%%====================================================================== %% WARNING: Do NOT edit this file. It was produced automatically %% with the UNIX pipeline %% %% biblex xxx.bib | \ %% gawk -f keywords.awk | \ %% egrep 'entrytype$' | \ %% gawk -f fmtwords.awk >xxx.xwx %% %% by beebe@gamma.math.utah.edu on Wed Nov 29 16:24:12 MST 2023 %%====================================================================== \ifx \NAMECITE \undefined % User can override this definition \def \NAMECITE #1#2{{\bf #1} \cite{#2}} \fi \NAMECITE{$A$}{% Gear:1973:NNE% }. \NAMECITE{$m$}{% Gear:1974:SMR% }. \NAMECITE{$s$}{% Chronopoulos:1987:IPS,% Chronopoulos:1987:ISM,% Chronopoulos:1987:SIM,% Chronopoulos:1989:EIP,% Chronopoulos:1989:SIM% }. \NAMECITE{-dimensional}{% Gear:1974:SMR% }. \NAMECITE{{}-stable}{% Gear:1973:NNE% }. \NAMECITE{-Step}{% Chronopoulos:1987:IPS,% Chronopoulos:1987:ISM,% Chronopoulos:1987:SIM,% Chronopoulos:1989:EIP,% Chronopoulos:1989:SIM% }. \NAMECITE{{1}}{% Gear:1978:PP% }. \NAMECITE{13-15}{% Crane:1987:HAC% }. \NAMECITE{{1975}}{% Gear:1975:PSM% }. \NAMECITE{{1977}}{% Rice:1977:MSI% }. \NAMECITE{{1979}}{% Skeel:1979:SMN% }. \NAMECITE{{1981}}{% Watson:1982:NAP% }. \NAMECITE{{1982}}{% Kaagstrom:1983:MPP% }. \NAMECITE{{1983}}{% Gear:1984:ENS% }. \NAMECITE{{1987}}{% Bellen:1987:NMO,% Crane:1987:HAC% }. \NAMECITE{{2}}{% Gear:1964:OAF% }. \NAMECITE{{407}}{% Gear:1971:AAD,% Nikolai:1973:CAD% }. \NAMECITE{{56}}{% Gear:1965:RIS% }. \NAMECITE{60th}{% Petzold:1997:DCW,% Skeel:1997:DCW% }. \NAMECITE{9th}{% Watson:1982:NAP% }. \NAMECITE{acceleration}{% Liu:2015:ASD% }. \NAMECITE{Accuracy}{% Juang:1989:AIW,% Zagaris:2009:AAC% }. \NAMECITE{accurate}{% Lee:2005:SOA,% Lee:2007:SOA% }. \NAMECITE{ACM}{% Crane:1987:HAC,% Gear:1971:AAD% }. \NAMECITE{Across}{% Gear:1988:MPA,% Xuhai:1990:PPM,% Gear:1993:MPA,% Gear:1993:PAT% }. \NAMECITE{{Adams}}{% Gear:1980:UMD% }. \NAMECITE{address}{% Gear:1964:OAF% }. \NAMECITE{agent}{% Liu:2015:ASD,% Liu:2015:EFM% }. \NAMECITE{agent-based}{% Liu:2015:ASD,% Liu:2015:EFM% }. \NAMECITE{Aided}{% Haug:1984:CAA,% Gear:1969:GCA% }. \NAMECITE{Alchemy}{% Gear:1979:NSS,% Gear:1980:NSS% }. \NAMECITE{Algebraic}{% Gear:1982:OMS,% Gear:1984:OMS,% Gear:1986:DAE,% Gear:1989:DAE,% Keiper:1991:AGB,% Leimkuhler:1987:OCS,% Leimkuhler:1991:AMC,% Gear:1970:SNS,% Gear:1971:SNS,% Gear:1981:DAE,% Gear:1982:DAS,% Gear:1983:DAS,% Gear:1984:DAE,% Gear:1988:DAE,% Gear:1990:DAE,% Gear:2006:TEM% }. \NAMECITE{Algorithm}{% Gear:1971:AAD,% Georgiou:2017:EAS,% Hamlin:1977:RSHa,% Hamlin:1980:RSH,% Nikolai:1973:CAD% }. \NAMECITE{Algorithms}{% Gear:1978:AAC,% Gear:1986:CAAb,% Gear:1989:SSS,% Gustavson:1978:AAB,% Gear:1978:AAS,% Gear:1986:CAAa,% Hamlin:1977:RSHb% }. \NAMECITE{Analysis}{% Artstein:2011:ACD,% Gear:1990:DOM,% Gear:200x:CIB,% Haug:1984:CAA,% Keiper:1991:AGB,% Watson:1982:NAP,% Zagaris:2009:AAC,% Gear:1987:DOM,% Gear:2002:CIB,% Gear:2004:EFC,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM% }. \NAMECITE{and/or}{% Gear:1980:ADT,% Gear:1982:ADT% }. \NAMECITE{Annual}{% Gear:1981:CMS% }. \NAMECITE{Anything}{% Gear:1981:NSO,% Gear:1979:OTA,% Gear:1983:NSO,% Gear:1984:ENS% }. \NAMECITE{Appl}{% Gear:1984:ENS% }. \NAMECITE{Application}{% Setayeshgar:2003:ACI,% Setayeshgar:2005:ACI% }. \NAMECITE{Applications}{% Gear:1978:AAC,% Gear:1978:AAS,% Gear:1981:CMS,% Gear:1986:CAAb,% Gear:1988:LCR,% Gustavson:1978:AAB,% Parslow:1969:CGT,% Gear:1986:CAAa% }. \NAMECITE{Applied}{% Keiper:1991:AGB,% Keiper:1989:GBM% }. \NAMECITE{Approach}{% Gear:2003:CDM,% Gear:2005:CDM% }. \NAMECITE{Approximation}{% Leimkuhler:1991:AMC% }. \NAMECITE{Approximations}{% Gear:1970:RAI% }. \NAMECITE{April}{% Skeel:1979:SMN% }. \NAMECITE{Architectures}{% Chronopoulos:1987:ISM% }. \NAMECITE{Articulated}{% Anonymous:1994:PIW% }. \NAMECITE{assembler}{% Gear:1964:OAF% }. \NAMECITE{assisted}{% Gear:2004:EFC% }. \NAMECITE{Asymptotic}{% Gear:1973:AEE% }. \NAMECITE{Asynchronous}{% Aslam:1989:AIO% }. \NAMECITE{Austin}{% Anonymous:1994:PIW% }. \NAMECITE{Author}{% Gear:1963:AI% }. \NAMECITE{Automated}{% Arden:1980:WCA% }. \NAMECITE{Automatic}{% Gear:1971:AIO,% Gear:1980:ADT,% Gear:1980:AMMa,% Gear:1980:AMMb,% Gear:1982:ADT,% Gear:1982:AMH,% Gear:1985:AIE,% Gear:1969:AIS,% Gear:1974:SAP% }. \NAMECITE{Baby}{% Li:2003:DNC,% Li:2007:DNC% }. \NAMECITE{Baby-Bathwater}{% Li:2003:DNC,% Li:2007:DNC% }. \NAMECITE{Backward}{% Gear:2007:BDF% }. \NAMECITE{Backwards}{% Keiper:1991:AGB% }. \NAMECITE{Bacterial}{% Setayeshgar:2003:ACI,% Setayeshgar:2005:ACI% }. \NAMECITE{based}{% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Liu:2015:ASD,% Liu:2015:EFM% }. \NAMECITE{Basic}{% Anonymous:1998:NRI,% Gear:1978:BLM% }. \NAMECITE{basis}{% Jamshidi:2014:TVR% }. \NAMECITE{Bathwater}{% Li:2003:DNC,% Li:2007:DNC% }. \NAMECITE{{BDF}}{% Gear:1980:UMD,% Keiper:1989:GBM% }. \NAMECITE{Be}{% Arden:1980:WCA,% Gear:1968:GSM% }. \NAMECITE{Between}{% Gear:1990:DOM,% Gear:1977:SCB,% Gear:1987:DOM% }. \NAMECITE{Biennial}{% Watson:1982:NAP% }. \NAMECITE{Bifurcation}{% Gear:200x:CIB,% Gear:2002:CIB,% Liu:2015:EFM% }. \NAMECITE{Bill}{% Gear:2022:CWG,% Haigh:2005:ICW% }. \NAMECITE{birthday}{% Petzold:1997:DCW,% Skeel:1997:DCW% }. \NAMECITE{Block}{% Cash:1983:BRKa,% Cash:1983:BRKb% }. \NAMECITE{Book}{% Cybenko:1993:BRC,% Gear:1980:BRN,% Gear:1985:BRD,% Willoughby:1973:BRN% }. \NAMECITE{Boot}{% Gear:1982:BFS% }. \NAMECITE{Both}{% Bertalan:2017:CGD% }. \NAMECITE{Boundary}{% Gear:1964:SSB,% Gear:2002:BPM,% Gear:2015:MDP,% Gear:1963:SSB,% Rico-Martinez:2004:CPK% }. \NAMECITE{Brown}{% Gear:1965:RIS% }. \NAMECITE{{Burgers}}{% Artstein:2011:ACD,% Gear:2009:IFS% }. \NAMECITE{Business}{% Gustavson:1978:AAB% }. \NAMECITE{C}{% Cybenko:1993:BRC,% Willoughby:1973:BRN% }. \NAMECITE{{C.