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Feynman Formulas Representation of Semigroups Generated by Parabolic Difference-Differential Equations
Difference-Differential Equations Semigroup Feynman Formula Chernoff Theorem
2013/1/30
We establish that the Laplas operator with perturbation by symmetrised linear hall of displacement argument operators is the generator of unitary group in the Hilbert space of square integrable functi...
Cascadic Multigrid Methods For Parabolic Problems
Cascadic multigrid method parabolic problem element methods backwardEuler scheme smoother stability optimal error order optimal complexity
2012/8/8
In this paper, we consider the cascadic multigrid method for a parabolic type equa-
tion. Backward Euler approximation in time and linear 痭ite element approximation in space are
employed. A stabilit...
Analysis of the Heterogeneous Multiscale Method for Parabolic Homogenization Problems
Analysis the Heterogeneous Multiscale Method Parabolic Homogenization
2012/8/7
The heterogeneous multiscale method (HMM) is applied to various parabolic problems
with multiscale coefficients. These problems can be either linear or nonlinear. Optimal
estimates are proved for th...
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...
An O(k2+kh2+h2) Accurate Two-level Implicit Cubic Spline Method for One Space Dimensional Quasi-linear Parabolic Equations
Quasi-Linear Parabolic Equation, Implicit Method, Cubic Spline Approximation, Diffusion-Convection Equation, Singular Equation, Burgers’ Equation, Reynolds Number
2013/1/30
In this piece of work, using three spatial grid points, we discuss a new two-level implicit cubic spline method of O(k2 + kh2 + h4) for the solution of quasi-linear parabolic equation , 0< x <1, t > 0...
A QUASI-NEWTON METHOD IN INFINITE-DIMENSIONAL SPACES AND ITS APPLICATIONFOR SOLVING A PARABOLIC INVERSE PROBLEM
Quasi-Newton method parabolic differential equation inverse problems in partial differential equations linear and Q-superlinear rates of convergence
2007/12/12
A Quasi-Newton method in Infinite-dimensional Spaces (QNIS) for solving
operator equations is presented and the convergence of a sequence
generated by QNIS is also proved in the paper. Next, we sugg...
AN ACCURATE NUMERICAL SOLUTION OF A TWO DIMENSIONAL HEAT TRANSFERPROBLEM WITH A PARABOLIC BOUNDARY LAYER
Linear convection-diffusion parabolic layer piecewise uniform mesh finite difference.
2007/12/11
A singularly perturbed linear convection-diffusion problem for heat
transfer in two dimensions with a parabolic boundary layer is solved
numerically. The numerical method consists of a special piece...