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A High-Efficient Algorithm for Parabolic Problems with Time-Dependent Coefficients
Chuanmiao Chen, Xiangqi Wang, Hongling Hu
2018-05-05
DOI:10.4208/aamm.2015.m1281
40618
2949
pp. 501-514
A Quadratic Finite Volume Method for Parabolic Problems
Yuanyuan Zhang, Xiaoping Liu
2023-10-11
DOI:10.4208/aamm.OA-2021-0313
30657
2767
pp. 1407-1427
A FEM for Solving Two-Dimensional Nonlinear Elliptic-Parabolic Interface Problems with Nonhomogeneous Jump Conditions
Liqun Wang, Songming Hou, Liwei Shi
2018-09-17
DOI:10.4208/aamm.OA-2017-0097
43836
3047
pp. 752-766
Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems
Rong Huang, Zhifeng Weng, Jianhua Yuan
2026-08-01
DOI:10.4208/aamm.OA-2024-0004
848
94
pp. 1242-1268
A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems
Xianbing Luo, Yanping Chen, Yunqing Huang
2013-05-01
DOI:10.4208/aamm.12-m1296
42870
4255
pp. 688-704
Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations
Xiaoqing Xing, Yanping Chen
2011-03-01
DOI:10.4208/aamm.10-m1006
41383
4076
pp. 401-419
A Method of Lines Based on Immersed Finite Elements for Parabolic Moving Interface Problems
Tao Lin, Yanping Lin, Xu Zhang
2021-01-13
DOI:10.4208/aamm.13-13S11
42716
4228
pp. 548-568
Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition
Liping Zhou, Shi Shu, Haiyuan Yu
2018-09-17
DOI:10.4208/aamm.OA-2017-0067
44153
3237
pp. 362-389
Alternating Direction Implicit Orthogonal Spline Collocation on Non-Rectangular Regions
Bernard Bialecki, Ryan I. Fernandes
2021-01-13
DOI:10.4208/aamm.13-13S05
42588
4338
pp. 461-476
A Priori Error Estimates of Finite Element Methods for Linear Parabolic Integro-Differential Optimal Control Problems
Wanfang Shen, Liang Ge, Danping Yang, Wenbin Liu
2014-06-01
DOI:10.4208/aamm.2012.m30
43195
4329
pp. 552-569
A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations
Xiaohua Zhang, Shengfeng Wang
2026-04-01
DOI:10.4208/aamm.OA-2023-0261
5091
270
pp. 482-518
A Fully Discrete Method for Space-Time Fractional Parabolic Problems
Zunlin Tan, Xiaoping Xie
2026-08-01
DOI:10.4208/aamm.OA-2024-0056
1041
96
pp. 1210-1241
An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste
Changfeng Li, Yirang Yuan, Huailing Song
2021-07-01
DOI:10.4208/aamm.OA-2017-0332
46623
3937
pp. 1384-1417
A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media
Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
2020-12-21
DOI:10.4208/aamm.OA-2020-0052
47705
3185
pp. 590-618
The Variational Iteration Method for an Inverse Problem of Finding a Source Parameter
Zongli Ma, Shumin Li
2018-05-05
DOI:10.4208/aamm.2015.m1292
42332
3040
pp. 861-867
Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations
Liyong Zhu
2018-05-05
DOI:10.4208/aamm.2015.m1045
43540
4790
pp. 157-172
Analysis of Finite Difference Approximations of an Optimal Control Problem in Economics
Alexander Lapin, Shuhua Zhang, Sergey Lapin, Na Yan
2021-07-01
DOI:10.4208/aamm.OA-2018-0186
49044
4491
pp. 1358-1375
B-Spline Gaussian Collocation Software for Two-Dimensional Parabolic PDEs
Zhi Li, Paul Muir
2021-01-13
DOI:10.4208/aamm.13-13S09
42612
4229
pp. 528-547
A Spectral Split-Step Padé Method for Guided Wave Propagation
Daniel Walsken, Pavel Petrov, Matthias Ehrhardt
2026-01-30
DOI:10.4208/aamm.OA-2025-0179
998
71
pp. 1602-1615
Numerical Approximation of Oscillatory Solutions of Hyperbolic-Elliptic Systems of Conservation Laws by Multiresolution Schemes
Stefan Berres, Raimund Bürger, Alice Kozakevicius
2018-08-10
DOI:10.4208/aamm.09-m0935
40361
4163
pp. 581-614
Positive and Conservative Characteristic Block-Centered Finite Difference Methods for Convection Dominated Diffusion Equations
Xinshu Li, Kai Fu
2022-06-13
DOI:10.4208/aamm.OA-2021-0051
42492
3631
pp. 1087-1110
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