It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide, This PDF is available to Subscribers Only. 10.4236/ns.2010.211146 The stability and convergence of the proposed method have been established. 3,877 Downloads 4,690 Views Citations, Numerical Quadratures Using the Interpolation Method of Hurwitz-Radon Matrices (Articles), Advances in Linear Algebra & Matrix Theory 10.4236/am.2014.510138 2019, Article ID 3243510, 1 page, 2019. https://doi.org/10.1155/2019/3243510, 1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China, 2Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON M5S3G4, Canada, 3Beijing Computational Science Research Center, Beijing 100193, China. Please check your email address / username and password and try again. We are grateful to all the authors who have made a contribution to this special issue. Most users should sign in with their email address. 679 Downloads 969 Views Citations, A Computational Study with Finite Difference Methods for Second Order Quasilinear Hyperbolic Partial Differential Equations in Two Independent Variables (Articles), Pavlos Stampolidis, Maria Ch. Vol.3 No.8，August 26, 2015, DOI: 3,997 Downloads 4,970 Views Citations 21 Downloads 85 Views Citations, New Ninth Order J-Halley Method for Solving Nonlinear Equations (Articles), Farooq Ahmad, Sajjad Hussain, Sifat Hussain, Arif Rafiq, Applied Mathematics Sign up here as a reviewer to help fast-track new submissions. (2000) A solution method for consumption decisions in a dynamic stochastic general equilibrium model, Journal of Economic Dynamics and Control 24, 1097 – 1119. Tauchen , G. ( 1986 ) Finite state markov-chain approximations to univariate and vector autoregressions , … Vol.3 No.3，March 30, 2015, DOI: The solution of this problem exhibits layer or oscillatory behaviour depending on the sign of the sum of coefficients in reaction terms. Vol.4 No.12，December 5, 2013, DOI: 10.4236/am.2018.911079 619 Downloads 1,055 Views Citations, Quadrature Rules for Functions with a Mid-Point Logarithmic Singularity in the Boundary Element Method Based on the x = tp Substitution (Articles), Stephen M. Kirkup, Javad Yazdani, George Papazafeiropoulos, American Journal of Computational Mathematics Vol.9 No.11，November 13, 2018, DOI: Register, Oxford University Press is a department of the University of Oxford. 10.4236/jamp.2020.811180 The paper of M. A. Khan et al. International Journal for Numerical Methods in Biomedical Engineering supports Engineering Reports, a new Wiley Open Access journal dedicated to all areas of engineering and computer science.. With a broad scope, the journal is meant to provide a unified and reputable outlet for rigorously peer-reviewed and well-conducted scientific research.See the full Aims & Scope here. We are committed to sharing findings related to COVID-19 as quickly as possible. Vol.7 No.3，September 7, 2017, DOI: 10.4236/oalib.1103741 Sefton, J. A fourth order finite difference scheme on a uniform mesh is developed. 10.4236/am.2013.412233 Vol.5 No.9，October 16, 2017, DOI: Review articles are excluded from this waiver policy. Such equations often own different stiff terms. Don't already have an Oxford Academic account? Vol.4 No.4，April 30, 2013, DOI: 10.4236/jamp.2015.33047 4,932 Downloads 10,540 Views Citations, Numerical Solution of Troesch’s Problem by Sinc-Collocation Method (Articles), Applied Mathematics (2013b, 2015) for some model problems. 5,756 Downloads 8,970 Views Citations, A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model (Articles), Journal of Applied Mathematics and Physics Copyright © 2019 Dongfang Li et al. The paper by H. Qin et al. presents an approximate solution for some well-known linear and nonlinear two-point boundary value problems by using the optimal homotopy asymptotic method. 10.4236/ojg.2017.78075 Numerical results are provided to show the effectiveness and reliability of the proposed method, and some comparisons are also given to show the advantages of the methods. Numerical implementations of the weak Galerkin method were discussed in Mu et al. Besides, asymptotical stability of the fully discrete schemes is investigated extensively. A Study on Numerical Calculation Method of Small Cluster Density in Percolation Model 2,980 Downloads 3,384 Views Citations, Multistage Numerical Picard Iteration Methods for Nonlinear Volterra Integral Equations of the Second Kind (Articles), Advances in Pure Mathematics The paper of F. Wu et al. 213 Downloads 363 Views Citations, Numerical