Approximation of the Discrete Green’s Function for the Numerical Solution of the Parabolic Equation

机译：抛物方程数值解的离散格林函数逼近

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The goal of this paper is to find new ways to approximate the discrete Green's function for the numerical solution of a narrow-angle parabolic equation to provide trade-offs in accuracy vs. computational cost. Special attention is paid to modification of conventional methods.

机译：本文的目的是为窄角抛物线方程的数值解决方案找到近似离散离散格林函数的新方法，以提供精度与计算成本之间的权衡。特别注意传统方法的修改。

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《International Siberian Conference on Control and Communications》|2019年|1-3|共3页
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Akulinichev Yuri Pavlovich; Mogilnikov Andrey Vladimirovich;
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Mathematical model; Green's function methods; Boundary conditions; Propagation; Discrete Fourier transforms; Computational efficiency; Nonhomogeneous media;

机译：数学模型;格林函数法;边界条件;传播;离散傅里叶变换;计算效率;非均匀介质;

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1. Analysis for time discrete approximations of blow-up solutions of semilinear parabolic equations [J] . Kyza I., Makridakis C. SIAM Journal on Numerical Analysis . 2011,第1a2期

机译：半线性抛物方程爆破解的时间离散逼近分析
2. Discrete approximations of BV solutions to doubly nonlinear degenerate parabolic equations [J] . Evje S., Karlsen KH. Numerische Mathematik . 2000,第3期

机译：双重非线性退化抛物型方程的BV解的离散逼近。
3. Microwave Signatures of Snow Cover Using Numerical Maxwell Equations Based on Discrete Dipole Approximation in Bicontinuous Media and Half-Space Dyadic Green's Function [J] . Shurun Tan, Jiyue Zhu, Leung Tsang, Selected Topics in Applied Earth Observations and Remote Sensing, IEEE Journal of . 2017,第11期

机译：基于离散连续偶极近似和半空间二进格林函数的离散麦克斯方程数值麦克斯韦方程的积雪的微波特征
4. Approximation of the Discrete Green’s Function for the Numerical Solution of the Parabolic Equation [C] . Akulinichev Yuri Pavlovich, Mogilnikov Andrey Vladimirovich International Siberian Conference on Control and Communications . 2019

机译：抛物线方程数值解的离散绿色函数的近似
5. On some problems related to the regularity theory for second-order elliptic-parabolic equations and their numerical approximations. [D] . Dong, Hongjie. 2005

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6. Solution of the chemical master equation by radial basis functions approximation with interface tracking [O] . Ivan Kryven, Susanna Röblitz, Christof Schütte 2015

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7. Solutions processus intégrales des équations d'évolution abstraites et application à l'approximation numérique d'un problème parabolique dégénéré. Integral-process solutions of abstract evolution equations and application to numerical approximation of a degenerate parabolic boundary-value problem. [O] . Andreianov Boris, Karimou Gazibo Mohamed 2013

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8. Numerical Solution of the Perturbed Harmonic Oscillator Equation and the Hartreefock Many-Electron Equations by Use of Green's Function [R] . Lehman, D. R. 1964

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Approximation of the Discrete Green’s Function for the Numerical Solution of the Parabolic Equation

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