|
|
|
"For the things of this world
cannot be made known without a knowledge of
mathematics" -----Roger Bacon |
| |
|
|
Contents |
|
Volume 18
(2021)
(all papers can
be downloaded at the page numbers)
Volume 18, Number
1 (2021) ---
Contents
J. Delgado and J.M Pena,
Evaluation of curves and surfaces by methods
based on differential equations and CAGD............................................................1
Y.
Zhou and Q. Zou, Locally
conservative serendipity finite element
solutions
for elliptic equations.......................................................................................
......19
A. Theljani, Multi-scale non-standard
fourth-order PDE in image denoising
and its fixed point algorithm...................................................................
........ .38
C.
Magherini, Weakly
regular Sturm-Liouville problems: a corrected
spectral matrix method.............................................................. ......62
M. Sarai and D. Liang,
Even-odd cycled high-order splitting finite
difference
time domain method for Maxwell's equations ........................................................79
G. Gao, R. Tang and Q. Yang,
A compact finite difference scheme
for the fourth-order time multi-term fractional
sub-diffusion equations
with the first Dirichlet boundary conditions......................................................... .100
Y. Chen and X. Zhang,
A $P_2$-$P_1$ partially penalized immersed
finite
element method for Stokes interface problem.................................................. ..120
Volume 18, Number
2 (2021) ---
Contents
W. Xian, A. Chen, Y. Cheng and H. Dong,
Numerical simulations for
shallow water flows over erodible beds by
central DG methods..............................143
T.
Hill, M. Neda, E. Olson and F. Pahlevani, Energy
and enstrophy study
of the time relaxation model...............................................................................
......165
H. Wu, J. Ying and Q. Zou, Finite volume
element method for predicting
electrostatics of a biomolecule immersed in an
ionic solvent...................................190
M. G.
Armentano and M. L. Stockdale, Approximations
by MINI mixed
finite element for the Stokes-Darcy coupled
problem on curved domains................. .203
Y. Zhang, L. Cao and D.
Shi,
Well-posedness and the multiscale algorithm
for heterogeneous scattering of Maxwell's
equations in dispersive media ...................235
A. Delic, S. Zivanovic and Z. M. Jeknic,
A finite-difference scheme for a linear
multi-term fractional-in-time differential
equation with concentrated capacities............ .265
Volume 18, Number
3 (2021) ---
Contents
X.
Cheng, H. Xuan and Q. Xiao,
Analysis of Rothe
method for
a variational-hemivariational inequality in
adhesive contact problem for locking
materials..............................................................................................................287
A.
AL-Taweel, S. Hussain, R. Lin and P. Zhu,, A
stabilizer free weak
Galerkin finite element method for general
second-order elliptic problem.........
......311
W.
Zhang, L. Hu, Z. Yang and Y. Nie,
Error estimates for the
Laplace
interpolation on convex polygons........................................................................... 324
I.
Kesler, R. Lan and P. Sun, The
arbitrary Lagrangian-Eulerian finite
element method for a transient Stokes/parabolic
interface problem.......................... .339
M.Q.
Tan, J. Cheng and C.-W. Shu,
Stability of high
order finite difference
schemes with implicit-explicit time-marching for
convection-diffusion and
convection-dispersion equations ..............................................................................362
D. Wang, Y. Cao, Q. Li
and J. Shen,
A stochastic
gradient descent
method for the design of optimal random
interface in thin-film solar cells .
.................384
Y. Qin,
C. Wang and Z. Zhang,
A
positivity-preserving and convergent
numerical scheme for the binary fluid-surfactant
system.
...........................................399
Volume 18, Number
4 (2021) ---
Contents
J.
Li, W. Zhang and J. Yue,
A deep learning
Galerkin method
for the second-order linear elliptic equations............................................................427
I.
Kayijuka, S. M. Ege, A. Konuralp and F. S. Topal,,
Fast Gauss-related
quadrature for highly oscillatory integrals with
logarithm and Cauchy-logarithmic
type singularities...............................................................................................
......444
M. Zheng, F. Liu
and V. Anh,
An effective algorithm for
computing fractional
derivatives and application to fractional
differential equations.................................... 458
I.
Sykopetritou and C. Xenophontos, An
$hp$ finite element method for
a singularly perturbed
reaction-convection-diffusion boundary value
problem
with two small parameters...................................................................................... .481
C.
Wang,
A modified primal-dual
weak Galerkin finite element method
for second order elliptic equations in
non-divergence form .........................................500
P. Sakkaplangkul and V.
A. Bokil,
Convergence analysis
of Yee-FDTD
schemes for 3D Maxwell's equations in linear
dispersive media .
...............................524
Volume 18, Number
5 (2021) ---
Contents
B.
Zhao, M.Y. Zhang and C. Liang,
Global well-posedness
for Navier-Stokes-Darcy equations with the free interface...............................................569
B.
Bialecki and R.I. Fernandes,
Convergence analysis of ADI
orthogonal
spline
collocation without perturbation terms...............................................................620
H. Zhang, X.
Yang and J. Zhang,
Stabilized invariant energy
quadratization (S-IEQ) method for the
molecular beam epitaxial model without slope
section.......... .642
C.
Attanayake and S.H. Chou, Superconvergence
and flux recovery
for an enriched finite element method........................................................................ ..656
M.
Xiao,
An
efficient nonlinear solver for steady MHD based
on algebraic splitting......674
R. Wang, Z. Wang, J. Liu,
S. Tavener and R. Zhang,
Locking-free CG-type
finite element solvers for linear elasticity on
simplicial meshes
..................................690
S. Pollock and L. R.
Scott,
Extrapolating the
Arnoldi algorithm to improve
eigenvector convergence.........................................................................................712
Volume 18, Number
6 (2021) ---
Contents
F.
Lin, Y. Li, J. Zhang and C. Lian,
Energy and mass
conservative averaging
local discontinuous Galerkin method for
Schrodinger equation.................................723
O.L.
Elvetun and B.F. Nielsen,
Modified Tikhonov regularization for identifying
several sources.......................................................................................................740
H. Zhang and H.
Liang,
Collocation methods for a
class of integro-differential
algebraic equations................................................................................................. .758
N.
Chuenjarern, K. Wuttanachamsri and Y. Yang, Stability
analysis and error
estimates of local discontinuous Galerkin method
for convection-diffusion equations
on overlapping mesh with non-periodic boundary
conditions................................... .788
T.
Li, P. Huang and Y. He,
A fully
discrete, decoupled scheme with different time
steps for approximating nematic liquid crystal
flow................................................811
X. Tang, C. Ross
Schmidtlein, S. Li and Y. Xu,
An integral equation
model
for PET imaging........................................................................................................834
A. Jovic,
Optimality criteria
and duality for nonlinear fractional
continuous-time programming...........................................................................................................865
|
|
|
|
|
|
|
|
