搜索结果: 1-15 共查到“计算数学 time”相关记录23条 . 查询时间(0.182 秒)
We prove the existence of a compact global attractor for the dynamics of the forced critical surface quasi-geostrophic equation (SQG) and prove that it has finite fractal (box-counting) dimensio...
A Spectral Method in Time for Initial-Value Problems
Initial-Value Problem WRM Time-Spectral Spectral Method Chebyshev Polynomial Fluid Mechanics MHD
2013/1/30
A time-spectral method for solution of initial value partial differential equations is outlined. Multivariate Chebyshev series are used to represent all temporal, spatial and physical parameter domain...
A Generalized FDTD Method with Absorbing Boundary Condition for Solving a Time-Dependent Linear Schrodinger Equation
Schrodinger Equation Absorbing Boundary FDTD Method Stability
2013/1/30
The Finite-Difference Time-Domain (FDTD) method is a well-known technique for the analysis of quantum devices. It solves a discretized Schr?dinger equation in an iterative process. However, the method...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
An Adaptive Uniaxial Perfectly Matched Layer Method For Time-Harmonic Scattering Problems
Adaptivity uniaxial perfectly matched layer a posteriori error analysis acousticscattering problems
2012/8/8
The uniaxial perfectly matched layer (PML) method uses rectangular domain to
define the PML problem and thus provides greater flexibility and efficiency in dealing with prob-
lems involving anisotro...
Construction of exact invariants of time-dependent linear nonholonomic dynamical systems
invariant Lie algebraic method linear nonholonomic Hamiltonian system
2012/8/8
In this work, we build exact dynamical invariants for time-dependent, linear, nonholo-
nomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into
the theoretical un...
An Adaptive Perfectly Matched Layer Technique for 3-D Time-Harmonic Electromagnetic Scattering Problems
layer (PML) technique 3-D Time-Harmonic Electromagnetic Scattering Problems
2012/8/8
An adaptive perfectly matched layer (PML) technique for solv-
ing the time harmonic electromagnetic scattering problems is developed. The
PML parameters such as the thickness of the layer and the fi...
An Adaptive Multilevel Method For Time-Harmonic Maxwell Equations With Singularities
Maxwell's equations singularities of solutions adaptive 痭 ite element method multigrid method
2012/8/8
We develop an adaptive edge 痭ite element method based on reliable and e眂ient
residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell's equations with
singularities. The r...
A Backward Euler-DtN Alternating Method for Time-dependent Eddy Current Problems in Unbounded Domains
eddy current problems unbounded domains boundary integrations N秂d秂lec痭ite elements non-overlapping domain decomposition
2012/8/8
In this paper, we develop a coupling of natural boundary element method and 痭ite element
method for solving the time-dependent eddy current problems in unbounded domains based on a
H∶ formulation. T...
Time-Spectral Solution of Initial-Value Problems—Subdomain Approach
Initial-Value Problem Multiple Time Scales Time-Spectral Spectral Method Weighted Residual Method Subdomains Domain Decomposition
2013/1/30
Temporal and spatial subdomain techniques are proposed for a time-spectral method for solution of initial-value problems. The spectral method, called the generalised weighted residual method (GWRM), i...
A posteriori error analysis for a continuous space-time finite element method for a hyperbolic integro-differential equation
integro-differential equation continuous Galerkin finite element method convolution kernel stability a posteriori estimate
2012/5/9
An integro-differential equation of hyperbolic type, with mixed boundary conditions, is considered. A continuous space-time finite element method of degree one is formulated. A posteriori error repres...
A Gas Dynamics Method Based on the Spectral Deferred Corrections (SDC) Time Integration Technique and the Piecewise Parabolic Method (PPM)
Gas Dynamics Conservation Laws Spectral Deferred Corrections (SDC) Methods Piecewise Parabolic Method (PPM) Godunov Methods High Resolution Schemes
2013/1/30
We present a computational gas dynamics method based on the Spectral Deferred Corrections (SDC) time integration technique and the Piecewise Parabolic Method (PPM) finite volume method. The PPM framew...
Methods of Approximation in hpk Framework for ODEs in Time Resulting from Decoupling of Space and Time in IVPs
Finite Element Approximations Numerical Studies Time Approximation Variationally Consis- tent Integral Forms
2013/1/30
The present study considers mathematical classification of the time differential operators and then applies methods of approximation in time such as Galerkin method (GM ), Galerkin method with weak fo...
Strong-Stability-Preserving, K-Step, 5- to 10-Stage, Hermite-Birkhoff Time-Discretizations of Order 12
Strong Stability Preserving, Hermite-Birkhoff Method SSP Coefficient Time Discretization Method of Lines Comparison with Other SSP Methods
2013/1/30
We construct optimal k-step, 5- to 10-stage, explicit, strong-stability-preserving Hermite-Birkhoff (SSP HB) methods of order 12 with nonnegative coefficients by combining linear k-step methods of ord...
Time domain numerical modeling of wave propagation in 2D heterogeneous porous media
porous media elastic waves Biot’s model time splitting
2011/3/2
This paper deals with the numerical modeling of wave propagation in porous media described by Biot’s theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear f...