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Applied Mathematics and Computation, ISSN 0096-3003, 02/2014, Volume 229, pp. 34 - 40
In this paper, based on our previous work of asymptotic expansion, an initial effort of global superconvergence analysis of time-domain Maxwell's equations in... 
Time-domain Maxwell's equations | Debye Medium | Nonconforming mixed finite element methods | Superconvergence | MATHEMATICS, APPLIED | Finite element method | Analysis | Methods | Asymptotic expansions | Interpolation | Operators | Post-processing | Mathematical analysis | Mathematical models | Maxwell's equations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2014, Volume 229, pp. 34 - 40
In this paper, based on our previous work of asymptotic expansion, an initial effort of global superconvergence analysis of time-domain Maxwell’s equations in... 
Debye Medium | Nonconforming mixed finite element methods | Time-domain Maxwell’s equations | Superconvergence
Journal Article
Soil Dynamics and Earthquake Engineering, ISSN 0267-7261, 02/2015, Volume 69, pp. 16 - 27
The present paper investigates the propagation of horizontally polarised shear wave in distinct vertically heterogeneous double layers overlying an isotropic... 
Debye asymptotic expansion | Heterogeneity | SH-wave | Initial stress | Dispersion | Seismic wave | GEOSCIENCES, MULTIDISCIPLINARY | ENGINEERING, GEOLOGICAL | LOVE WAVES | Wave propagation | Horizontal | Half spaces | Mathematical analysis | Double layer | Dispersions | Rigidity
Journal Article
International Journal of Geomechanics, ISSN 1532-3641, 04/2016, Volume 16, Issue 2, p. 4015062
AbstractThis paper aims to investigate the propagation of Love-type waves in the double layers lying over an isotropic homogeneous half-space. The two layers... 
Technical Paper | Debye asymptotic expansion | Heterogeneity | Dispersion | Seismic wave | Love-type wave | MAGNETOELASTIC SHEAR-WAVES | MODELS | SEISMIC RESPONSE | ENGINEERING, GEOLOGICAL | HALF-SPACE | TORSIONAL WAVE | Asymptotic expansions | Phase velocity | Wave propagation | Wavelengths | Mathematical analysis | Exact solutions | Double layer
Journal Article
Procedia Engineering, ISSN 1877-7058, 2017, Volume 173, pp. 1959 - 1966
In the present paper the study of shear wave propagation in a cylindrical fibre-reinforced earth model has been discussed in the presence of radial... 
Dispersion Equation | Debye asymptotic expansion | Shear wave | Inhomogeneity | Cylindrical Co-ordinate | Fibre-reinforced medium
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2016, Volume 437, Issue 2, pp. 1101 - 1129
To investigate the effect of the bulk volume fraction on the structure of the electrical double layer (EDL) in electrolyte solutions, we revisit modified... 
Robin boundary condition | Poisson–Boltzmann | Asymptotic expansions | Bulk volume fraction | Small Debye screening length | Monotonicity property | Poisson-Boltzmann | MATHEMATICS, APPLIED | ELECTROLYTE | PARTICLES | IONS | MODEL | MATHEMATICS | DOUBLE-LAYER | DEBYE LENGTH | THIN | Electrolytes
Journal Article
Izvestiya: Mathematics, ISSN 1064-5632, 06/2009, Volume 73, Issue 3, pp. 627 - 653
We use the method of regularization to construct two kinds of regularized asymptotic expansions (in a complex parameter) for a fundamental system of solutions... 
Bessel equation | Regularized asymptotic expansions | Regularizing function | Debye's expansion | Stokes lines | MATHEMATICS | regularized asymptotic expansions | regularizing function
Journal Article
APPLIED OPTICS, ISSN 1559-128X, 12/2000, Volume 39, Issue 34, pp. 6332 - 6340
Recently, exact Kirchhoff solutions and the corresponding asymptotic solutions for the focusing of electromagnetic waves through a plane interface between two... 
APPROXIMATE SOLUTIONS | DIFFRACTION INTEGRALS | 2-DIMENSIONAL WAVES | DEBYE | KIRCHHOFF APPROXIMATIONS | NUMERICAL COMPARISONS | DIELECTRIC INTERFACE | INTEGRAL-REPRESENTATION | OPTICS | MISMATCHED REFRACTIVE-INDEXES | FRESNEL-NUMBER
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 03/2017, Volume 27, Issue 3, pp. 549 - 579
In this paper, we develop a second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin (DG) scheme for the Kerr-Debye model. By using... 
Discontinuous Galerkin | Kerr-Debye model | implicit-explicit | positivity-preserving | stiff systems | Runge-Kutta methods | asymptotic-preserving | NUMERICAL-METHODS | SMOOTH SOLUTIONS | MATHEMATICS, APPLIED | DG-IMEX SCHEMES | KINETIC-EQUATIONS | SYMMETRIZABLE SYSTEMS | HIGH-ORDER | STIFF RELAXATION TERMS | HYPERBOLIC CONSERVATION-LAWS | FINITE-ELEMENT-METHOD
Journal Article
Physics of Plasmas, ISSN 1070-664X, 2014, Volume 21, Issue 4, p. 43501
Journal Article
Physics of Fluids, ISSN 1070-6631, 01/2015, Volume 27, Issue 1, pp. 1 - 15
We present a flux-based analysis of the motion of spherical electrocatalytic nanomotors based on an electrokinetic model with general distribution of cation... 
LOW-REYNOLDS-NUMBER | AUTONOMOUS MOVEMENT | MECHANICS | MOTION | PARTICLES | ELECTROPHORESIS | CATALYTIC NANOMOTORS | PHYSICS, FLUIDS & PLASMAS | LOCOMOTION | MOTORS | NANOROTORS | PROPULSION | Ion concentration | Asymptotic series | Debye length | Electrokinetics | Flux | Motors | Electrophoresis | Ions | Mathematical models | Cations | Asymptotic methods
Journal Article
Physics of Fluids, ISSN 1070-6631, 2015, Volume 27, Issue 9, p. 92002
Using the method of matched asymptotic expansions, we derive a general expression for the speed of a prolate spheroidal electrocatalytic nanomotor in terms of... 
ELECTROKINETICS | AUTONOMOUS MOVEMENT | MECHANICS | MOTION | PARTICLES | CATALYTIC NANOMOTORS | PHYSICS, FLUIDS & PLASMAS | LOCOMOTION | NANORODS | MOTORS | NANOMACHINES | PROPULSION | Computer simulation | Eccentricity | Motors | Asymptotic methods | Physical properties | Spheroids | Asymptotic series | Debye length | Dependence | Electrophoresis | Cations | Prolate spheroids | Configurations
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 06/2014, Volume 37, Issue 9, pp. 1249 - 1272
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 07/2011, Volume 84, Issue 1
Journal Article
JOURNAL OF ENGINEERING MATHEMATICS, ISSN 0022-0833, 04/2019, Volume 115, Issue 1, pp. 141 - 156
Journal Article
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