Convergence estimates of a projection-difference method for an operator-differential equation

Optimal Convergence Estimates for the Trace of the Polynomial L-projection Operator on a Simplex

In this paper we study convergence of the L2-projection onto the space of polynomials up to degree p on a simplex in Rd, d ≥ 2. Optimal error estimates are established in the case of Sobolev regularity and illustrated on several numerical examples. The proof is based on the collapsed coordinate transform and the expansion into various polynomial bases involving Jacobi polynomials and their anti...

Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex

Article Accepted Version Chernov, A. (2012) Optimal convergence estimates for the trace of the polynomial L2-projection operator on a simplex. It is advisable to refer to the publisher's version if you intend to cite from the work. All outputs in CentAUR are protected by Intellectual Property Rights law, including copyright law. Copyright and IPR is retained by the creators or other copyright h...

A method for solving first order fuzzy differential equation

Derivation of Transport Equation in Time-Dependent Projection Operator Method

We develop a formalism to carry out coarse-grainings by using a timedependent projection operator in Heisenberg picture. A systematic perturbative expansion with respect to the interaction part of the Hamiltonian is given and the Langevin-type equation without a time-convolution integral term is obtained. This method is applied to a quantum field theoretical model and a coupled transport equati...

Convergence of the multistage variational iteration method for solving a general system of ordinary differential equations

In this paper, the multistage variational iteration method is implemented to solve a general form of the system of first-order differential equations. The convergence of the proposed method is given. To illustrate the proposed method, it is applied to a model for HIV infection of CD4+ T cells and the numerical results are compared with those of a recently proposed method.