}}{% Gear:2022:CWG,% Haigh:2005:ICW,% Petzold:1997:DCW,% Skeel:1997:DCW% }. \NAMECITE{Calculation}{% Gear:2008:OCW% }. \NAMECITE{California}{% Gear:1975:PSM,% Freeman:1980:TSR% }. \NAMECITE{Can}{% Arden:1980:WCA% }. \NAMECITE{{Carlo}}{% Gear:2002:BPM% }. \NAMECITE{Case}{% Cash:1983:BRKa,% Cash:1983:BRKb% }. \NAMECITE{Center}{% Rice:1977:MSI% }. \NAMECITE{Certification}{% Nikolai:1973:CAD% }. \NAMECITE{Champaign}{% Skeel:1979:SMN% }. \NAMECITE{{Charles}}{% Anonymous:2022:CG,% Anonymous:2022:CWGa,% Anonymous:2022:CWGb,% Anonymous:2022:CWGc,% Anonymous:2022:CWGd,% Kevrekidis:2022:OCWa,% Kevrekidis:2022:OCWb% }. \NAMECITE{Chemical}{% Gear:1987:CCK% }. \NAMECITE{Chemotaxis}{% Setayeshgar:2003:ACI,% Setayeshgar:2005:ACI% }. \NAMECITE{Choice}{% Gear:2008:OCW% }. \NAMECITE{Class}{% Dsilva:2016:DDR% }. \NAMECITE{Coarse}{% Bertalan:2017:CGD,% Gear:2002:CIB,% Li:2003:DNC,% Li:2007:DNC,% Rico-Martinez:2004:CPK,% Setayeshgar:2003:ACI,% Setayeshgar:2005:ACI,% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Gear:2004:MDC,% Kavousanakis:2007:PCP,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM,% Gear:200x:CIB% }. \NAMECITE{Coarse-Grained}{% Bertalan:2017:CGD,% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM% }. \NAMECITE{Code}{% Gear:2003:CDM,% Gear:2005:CDM,% Gear:1965:FTT,% Gear:1965:HSC% }. \NAMECITE{Codes}{% Gear:2005:PSM,% Gear:1981:ISL,% Gear:1983:ISL% }. \NAMECITE{Cognition}{% Gear:1991:CC,% Cybenko:1993:BRC% }. \NAMECITE{COMPCON}{% Freeman:1980:TSR% }. \NAMECITE{compilation}{% Gear:1964:OAF,% Gear:1965:HSC% }. \NAMECITE{complex}{% Gear:2004:EFC% }. \NAMECITE{components}{% Gear:1984:NSP% }. \NAMECITE{Comput}{% Gear:1984:ENS% }. \NAMECITE{Computation}{% Artstein:2011:ACD,% Crane:1987:HAC,% Gear:1979:NCR,% Gear:1980:NCR,% Gear:1991:CC,% Gear:2003:CDM,% Gear:2005:CDM,% Gear:2004:MDC,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Rice:1979:NCN,% Cybenko:1993:BRC% }. \NAMECITE{Computational}{% Gear:1981:CMS% }. \NAMECITE{computations}{% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Liu:2015:ASD,% Liu:2015:EFM% }. \NAMECITE{Computer}{% Arden:1980:WCA,% Barnes:1988:CSD,% Fosdick:1962:RSS,% Gear:1969:COP,% Gear:1973:ICSc,% Gear:1974:COP,% Gear:1976:ICS,% Gear:1978:AAC,% Gear:1985:COP,% Gear:1986:CAAa,% Gear:1986:CAAb,% Gear:1988:LCR,% Haug:1984:CAA,% Parslow:1969:CGT,% Freeman:1980:TSR,% Gear:1969:GCA,% Gear:1973:ICSa,% Gear:1973:ICSb,% Gear:1973:TMI,% Gear:1977:ICS,% Gear:2004:EFC% }. \NAMECITE{computer-assisted}{% Gear:2004:EFC% }. \NAMECITE{Computing}{% Duff:1985:CSIa,% Duff:1985:CSIb,% Duff:1986:CSI,% Gear:1987:SPS,% Gear:2004:CPF,% Gear:2010:CVS,% Nash:1990:HSC,% Gear:1987:SCP% }. \NAMECITE{Condensed}{% Gear:1987:CCK% }. \NAMECITE{conditioning}{% Calahan:1969:ICP,% Calahan:1970:ICP% }. \NAMECITE{conducted}{% Rice:1977:MSI% }. \NAMECITE{Conference}{% Crane:1987:HAC,% Gear:1987:SCP,% Gear:1987:SPS,% Kaagstrom:1983:MPP,% Watson:1982:NAP,% Freeman:1980:TSR% }. \NAMECITE{Conflicts}{% Gear:1977:SCB% }. \NAMECITE{Conjugate}{% Chronopoulos:1987:IPS,% Chronopoulos:1989:EIP% }. \NAMECITE{Connected}{% Gear:1988:LCR% }. \NAMECITE{Consistent}{% Leimkuhler:1987:OCS,% Leimkuhler:1991:AMC% }. \NAMECITE{constrained}{% Zagaris:2012:SSC% }. \NAMECITE{Constraint}{% Gear:2003:CDM,% Gear:2005:CDM% }. \NAMECITE{Constraint-Defined}{% Gear:2003:CDM,% Gear:2005:CDM% }. \NAMECITE{Constraints}{% Gear:1982:SIO,% Gear:1987:DOC,% Gear:1983:SIO,% Gear:1985:AIE,% Gear:1989:DOC% }. \NAMECITE{continuous}{% Kavousanakis:2007:PCP% }. \NAMECITE{Control}{% Gear:1982:ESC,% Gear:1974:EEC% }. \NAMECITE{Convergence}{% Gear:1974:SCV,% Gear:1973:SCV,% Zagaris:2009:AAC% }. \NAMECITE{Corp}{% Gear:1965:RIS% }. \NAMECITE{{COSERS}}{% Arden:1980:WCA% }. \NAMECITE{D}{% Gear:1965:RIS% }. \NAMECITE{{D2}}{% Gear:1971:AAD% }. \NAMECITE{{DAEs}}{% Campbell:1995:IGN,% Gear:1987:DOC,% Gear:1989:DOC,% Gupta:1985:ILM,% Keiper:1989:GBM% }. \NAMECITE{Data}{% Dsilva:2016:DDR% }. \NAMECITE{Data-Driven}{% Dsilva:2016:DDR% }. \NAMECITE{December}{% Gear:1975:PSM% }. \NAMECITE{Deciding}{% Li:2003:DNC,% Li:2007:DNC% }. \NAMECITE{Dedicated}{% Skeel:1997:DCW% }. \NAMECITE{Dedication}{% Petzold:1997:DCW% }. \NAMECITE{Defined}{% Gear:2003:CDM,% Gear:2005:CDM,% Gear:2015:MDP% }. \NAMECITE{derivatives}{% Gear:1973:AEE,% Gear:1974:EED% }. \NAMECITE{Descriptions}{% Bertalan:2017:CGD% }. \NAMECITE{Detection}{% Gear:2015:MDP,% Gear:1980:ADT,% Gear:1982:ADT% }. \NAMECITE{Development}{% Gear:1990:DOM,% Gear:1987:DOM% }. \NAMECITE{developments}{% Gear:1976:FDS,% Gear:1979:IVP,% Gear:1980:IVP% }. \NAMECITE{{DFASUB}}{% Brown:1973:DDP% }. \NAMECITE{Difference}{% Gear:1980:UMD,% Keiper:1991:AGB% }. \NAMECITE{Differential}{% Aslam:1989:AIO,% Cash:1983:BRKa,% Dill:1971:GSS,% Enright:1989:IMN,% Gear:1964:SSB,% Gear:1965:HMI,% Gear:1967:NIO,% Gear:1971:AAD,% Gear:1971:AIO,% Gear:1971:NIV,% Gear:1978:SNM,% Gear:1980:AMMa,% Gear:1980