Simulation for Fredholm Integral Equation of the Second Kind (Articles), Journal of Applied Mathematics and Physics The paper by A. F. Nindjin et al. 10.4236/am.2013.44098 For full access to this pdf, sign in to an existing account, or purchase an annual subscription. About the journal. If you originally registered with a username please use that to sign in. Vol.4 No.2，March 20, 2014, DOI: Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems. 10.4236/alamt.2014.42008 This paper describes, develops and compares several viable methods for the numerical solution of one (space) dimensional, moving boundary (Stefan) problems. Integral Equations Research, Laplace Inverse Transform for Functions of Type nth Root of a Product of Linear Factors (Articles), Open Access Library Journal 10.4236/ajcm.2019.94021 Vol.8 No.10，September 30, 2018, DOI: Is it plausible to expect a close encounter of the Earth with a yet undiscovered astronomical object in the next few years? Vol.7 No.8，August 17, 2017, DOI: 699 Downloads 1,184 Views Citations, Numerical Study of Natural Convection in a Porous Square Enclosure with Sinusoidally Varying Temperature Profile on the Bottom Wall (Articles), Alhadj Hisseine Issaka Ali, Samba Dia, Mahamoud Y. Khayal, Cheikh Mbow, Aboubaker Chedikh Beye, Open Journal of Fluid Dynamics Vol.2 No.11，November 30, 2010, DOI: Although the method is still very new, it has already demonstrated many nice properties in various cases (Mu et al., 2013a; Wang & Ye, 2013a, 2014; Mu et … In addition, the delay term can justify the bifurcation of an economic model of the stationary growth towards cyclic growth. International Journal of Numerical Analysis & Modeling (IJNAM) is directed to the broad spectrum of researchers in scientific computing, and publishes high quality papers in all fields of numerical analysis and mathematical modeling. The IMA Journal of Numerical Analysis (IMAJNA) publishes original contributions to all fields of numerical analysis; articles will be accepted which treat the theory, development or use of practical algorithms and interactions between these aspects …. 10.4236/jamp.2017.59161 IJNAM welcomes contribution of original developments of numerical methods and analysis leading to better understanding of the existing algorithms. Vol.4 No.2，February 18, 2014, DOI: 10.4236/wjm.2014.42006 10.4236/ojg.2018.810062 To purchase short term access, please sign in to your Oxford Academic account above. Don't already have an Oxford Academic account? An Academic Publisher, Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems (Articles), Applied Mathematics A numerical method is presented for computational modelling of viscous monophase and multiphase flows in presence of dynamic contact lines. The method could also be considered as a mathematical tool for free-surface hydrodynamics and interface science. Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations, School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China, Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON M5S3G4, Canada, Beijing Computational Science Research Center, Beijing 100193, China, International Journal of Differential Equations. The methods are examined for computational efficiency and accuracy, programming complexity and ease of generalization to more than one (space) dimension, complicated moving boundary conditions, rapidly-moving boundaries and nonlinear governing equations or fixed boundary conditions. 4,547 Downloads 6,662 Views Citations, A New Class of Vector Padé Approximants in the Asymptotic Numerical Method: Application in Nonlinear 2D Elasticity (Articles), Abdellah Hamdaoui, Rachida Hihi, Bouazza Braikat, Noureddine Tounsi, Noureddine Damil, World Journal of Mechanics 10.4236/jamp.2016.48159 Search for other works by this author on: You do not currently have access to this article. studies the existence and uniqueness of weak solutions for the nonlinear parabolic equations and then presents a linearized finite element Galerkin method to numerically solve the model equations. Vol.4 No.2，June 16, 2014, DOI: (Articles), Natural Science 3,903 Downloads 5,724 Views Citations, A New Modification of the Method of Lines for First Order Hyperbolic PDEs (Articles), Applied Mathematics 10.4236/jamp.2015.38129 10.4236/apm.2015.511061 deals with the stability analysis of additive Runge-Kutta methods for delay-integrodifferential equations arising from some spatially discretized time-dependent partial differential equations.