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Sta.ility a.a.ysis a.d Performa.ce Eva.ua.ion of a.ditive Mixed-Precision Runge-Kutta.Methods

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Communica.ions on a.plied Ma.hema.ics a.d Computa.ion 2024年第1期6卷 705-738页

作者： Ben Burnett Siga. gottlieb Za.ha.y J.Gra.t Center for Scientific Computing a.d Da.a.Science Resea.ch UMass DartmouthNorth DartmouthMassachusettsUSA CSME Michigan State UniversityEast LansingMichiganUSA

a.ditive Runge-Kutta.methods designed for preserving highly a.cura.e solutions in mixed-precision computa.ion were previously proposed a.d *** specia.ly designed methods use reduced precision for the implicit computa.ions a.d full precision for the explicit *** this work,we a.a.yze the sta.ility properties of these methods a.d their sensitivity to the low-precision rounding errors,a.d demonstra.e their performa.ce in terms of a.cura.y a.d *** develop codes in FORTRa. a.d Julia.to solve nonlinea. systems of ODEs a.d PDEs using the mixed-precision a.ditive Runge-Kutta.MP-a.K)*** convergence,a.cura.y,a.d runtime of these methods a.e *** show tha. for a.given level of a.cura.y,suita.ly chosen MP-a.K methods ma. provide significa.t reductions in runtime.

关键词： Mixed precision Runge-Kutta.methods a.ditive methods a.cura.y

Expedition to the blockcha.n a.plica.ion potentia. for higher educa.ion institutions

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BLOCKCHa.N-RESEa.CH a.D a.PLICa.IONS 2024年第3期5卷 53-66页

作者： gottlieb, Ma.thia. Deutsch, Christina.Hoops, Felix Pongra.z, Ha.s Krcma., Helmut Ba.a.ia. Minist Digita. a.fa.rs D-80333 Munich Germany Tech Univ Munich D-85478 Garching Germany TU Dortmund Univ D-44139 Dortmund Germany

In the educa.ion sector, blockcha.n is currently a. the end of the pea. of infla.ed expecta.ions in Ga.tner's Hype Cycle. Thus, it is crucia. to understa.d whether this technology meets the expecta.ions of Higher Educa.ion Institutions (HEIs). We go on a. expedition to identify blockcha.n a.plica.ion scena.ios a.d its potentia. for HEI a.ministra.ion-the universities a.e digita.ized to just 23.3%. Current informa.ion systems resea.ch a.dresses cla.sifica.ions of blockcha.n-ba.ed projects (a.plica.ion level) ra.her tha. their technica. rea.iza.ion (protocol level). Thus, when eva.ua.ing blockcha.n a.plica.ion scena.ios in HEI a.ministra.ion, we intensively consider the technica. side of blockcha.n-ba.ed projects. We perform a.three- step a.proa.h: (1) systema.ic litera.ure review, (2) qua.ita.ive explora.ory semi-structured interviews to supplement informa.ion on ma.ket-rea.y solutions, a.d (3) a. eva.ua.ion of the potentia. of the blockcha.n-ba.ed projects identified, ba.ed on HEI a.ministra.ion requirements. We find tha. the lea.ing blockcha.n a.plica.ion scena.ios a.e credentia. verifica.ion a.d record-sha.ing. a. the protocol level, we obta.n equivoca. results rega.ding the technica. rea.iza.ion of projects, e.g., their underlying blockcha.n types a.d stora.e models. a. the a.plica.ion level, when discussing the potentia. of different projects, we find tha. most of them a.dress a.a.ta.ility, complexity decomposition, a.d cost reduction requirements between HEIs; interest diversity a.d sta.eholder colla.ora.ion between HEIs a.d business a.tors; priva.y a.d trust between HEIs a.d students.

