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Petzold, Linda Ruth

Author ID: petzold.linda-ruth Recent zbMATH articles by "Petzold, Linda Ruth"
Published as: Petzold, Linda R.; Petzold, Linda; Petzold, L. R.; Petzold, Linda Ruth; Petzold, L.
External Links: MGP · Wikidata · GND · IdRef
all top 5

Co-Authors

14 single-authored
10 Cao, Yang
10 Li, Shengtai
10 Serban, Radu
5 Ascher, Uri M.
5 Hellander, Andreas
5 Hellander, Stefan
4 Campbell, Stephen LaVern
4 Gear, Charles William
4 Gillespie, Daniel Thomas
4 Homescu, Chris
4 Raha, Soumyendu
4 Yen, Jeng
3 Brenan, Kathryn E.
3 Drawert, Brian
3 Jay, Laurent-Olivier
3 Rathinam, Muruhan
3 Ren, Yuhe
3 Zheng, Zheming
3 Zhu, Wenjie
2 Alkire, Richard C.
2 Brown, Peter N.
2 Buoni, Matthew
2 El Samad, Hana
2 Fu, Jin
2 Gill, Philip E.
2 Hindmarsh, Alan C.
2 Hyman, James M.
2 Jacob, Bruno
2 Khammash, Mustafa H.
2 Lötstedt, Per
2 Maly, Timothy
2 Mathew, George
2 Mezić, Igor
2 Moore, Peter K.
2 Simeon, Bernd
2 Wu, Sheng
2 Yi, Tau-Mu
1 Aldakheel, Sahar
1 Ashby, Steven F.
1 Atzberger, Paul J.
1 Bales, Benjamin B.
1 Bezzola, Andri
1 Braatz, Richard D.
1 Burrage, Kevin
1 Carr, Robert W.
1 Chaplain, Mark A. J.
1 Clark, Kenneth D.
1 Cohen, Morrel H.
1 de la Llave, Rafael
1 Dean, Anthony M.
1 Doyle, Francis Joseph III
1 Fronk, Colby
1 Garcia, Jay O.
1 Grafton, Scott T.
1 Grivopoulos, Symeon
1 Gunawan, Rudiyanto
1 Jiang, Richard M.
1 John, Samuel St.
1 Jordan, Kirk E.
1 Keyes, David Elliot
1 Koç, Çetin Kaya
1 Koon, Wang Sang
1 LaFarge, Robert A.
1 Lampoudi, Sotiria
1 Lauharatanahirun, N.
1 Lawson, Michael J.
1 Lee, Steven L.
1 Leimkuhler, Benedict J.
1 Leonard, Michael W.
1 Leuze, Michael R.
1 Li, Hong
1 Li, Shentai
1 Li, Zhen
1 Lim, Rone Kwei
1 Lo, Martin W.
1 Lorenz, Jens
1 Mac Hyman, J.
1 Mao, Guiyou
1 Marsden, Jerrold Eldon
1 März, Roswitha
1 Meeker, Kirsten
1 Meinhart, Carl D.
1 Mitchell, B. A.
1 Park, Kihong
1 Potra, Florian-Alexandru
1 Pourzanjani, Arya A.
1 Reed, Daniel A.
1 Rentrop, Peter
1 Rosen, J. Ben
1 Saylor, Paul E.
1 Schiesser, William E.
1 Sharma, Vivek Kumar
1 Shiflet, Angela B.
1 Sincovec, Richard F.
1 Skeel, Robert D.
1 Söderlind, Gustaf
1 Stephens, Ryan M.
1 Sturrock, Marc
1 Taha, Thiab R.
1 Taylor, Stephanie R.
...and 7 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

