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High Order IMEX Stochastic Galerkin Schemes for linear Transport Equation with Random Inputs and Diffusive Scalings

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Communications on Applied Mathematics and Computation 2024年第1期6卷 325-339页

作者： Zheng Chen lin mu Department of Mathematics University of Massachusetts Dartmouth285 Old Westport RoadDartmouth02747MAUSA Department of Mathematics University of GeorgiaAthens30602GAUSA

In this paper,we consider the high order method for solving the linear transport equations under diffusive scaling and with random *** tackle the randomness in the problem,the stochastic Galerkin method of the generalized polynomial chaos approach has been ***,the high order implicit-explicit scheme under the micro-macro decomposition framework and the discontinuous Galerkin method have been *** provide several numerical experiments to validate the accuracy and the stochastic asymptotic-preserving property.

关键词： Stochastic Galerkin scheme linear transport equations generalized polynomial approach stochastic asymptotic-preserving property

Splitting of the virtual class for genus one stable quasimaps

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Science China Mathematics 2024年第12期67卷 2681-2700页

作者： Sanghyeon Lee mu-lin Li Shanghai Center for Mathematical Sciences Fudan UniversityShanghai 200438China School of Mathematics Hunan UniversityChangsha 410012China

We analyze the local structure of the moduli space of genus one stable *** it with the p-fields theory developed by Chang and Li(2020),we prove the splitting formula for the virtual cycle of stable quasimaps to comple... 详细信息

关键词： stable quasimaps virtual cycles moduli stack deformation theory

Frequent central Pacific La Nina events may accelerate Arctic warming since the 1980s

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Acta Oceanologica Sinica 2021年第11期40卷 62-69页

作者： Jing Li lin mu linhao Zhong College of Life Sciences and Oceanography Shenzhen UniversityShenzhen 518060China College of Marine Science and Technology China University of GeosciencesWuhan 430074China Southern Marine Science and Engineering Guangdong Laboratory(Guangzhou) Guangzhou 511458China CAS Key Laboratory of Regional Climate-Environment for Temperate East Asia Institute of Atmospheric PhysicsChinese Academy of SciencesBeijing 100029China

Including significant warming trend,Arctic climate changes also exhibit strong interannual variations in various fields,which is suggested to be related to El Nino and Southern Oscillation(ENSO)*** studies have demonstrated the different impacts on the Arctic of central Pacific(CP)and eastern Pacific(EP)ENSO events,and suggested these impacts are largely of opposite sign for ENSO warm and cold *** results illustrate asymmetrical changes for the cold and warm ENSO events,especially for the La Nina *** to the past frequent basin-wide cooling La Nina events,since the 1980 s the cooling center for the La Nina event has strengthened and moved westward along with the increasing frequency for the canonical and CP La Nina *** to the basin-wide cooling and canonical La Nina events,the frequent CP La Nina events induce significant warming from the Beaufort Sea to Greenland via the convection center moving northward over the western *** analysis and numerical experiments both suggest that the changes in La Nina type may also accelerate Arctic warming.

关键词： ENSO diversity La Nina type the Arctic warming

Statistical Entropy of the Kaluza-Klein Black Hole from the Horizon Conformal Field Theory

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Chinese Physics Letters 2001年第3期18卷 331-333页

作者： JING Ji-Liang YAN mu-lin Institute of Physics and Department of Physics Hunan Normal UniversityChangsha 410081 Department of Astronomy and Applied Physics University of Science and Technology of ChinaHefei 230026

The statistical entropy of the Kaluza-Klein black hole is studied by counting the black hole states which form an algebra of diffeomorphism at Killing horizon with a central *** is shown that the entropy yielded by the standard Cardy formula agrees with the Bekenstein-Hawking entropy only if we take period T of function u as the periodicity of the Euclidean black *** the other hand,the first-order quantum correction to the entropy is proportional to logarithm of the Bekenstein-Hawking entropy with a factor-1/2.

关键词： horizon periodicity entropy

Remark on the Higher Order Perturbative Studies of Flavor Breaking in the Standard SU(3) Skyrmion Quantum Mechanics

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Chinese Physics Letters 1997年第6期14卷 405-408页

作者： LI Jin-ping YAN mu-lin Fundamental Physics Center and Nonlinear Sciqnce Center University of Science and Technology of ChinaHefei 230026

A quantitative criterion is proposed for testing the rationality of an effective QCD baryon *** higher order corrections of the standard SU(3)Skyrme model to the Gell-Mann-Okubo relations for baryons are studied accor... 详细信息

关键词： theory. SU(3) criterion

Quantifying the Spatial Characteristics of the Moisture Transport Affecting Precipitation Seasonality and Recycling Variability in Central Asia

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Advances in Atmospheric Sciences 2022年第6期39卷 967-984页

作者： linhao ZHONG Lijuan HUA Zhaohui GONG Yao YAO lin mu National Institute of Natural Hazards Ministry of Emergency Management of ChinaBeijing 100085China Key Laboratory of Computational Geodynamics College of Earth and Planetary SciencesUniversity of Chinese Academy of SciencesBeijing 100049China CAS Key Laboratory of Regional Climate-Environment for Temperate East Asia Institute of Atmospheric PhysicsChinese Academy of SciencesBeijing 100029China University of Chinese Academy of Sciences Beijing 100049China College of Life Sciences and Oceanography Shenzhen UniversityShenzhen 518060China

