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FOURTH-ORDER ADAPTIVE MESH REFINEMENT BOTH IN SPACE AND IN TIME FOR INCOMPRESSIBLE NAVIER--STOKES EQUATIONS WITH DIRICHLET BOUNDARY CONDITION
Author: Zhao, Shubo; Zhang, Qinghai
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 290-315. DOI: 10.1137/25M1755370
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SEQUENTIAL AND INTELLIGENT DISSIPATIVE PARTICLE DYNAMICS: A MULTISCALE METHOD BASED ON TIME-SEQUENCE MATCHING AND MACHINE LEARNIN
Author: Jing, Baocai; Ye, Ting; Zhang, Shuyuan; Yin, Huiqi; Pan, Dingyi; Liu, Aihua
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 247-266. DOI: 10.1137/25M1752031
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EFFICIENT HADAMARD INTEGRATORS FOR TIME-DEPENDENT WAVE EQUATIONS IN BOUNDED DOMAINS: FORWARD AN
Author: Wei, Yuxiao; Leung, Shingyu; Cheng, Jin; Burridge, Robert; Qian, Jianliang
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 32-67. DOI: 10.1137/25M1755096
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FOURTH-ORDER UNIFORMLY ACCURATE INTEGRATORS WITH LONG TIME NEAR CONSERVATIONS FOR THE NONLINEAR DIRAC EQUATION IN THE NONRELATIVISTIC REGIM
Author: Wang, Lina; Wang, Bin; Li, Jiyong
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 1-31. DOI: 10.1137/25M1750986
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CONSTRUCTION OF BOUNDARY CONDITIONS FOR HYPERBOLIC RELAXATION APPROXIMATIONS III: THE LINEARIZED SULICIU MODEL WITH CHARACTERISTIC BOUNDARIE
Author: Jin, Muhan; Yong, Wen-An
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 99-119. DOI: 10.1137/25M1742643
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ASYMPTOTIC CONSISTENT FORMULATION AND NUMERICAL METHODS FOR THE PERIODIC ZAKHAROV SYSTEM IN THE SUBSONIC LIMIT REGIM
Author: He, Ying; Su, Chunmei; Zhao, Xiaofei
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 141-161. DOI: 10.1137/24M1711170
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ANALYSIS OF AN OPTIMAL CONTROL PROBLEM OF THE BACKWARD FRACTIONAL FEYNMAN--KAC EQUATION WITH TEMPORAL APPROXIMATIO
Author: Hao, Liyao; Tian, Wenyi
Journal: MULTISCALE MODELING & SIMULATION. 2026; Vol. 24, Issue 1, pp. 120-140. DOI: 10.1137/25M1727746
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STABILITY FOR THE INVERSE RANDOM SOURCE SCATTERING PROBLEMS IN ELASTIC WAVE
Author: Wang, Tianjiao; Xu, Xiang; Zhao, Yue
Journal: MULTISCALE MODELING & SIMULATION. 2025; Vol. 23, Issue 2, pp. 777-797. DOI: 10.1137/24M1672997