/am.2022.1312061 342 Downloads 1,759 Views Citations
A Finite Element Approximation of the Stokes Equations (Articles)

Samy Alami, Abdeslam Elakkad, Jawad El-Mekaoui, Ahmed Elkhalfi, Mohammed El Hammoumi

World Journal of Mechanics Vol.1 No.6, December 26, 2011

DOI: 10.4236/wjm.2011.16038 5,620 Downloads 11,061 Views Citations
Study of Axisymmetric Infinite Guide Lined with Locally Reacting Material without Flow Using DtN Operators (Articles)

Boureima Ouedraogo, Emmanuel Redon

Open Journal of Applied Sciences Vol.14 No.2, February 29, 2024

DOI: 10.4236/ojapps.2024.142041 176 Downloads 571 Views Citations
Finite Element Solution of a Problem for Gravity Gyroscopic Equation in the Time Domain (Articles)

Mikhail Nikolayevich Moskalkov, Dauletbay Utebaev

Applied Mathematics Vol.5 No.8, May 5, 2014

DOI: 10.4236/am.2014.58105 3,763 Downloads 5,438 Views Citations
Comparison of Fixed Point Methods and Krylov Subspace Methods Solving Convection-Diffusion Equations (Articles)

Xijian Wang

American Journal of Computational Mathematics Vol.5 No.2, June 9, 2015

DOI: 10.4236/ajcm.2015.52010 3,096 Downloads 4,215 Views Citations
Iterative Solution of Mesh Constrained Optimal Control Problems with Two-Level Mesh Approximations of Parabolic State Equation (Articles)

A. Lapin, E. Laitinen

Journal of Applied Mathematics and Physics Vol.6 No.1, January 5, 2018

DOI: 10.4236/jamp.2018.61007 1,014 Downloads 2,336 Views Citations
High-Order FEM Formulation for 3-D Slope Instability (Articles)

Tiwari Ram Chandra, Bhandary Netra Prakash, Yatabe Ryuichi

Applied Mathematics Vol.4 No.5A, May 21, 2013

DOI: 10.4236/am.2013.45A002 5,646 Downloads 9,165 Views Citations
This article belongs to the Special Issue on Finite Element Method
A Computational Study with Finite Element Method and Finite Difference Method for 2D Elliptic Partial Differential Equations (Articles)

George Papanikos, Maria Ch. Gousidou-Koutita

Applied Mathematics Vol.6 No.12, November 30, 2015

DOI: 10.4236/am.2015.612185 4,257 Downloads 7,485 Views Citations
Conjugate Gradient Method to Solve Fluid Structure Interaction Problem (Articles)

Mamadou Diop, Ibrahima Mbaye

Applied Mathematics Vol.8 No.4, April 24, 2017

DOI: 10.4236/am.2017.84036 1,614 Downloads 3,323 Views Citations
Computational Analysis of Incompressible Pipe Flow in Sudan: Numerical Method Comparison and Navier-Stokes Validation (Articles)

Sheima M. E. Abueldahab, Osman Elmekki, Mohsin Hassan Hashim

Open Access Library Journal Vol.13 No.3, March 20, 2026

DOI: 10.4236/oalib.1114983 46 Downloads 317 Views Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation (Articles)

N. H. Sweilam, M. M. Khader, M. Adel

Applied Mathematics Vol.5 No.19, November 18, 2014

DOI: 10.4236/am.2014.519301 5,311 Downloads 7,244 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation (Articles)

Ning Chen, Haiming Gu

American Journal of Computational Mathematics Vol.5 No.3, August 31, 2015

DOI: 10.4236/ajcm.2015.53025 5,343 Downloads 6,671 Views Citations
Iterative Solution Methods for a Class of State and Control Constrained Optimal Control Problems (Articles)

Erkki Laitinen, Alexander Lapin

Applied Mathematics Vol.3 No.12, December 12, 2012

DOI: 10.4236/am.2012.312253 3,254 Downloads 5,705 Views Citations
Numerical Simulation of Stress-Strain State for Nonhomogeneous Shell-Type Structures Based on the Finite Element Method (Articles)

Eteri L. Hart, Vadim S. Hudramovich, Sergey A. Ryabokon, Elena V. Samarskaya

Modeling and Numerical Simulation of Material Science Vol.3 No.4, October 15, 2013

DOI: 10.4236/mnsms.2013.34022 3,491 Downloads 5,869 Views Citations
Study of Longitudinal Oscillations of a Building on the Basis of Continuum Plate Model (Articles)

Makhamatali K. Usarov, Gayratjon T. Ayubov

Journal of Applied Mathematics and Physics Vol.6 No.9, September 30, 2018

DOI: 10.4236/jamp.2018.69164 744 Downloads 1,623 Views Citations

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