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A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery
Tongqing Guo, Di Zhou, Zhiliang Lu
2018-05-05
DOI:10.4208/aamm.2016.m1478
42515
3020
pp. 839-860
The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients
C. M. Fan, C.S. Chen, J. Monroe
2018-08-10
43154
4519
pp. 215-230
On the Boundary Integral Equations for a Two-Dimensional Slowly Rotating Highly Viscous Fluid Flow
D. Lesnic
2018-08-10
44096
5080
pp. 140-150
The Locally Conservative Galerkin (LCG) Method — a Discontinuous Methodology Applied to a Continuous Framework
Rhodri L. T. Bevan, Raoul vanLoon, Perumal Nithiarasu
2018-08-10
41014
3886
pp. 319-340
A Modified Kernel Method for Solving Cauchy Problem of Two-Dimensional Heat Conduction Equation
Jingjun Zhao, Songshu Liu, Tao Liu
2018-03-29
DOI:10.4208/aamm.12-m12113
43104
4871
pp. 31-42
Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method
Wenzhen Qu, Wen Chen
2018-03-29
DOI:10.4208/aamm.2013.m359
43359
4995
pp. 13-30
Group Invariant Solutions of the Plastic Torsion of Rod with Variable Cross Section
Kefu Huang, Houguo Li
2012-04-01
DOI:10.4208/aamm.10-m1201
40997
4474
pp. 382-388
Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials
Shuainan Liu, Zhuojia Fu, Yan Gu
2022-02-25
DOI:10.4208/aamm.OA-2020-0288
47984
3396
pp. 759-776
An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers
Huanying Bian, Yedan Shen, Guanghui Hu
2021-11-17
DOI:10.4208/aamm.OA-2020-0218
49745
4057
pp. 1418-1440
Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation
Qing Cheng, Cheng Wang
2021-11-17
DOI:10.4208/aamm.OA-2020-0297
119097
6101
pp. 1318-1354
Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response
Jamal Sakhr, Blaine A. Chronik
2020-10-20
DOI:10.4208/aamm.OA-2019-0203
50085
4631
pp. 18-57
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
$(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations
Yiying Wang, Yongkui Zou, Shimin Chai
2020-12-21
DOI:10.4208/aamm.OA-2020-0020
47914
3259
pp. 554-568
A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems
M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
2013-05-01
DOI:10.4208/aamm.12-m1211
42068
4814
pp. 269-308
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
The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions
B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos
2021-01-13
DOI:10.4208/aamm.13-13S03
43216
4380
pp. 442-460
New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation
Zhenping Li, Xiangtuan Xiong
2026-08-01
DOI:10.4208/aamm.OA-2024-0180
904
94
pp. 1269-1306
High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain
Xuenan Zhao, Jing An, Juan Zhang
2026-08-01
DOI:10.4208/aamm.OA-2024-0276
1033
83
pp. 1189-1209
On Stable Difference Schemes for the Solution of Soliton Type Coupled Sine-Gordon Equations in the Weak Sense
Ozgur Yildirim
2026-06-01
DOI:10.4208/aamm.OA-2023-0049
4292
79
pp. 988-1008
Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws
Cai-Feng Wang, Wai-Sun Don, Jia-Le Li, Bao-Shan Wang
2025-09-29
DOI:10.4208/aamm.OA-2024-0037
7393
499
pp. 1591-1624
Meshfree Methods for the Helmholtz Equation with Variable Wave Speed
Zhiyong Liu, Qiuyan Xu
2026-02-01
DOI:10.4208/aamm.OA-2024-0117
4948
442
pp. 296-321
Solving Fourth-Order PDEs Using the LMAPS
Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen
2020-06-01
DOI:10.4208/aamm.OA-2019-0216
50895
3404
pp. 920-939
Perfectly Matched Layer Method for Acoustic Scattering Problem by a Locally Perturbed Line with Impedance Boundary Condition
Xue Jiang, Xujing Li
2020-03-06
DOI:10.4208/aamm.OA-2019-0047
48657
4887
pp. 101-140
A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation
Guofei Pang, Wen Chen, Kam Yim Sze
2018-05-05
DOI:10.4208/aamm.2014.m693
43895
4731
pp. 166-186
A Regularized Singular Boundary Method for Inverse Cauchy Problem in Three-Dimensional Elastostatics
Aixia Zhang, Yan Gu, Qingsong Hua, Wen Chen
2021-07-01
DOI:10.4208/aamm.OA-2018-0103
47797
4284
pp. 1459-1477
Doubling Algorithm for Nonsymmetric Algebraic Riccati Equations Based on a Generalized Transformation
Bo Tang, Yunqing Huang, Ning Dong
2021-07-01
DOI:10.4208/aamm.OA-2018-0012
45337
4138
pp. 1327-1343
Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs
Jichun Li, Zhiwei Fang
2021-07-01
DOI:10.4208/aamm.OA-2018-0101
49178
4209
pp. 1305-1326
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