:AMMb,% Gear:1980:BRN,% Gear:1981:DAE,% Gear:1981:NSO,% Gear:1982:DAS,% Gear:1982:OMS,% Gear:1982:SIO,% Gear:1983:DAS,% Gear:1984:DAE,% Gear:1984:OMS,% Gear:1984:SOD,% Gear:1986:DAE,% Gear:1986:PPO,% Gear:1987:PMO,% Gear:1988:DAE,% Gear:1989:DAE,% Gear:1990:DAE,% Gear:2002:PMS,% Gear:2003:PMS,% Hindmarsh:1974:GOD,% Keiper:1991:AGB,% Leimkuhler:1987:OCS,% Leimkuhler:1991:AMC,% Nikolai:1973:CAD,% Shampine:1976:UVS,% Shampine:1979:UVS,% Skeel:1979:SMN,% Willoughby:1973:BRN,% Bellen:1987:NMO,% Brown:1973:DDP,% Cash:1983:BRKb,% Gear:1963:SSB,% Gear:1964:HMI,% Gear:1966:NIOa,% Gear:1966:NIOb,% Gear:1966:NSO,% Gear:1967:NIS,% Gear:1969:AIS,% Gear:1970:SNS,% Gear:1971:SNS,% Gear:1973:AEE,% Gear:1974:EED,% Gear:1975:PSM,% Gear:1976:SNM,% Gear:1977:ODE,% Gear:1978:SVS,% Gear:1980:ADT,% Gear:1981:SOD,% Gear:1982:ADT,% Gear:1982:AMH,% Gear:1983:NSO,% Gear:1983:SIO,% Gear:1984:ENS,% Gear:1988:PMO,% Gear:2003:TPM,% Gear:2006:TEM% }. \NAMECITE{Differential-Algebraic}{% Gear:1986:DAE,% Leimkuhler:1987:OCS,% Leimkuhler:1991:AMC,% Gear:1988:DAE% }. \NAMECITE{Differential/Algebraic}{% Gear:1982:OMS,% Gear:1984:OMS,% Gear:1982:DAS,% Gear:1983:DAS% }. \NAMECITE{differentiation}{% Gear:2007:BDF% }. \NAMECITE{Diffusion}{% Artstein:2011:ACD% }. \NAMECITE{{DIFSUB}}{% Gear:1971:AAD,% Nikolai:1973:CAD% }. \NAMECITE{Dimensional}{% Gear:1964:SSB,% Gear:2003:CDM,% Gear:2005:CDM,% Gear:1963:SSB,% Gear:1974:SMR% }. \NAMECITE{directions}{% Rice:1979:NCN% }. \NAMECITE{Directly}{% Suleiman:1987:TSS,% Suleiman:1989:TSS% }. \NAMECITE{discipline}{% Barnes:1988:CSD% }. \NAMECITE{Discontinuities}{% Gear:1982:ESC,% Gear:1984:SOD,% Gear:1981:SOD% }. \NAMECITE{Discrete}{% Artstein:2011:ACD% }. \NAMECITE{{{{Discretization}}}}{% Gear:1985:BRD% }. \NAMECITE{diseases}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{Dispersion}{% Artstein:2011:ACD% }. \NAMECITE{distributed}{% Liu:2015:ASD% }. \NAMECITE{Distributions}{% Gear:2001:PIM% }. \NAMECITE{Divided}{% Gear:1980:UMD% }. \NAMECITE{Do}{% Gear:1981:NSO,% Gear:1974:WDW,% Gear:1976:FDS,% Gear:1979:OTA,% Gear:1982:SSW,% Gear:1983:NSO,% Gear:1984:ENS% }. \NAMECITE{Documentation}{% Brown:1973:DDP% }. \NAMECITE{Does}{% Skeel:1992:DVS% }. \NAMECITE{Doody}{% Gear:1965:RIS% }. \NAMECITE{Driven}{% Dsilva:2016:DDR,% Georgiou:2017:EAS% }. \NAMECITE{Dundee}{% Watson:1982:NAP% }. \NAMECITE{Dynamical}{% Dsilva:2016:DDR% }. \NAMECITE{Dynamics}{% Bertalan:2017:CGD,% Gear:2004:MDC,% Haug:1984:CAA,% Liu:2015:ASD% }. \NAMECITE{Eckart}{% Gear:1985:BRD% }. \NAMECITE{ed}{% Cybenko:1993:BRC% }. \NAMECITE{edition}{% Gear:1973:ICSb% }. \NAMECITE{{Editor}}{% Gear:1979:EN% }. \NAMECITE{Editorial}{% Gear:1987:E% }. \NAMECITE{editors}{% Gear:1987:NEb,% Gear:1987:NEa% }. \NAMECITE{Effect}{% Gear:1974:EVM,% Gear:1973:EVM% }. \NAMECITE{Efficient}{% Gear:1982:ESC,% Chronopoulos:1989:EIP,% Gear:1965:HSC% }. \NAMECITE{Eigenvalue}{% Gear:1969:SST,% Gear:2003:PMS,% Gear:2002:PMS% }. \NAMECITE{Elimination}{% Duff:1988:SSG% }. \NAMECITE{Emphasis}{% Gear:1985:COP% }. \NAMECITE{enabling}{% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{Energy}{% Georgiou:2017:EAS% }. \NAMECITE{Engineering}{% Arden:1980:WCA,% Gear:1978:AAS,% Gear:1965:RIS% }. \NAMECITE{Equation}{% Artstein:2011:ACD,% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Gear:1980:AMMb,% Gear:1986:DAE,% Gear:2004:EFC,% Hindmarsh:1974:GOD,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Li:2003:DNC,% Li:2007:DNC,% Liu:2015:EFM,% Gear:1977:ODE,% Gear:1988:DAE,% Gear:2004:MDC,% Zagaris:2009:AAC,% Zagaris:2012:SSC% }. \NAMECITE{Equation-free}{% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Gear:2004:EFC,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM,% Gear:2004:MDC,% Zagaris:2009:AAC,% Zagaris:2012:SSC% }. \NAMECITE{Equations}{% Aslam:1989:AIO,% Cash:1983:BRKa,% Dill:1971:GSS,% Gear:1964:SSB,% Gear:1965:HMI,% Gear:1967:NIO,% Gear:1971:AAD,% Gear:1971:AIO,% Gear:1971:NIV,% Gear:1978:SNM,% Gear:1980:AMMa,% Gear:1981:NSO,% Gear:1982:SIO,% Gear:1984:SOD,% Gear:1986:PPO,% Gear:1987:CCK,% Gear:1987:PMO,% Gear:1989:DAE,% Gear:2002:PMS,% Gear:2003:PMS,% Gear:2009:IFS,% Keiper:1991:AGB,% Leimkuhler:1987:OCS,% Leimkuhler:1991:AMC,% Nikolai:1973:CAD,% Shampine:1976:UVS,% Shampine:1979:UVS,% Skeel:1979:SMN,% Bellen:1987:NMO,% Brown:1973:DDP,% Cash:1983:BRKb,% Gear:1963:SSB,% Gear:1964:HMI,% Gear:1966:NIOa,% Gear:1966:NIOb,% Gear:1966:NSO,% Gear:1967:NIS,% Gear:1969:AIS,% Gear:1970:SNS,% Gear:1971:SNS,% Gear:1973:AEE,% Gear:1974:EED,% Gear:1975:NES,% Gear:1975:PSM,% Gear:1976:SNM,% Gear:1977:ODE,% Gear:1978:SVS,% Gear:1980:ADT,% Gear:1981:DAE,% Gear:1981:ISL,% Gear:1981:SOD,% Gear:1982:ADT,% Gear:1982:AMH,% Gear:1983:ISL,% Gear:1983:NSO,% Gear:1983:SIO,% Gear:1984:DAE,% Gear:1984:ENS,% Gear:1985:AIE,% Gear:1988:PMO,% Gear:1990:DAE,% Gear:2003:TPM,% Gear:2006:TEM,% Enright:1989:IMN,% Gear:1980:BRN,% Willoughby:1973:BRN% }. \NAMECITE{Erratum}{% Gear:1984:ENS% }. \NAMECITE{Error}{% Gear:1974:EEC,% Lee:2006:FLE% }. \NAMECITE{errors}{% Gear:1973:AEE,% Gear:1974:EED,% Gear:1975:NES% }. \NAMECITE{Estimation}{% Gear:1974:EED,% Lee:2006:FLE,% Gear:1973:AEE,% Gear:1974:EEC% }. \NAMECITE{{Euler}}{% Gear:1985:AIE% }. \NAMECITE{event}{% Liu:2015:EFM% }. \NAMECITE{evolving}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{exact}{% Gear