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Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
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2011/7/7
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
Numerical Solution and Convergence Speed of Variational Formulation for Linear Schrödinger Equation
Optimal control problem Finite difference method Inverse problem
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2010/3/1
This paper presents a numerical solution of an optimal control problem for linear parabolic equations. The estimates for the error of the difference scheme and the speed of convergence have been estab...
On The Solution of the E.P.D. Equation Using Finite Integral Transformations
Hyperbolic equations initial boundary value problems
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2010/3/5
In this paper, a solution is given for the following initial boundary value problem: D=utt+k/t+ut+g(x, t) (t>0) u(0, t)=u(a, t)=0 u(x, 0)=f(x), ut(x, 0)=0 where x, a e Rn, t is the time variable, k < ...