A dilemma about whether thionitroxide radical (RSNHO) or S-nitrosothiol (RSNO) is observed in protein S-nitrosylation has arisen recently. To illustrate the effect of chemical environment on these structures, this pap...
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In this paper, we investigate backward stochastic differential equations (BSDEs) driven by Brownian motion. We propose a class of Euler type numerical methods with one parameter based on random walk framework for one-...
In this paper, we investigate backward stochastic differential equations (BSDEs) driven by Brownian motion. We propose a class of Euler type numerical methods with one parameter based on random walk framework for one-dimensional Brownian motion. The convergence of such schemes is proved.
In the article, we discuss the conservation laws for the nonlinear Schrödinger equation with wave operator under multisymplectic integrator (MI). The discrete conservation laws of the numerical method are analyze...
In the article, we discuss the conservation laws for the nonlinear Schrödinger equation with wave operator under multisymplectic integrator (MI). The discrete conservation laws of the numerical method are analyzed. It is verified that the proposed MI can stably simulate the multisymplectic Hamiltonian system excellent over long time. It is more accurate than some energy-preserving schemes though they are of the same accuracy. Moreover, the residual of mass is less than energy-preserving schemes under the same mesh partition over long-term.
In this paper we investigate the stochastic multisymplectic methods to solve the stochastic partial differential equation. The stochastic KdV equations are considered. Besides conserving the multi-symplectic structure...
In this paper we investigate the stochastic multisymplectic methods to solve the stochastic partial differential equation. The stochastic KdV equations are considered. Besides conserving the multi-symplectic structure of original equation, the stochastic multi-symplectic methods are also investigated for the conservation of various conservation laws. We deduce the transit laws of the specific formal conservation laws. Numerical experiments are illustrated to verify the good behaviors of stochastic multisymplectic methods.
We present a spectral multi-puncture initial data solver based on the LORENE library http://***/ . The solver generates multi black holes initial data with arbitrary linear momentum and spin within a moderate computat...
We present a spectral multi-puncture initial data solver based on the LORENE library http://***/ . The solver generates multi black holes initial data with arbitrary linear momentum and spin within a moderate computational resource. The local convergence test shows that the solution rapidly converged to a high precision.
We present a new flexible alignment method to align two or more similar images, especially biological images. By minimizing an energy functional measuring the difference of the initial image and target image, an L2-gr...
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In this paper, a novel method for improving flexible neural tree is proposed to classify the leukemia cancer data. The hybrid flexible neural tree with pre-defined instruction sets can be created and evolved. The stru...
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In this section, we introduce some outstanding research achievements made by CAS scientists in 2010, as listed in the Chinese version of Science Development Report published in March 2011.
In this section, we introduce some outstanding research achievements made by CAS scientists in 2010, as listed in the Chinese version of Science Development Report published in March 2011.
A sequential quadratic programming (SQP) method is pro posed to solve the distributed beamforming problem in multiple relay networks. The problem is formulated as the minimization of the total relay transmit power, su...
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A sequential quadratic programming (SQP) method is pro posed to solve the distributed beamforming problem in multiple relay networks. The problem is formulated as the minimization of the total relay transmit power, subject to individual signal-to-interference-and-noise ratio constraints at each receiver, which is a nonconvex quadratic constraint quadratic programming. Rather than solving its semi-definite programming (SDP) relaxation, we apply the SQP method to solve its tightened form to replace its inequality constraints with equalities. Its global convergence is guaranteed. Simulations show that it not only runs much faster, but also performs as good as SDP for calculation results.
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