:1976:FDS% }. \NAMECITE{example}{% Gear:2004:MDC% }. \NAMECITE{existence}{% Gear:1973:NNE% }. \NAMECITE{experience}{% Gear:1966:TSI% }. \NAMECITE{Explicit}{% Gear:1987:ESS,% Gear:2006:TEM% }. \NAMECITE{Exploration}{% Georgiou:2017:EAS% }. \NAMECITE{Fagg}{% Gear:1965:RIS% }. \NAMECITE{Fairclough}{% Gear:1965:RIS% }. \NAMECITE{Fast}{% Artstein:2011:ACD,% Dsilva:2016:DDR,% Gear:1965:FTT,% Gear:2009:IFS,% Gear:2010:CVS% }. \NAMECITE{Feature}{% Gear:1994:FGM% }. \NAMECITE{February}{% Freeman:1980:TSR% }. \NAMECITE{Field}{% Gear:1975:PSM,% Gear:1964:OAF% }. \NAMECITE{Finding}{% Gear:2002:FSS,% Gear:1982:BFS,% Gear:1982:RFS% }. \NAMECITE{{First}}{% Gear:1991:CC% }. \NAMECITE{Fitted}{% Gear:1988:IFS% }. \NAMECITE{FJCC}{% Gear:1965:RIS% }. \NAMECITE{Flow}{% Gear:1960:SSI% }. \NAMECITE{Fly}{% Lee:2006:FLE% }. \NAMECITE{Form}{% Keiper:1991:AGB,% Keiper:1989:GBM% }. \NAMECITE{Formula}{% Keiper:1991:AGB% }. \NAMECITE{Formulas}{% Gear:1980:UMD,% Gear:1986:RTI,% Gupta:1985:ILM,% Gear:1989:RTI,% Gear:2007:BDF% }. \NAMECITE{{FORTRAN}}{% Gear:1978:FWL% }. \NAMECITE{forward}{% Gear:2004:CPF,% Rico-Martinez:2004:CPK% }. \NAMECITE{forward/reverse}{% Rico-Martinez:2004:CPK% }. \NAMECITE{Francisco}{% Freeman:1980:TSR% }. \NAMECITE{free}{% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Gear:2004:EFC,% Gear:2004:MDC,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM,% Zagaris:2009:AAC,% Zagaris:2012:SSC% }. \NAMECITE{frequency}{% Gear:1984:NSP% }. \NAMECITE{Fried}{% Gear:1980:BRN% }. \NAMECITE{functions}{% Jamshidi:2014:TVR% }. \NAMECITE{Future}{% Gear:1976:FDS,% Gear:1979:NCR,% Gear:1980:NCR,% Rice:1974:MSP% }. \NAMECITE{{Galerkin}}{% Gear:2002:CIB,% Gear:200x:CIB% }. \NAMECITE{Gap}{% Gear:2002:BPM,% Gear:2003:GTM% }. \NAMECITE{Gap-Tooth}{% Gear:2002:BPM,% Gear:2003:GTM% }. \NAMECITE{Gaps}{% Gear:2003:PMS,% Gear:2002:PMS% }. \NAMECITE{{Gauss}}{% Juang:1989:AIW% }. \NAMECITE{{Gaussian}}{% Duff:1988:SSG% }. \NAMECITE{Gear}{% Cybenko:1993:BRC,% Willoughby:1973:BRN,% Hindmarsh:1974:GOD,% Anonymous:2022:CG,% Anonymous:2022:CWGa,% Anonymous:2022:CWGb,% Anonymous:2022:CWGc,% Anonymous:2022:CWGd,% Haigh:2005:ICW,% Kevrekidis:2022:OCWa,% Kevrekidis:2022:OCWb,% Petzold:1997:DCW,% Skeel:1997:DCW% }. \NAMECITE{Gekeler}{% Gear:1985:BRD% }. \NAMECITE{general}{% Campbell:1995:IGN% }. \NAMECITE{Generalized}{% Gear:1968:GSM,% Keiper:1989:GBM,% Keiper:1991:AGB% }. \NAMECITE{Gradient}{% Chronopoulos:1987:IPS,% Chronopoulos:1989:EIP% }. \NAMECITE{Gradients}{% Georgiou:2017:EAS% }. \NAMECITE{Grained}{% Bertalan:2017:CGD,% Cisternas:2003:EFM,% Cisternas:2004:EFM,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Liu:2015:EFM% }. \NAMECITE{graphic}{% Gear:1969:IGM% }. \NAMECITE{Graphical}{% Dill:1971:GSS,% Gear:1969:GCA% }. \NAMECITE{Graphics}{% Parslow:1969:CGT,% Freeman:1980:TSR% }. \NAMECITE{greater}{% Gear:1973:NNE% }. \NAMECITE{Greene}{% Gear:1965:RIS% }. \NAMECITE{Grouping}{% Gear:1994:FGM,% Gear:1998:MGM% }. \NAMECITE{Guide}{% Gear:1978:IG,% Gear:1973:ICSa% }. \NAMECITE{Hardware}{% Gear:1990:DOM,% Gear:1987:DOM% }. \NAMECITE{Havsbad}{% Kaagstrom:1983:MPP% }. \NAMECITE{Held}{% Kaagstrom:1983:MPP,% Bellen:1987:NMO,% Watson:1982:NAP% }. \NAMECITE{{Hessenberg}}{% Keiper:1989:GBM,% Keiper:1991:AGB% }. \NAMECITE{Heterogeneities}{% Bertalan:2017:CGD% }. \NAMECITE{hidden}{% Hamlin:1977:RSHa,% Hamlin:1977:RSHb,% Hamlin:1980:RSH% }. \NAMECITE{Hierarchy}{% Chronopoulos:1987:IPS,% Chronopoulos:1989:EIP% }. \NAMECITE{High}{% Gear:1965:HSC,% Gear:1984:NSP% }. \NAMECITE{highly}{% Gear:1982:AMH% }. \NAMECITE{Hipp}{% Gear:1965:RIS% }. \NAMECITE{History}{% Crane:1987:HAC,% Nash:1990:HSC% }. \NAMECITE{Homogeneous}{% Gear:1964:SSB,% Gear:1963:SSB% }. \NAMECITE{Hotel}{% Freeman:1980:TSR% }. \NAMECITE{{HSNC'87}}{% Crane:1987:HAC% }. \NAMECITE{Hybrid}{% Gear:1964:HMI,% Gear:1965:HMI% }. \NAMECITE{IBM}{% Gear:1965:RIS,% Gear:1965:RIS% }. \NAMECITE{IEEE}{% Anonymous:1994:PIW,% Freeman:1980:TSR% }. \NAMECITE{{II}}{% Cash:1983:BRKb,% Gear:1966:NIOb% }. \NAMECITE{III}{% Rice:1977:MSI% }. \NAMECITE{ill}{% Calahan:1969:ICP,% Calahan:1970:ICP% }. \NAMECITE{ill-conditioning}{% Calahan:1969:ICP,% Calahan:1970:ICP% }. \NAMECITE{{ILLIAC}}{% Gear:1964:OAF,% Gear:1966:NIOb% }. \NAMECITE{{Illinois}}{% Gear:1966:TSI,% Skeel:1979:SMN% }. \NAMECITE{Images}{% Gear:1998:MGM% }. \NAMECITE{Implementation}{% Chronopoulos:1987:IPS,% Chronopoulos:1987:ISM,% Gear:1980:UMD,% Gear:1988:IFS,% Chronopoulos:1989:EIP% }. \NAMECITE{Implementing}{% Gupta:1985:ILM% }. \NAMECITE{Implicit}{% Gear:1970:RAI,% Gear:1982:SIO,% Brown:1973:DDP,% Calahan:1969:ICP,% Calahan:1970:ICP,% Gear:1983:SIO% }. \NAMECITE{Increase}{% Juang:1989:AIW% }. \NAMECITE{Index}{% Gear:1963:AI,% Gear:1986:DAE,% Campbell:1995:IGN,% Duff:1985:CSIa,% Duff:1985:CSIb,% Duff:1986:CSI,% Gear:1988:DAE% }. \NAMECITE{Indices}{% Gear:1989:DAE,% Gear:1990:DAE% }. \NAMECITE{individual}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{individual-based}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{Industrial}{% Anonymous:1998:NRI% }. \NAMECITE{Initial}{% Cash:1983:BRKa,% Gear:1965:HMI,% Gear:1971:NIV,% Gear:1979:IVP,% Gear:1980:IVP,% Gear:1980:MIS,% Gear:1985:BRD,% Leimkuhler:1987:OCS,% Willoughby:1973:BRN,% Cash:1983:BRKb,% Gear:1964:HMI,% Rico-Martinez:2004:CPK% }. \NAMECITE{Initialization}{% Leimkuhler:1991:AMC% }. \NAMECITE{initially}{% Freeman:1980:TSR% }. \NAMECITE{Inn}{% Skeel:1979:SMN% }. \NAMECITE{Inputs}{% Gear:1986:RTI,% Gear:1989:RTI% }. \NAMECITE{{Institute}}{% Anonymous:1998:NRI% }. \NAMECITE{Instructor}{% Gear:1973:ICSa,% Gear:1978:IG% }. \NAMECITE{Integral}{% Gear:1989:DAE,% Gear:1990:DAE% }. \NAMECITE{Integration}{% Aslam:1989:AIO,% Cash:1983:BRKa,% Gear:1967:NIO,% Gear:1971:AIO,% Gear:1986:RTI,% Gear:2001:PIM,% Gear:200x:CIB,% Setayeshgar:2003:ACI,% Setayeshgar:2005:ACI,% Calahan:1969:ICP,% Calahan:1970:ICP,% Cash:1983:BRKb,% Gear:1966:NIOa,% Gear:1966:NIOb,% Gear:1967:NIS,% Gear:1969:AIS,% Gear:1974:EEC,% Gear:1976:FDS,% Gear:1985:AIE,% Gear:1989:RTI,% Gear:2002:CIB,% Gear:2004:CPF,% Kavousanakis:2007:PCP,% Rico-Martinez:2004:CPK% }. \NAMECITE{Integration/Bifurcation}{% Gear:200x:CIB,% Gear:2002:CIB% }. \NAMECITE{integrator}{% Skeel:1992:DVS% }. \NAMECITE{Integrators}{% Gear:1988:IFS,% Lee:2006:FLE,% Lee:2005:SOA,% Lee:2007:SOA% }. \NAMECITE{interactive}{% Freeman:1980:TSR,% Gear:1969:IGM% }. \NAMECITE{interface}{% Gear:1968:GSM% }. \NAMECITE{international}{% Freeman:1980:TSR,% Enright:1989:IMN% }. \NAMECITE{Intersections}{% Gear:1960:SSI,% Gear:1964:SSB,% Gear:1963:SSB% }. \NAMECITE{interview}{% Haigh:2005:ICW% }. \NAMECITE{Intrinsic}{% Bertalan:2017:CGD% }. \NAMECITE{Introduction}{% Gear:1973:ICSa,% Gear:1973:ICSb,% Gear:1973:ICSc,% Gear:1973:TMI,% Gear:1976:ICS,% Gear:1977:ICS% }. \NAMECITE{Invariants}{% Gear:1987:DOC,% Gear:1992:INM,% Gear:2009:IFS,% Gear:1984:MSI,% Gear:1986:MSI,% Gear:1989:DOC% }. \NAMECITE{inverses}{% Duff:1985:SRIa,% Duff:1985:SRIb% }. \NAMECITE{Isaac}{% Gear:1980:BRN% }. \NAMECITE{Italy}{% Bellen:1987:NMO% }. \NAMECITE{Iterative}{% Chronopoulos:1987:SIM,% Gear:1981:ISL,% Gear:1983:ISL,% Chronopoulos:1989:SIM% }. \NAMECITE{J}{% Gear:1965:RIS% }. \NAMECITE{Jack}{% Freeman:1980:TSR% }. \NAMECITE{{Jacobian}}{% Gear:1976:FDS% }. \NAMECITE{Jersey}{% Crane:1987:HAC% }. \NAMECITE{Journal}{% Gear:1991:ISM% }. \NAMECITE{June}{% Watson:1982:NAP% }. \NAMECITE{{KdV}}{% Artstein:2011:ACD,% Gear:2009:IFS% }. \NAMECITE{Kinetic}{% Gear:1987:CCK% }. \NAMECITE{{kMC}}{% Rico-Martinez:2004:CPK% }. \NAMECITE{{Kutta}}{% Cash:1983:BRKa,% Cash:1983:BRKb,% Gear:1970:RAI,% Gear:1978:RKS,% Gear:1980:RKS% }. \NAMECITE{L}{% Gear:1965:RIS% }. \NAMECITE{Lab}{% Anonymous:1998:NRI% }. \NAMECITE{{Lagrange}}{% Gear:1985:AIE% }. \NAMECITE{L'Aguila}{% Bellen:1987:NMO% }. \NAMECITE{language}{% Gear:1978:BLM,% Gear:1978:FWL% }. \NAMECITE{languages}{% Gear:1974:WDW% }. \NAMECITE{learning}{% Holiday:2019:MLP% }. \NAMECITE{Left}{% Gear:1981:NSO,% Gear:1979:OTA,% Gear:1983:NSO,% Gear:1984:ENS% }. \NAMECITE{Legacy}{% Gear:2003:CDM,% Gear:2005:CDM,% Gear:2005:PSM% }. \NAMECITE{level}{% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{Linear}{% Chronopoulos:1987:SIM,% Gear:1964:SSB,% Gear:2015:PNL,% Gupta:1985:ILM,% Chronopoulos:1989:SIM,% Gear:1963:SSB,% Gear:1975:NES,% Gear:1981:ISL,% Gear:1983:ISL,% Gear:1984:MLM,% Gear:2012:PNL% }. \NAMECITE{Local}{% Lee:2006:FLE% }. \NAMECITE{Logarithmically}{% Gear:1988:LCR% }. \NAMECITE{Low}{% Gear:2003:CDM,% Gear:2005:CDM% }. \NAMECITE{Low-Dimensional}{% Gear:2003:CDM,% Gear:2005:CDM% }. \NAMECITE{Madison}{% Rice:1977:MSI% }. \NAMECITE{Maintaining}{% Gear:1984:MSI,% Gear:1986:MSI% }. \NAMECITE{Manifold}{% Gear:2005:PSM,% Holiday:2019:MLP,% Zagaris:2009:AAC,% Zagaris:2012:SSC% }. \NAMECITE{Manifolds}{% Gear:2003:CDM,% Gear:2005:CDM,% Gear:2015:MDP,% Gear:2015:PNL,% Gear:2010:CVS,% Gear:2012:PNL% }. \NAMECITE{manual}{% Gear:1978:BLM,% Gear:1978:FWL% }. \NAMECITE{March}{% Kaagstrom:1983:MPP,% Rice:1977:MSI% }. \NAMECITE{Massive}{% Gear:1988:MPA,% Gear:1993:MPA% }. \NAMECITE{masters}{% Gear:1973:TMI% }. \NAMECITE{Math}{% Gear:1984:ENS% }. \NAMECITE{Mathematical}{% Rice:1974:MSP,% Gear:1974:WDW,% Rice:1977:MSI% }. \NAMECITE{Mathematics}{% Rice:1977:MSI% }. \NAMECITE{Matrices}{% Gear:1969:SST,% Duff:1985:SRIa,% Duff:1985:SRIb% }. \NAMECITE{Matrix}{% Gear:1989:SSS,% Gear:1974:SMR,% Gear:1982:DAS,% Gear:1983:DAS,% Kaagstrom:1983:MPP% }. \NAMECITE{May}{% Crane:1987:HAC,% Gear:1984:NSP% }. \NAMECITE{Mechanical}{% Haug:1984:CAA% }. \NAMECITE{Meeting}{% Enright:1989:IMN,% Skeel:1979:SMN,% Gear:1975:PSM% }. \NAMECITE{Memory}{% Chronopoulos:1987:IPS,% Chronopoulos:1989:EIP% }. \NAMECITE{Mesh}{% Gear:1974:EVM,% Gear:1973:EVM% }. \NAMECITE{Method}{% Gear:1980:MIS,% Gear:1988:MPA,% Gear:2003:GTM% }. \NAMECITE{Methods}{% Cash:1983:BRKa,% Chronopoulos:1987:IPS,% Chronopoulos:1987:ISM,% Chronopoulos:1987:SIM,% Dill:1971:GSS,% Gear:1965:HMI,% Gear:1974:EVM,% Gear:1974:SCV,% Gear:1978:SNM,% Gear:1980:AMMa,% Gear:1980:AMMb,% Gear:1980:RKS,% Gear:1981:CMS,% Gear:1982:OMS,% Gear:1984:OMS,% Gear:1985:BRD,% Gear:1987:PMO,% Gear:1990:DOM,% Gear:2001:PIM,% Gear:2002:PMS,% Gear:2003:PMS,% Keiper:1991:AGB,% Leimkuhler:1991:AMC,% Xuhai:1990:PPM,% Bellen:1987:NMO,% Cash:1983:BRKb,% Chronopoulos:1989:EIP,% Chronopoulos:1989:SIM,% Gear:1964:HMI,% Gear:1973:EVM,% Gear:1973:NNE,% Gear:1973:SCV,% Gear:1976:FDS,% Gear:1976:SNM,% Gear:1978:RKS,% Gear:1978:SVS,% Gear:1982:AMH,% Gear:1984:MLM,% Gear:1987:DOM,% Gear:1988:PMO,% Gear:1990:WMS,% Gear:1991:SWM,% Gear:1991:WMS,% Gear:1992:INM,% Gear:2002:CIB,% Gear:2003:TPM,% Gear:2006:TEM,% Gear