Acta mathematica scientia,Series A ›› 2017, Vol. 37 ›› Issue (1): 62-71.
Previous Articles Next Articles
Yang Fan1, Fu Chuli2, Li Xiaoxiao1, Ren Yupeng1
Received:
2016-05-19
Revised:
2016-10-17
Online:
2017-02-26
Published:
2017-02-26
Supported by:
Supported by the NSFC (11561045) and the Doctor Fund of Lan Zhou University of Technology
CLC Number:
Yang Fan, Fu Chuli, Li Xiaoxiao, Ren Yupeng. Fourier Truncation Regularization for a Class of Nonlinear Backward Heat Equation[J].Acta mathematica scientia,Series A, 2017, 37(1): 62-71.
[1] Carasso A. Error bounds in the final value problem for the heat equation. SIAM J Math Anal, 1976, 7:195-199 |
[1] | Fang Zhichao, Li Hong, Luo Zhendong, Liu Yang. Mixed Finite Volume Element Method and Numerical Simulation for Sine-Gordon Equation [J]. Acta mathematica scientia,Series A, 2018, 38(2): 395-416. |
[2] | Chen Chuanjun, Zhang Xiaoyan, Zhao Xin. A Two-Grid Finite Volume Element Approximation for One-Dimensional Nonlinear Parabolic Equations [J]. Acta mathematica scientia,Series A, 2017, 37(5): 962-975. |
[3] | LUO Zhen-Dong, LI Hong. A POD REDUCED-ORDER SPDMFE EXTRAPOLATING ALGORITHM FOR HYPERBOLIC EQUATIONS [J]. Acta mathematica scientia,Series A, 2014, 34(3): 872-890. |
[4] | ZHANG Wei-Guo, LIU Qiang, LI Zheng-Ming, LI Xiang. BOUNDED TRAVELING WAVE SOLUTIONS OF VARIANT BOUSSINESQ EQUATION WITH A DISSIPATION TERM AND DISSIPATION EFFECT [J]. Acta mathematica scientia,Series A, 2014, 34(3): 941-959. |
[5] | CHEN Chuan-Jun, ZHAO Xin. Analysis of a Two-grid Method for Characteristic Finite Element Solutions of Nonlinear Convection-diffusion Equations [J]. Acta mathematica scientia,Series A, 2014, 34(3): 643-654. |
[6] |
SHI Dong-Yang, YU Zhi-Yun.
Superclose and Superconvergence Analysis of a Low Order Nonconforming Mixed Finite Element Method for Stationary Stokes Equations with Damping [J]. Acta mathematica scientia,Series A, 2013, 33(4): 735-745. |
[7] | FANG Zhi-Chao, LI Hong, LUO Zhen-Dong. A Mixed Covolume Method for Pseudo-Hyperbolic Equation [J]. Acta mathematica scientia,Series A, 2013, 33(3): 535-550. |
[8] | LI Lei, SUN Ping, LUO Zhen-Dong. A New Mixed Finite Element Formulation and Error Estimates for Parabolic Equations [J]. Acta mathematica scientia,Series A, 2012, 32(6): 1158-1165. |
[9] | HE Siriguleng, LI Hong. Mixed Space--time Discontinuous Galerkin Method for Elastodynamics [J]. Acta mathematica scientia,Series A, 2012, 32(6): 1179-1190. |
[10] | RUI Hong-Xing, LIAN Xi-Meng. A Discontinuous Galerkin Domain Decomposition Method for Parabolic Problems [J]. Acta mathematica scientia,Series A, 2012, 32(5): 928-940. |
[11] | SHI Dong-Yang, FEI Li-Fang, XU Chao. Anisotropic Nonconforming Finite Element Analysis for Electromagnetic Wave Propagation in Double Negative Meta-materials [J]. Acta mathematica scientia,Series A, 2012, 32(5): 982-995. |
[12] | FENG Li-Xin, LI Yuan. Wavelet Regularization Method for Determining Heat Flux of Non-standard Inverse Conduction Problem [J]. Acta mathematica scientia,Series A, 2012, 32(4): 709-719. |
[13] | YUAN Yi-Rang, LI Chang-Feng. The Upwind Finite Difference Method for Three-dimensional Moving Boundary Value Problem [J]. Acta mathematica scientia,Series A, 2012, 32(2): 271-289. |
[14] | AN Jing, SUN Ping, LUO Zhen-Dong. A Simplified and Stabilized Second |Order Mixed Finite Element Formulation Based on Bubble Functions for Plane Elasticity Problems [J]. Acta mathematica scientia,Series A, 2011, 31(5): 1253-1265. |
[15] | ZHAO Zhong-Jian, CHEN Shao-Chun. New Approch of the Error Estimate for Nonconforming Plate Element [J]. Acta mathematica scientia,Series A, 2011, 31(4): 1091-1096. |
|