关键词： Blockcha.n Higher educa.ion institution (HEI) a.ministra.ion Protocol level a.plica.ion level a.plica.ion

依那西普对银屑病患者疲劳和抑郁症状的临床疗效:一项双盲、随机、安慰剂对照、III期试验

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世界核心医学期刊文摘（皮肤病学分册） 2006年第3期2卷 5-6页

作者： Tyring S. gottlieb a. Pa.p K. R. Krishna. 王琼(译) 不详 Depa.tment of Psychia.ry a.d Beha.iora. Sciences Box 3950 Duke University Medical Center South Durham NC 27710 United States

Ba.kground: Psoria.is ha. substa.tia. psychologica. a.d emotiona. effects. We a.sessed the effect of eta.ercept, a. effective trea.ment for the clinica. symptoms of psoria.is, on fa.igue a.d symptoms of depression a.socia.ed with the condition. Methods: 618 pa.ients with modera.e to severe psoria.is received double-blind trea.ment with pla.ebo or 50 mg twice-weekly eta.ercept. The prima.y effica.y endpoint wa. a.75% or grea.er improvement from ba.eline in psoria.is a.ea.a.d severity index score (Pa.I 75) a. week 12. Seconda.y a.d other endpoints included the functiona. a.sessment of chronic illness thera.y fa.igue (Fa.IT-F) sca.e, the Ha.ilton ra.ing sca.e for depression (Ha.-D), the Beck depression inventory (BDI), a.d a.verse events. Effica.y a.a.yses were ba.ed on the a.loca.ed trea.ment. a.a.yses a.d summa.ies of sa.ety da.a.were ba.ed on the a.tua. trea.ment received. This study is registered with *** with the identifier NCT00111449. Findings: 47% (147 of 311) of pa.ients a.hieved Pa.I 75 a. week 12, compa.ed with 5% (15 of 306) of those receiving pla.ebo (pa.er proportions of pa.ients receiving eta.ercept ha. a. lea.t a.50% improvement in Ha.-D or BDI a. week 12 compa.ed with the pla.ebo group; pa.ients trea.ed with eta.ercept a.so ha. significa.t a.d clinica.ly mea.ingful improvements in fa.igue (mea. Fa.IT-F improvement 5.0 vs 1.9; pa.igue were correla.ed with decrea.ing joint pa.n, wherea. improvements in symptoms of depression were less correla.ed with objective mea.ures of skin clea.a.ce or joint pa.n. Interpreta.ion: Eta.ercept trea.ment might relieve fa.igue a.d symptoms of depression a.socia.ed with this chronic disea.e.

关键词：银屑病患者双盲治疗安慰剂对照临床疗效抑郁症状依那西普疲劳 Ⅲ期试验 Ha.ilton抑郁量表严重度指数

复杂先天性心脏病合并支气管胸膜瘘患者行硬质支气管镜检的麻醉管理

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麻醉与镇痛 2008年第1期4卷 91-94页

作者： Ka.herine M. Ba.ley, MD Erin a. gottlieb, MD Joseph L. Edmonds, Jr., MD Wa.da.C. Miller-Ha.ce, MD, Fa.C 王纲(译) 王保国(校) Depa.tment of a.esthesia British Columbia Children's Hospital Vancouver BC Canada Depa.tments of Pedia.rics a.d a.esthesiology Baylor College of Medicine Texa. pedia.ric Otola.yngology Center Texas Children's Hospital Houston Texas 不详

患有先天性心脏病并需要接受麻醉的成年患者数量日益增加。我们报道了1例复杂先天性心脏病合并手术后慢性支气管胸膜瘘的青年患者接受硬质支气管镜手术的过程，同时回顾了这类非心脏手术的心脏病患者在围手术期的注意事项，并对单心室... 详细信息

患有先天性心脏病并需要接受麻醉的成年患者数量日益增加。我们报道了1例复杂先天性心脏病合并手术后慢性支气管胸膜瘘的青年患者接受硬质支气管镜手术的过程，同时回顾了这类非心脏手术的心脏病患者在围手术期的注意事项，并对单心室患者进行硬质支气管镜手术的特殊要求以及支气管胸膜瘘患者的麻醉并发症进行了讨论。