:200x:CIB,% Keiper:1989:GBM% }. \NAMECITE{micro}{% Gear:2002:CIB,% Gear:200x:CIB% }. \NAMECITE{micro-{Galerkin}}{% Gear:2002:CIB,% Gear:200x:CIB% }. \NAMECITE{Microscopic}{% Gear:200x:CIB,% Li:2003:DNC,% Li:2007:DNC,% Gear:2002:CIB,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{Mission}{% Anonymous:1998:NRI% }. \NAMECITE{model}{% Liu:2015:EFM% }. \NAMECITE{modeling}{% Gear:1968:GSM,% Gear:1969:IGM,% Gear:1970:SMS% }. \NAMECITE{modelling}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{models}{% Cisternas:2003:EFM,% Cisternas:2004:EFM% }. \NAMECITE{Modified}{% Gear:1980:UMD% }. \NAMECITE{Moffitt}{% Gear:1975:PSM% }. \NAMECITE{Molecular}{% Gear:2004:MDC% }. \NAMECITE{{Monte}}{% Gear:2002:BPM% }. \NAMECITE{Motion}{% Anonymous:1994:PIW,% Gear:1998:MGM% }. \NAMECITE{Moving}{% Gear:1994:FGM% }. \NAMECITE{Multibody}{% Gear:1998:MGM% }. \NAMECITE{Multiprocessor}{% Chronopoulos:1987:IPS% }. \NAMECITE{Multiprocessors}{% Aslam:1989:AIO,% Chronopoulos:1989:EIP% }. \NAMECITE{Multirate}{% Gear:1980:AMMa,% Gear:1980:AMMb,% Gear:1984:MLM% }. \NAMECITE{Multiscale}{% Dsilva:2016:DDR,% Gear:2004:EFC,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC,% Lee:2005:SOA,% Lee:2007:SOA% }. \NAMECITE{Multistep}{% Gear:1974:EVM,% Gear:1974:SCV,% Gear:1980:MIS,% Gear:1980:RKS,% Gupta:1985:ILM,% Gear:1973:EVM,% Gear:1973:SCV,% Gear:1978:RKS,% Gear:1984:MLM% }. \NAMECITE{multivalue}{% Gear:1973:NNE% }. \NAMECITE{Mysterious}{% Gear:1991:ISM% }. \NAMECITE{Nature}{% Li:2003:DNC,% Li:2007:DNC,% Rice:1979:NCN% }. \NAMECITE{NEC}{% Gear:1991:CC,% Anonymous:1998:NRI% }. \NAMECITE{need}{% Gear:1974:WDW,% Gear:1982:SSW% }. \NAMECITE{Networks}{% Bertalan:2017:CGD,% Gear:1988:LCR% }. \NAMECITE{no}{% Gear:1984:ENS% }. \NAMECITE{Noisy}{% Gear:2002:FSS% }. \NAMECITE{Non}{% Anonymous:1994:PIW,% Gear:2015:PNL,% Gear:1973:NNE,% Gear:2012:PNL% }. \NAMECITE{non-existence}{% Gear:1973:NNE% }. \NAMECITE{Non-Linear}{% Gear:2015:PNL,% Gear:2012:PNL% }. \NAMECITE{Non-Rigid}{% Anonymous:1994:PIW% }. \NAMECITE{nonlinear}{% Brown:1973:DDP,% Campbell:1995:IGN% }. \NAMECITE{Nonstiff}{% Cash:1983:BRKa% }. \NAMECITE{Norfolk}{% Gear:1987:SPS% }. \NAMECITE{Note}{% Gear:1979:EN,% Gear:1987:NEa,% Gear:1973:NNE,% Gear:1987:NEb% }. \NAMECITE{November}{% Anonymous:1994:PIW,% Gear:1987:SPS% }. \NAMECITE{Numeric}{% Crane:1987:HAC% }. \NAMECITE{Numerical}{% Cash:1983:BRKa,% Enright:1989:IMN,% Gear:1966:NIOb,% Gear:1966:NSO,% Gear:1967:NIO,% Gear:1967:NIS,% Gear:1971:NIV,% Gear:1975:NES,% Gear:1978:SNM,% Gear:1979:NCR,% Gear:1979:NSS,% Gear:1980:NCR,% Gear:1980:NSS,% Gear:1981:NSO,% Gear:1983:NSO,% Gear:1984:ENS,% Gear:1988:LCR,% Gear:1990:DOM,% Rice:1979:NCN,% Skeel:1979:SMN,% Cash:1983:BRKb,% Gear:1966:NIOa,% Gear:1970:SNS,% Gear:1971:SNS,% Gear:1973:AEE,% Gear:1974:SAP,% Gear:1976:SNM,% Gear:1984:MSI,% Gear:1984:NSP,% Gear:1986:MSI,% Gear:1987:DOM,% Gear:1992:INM,% Bellen:1987:NMO,% Watson:1982:NAP,% Gear:1980:BRN,% Willoughby:1973:BRN% }. \NAMECITE{{O.D.E.}}{% Gear:1974:EEC% }. \NAMECITE{Obituary}{% Anonymous:2022:CWGd,% Kevrekidis:2022:OCWa,% Kevrekidis:2022:OCWb% }. \NAMECITE{object}{% Gear:1965:FTT,% Gear:1965:HSC% }. \NAMECITE{Objects}{% Anonymous:1994:PIW,% Gear:1994:FGM% }. \NAMECITE{Obtaining}{% Leimkuhler:1987:OCS% }. \NAMECITE{occasion}{% Petzold:1997:DCW,% Skeel:1997:DCW% }. \NAMECITE{{ODE}}{% Gear:1980:MIS,% Gear:1981:ISL,% Gear:1982:BFS,% Gear:1982:OMS,% Gear:1982:RFS,% Gear:1983:ISL,% Gear:1984:OMS,% Gear:1987:DOM,% Gear:1988:IFS,% Gear:1990:DOM,% Suleiman:1987:TSS,% Suleiman:1989:TSS% }. \NAMECITE{{ODEs}}{% Gear:1979:OTA,% Gear:1981:CMS,% Gear:1984:MSI,% Gear:1986:MSI,% Gear:1987:DOC,% Gear:1987:ESS,% Gear:1988:MPA,% Gear:1989:DOC,% Gear:1991:SWM,% Gear:1992:INM,% Gear:1993:MPA,% Gear:1993:PAT,% Xuhai:1990:PPM% }. \NAMECITE{Off}{% Gear:1986:RTI,% Gear:1989:RTI% }. \NAMECITE{Off-Step}{% Gear:1986:RTI,% Gear:1989:RTI% }. \NAMECITE{On-the-Fly}{% Lee:2006:FLE% }. \NAMECITE{operating}{% Gear:1966:NIOb% }. \NAMECITE{Optimization}{% Gear:1964:OAF,% Haug:1984:CAA% }. \NAMECITE{optimizes}{% Gear:1965:FTT% }. \NAMECITE{Optimum}{% Gear:2008:OCW% }. \NAMECITE{Order}{% Gear:1974:SCV,% Gear:1978:SNM,% Gear:1988:IFS,% Suleiman:1987:TSS,% Gear:1973:NNE,% Gear:1973:SCV,% Gear:1976:SNM,% Lee:2005:SOA,% Lee:2007:SOA,% Suleiman:1989:TSS% }. \NAMECITE{orders}{% Gear:1966:NIOa% }. \NAMECITE{Ordinary}{% Aslam:1989:AIO,% Cash:1983:BRKa,% Dill:1971:GSS,% Enright:1989:IMN,% Gear:1965:HMI,% Gear:1967:NIO,% Gear:1971:AAD,% Gear:1971:AIO,% Gear:1971:NIV,% Gear:1977:ODE,% Gear:1978:SNM,% Gear:1980:AMMa,% Gear:1980:AMMb,% Gear:1981:NSO,% Gear:1982:SIO,% Gear:1984:SOD,% Gear:1986:PPO,% Gear:1987:PMO,% Hindmarsh:1974:GOD,% Nikolai:1973:CAD,% Shampine:1976:UVS,% Shampine:1979:UVS,% Skeel:1979:SMN,% Willoughby:1973:BRN,% Bellen:1987:NMO,% Cash:1983:BRKb,% Gear:1964:HMI,% Gear:1966:NIOa,% Gear:1966:NIOb,% Gear:1966:NSO,% Gear:1967:NIS,% Gear:1969:AIS,% Gear:1973:AEE,% Gear:1974:EED,% Gear:1976:SNM,% Gear:1978:SVS,% Gear:1980:ADT,% Gear:1981:SOD,% Gear:1982:ADT,% Gear:1982:AMH,% Gear:1983:NSO,% Gear:1983:SIO,% Gear:1984:ENS,% Gear:1988:PMO% }. \NAMECITE{Organization}{% Gear:1969:COP,% Gear:1974:COP,% Gear:1985:COP% }. \NAMECITE{oscillatory}{% Gear:1980:ADT,% Gear:1982:ADT,% Gear:1982:AMH% }. \NAMECITE{Output}{% Gear:1982:ESC% }. \NAMECITE{P}{% Gear:1965:RIS% }. \NAMECITE{panel}{% Rice:1974:MSP% }. \NAMECITE{Papers}{% Gear:1987:SPS,% Crane:1987:HAC% }. \NAMECITE{parabolic}{% Gear:2003:TPM% }. \NAMECITE{Parallel}{% Chronopoulos:1987:ISM,% Gear:1987:ESS,% Gear:1987:PMO,% Gear:1987:SCP,% Gear:1987:SPS,% Gear:1988:PMO% }. \NAMECITE{Parallelism}{% Gear:1986:PPO,% Gear:1988:MPA,% Gear:1993:PAT,% Xuhai:1990:PPM,% Gear:1990:WMS,% Gear:1991:WMS,% Gear:1993:MPA% }. \NAMECITE{parameter}{% Holiday:2019:MLP% }. \NAMECITE{Parameterization}{% Gear:2012:PNL,% Gear:2015:PNL% }. \NAMECITE{Parameterizing}{% Gear:2015:MDP% }. \NAMECITE{{Part}}{% Cash:1983:BRKa% }. \NAMECITE{Partial}{% Gear:1964:SSB,% Gear:1963:SSB,% Gear:1975:PSM,% Gear:1977:ODE% }. \NAMECITE{partially}{% Gear:1965:FTT% }. \NAMECITE{particle}{% Gear:2003:GTM% }. \NAMECITE{{Pascal}}{% Gear:1983:PP% }. \NAMECITE{Past}{% Gear:1979:NCR,% Gear:1980:NCR,% Gear:2004:CPF% }. \NAMECITE{patch}{% Liu:2015:ASD% }. \NAMECITE{patterns}{% Rice:1974:MSP% }. \NAMECITE{Pencils}{% Kaagstrom:1983:MPP,% Gear:1982:DAS,% Gear:1983:DAS% }. \NAMECITE{perform}{% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{Performance}{% Xuhai:1990:PPM% }. \NAMECITE{Personal}{% Gear:1985:COP% }. \NAMECITE{Perturbed}{% Gear:2005:PSM% }. \NAMECITE{Pite}{% Kaagstrom:1983:MPP% }. \NAMECITE{{PL}}{% Gear:1978:PP% }. \NAMECITE{{PL/1}}{% Gear:1978:PP% }. \NAMECITE{Plane}{% Gear:1960:SSI% }. \NAMECITE{plans}{% Gear:1966:TSI% }. \NAMECITE{points}{% Gear:2015:MDP% }. \NAMECITE{Potential}{% Gear:1986:PPO,% Xuhai:1990:PPM% }. \NAMECITE{pp}{% Gear:1965:RIS% }. \NAMECITE{practical}{% Gear:1979:IVP,% Gear:1980:IVP% }. \NAMECITE{Preconditioned}{% Chronopoulos:1987:IPS,% Chronopoulos:1989:EIP% }. \NAMECITE{Present}{% Gear:1979:NCR,% Gear:1980:NCR% }. \NAMECITE{presented}{% Crane:1987:HAC,% Freeman:1980:TSR% }. \NAMECITE{Princeton}{% Crane:1987:HAC% }. \NAMECITE{problem}{% Calahan:1969:ICP,% Calahan:1970:ICP% }. \NAMECITE{Problems}{% Cash:1983:BRKa,% Gear:1965:HMI,% Gear:1971:NIV,% Gear:2003:PMS,% Willoughby:1973:BRN,% Cash:1983:BRKb,% Gear:1964:HMI,% Gear:1968:GSM,% Gear:1974:SAP,% Gear:1979:IVP,% Gear:1980:IVP,% Gear:1984:NSP,% Gear:2002:PMS,% Kavousanakis:2007:PCP,% Lee:2005:SOA,% Lee:2007:SOA,% Rico-Martinez:2004:CPK,% Gear:1985:BRD% }. \NAMECITE{Proc}{% Gear:1965:RIS% }. \NAMECITE{Proceedings}{% 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\NAMECITE{sharing}{% Gear:1966:NIOb,% Gear:1966:TSI% }. \NAMECITE{Shock}{% Gear:1960:SSI% }. \NAMECITE{short}{% Gear:1973:ICSb% }. \NAMECITE{{SIAM}}{% Gear:1991:ISM% }. \NAMECITE{SIGNUM}{% Gear:1975:PSM,% Skeel:1979:SMN% }. \NAMECITE{similar}{% Gear:2004:MDC% }. \NAMECITE{Simple}{% Gear:1969:SST,% Gear:2004:MDC% }. \NAMECITE{Simulation}{% Gear:1977:SCB,% Gear:1968:GSM,% Gear:1970:SMS,% Gear:1982:BFS,% Gear:1982:RFS% }. \NAMECITE{Simulations}{% Gear:2002:BPM,% Li:2003:DNC,% Li:2007:DNC,% Gear:2003:GTM% }. \NAMECITE{Simulators}{% Gear:200x:CIB,% Georgiou:2017:EAS,% Gear:2002:CIB,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{simultaneous}{% Brown:1973:DDP,% Gear:1970:SNS,% Gear:1971:SNS% }. \NAMECITE{Single}{% Suleiman:1987:TSS,% Suleiman:1989:TSS% }. \NAMECITE{Singular}{% Gear:1960:SSI,% Gear:1963:SSB,% Gear:1964:SSB,% Gear:1982:SIO,% Gear:1983:SIO% }. \NAMECITE{Singularly}{% Gear:2005:PSM% }. \NAMECITE{Size}{% Gear:1974:EVM,% Gear:1973:EVM,% Skeel:1992:DVS% }. \NAMECITE{Slope}{% Gear:2008:OCW% }. \NAMECITE{Slow}{% Artstein:2011:ACD,% Dsilva:2016:DDR,% Gear:2005:PSM,% Gear:2010:CVS,% Zagaris:2009:AAC,% Zagaris:2012:SSC% }. \NAMECITE{snapshot}{% Gear:1970:SMS% }. \NAMECITE{Society}{% Freeman:1980:TSR% }. \NAMECITE{Software}{% Gear:1975:PSM,% Gear:1979:NSS,% Gear:1980:NSS,% Gear:1981:CMS,% Gear:1974:WDW,% Gear:1977:SCB,% Gear:1982:SSW,% Rice:1974:MSP,% Rice:1977:MSI% }. \NAMECITE{Solution}{% Enright:1989:IMN,% Gear:1971:AAD,% Gear:1980:BRN,% Gear:1981:NSO,% Gear:1982:OMS,% Gear:1984:OMS,% Gear:1987:ESS,% Nikolai:1973:CAD,% Brown:1973:DDP,% Gear:1966:NSO,% Gear:1970:SNS,% Gear:1971:SNS,% Gear:1973:AEE,% Gear:1981:ISL,% Gear:1982:BFS,% Gear:1982:RFS,% Gear:1983:ISL,% Gear:1983:NSO,% Gear:1984:ENS,% Gear:1984:MSI,% Gear:1984:NSP,% Gear:1986:MSI% }. \NAMECITE{Solutions}{% Gear:1964:SSB,% Gear:1963:SSB,% Gear:2004:MDC,% Gear:2009:IFS% }. \NAMECITE{solved}{% Gear:1968:GSM% }. \NAMECITE{Solver}{% Hindmarsh:1974:GOD% }. \NAMECITE{Solvers}{% Gear:1980:MIS% }. \NAMECITE{Solving}{% Gear:1981:SOD,% Gear:1984:SOD,% Gupta:1985:ILM,% Shampine:1976:UVS,% Shampine:1979:UVS% }. \NAMECITE{Some}{% Duff:1985:SRIa,% Duff:1985:SRIb,% Gear:1974:SMR,% Gear:1968:GSM% }. \NAMECITE{space}{% Gear:1990:WMS,% Gear:1991:WMS,% Gear:1993:MPA% }. \NAMECITE{Sparse}{% Gear:1989:SSS,% Duff:1985:SRIa,% Duff:1985:SRIb,% Gear:1975:NES% }. \NAMECITE{Sparsity}{% Duff:1988:SSG% }. \NAMECITE{spatially}{% Liu:2015:ASD% }. \NAMECITE{Special}{% Gear:1989:SSS,% Fosdick:1962:RSS% }. \NAMECITE{Spectrum}{% Gear:2003:PMS,% Gear:2002:PMS% }. \NAMECITE{speed}{% Gear:1965:HSC,% Gear:1991:SWM% }. \NAMECITE{Splitting}{% Gear:1987:ESS% }. \NAMECITE{spring}{% Freeman:1980:TSR% }. \NAMECITE{Stability}{% Gear:1973:SCV,% Gear:1974:EVM,% Gear:1974:SCV,% Gear:1978:SNM,% Gear:1978:SVS,% Gear:1986:RTI,% Gear:1987:ESS,% Zagaris:2012:SSC,% Gear:1973:EVM,% Gear:1974:SAP,% Gear:1976:FDS,% Gear:1976:SNM,% Gear:1989:RTI% }. \NAMECITE{stabilization}{% Zagaris:2012:SSC% }. \NAMECITE{Stable}{% Dill:1971:GSS,% Gear:1985:BRD,% Gear:1973:NNE,% Gear:1974:SMR% }. \NAMECITE{Starters}{% Gear:1980:RKS,% Gear:1978:RKS% }. \NAMECITE{States}{% Gear:2002:FSS% }. \NAMECITE{Stationary}{% Gear:2002:FSS% }. \NAMECITE{Step}{% Chronopoulos:1987:IPS,% Chronopoulos:1987:ISM,% Chronopoulos:1987:SIM,% Gear:1986:RTI,% Chronopoulos:1989:EIP,% Chronopoulos:1989:SIM,% Gear:1978:SVS,% Gear:1989:RTI,% Skeel:1992:DVS% }. \NAMECITE{Stepsize}{% Gear:1980:MIS,% Gear:1982:ESC% }. \NAMECITE{Stiff}{% Gear:1982:SSW,% Gear:1987:ESS,% Gear:2002:PMS,% Gear:2003:PMS,% Shampine:1976:UVS,% Shampine:1979:UVS,% Suleiman:1987:TSS,% Cash:1983:BRKb,% Gear:1967:NIS,% Gear:1969:AIS,% Gear:1976:FDS,% Gear:1980:ADT,% Gear:1982:ADT,% Suleiman:1989:TSS% }. \NAMECITE{Stiffly}{% Dill:1971:GSS% }. \NAMECITE{Stochastic}{% Dsilva:2016:DDR,% Georgiou:2017:EAS,% Gear:2010:CVS% }. \NAMECITE{Structural}{% Bertalan:2017:CGD,% Duff:1985:CSIa,% Duff:1985:CSIb,% Duff:1986:CSI% }. \NAMECITE{Structure}{% Duff:1988:SSG% }. \NAMECITE{Study}{% Arden:1980:WCA% }. \NAMECITE{Summer}{% Fosdick:1962:RSS% }. \NAMECITE{Supercomputers}{% Gear:1989:SSS% }. \NAMECITE{surface}{% Hamlin:1977:RSHa,% Hamlin:1977:RSHb,% Hamlin:1980:RSH% }. \NAMECITE{Sweden}{% Kaagstrom:1983:MPP% }. \NAMECITE{Symbiosis}{% Gear:1990:DOM,% Gear:1987:DOM% }. \NAMECITE{Symmetric}{% Chronopoulos:1987:SIM,% Chronopoulos:1989:SIM% }. \NAMECITE{symmetries}{% Kavousanakis:2007:PCP% }. \NAMECITE{symplectic}{% Skeel:1992:DVS% }. \NAMECITE{symposium}{% Rice:1977:MSI,% Gear:1991:CC% }. \NAMECITE{System}{% Chronopoulos:1987:IPS,% Gear:1965:RIS,% Haug:1984:CAA,% Hindmarsh:1974:GOD,% Leimkuhler:1987:OCS,% Gear:1966:NIOb,% Gear:1969:IGM,% Gear:1970:SMS,% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{system-level}{% Kevrekidis:2002:EFC,% Kevrekidis:2003:EFC% }. \NAMECITE{Systems}{% Chronopoulos:1987:SIM,% Dsilva:2016:DDR,% Gear:1982:OMS,% Gear:1984:OMS,% Gear:2005:PSM,% Chronopoulos:1989:SIM,% Gear:1969:GCA,% Gear:1982:DAS,% Gear:1983:DAS,% Gear:2004:EFC,% Gear:2010:CVS% }. \NAMECITE{T}{% Gear:1965:RIS% }. \NAMECITE{Tar}{% Freeman:1980:TSR% }. \NAMECITE{technique}{% Gear:1965:FTT% }. \NAMECITE{Techniques}{% Parslow:1969:CGT,% Gear:1976:FDS,% Gear:1977:ODE,% Hamlin:1977:RSHa,% Hamlin:1980:RSH% }. \NAMECITE{Telescopic}{% Gear:2003:TPM% }. \NAMECITE{terminal}{% Gear:1966:NSO% }. \NAMECITE{Test}{% Gear:1969:SST% }. \NAMECITE{{Texas}}{% Anonymous:1994:PIW% }. \NAMECITE{Their}{% Gear:1981:CMS,% Gear:1986:RTI,% Gear:2003:PMS,% Gear:1989:RTI,% Gear:2002:PMS% }. \NAMECITE{theoretical}{% Gear:1979:IVP,% Gear:1980:IVP% }. \NAMECITE{There}{% Gear:1981:NSO,% Gear:1979:OTA,% Gear:1983:NSO,% Gear:1984:ENS% }. \NAMECITE{Time}{% Gear:1966:TSI,% Gear:1986:RTI,% Jamshidi:2014:TVR,% Xuhai:1990:PPM,% Gear:1966:NIOb,% Gear:1977:SCB,% Gear:1989:RTI,% Gear:1990:WMS,% Gear:1991:WMS,% Gear:1993:PAT% }. \NAMECITE{time-sharing}{% Gear:1966:NIOb% }. \NAMECITE{Tooth}{% Gear:2002:BPM,% Gear:2003:GTM% }. \NAMECITE{Transformations}{% Gear:1986:DAE,% Gear:1988:DAE% }. \NAMECITE{translation}{% Gear:1965:FTT% }. \NAMECITE{Transparency}{% Gear:1973:TMI% }. \NAMECITE{Treating}{% Suleiman:1987:TSS,% Suleiman:1989:TSS% }. \NAMECITE{treatment}{% Gear:1980:ADT,% Gear:1982:ADT% }. \NAMECITE{{Tutorial}}{% Freeman:1980:TSR% }. \NAMECITE{twentieth}{% Freeman:1980:TSR% }. \NAMECITE{Two}{% Gear:1964:SSB,% Gear:1963:SSB,% Gear:1973:NNE% }. \NAMECITE{Type}{% Artstein:2011:ACD% }. \NAMECITE{{Undergraduates}}{% Fosdick:1962:RSS% }. \NAMECITE{Unified}{% Gear:1980:UMD% }. \NAMECITE{University}{% Rice:1977:MSI,% Skeel:1979:SMN% }. \NAMECITE{USA}{% Gear:1975:PSM% }. \NAMECITE{use}{% Gear:1976:FDS% }. \NAMECITE{User}{% Shampine:1976:UVS,% Shampine:1979:UVS,% Gear:1968:GSM% }. \NAMECITE{using}{% Gear:2004:MDC% }. \NAMECITE{VA}{% Gear:1987:SPS% }. \NAMECITE{Value}{% Cash:1983:BRKa,% Gear:1965:HMI,% Gear:1971:NIV,% Gear:1985:BRD,% Willoughby:1973:BRN,% Cash:1983:BRKb,% Gear:1964:HMI,% Gear:1979:IVP,% Gear:1980:IVP,% Rico-Martinez:2004:CPK% }. \NAMECITE{Values}{% Leimkuhler:1987:OCS% }. \NAMECITE{Variable}{% Gear:1974:EVM,% Gear:1974:SCV,% Gear:1973:EVM,% Gear:1973:SCV,% Gear:1978:SVS,% Liu:2015:EFM,% Skeel:1992:DVS% }. \NAMECITE{variable-free}{% Liu:2015:EFM% }. \NAMECITE{variable-step}{% Gear:1978:SVS% }. \NAMECITE{various}{% Gear:1966:NIOa% }. \NAMECITE{varying}{% Jamshidi:2014:TVR% }. \NAMECITE{Vector}{% Chronopoulos:1987:ISM% }. \NAMECITE{via}{% Gear:1987:ESS,% Gear:2002:CIB,% Gear:200x:CIB% }. \NAMECITE{View}{% Shampine:1976:UVS,% Shampine:1979:UVS,% Gear:1970:SMS% }. \NAMECITE{virtual}{% Gear:2010:CVS% }. \NAMECITE{vol}{% Gear:1965:RIS% }. \NAMECITE{W}{% Gear:1965:RIS,% Gear:2022:CWG,% Haigh:2005:ICW% }. \NAMECITE{{WATFIV}}{% Gear:1978:FWL% }. \NAMECITE{Waveform}{% Gear:1990:WMS,% Gear:1991:WMS,% Juang:1989:AIW,% Gear:1991:SWM% }. \NAMECITE{Weights}{% Gear:2008:OCW% }. \NAMECITE{which}{% Gear:1965:FTT,% Gear:1984:NSP% }. \NAMECITE{William}{% Anonymous:2022:CWGa,% Anonymous:2022:CWGb,% Anonymous:2022:CWGc,% Anonymous:2022:CWGd,% Cybenko:1993:BRC,% Kevrekidis:2022:OCWa,% Kevrekidis:2022:OCWb,% Petzold:1997:DCW,% Skeel:1997:DCW,% Willoughby:1973:BRN% }. \NAMECITE{Wisconsin}{% Rice:1977:MSI% }. \NAMECITE{Workshop}{% Anonymous:1994:PIW,% Bellen:1987:NMO% }.