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"For the things of this world
cannot be made known without a knowledge of
mathematics" -----Roger Bacon |
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Contents |
Volume 16
(2019)
(all papers can
be downloaded at the page numbers)
Volume 16, Number
1 (2019) ---
Contents
L. Wang, S. Hou, L. Shi and P. Zhang,
A numerical method for solving the variable
coefficient wave equation with interface jump
conditions...........................................................1
L.
Amir, M. Kern and H. Wang, Preconditioning
a coupled model for reactive transport in porous
media......................................................................................................................18
F. Wang and W. Han, Reliable and efficient a
posteriori error estimates of DG methods
for a simplified frictional contact problem.....................................49
M.
D´ıaz-Viera, A. Ortiz-Tapia, J.
Hern´andez-P´erez, G. Castorena-Cort´es,
T. Rold´an-Carrillo and Pa. Olgu´ın-Lora, A
flow and transport model for simulation of
microbial enhanced oil recovery processes at
core scale and laboratory conditions
............ .63
Y. Zhang and L. Xia,
Pattern formation in Rosenzweig–MacArthur model
with
prey–taxis.. .........................................................................................97
D.
Gilliocq-Hirtz and Z. Belhachmi,
A space-time Parallel method for the optic flow
estimation in large displacements and varying
illumination case............................... .116
C. Ma, L. Cao and J. Huang,
Analysis of a fully discrete finite element
method for
the Maxwell–Schr¨odinger system in the Coulomb
gauge........................................ .139
Volume 16, Number
2 (2019) ---
Contents
Prologue
C. Wang, P. Sun and Z.
Li, An iterative
approach for constructing immersed nite element
spaces and applications to interface problems........................................167
R. Backofen, S. Wise, M.
Salvalaglio and A. Voigt,
Convexity splitting in a phase
fileld model for surface diffusion................................................................ .........192
W. Yang, L. Cao, Y.
Huang and J. Cui,
A new a posteriori error estimate for the
interior penalty discontinuous Galerkin method .....210
M.
Gunzburger and J. Wang,,
A second-order Crank-Nicolson method for
time-fractional PDEs......... ............................225
H. Feng, Y. Gao, L. Ju and X. Zhang,
A
new collocation method for solving certain
Hadamard nite-part integral equation.......................................................................... .240
S. Cheung and E. Chung,
An embedded SDG method for the convection-di
usion equation................................................................................................................................255
B.
Hou and D. Liang, A time second-order
characteristic nite element method for
nonlinear advection-di usion equations.......................276
M. Chen, P. Bollada
and P. Jimack,
Dynamic load balancing for the parallel,
adaptive, multigrid solution of implicit
phase-field simulations.......................................... ......................297
C. Liu, W. Shi and X. Wu,
Numerical analysis of an energy-conservation
scheme for
two-dimensional Hamiltonian wave equations with
Neumann boundary conditions..........................................................................................319
X.
Feng and S. Schnake, A discontinuous
Ritz method for a class of calculus of
variations problems......................340
Q. Liang, L. Chen, H.
Zhang and D. Zhang, Self-consistent
eld theory simulations
of wormlike chains on cylindrical surface........ ..................357
Volume 16, Number
3 (2019) ---
Contents
M. Mei, K. Zhang and Q.
Zhang, AGlobal
stability of critical traveling waves with
oscillations for time-delayed reaction-diffusion
equations.................................................375
H. Khalfei, M. Pierre,
N. Alaa and M. Guedda,
Convergence to equilibrium of a DC algorithm for
an epitaxial growth model................................................................ ..........398
