Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations

S. C. Shiralashetti; L. M. Angadi; A. B. Deshi

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Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations

机译：抛物面偏微分方程数值解的双向基于小波的多基线和全近似方案

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This paper presents biorthogonal wavelet-based multigrid (BWMG) and full approximation scheme (FAS) for the numerical solution of parabolic partial differential equations (PPDEs), which are working horse behind many commercial applications like finger print image compression. Performance of the proposed schemes is better than the existing ones in terms of super convergence with less computational time. Some of the test problems are taken to demonstrate the applicability and validity of the method.

机译：本文介绍了基于双正交小波的多重线（BWMG）和全近似方案（FAS），用于抛物面偏微分方程（PPDES）的数值解，它们是手指打印图像压缩等许多商业应用的工作马。在具有较少计算时间的超级融合方面，所提出的方案的性能优于现有的方案。采取了一些测试问题来证明方法的适用性和有效性。

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来源
《Asian-European journal of mathematics》 |2019年第4期|共20页
作者
S. C. Shiralashetti; L. M. Angadi; A. B. Deshi;
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作者单位

*Department of Mathematics Karnatak University Dharwad 580003 India;

?Department of Mathematics Govt. First Grade College Chikodi 591201 India;

*Department of Mathematics Karnatak University Dharwad 580003 India;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Wavelet multigrid; spline wavelets; filter coefficients; full-approximation scheme; PPDEs;

机译：小波多缘;样条小波;滤波器系数;全近似方案;ppdes;

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1. Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations [J] . S. C. Shiralashetti, L. M. Angadi, A. B. Deshi Asian-European journal of mathematics . 2019,第4期

机译：抛物面偏微分方程数值解的双向基于小波的多基线和全近似方案
2. Biorthogonal wavelet-based multigrid method for the numerical solution of elliptic partial differential equations [J] . S. C. Shiralashetti, M. H. Kantlit, A. B. Deshi International Journal of Computational Materials Science and Engineering . 2020,第4期

机译：基于Biorthogonal小波的椭圆偏微分方程数值解的多重方法
3. Numerical Solution of Some Class of Nonlinear Partial Differential Equations Using Wavelet-Based Full Approximation Scheme [J] . International journal of computational methods . 2020,第6期

机译：基于小波的全近似方案的一类非线性偏微分方程的数值解
4. Some remarks on the numerical solution of parabolic partial differential equations [C] . R. Campagna, S. Cuomo, S. Leveque, International Conference of Computational Methods in Sciences and Engineering . 2017

机译：关于抛物面偏微分方程数值解的几点备注
5. A wavelet-based spatially and temporally adaptive numerical method for partial differential equations and its application to the solution of the heat flow problem in crystal growth. [D] . Anderson, David B. 1996

机译：基于小波的时空自适应数值方法用于偏微分方程及其在晶体生长中热流问题求解中的应用。
6. High accuracy finite difference approximation to solutions of elliptic partial differential equations [O] . Robert E. Lynch, John R. Rice 1978

机译：椭圆型偏微分方程解的高精度有限差分近似
7. On Multilevel Picard Numerical Approximations for High-Dimensional Nonlinear Parabolic Partial Differential Equations and High-Dimensional Nonlinear Backward Stochastic Differential Equations [O] . Weinan E, Martin Hutzenthaler, Arnulf Jentzen, 2019

机译：高维非线性抛物面偏微分方程和高维非线性向后差动方程的多级图钉数值近似
8. Efficient Numerical Approximations of Tracking Statistical Quantities of Interest From the Solution of High-Dimensional Stochastic Partial Differential Equations. [R] . Trenchea, C. 2012

机译：基于高维随机偏微分方程解的跟踪统计量的有效数值逼近。

Biorthogonal wavelet-based multigrid and full approximation scheme for the numerical solution of parabolic partial differential equations

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