Moisture contribution and transport pathways for Central Asia(CA)are quantitatively examined using the Lagrangian water cycle model based on reanalysis and observational data to explain the precipitation seasonality and the moisture transport variation during ***-related(northwesterly and westerly)transport explains 42%of CA precipitation and dominates in southwest CA,where precipitation is greatest in the cold *** CA,including part of Northwest China,experiences its maximum precipitation in the warm season and is solely dominated by southerly transport,which explains about 48%of CA *** remaining 10%of CA precipitation is explained by northerly transport,which steadily impacts north CA and causes a maximum in precipitation in the warm *** CA areas are exposed to seasonally varying moisture transport,except for southeast and north CA,which are impacted by southerly and northerly transport *** general,the midlatitude westerlies-driven transport and the Indian monsoon-driven southerly-related transport explain most of the spatial differences in precipitation seasonality over ***,the contribution ratio of local evaporation in CA to precipitation exhibits significant interdecadal variability and a meridionally oriented tripole of moisture transport *** the early 2000s,CA has experienced a decade of anomalously low local moisture contribution,which seems jointly determined by the weakened moisture contribution from midlatitudes(the Atlantic,Europe,and CA itself)and the enhanced contribution from high latitudes(West Siberia and the Arctic)and tropical areas(South Asia and the Indian Ocean).

关键词： Central Asia precipitation seasonality recycling ratio moisture transport dynamical recycling model interdecadal variability

A Numerical Study on the Weak Galerkin Method for the Helmholtz Equation

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Communications in Computational Physics 2014年第5期15卷 1461-1479页

作者： lin mu Junping Wang Xiu Ye Shan Zhao Department of Mathematics Michigan State UniversityEast LansingMI 48824USA. Division of Mathematical Sciences National Science FoundationArlingtonVA 22230USA. Department of Mathematics and Statistics University of Arkansas at Little RockLittle RockAR 72204USA. Department of Mathematics University of AlabamaTuscaloosaAL 35487USA.

A weak Galerkin(WG)method is introduced and numerically tested for the Helmholtz *** method is flexible by using discontinuous piecewise polynomials and retains the mass conservation *** the same time,the WG finite element formulation is symmetric and parameter *** test scenarios are designed for a numerical investigation on the accuracy,convergence,and robustness of the WG method in both inhomogeneous and homogeneous media over convex and non-convex *** problems with high wave numbers are also *** numerical experiments indicate that the weak Galerkin is a finite element technique that is easy to implement,and provides very accurate and robust numerical solutions for the Helmholtz problem with high wave numbers.

关键词： Galerkin finite element methods discrete gradient Helmholtz equation large wave numbers weak Galerkin.

Analyses of the predicted changes of the global oceans under the increased greenhouse gases scenarios

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Chinese Science Bulletin 2006年第21期51卷 2651-2656页

作者： mu lin WU Dexing CHEN Xue'en Jungclaus Physical Oceanography Laboratory Ocean University of ChinaQingdao 266003 China Institute of Oceanography Hamburg University Hamburg 20146Germany Max-Planck Institute for Meteorology Hamburg 20146 Germany

A new climate model (ECHAM5/MPI-OM1) developed for the fourth assessment report of the Intergovernmental Panel on Climate Change (IPCC) at Max-Planck Institute for Meteorology is used to study the climate changes under the different increased CO2 scenarios (B1, A1B and A2). Based on the corresponding model results, the sea surface temperature and salinity structure, the variations of the thermohaline circulation (THC) and the changes of sea ice in the northern hemisphere are analyzed. It is concluded that from the year of 2000 to 2100, un- der the B1, A1B and A2 scenarios, the global mean sea surface temperatures (SST) would increase by 2.5℃, 3.5℃ and 4.0℃ respectively, especially in the region of the Arctic, the increase of SST would be even above 10.0℃; the maximal negative value of the variation of the fresh water flux is located in the sub- tropical oceans, while the precipitation in the eastern tropical Pacific increases. The strength of THC de- creases under the B1, A1B and A2 scenarios, and the reductions would be about 20%, 25% and 25.1% of the present THC strength respectively. In the north- ern hemisphere, the area of the sea ice cover would decrease by about 50% under the A1B scenario.

关键词：温室气体 THC 气候模型 IPCC

Drift analysis of MH370 debris in the southern Indian Ocean

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Frontiers of Earth Science 2018年第3期12卷 468-480页

作者： Jia GAO lin mu Xianwen BAO Jun SONG Yang DING College of Oceanic and Atmospheric Sciences Ocean University of China Qingdao 266100 China National Marine Data and Information Service Tianjin 300171 China College of Marine Science and Technology China University of Geosciences Wuhan 430074 China School of Marine Science and Environment Engineering Dalian Ocean University Dalian 116023 China

Malaysian Airlines Flight MH370 disappeared on 8 March 2014, while flying from Kuala Lumpur to Beijing. A flaperon from the flight was found on Reunion Island in July 2015. Two more confirmed pieces of debris were found in Mauritius and Tanzania, and 19 unconfirmed items were found off Mozambique, South Africa, and Madagascar. Drift buoys originating from the designated underwater search area arrived in Reunion Island, Mauritius, and Tanzania. Some of these buoys took a similarly long time as did real debris to reach these destinations, following a heading northeast and then west. For the present study, a maritime object drift prediction model was developed. ＂High resolution surface currents, Stokes drift, and winds＂ were processed, and a series of model experiments were constructed. The predicted trajectories of the modeled objects were similar to the observed trajectories of the drift buoys. Many modeled objects drifted northward then westward, ending up in Reunion Island, Mauritius, and Tanzania with probabilities of 5%0, 5%0, and 19%o, respectively. At the end of the simulation, most objects were located near 10~S in the western Indian Ocean. There were significant differences between experiments with different leeway factors, possibly because of the influence of southeast trade winds. The north part of the underwater search area is most likely to be the crash site, because the predicted trajectories of objects originating here are consistent with the many pieces of debris found along the east coast of Africa and the absence of such findings on the west coast of Australia.

关键词： MH370 debris drift trajectory drift buoys surface currents Stokes drift