K. Wang, Y. Wong and J.
Huang, Analysis of
pollution-free approaches for
multi-dimensional Helmholtz equations ................................................................................412
M. Baccouch,
Optimal error estimates of the local
discontinuous Galerkin method for the
two-dimensional sine-Gordon equation on
Cartesian grids......... ...............................436
J. Zhang, H. Rui and Y. Cao,
A
partitioned method with different time steps for
coupled Stokes and Darcy flows with
transport............................................................................ .463
S. Becher,
FEM-analysis on graded meshes for turning point
problems exhibiting an interior layer..............................................................................................................499
Volume 16, Number
4 (2019) ---
Contents
X. Zhang, Y. Zhang and
J. Singler, An
optimal EDG method for distributed control of
convection diffusion PDEs......................................................................................519
A. F. Jahromi and H.
Alimorad, A
review of theoretical measure approaches in
optimal shape problems............................................................... .............................................543
R. Guo, T. Lin and Q.
Zhuang, Improved
error estimation for the partially penalized
immersed finite element methods for elliptic
interface problems .....................................575
A. Zadorin and S. Tikhovskaya,
Formulas of numerical differentiation on a
uniform mesh for
functions with the exponential boundary layer......... ...............................590
Q. Hu, X. Guo, Y. Liu and H. Zhou,
Coupling method of plane wave DG and boundary
element for electromagnetic scattering........................................................................... .609
M. Lin ,
Error analysis of an immersed finite element
method for time-dependent Beam interface
problems..........................................................................................................626
P. Mishra, K. Sharma, A. Pani and G. Faiweather,
Orthogonal spline collocation for singularly
perturbed reaction diffusion problems in one
dimension............................... .647
J. Liu, F. Fang and N. Du ,
Color-to-gray conversion with perceptual
preservation and dark channel prior.......................................................................................................668
Volume 16, Number
5 (2019) ---
Contents
Z. Liu and Z. Qiao,
Wong--Zakai approximations of stochastic
Allen--Cahn equation...........................................................................................................................681
A. Bermudez, B.
Lopez-Rodriguez, R. Rodriguez and P. Salgado,
Numerical solution of a transient
three-dimensional eddy current model with moving
conductors............................................................... .......................................................695
Q. Huang, K. Jiang and
X. Xu,
Postprocessing of continuous Galerkin solutions
for
delay differential equations with nonlinear
vanishing delay ....................................718
B. Kokkinis,
A relaxation approach to discretization of
boundary optimal control problems of
semilinear parabolic equations........ ..............................................................731
W. Guo, Y. Nie and W. Zhang,
Anisotropic mesh adaptation method based on
anisotropic bubble-type local mesh generation....................................................745
J. Zhu and V. Hector ,
Robust and efficient mixed hybrid discontinuous
finite element methods for elliptic interface
problems......................................................767
N. Zhang, F. Xu and H. Xie,
An efficient multigrid method for ground state
solution
of Bose-Einstein condensates.................................789
T.P. Barrios, E.M. Behrens and M. Gonzalez ,
A posteriori error analysis of an augmented
dual-mixed methodin linear elasticity with mixed
boundary conditions..............804
Z. Dong,
Discontinuous Galerkin methods for the
biharmonic problem on polygonal and polyhedral
meshes............................................................................................................825
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Volume 16, Number
6 (2019) ---
Contents
A. Tambue and J.D.
Mukam,
Strong convergence and stability of the
semi-tamed and tamed Euler schemes for
stochastic differential equations with jumps
under non-global Lipschitz condition............................................................................................................847
M. Chen and S. Sun,
Application of parallel aggregation-based
multigrid to high resolution subsurface flow
simulations........................ .......................................................................873
D. Wells and J. Banks,
Using p-refinement to increase boundary
derivative
convergence rates ............................................................................................................891
L. Cai, M.F. Guo, Y.Q. Li, W.J. Ying, H. Gao and
X.Y. Luo,
Nonstandard finite
difference method for nonlinear Riesz space
fractional reaction-diffusion equation.. ....925
A. Lundberg, P. Sun and C. Wang,
Distributed Lagrange multiplier-fictitious
domain finite element
method for Stokes interface problems......................................................... 939
K. Liu and Q. Zou,
Analysis of a special immersed finite volume
method for elliptic
interface problems..........................................................................................................946
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