International Journal of                                                 Numerical Analysis & Modeling

 
 ISSN 1705-5105
 
"For the things of this world cannot be made known without a knowledge of mathematics" -----Roger Bacon
 
Contents

 

                

              Volume 7  (2010)                  

(all papers can be downloaded at the page numbers)                        

Volume  7,  Number  1 (2010)  --- Contents

G. Gie and R. Temam,  Cell centered finite volume methods using Taylor series expansion scheme without fictitious domains .............................................................................................1

G. Wang and X. Yu,   Error estimates for an optimal control problem governed by the heat equation with state and control constraints ..............................................................................30

X. Liu and Y. Zhang, Numerical dynamic modeling and data driven control via least square        techniques and Hebbian learning algorithm  ............................................................................66

T. Sun,   Discontinuous Galerkin finite element method with interior penalties for convection diffusion optimal control problem ...........................................................................................87

G. Wang and X. Yang, Finite difference approximation of a parabolic hemivariational inequalities arising from temperature control problem ............................................................108

S. Micheletti and S. Perotto,   Space-time adaptation for purely diffusive problems in an anisotropic framework .........................................................................................................125

B. Jovanovic and L. Vulkov, Numerical solution of a two-dimensional parabolic      transmission problem ...........................................................................................................156

M. Maghrebi and A. Zarghami, DNS of forced mixing layer  ...........................................173

 

Volume  7,  Number  2 (2010)  --- Contents

S. Mefire,  Associating a limit perturbation model in 3D with reduced meshes for          simulations of the localization of certain electromagnetic inhomogeneities ...............................195

H. Feng, D. Jiang and J. Zou,  Numerical identification of magnetic permeability ...............217

J. Peter, N. Chander and S. Raha,  The alpha method for solving differential algebraic             inequality (DAI) systems ......................................................................................................240

S. Amat, K. Dadourian and J. Liandrat,  On a nonlinear 4-point ternary and         interpolatory multiresolution scheme eliminating the Gibbs phenomenon .................................261

J. Wang, Y. Wang and X. Ye,  A new finite volume method for the Stokes problems..........281

K. In't Hout and S. Foulon,  ADI finite difference schemes for option pricing in the Heston      model with correlation..........................................................................................................303

N. Moshkin and K. Poochinapan ,  Novel finite difference scheme for the numerical      solution of two-dimensional incompressible Navier-Stokes equations ....................................321

H. Li and L. Wang  A spectral method on tetrahedra using rational basis functions ..............330

B. Dickinson and J. Singler,  Nonlinear model reduction using group proper orthogonal decomposition......................................................................................................................356

W. Zhang and Y. Wong,  Efficient parallel hybrid computations for three-dimensional wave equation prestack depth imaging ..........................................................................................373

 

Volume  7,  Number  3 (2010)  --- Contents

          Dedicated to Professor G. I.  Shishkin                                 on the occasion of his 70th Birthday                

     Computational Methods for Boundary and Interior Layers                                                   by N. Kopteva, E. O'Riordan and L. Vulkov .................................... i

N. Kopteva and E. O'Riordan,  Shishkin meshes in the numerical solution of singularly    perturbed differential equations.............................................................................................393

V. B. Andreev,  Pointwise approximation of corner singularities for singularly perturbed     elliptic problems with characteristic layers ....................................................................... ....416

C. Clavero, J. L. Gracia and F. Lisbona,  Second order uniform approximations                     for the solution of time dependent singularly perturbed reaction-diffusion systems  .................428

C. de Falco and E. O'Riordan,  Interior layers in a reaction-diffusion equation with   a discontinuous diffusion coefficient .........................................................................................444

C. Jung and R. Temam,  Finite volume approximation of two-dimensional stiff problems  ...462

R. B. Kellogg and C. Xenophontos,  An enriched subspace finite element method for     convection-diffusion problems .............................................................................................477

T. Linss,  A posteriori error estimation for a singularly perturbed problem with two small parameters ..........................................................................................................................491

T. Linss and N. Madden, Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems  .................................................................................507

L. Tobiska and C. Winkel,  The two-level local projection stablization as an enriched         one-level approach, a one-dimensional study........................................................................520

S. Valarmathi and J. J. H. Miller,  A parameter-uniform finite difference method for               singularly perturbed linear dynamical systems .......................................................................535

M. Viscor and M. Stynes,  A robust finite difference method for a singularly perturbed degenerate parabolic problems, Part I  ................................................................................549

R. Vulanovic, A uniform numerical method for a boundary-shock problem .........................567

L. Vulkov and A. Zadorin,  Two-grid algorithms for an ordinary second order equation         with an exponential boundary layer in the solution .................................................................580

L. Kaland and H. -G. Roos,  Parabolic singularly perturbed problems with exponential layers: robust discretizations using finite elements in space on Shishkin meshes ................................593

 

Volume  7,  Number  4 (2010)  --- Contents        

D. Kolyukhin and M. Espedal,  Numerical calculation of effective permeability by double randomization Monte Carlo method .....................................................................................607

Z. Macova and S. Sevcovic,  Weakly nonlinear analysis of the Hamiltion-Jacobi-Bellman equation arising from pension savings management .. ............................................................619

S. Mao, S. Nicaise and Z. Shi,  Error estimates of Morley triangular element satisfying          the maximal angle condition .................................................................................................639

K. Nafa,  Local projection finite element stabilization for Darcy flow ....................................656

N. Gupta, N. Nataraj and A. Pani,  On the optimal control problem of laser surface    hardening  ...........................................................................................................................667

Z. Zhou and N. Yan,  The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations ..........................................................................681

F. Dong, J. Yang and C. Liu,  A fast algorithm for vectorial TV-based image restoration ....700

T. Linss and N. Kopteva, A posteriori error estimation for a defect-correction method    applied to convection-diffusion problems .............................................................................718

Y. Zhang, N. Feng and Y. He,  Subgrid model for the stationary incompressible              Navier-Stokes equations based on the high order polynomial interpolation ............................734

A. Bernardo, A. Marquez and S. Meddahi,  Analysis of an interaction problem           between an electromagnetic field and an elastic body  ..........................................................749

S. Chen, M. Liu and Z. Qiao,  An anisotropic nonconforming element for fourth order     elliptic singularly perturbed problem .....................................................................................766

Y. Li and K. Li, Operator splitting methods for the Navier-Stokes equations with            nonlinear slip boundary conditions.........................................................................................785

 

                  ==  Wuhan University and Institute for Scientific Computing  and Information    2004==