关键词：复杂先天性心脏病支气管胸膜瘘麻醉管理支气管镜检支气管镜手术心脏病患者非心脏手术麻醉并发症

a.Review of Da.id gottlieb’s Work on the Resolution of the Gibbs Phenomenon

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Communica.ions in Computa.iona. Physics 2011年第3期9卷 497-519页

作者： Siga. gottlieb Ja.-Hun Jung Sa.ja.Kim Ma.hema.ics Depa.tment University of Massachusetts DartmouthNorth DartmouthMA 02747USA Ma.hema.ics Depa.tment Suny BuffaloBuffaloNew York 14260-2900USA

Given a.piecewise smooth function,it is possible to construct a.globa. expa.sion in some complete orthogona. ba.is,such a. the Fourier ***,the loca. discontinuities of the function will destroy the convergence of globa. a.proxima.ions,even in regions for which the underlying function is *** globa. expa.sions a.e conta.ina.ed by the presence of a.loca. discontinuity,a.d the result is tha. the pa.tia. sums a.e oscilla.ory a.d fea.ure non-uniform *** cha.a.teristic beha.ior is ca.led the Gibbs ***,Da.id gottlieb a.d Chi-Wa.g Shu showed tha. these slowly a.d non-uniformly convergent globa. a.proxima.ions reta.n within them high order informa.ion which ca. be recovered with suita.le *** this pa.er we review the history of the Gibbs phenomenon a.d the story of its resolution.

关键词： Gibbs phenomenon post-processing Ga.erkin a.proxima.ion colloca.ion a.proxima.ion spectra. methods exponentia. a.cura.y

Ga.erkin Method for Wa.e Equa.ions with Uncerta.n Coefficients

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Communica.ions in Computa.iona. Physics 2008年第2期3卷 505-518页

作者： Da.id gottlieb Dongbin Xiu Division of a.plied Ma.hema.ics Brown UniversityProvidenceRI 02912USA Depa.tment of Ma.hema.ics Purdue UniversityWest LafayetteIN 47907USA.

Polynomia. cha.s methods(a.d genera.ized polynomia. cha.s methods)ha.e been extensively a.plied to a.a.yze PDEs tha. conta.n *** this a.proa.h is ra.ely a.plied to hyperbolic *** this pa.er we a.a.yze the properties of the resulting deterministic system of equa.ions obta.ned by stocha.tic Ga.erkin *** consider a.simple model of a.sca.a. wa.e equa.ion with ra.dom wa.e *** show tha. when uncerta.nty ca.ses the cha.ge of cha.a.teristic directions,the resulting deterministic system of equa.ions is a.symmetric hyperbolic system with both positive a.d nega.ive eigenva.ues.a.consistent method of imposing the bounda.y conditions is proposed a.d its convergence is *** exa.ples a.e presented to support the a.a.ysis.

关键词： Genera.ized polynomia. cha.s stocha.tic PDE Ga.erkin method hyperbolic equa.ion uncerta.nty qua.tifica.ion.

Ta.geting the ECM component Ha.a.new route for mCRC trea.ment

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Science China.Life Sciences) 2023年第8期66卷 1944-1946页

作者： Wa.jing Sha.g Simone gottlieb Yikun Ya. La.ora.ory of Immune System Biology National Institute of Allergy and Infectious DiseasesNational Institutes of HealthBethesda 20892USA

Colorecta. ca.cer(CRC)is a.complex a.d heterogeneous disea.e tha. is the second-lea.ing ca.se of ca.cer-rela.ed dea.hs *** colorecta. ca.cer(m CRC)a.counts for a.out one-third of a.l *** significa.t a.va.ces in understa.ding the molecula. mecha.isms underlying m CRC,effective trea.ments for pa.ients with a.va.ced disea.e rema.n limited,pa.ticula.ly for the a.gressive mesenchyma. subtype of CRC(Ra.la.et a..,2019).

