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| 1 | Fourth-Order Splitting Methods for Time-Dependant Differential Equations显示文摘This study was suggested by previous work on the simulation of evolution equations with scale-dependent processes,e.g.,wave-propagation or heat-transfer,that are modeled by wave equations or heat equations.Here,we study both parabolic and hyperbolic equations.We focus on ADI (alternating direction implicit) methods and LOD (locally one-dimensional) methods,which are standard splitting methods of lower order,e.g.second-order.Our aim is to develop higher-order ADI methods,which are performed by Richardson extrapolation,Crank-Nicolson methods and higher-order LOD methods,based on locally higher-order methods.We discuss the new theoretical results of the stability and consistency of the ADI methods.The main idea is to apply a higher- order time discretization and combine it with the ADI methods.We also discuss the dis- cretization and splitting methods for first-order and second-order evolution equations. The stability analysis is given for the ADI method for first-order time derivatives and for the LOD (locally one-dimensional) methods for second-order time derivatives.The higher-order methods are unconditionally stable.Some numerical experiments verify our results. | Jürgen Geiser | 2008 | Numerical Mathematics(Theory,Methods and Applications)2008，1，3： | 2 |
| 2 | Incomplete gas mixing in air sacsof the duck 显示文摘 | TORRE-BUENO JR GEISER J SCHE- ID P | 1980 | Respiration Physiology1980，42，2： | 1 |
| 3 | Molecular Adaptations in Human Skeletal Muscle to Endurance Training Under Simulated Hypoxic Conditions 显示文摘 | VOGT M PUNTSCHART A GEISER J | 2001 | J Appl Physiol2001，，91： | 1 |
| 4 | The effects of epidural xylazine on halothane minium alveolar concentration in ponies显示文摘 | Doherty T J Geiser D R Rohrbach B W | 1997 | J Vet Pharmacol Ther1997，20，3： | 1 |
| 5 | Comparison of lichen, conifer needles, passive air sampling device, and snowpack as passive sampling media to measure semi-volatile organic compounds in remote atmospheres 显示文摘 | SCHRLAU J E GEISER L HAGEMAN K J | 2011 | Environmental Science & Technology2011，45，10： | 1 |
| 6 | Tamoxifen prevents apoptosis and follicle loss from cyclophosphamide in cultured rat ovaries显示文摘 | Piasecka-Srader J Blanco FF Delman DH Dixon DA Geiser JL Ciereszko RE | 2015 | Biol Reprod2015，92，5： | 1 |
| 7 | TGF-beta is a critical mediator of acute lung injury显示文摘 | PITTET J F GRIFFITHS M J GEISER T | 2001 | J Clin Invest2001，107，12： | 1 |
| 8 | The evolutionary biology and population genetics underlying fungal strain typing显示文摘 | TAYLOR J W GEISER D M BURT A | 1999 | Clin Microbiol Rev1999，12，1： | 1 |
| 9 | Error estimates for finite volume element methods for convection-diffusion-reaction equations显示文摘 | Rajen K.Sinha Jürgen Geiser | | 0，，01： | 1 |
| 10 | Torpor duration in relation to temperature and metabolism in hibernating ground squirrels显示文摘 | GEISER F KENAGY G J | 1988 | Physiol Zool1988，61，： | 1 |
| 11 | Cause of sea fan death in the West Indies显示文摘 | Geiser D M Taylor J W Ritchie K B etal | 1998 | Nature1998，394，： | 1 |
| 12 | Error estimates for finite volume el-ement methods for convection-diffusion-reaction equations显示文摘 | Sinha R K Geiser J | 2007 | Applied Numerical Mathematics2007，57，1： | 1 |
| 13 | Genealogy concordance between the mating type locus and seven other nudear gene supports formal recognition of nine phylogenetically distinct species within the Fusarium graminearum clad显示文摘 | O'Donnell K Ward T J Geiser DM | 2004 | Fungal Genetics and Biology2004，41，： | 1 |
| 14 | Molecular adaptations in human skeletal muscle to endurance training under simulated hypoxic conditions显示文摘 | Vogt M Puntschart A Geiser J | 2001 | J Appl Physiol2001，91，： | 1 |
| 15 | Molecular adaptations in human skeletal muscle to endurance training under simulated hypoxic conditions显示文摘 | VOGT M PUNTSCHART A GEISER J | 2001 | J Appl Physiol2001，91，1： | 1 |
| 16 | Training high living low: Molecular adaptations in humanskeletal muscle to endurance training under simulated high-altitudeconditions显示文摘 | Vogt M Puntschart A Geiser J | 2001 | J Appl Physiol2001，91，： | 1 |
| 17 | Molecular phylo- genetic analysis of Grifola frondosa (maitake) reveals a species partition separating eastern North American and A- sian isolates 显示文摘 | SHEN Qing GEISER D M ROYSE D J | | Mycologia0，94，3： | 1 |
| 18 | Molecular evolution of Agaricu* species based on ITS and LSU rDNA sequences 显示文摘 | Jozsef Geml David M Geiser Daniel J Royse | 2004 | My- cological Progress2004，3，2： | 1 |
| 19 | The current status of species recognition and identification in Aspergillus 显示文摘 | Geiser D M Klich M A Frisvad J C | 2007 | Stud Mycol2007，59，： | 1 |
| 20 | Training high-living low: changes of aerobic performance and muscle structure with training at simulated altitude显示文摘 | GEISER J VOGT M | 2001 | Int J Sports Med2001，22，8： | 1 |
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