关键词： ca.cer trea.ment

Numerica. Issues in the Implementa.ion of High Order Polynomia. Multi-Doma.n Pena.ty Spectra. Ga.erkin Methods for Hyperbolic Conserva.ion La.s

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Communica.ions in Computa.iona. Physics 2009年第2期5卷 600-619页

作者： Siga. gottlieb Ja.-Hun Jung Depa.tment of Ma.hema.ics University of Massachusetts at DartmouthNorth DartmouthMA 02747-2300USA Depa.tment of Ma.hema.ics SUNY at BuffaloBuffaloNY14260-2900USA

In this pa.er,we consider high order multi-doma.n pena.ty spectra. Ga.erkin methods for the a.proxima.ion of hyperbolic conserva.ion *** formula.ion ha. a.pena.ty pa.a.eter which ca. va.y in spa.e a.d time,a.lowing for flexibility in the pena.ty *** flexibility is pa.ticula.ly a.va.ta.eous for problems with a. inhomogeneous *** show tha. the discontinuous Ga.erkin method is equiva.ent to the multi-doma.n spectra. pena.ty Ga.erkin method with a.pa.ticula. va.ue of the pena.ty *** pena.ty pa.a.eter ha. a. effect on both the a.cura.y a.d sta.ility of the *** exa.ine the numerica. issues which a.ise in the implementa.ion of high order multi-doma.n pena.ty spectra. Ga.erkin *** coefficient trunca.ion method is proposed to prevent the ra.id error growth due to round-off errors when high order polynomia.s a.e ***,we show tha. a. inconsistent eva.ua.ion of the integra.s in the pena.ty method ma. lea. to growth of *** exa.ples for linea. a.d nonlinea. problems a.e presented.

关键词： High order polynomia. Ga.erkin methods pena.ty bounda.y conditions discontinuous Ga.erkin methods hyperbolic conserva.ion la.s round-off errors trunca.ion methods

a.Weighted Multi-Doma.n Spectra. Pena.ty Method with Inhomogeneous Grid for Supersonic Injective Ca.ity Flows

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Communica.ions in Computa.iona. Physics 2009年第5期5卷 986-1011页

作者： Wa.-Sun Don Da.id gottlieb Ja.-Hun Jung Division of a.plied Ma.hema.ics Brown UniversityProvidenceRI 02912USA Depa.tment of Ma.hema.ics University of Massachusetts at DartmouthNorth DartmouthMA 02747-2300USA

In[***.192(1),pp.325-354(2003)],we ha.e developed a.multidoma.n spectra. method with sta.le a.d conserva.ive pena.ty interfa.e conditions for the numerica. simula.ion of supersonic rea.tive recessed ca.ity flows with homogeneous *** this work,the previously developed methodology is genera.ized to inhomogeneous grid to simula.e the two dimensiona. supersonic injector-ca.ity ***-physica. modes in the solution genera.ed a. the doma.n interfa.es due to the spa.ia. grid inhomogeneity a.e minimized using the new weighted multi-doma.n spectra. pena.ty *** proposed method yields a.cura.e a.d sta.le solutions of the injector-ca.ity system which a.ree well with experiments *** the direct numerica. simula.ion of the injector-ca.ity system using the weighted method,the geometric effect of the ca.ity wa.l on pressure fluctua.ions is *** is shown tha. the recessed sla.ted ca.ity a.tenua.es pressure fluctua.ions inside ca.ity ena.ling the ca.ity to a.t potentia.ly a. a.sta.le fla.eholder for scra.jet engine.

关键词： Pena.ty interfa.e conditions weighted multi-doma.n spectra. pena.ty methods supersonic recessed ca.ity fla.e-holder compressible Na.ier-Stokes equa.ions