93 Publications have been cited 3,105 times in 2,284 Documents Cited by Year
Numerical solution of initial-value problems in differential-algebraic equations. Unabridged, corr. republ. Zbl 0844.65058
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
446
1996
Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055
Ascher, Uri M.; Petzold, Linda R.
427
1998
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
406
1989
A new look at proper orthogonal decomposition. Zbl 1053.65106
Rathinam, Muruhan; Petzold, Linda R.
113
2003
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
105
1984
Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051
Petzold, Linda
103
1983
Differential/algebraic equations are not ODE’s. Zbl 0482.65041
Petzold, Linda
82
1982
Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution. Zbl 1034.65066
Cao, Yang; Li, Shengtai; Petzold, Linda; Serban, Radu
72
2003
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004
Cao, Yang; Gillespie, Dan; Petzold, Linda
65
2005
A multiscale measure for mixing. Zbl 1098.37067
Mathew, George; Meziç, Igor; Petzold, Linda
62
2005
Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067
Ascher, Uri M.; Petzold, Linda R.
60
1991
Numerical solution of highly oscillatory ordinary differential equations. Zbl 0887.65072
Petzold, Linda R.; Jay, Laurent O.; Yen, Jeng
57
1997
Using Krylov methods in the solution of large-scale differential-algebraic systems. Zbl 0812.65060
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
55
1994
Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. Zbl 0601.65060
Lötstedt, Per; Petzold, Linda
54
1986
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
47
1983
Optimal control of mixing in Stokes fluid flows. Zbl 1275.76088
Mathew, George; Mezić, Igor; Grivopoulos, Symeon; Vaidya, Umesh; Petzold, Linda
44
2007
Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084
Petzold, L. R.
44
1986
The numerical solution of delay-differential-algebraic equations of retarded and neutral type. Zbl 0837.65070
Ascher, Uri M.; Petzold, Linda R.
41
1995
Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056
Maly, Timothy; Petzold, Linda R.
39
1996
Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060
Zhu, Wenjie; Petzold, Linda R.
36
1997
Stability of computational methods for constrained dynamics systems. Zbl 0773.65044
Ascher, Uri M.; Petzold, Linda R.
33
1993
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
31
1983
Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086
Petzold, Linda; Lötstedt, Per
31
1986
Stability of moving mesh systems of partial differential equations. Zbl 0924.65081
Li, Shengtai; Petzold, Linda; Ren, Yuhe
29
1999
Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076
Li, Shengtai; Petzold, Linda
26
1997
Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516
Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T.
24
2005
Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
23
1998
The numerical solution of higher index differential/algebraic equations by implicit methods. Zbl 0681.65050
Brenan, Kathryn E.; Petzold, Linda R.
22
1989
A posteriori error estimation and global error control for ordinary differential equations by the adjoint method. Zbl 1075.65107
Cao, Yang; Petzold, Linda
21
2004
Stochastic modelling of gene regulatory networks. Zbl 1090.93002
El Samad, Hana; Khammash, Mustafa; Petzold, Linda; Gillespie, Dan
20
2005
An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053
Petzold, Linda R.
20
1981
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123
Petzold, Linda R.
19
1987
Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076
Leimkuhler, B.; Petzold, L. R.; Gear, C. W.
18
1991
Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084
Cao, Yang; Li, Shengtai; Petzold, Linda
17
2002
Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076
Homescu, Chris; Petzold, Linda R.; Serban, Radu
17
2005
Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. Zbl 0945.65095
Li, Shengtai; Petzold, Linda; Zhu, Wenjie
16
2000
Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104
Homescu, Chris; Petzold, Linda R.; Serban, Radu
16
2007
Numerical solution of boundary value problems in differential-algebraic systems. Zbl 0677.65089
Clark, Kenneth D.; Petzold, Linda R.
16
1989
Runge-Kutta-Chebyshev projection method. Zbl 1103.76048
Zheng, Zheming; Petzold, Linda
16
2006
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
14
2003
Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049
Ascher, Uri M.; Petzold, Linda R.
14
1992
A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. Zbl 0949.70006
Yen, Jeng; Petzold, Linda; Raha, Soumyendu
14
1998
Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. Zbl 1033.65056
Rathinam, Muruhan; Petzold, Linda R.
13
2002
An SQP method for the optimal control of large-scale dynamical systems. Zbl 0963.65071
Gill, Philip E.; Jay, Laurent O.; Leonard, Michael W.; Petzold, Linda R.; Sharma, Vivek
13
2000
Sensitivity measures for oscillating systems: application to mammalian circadian gene network. Zbl 1366.92018
Taylor, Stephanie R.; Gunawan, Rudiyanto; Petzold, Linda R.; Doyle, Francis J. III
13
2008
Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. Zbl 1079.80003
Cao, Yang; Petzold, Linda
13
2006
Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074
Li, Shengtai; Petzold, Linda
13
2000
Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method. Zbl 1061.76072
Zhu, Luoding; Tretheway, Derek; Petzold, Linda; Meinhart, Carl
12
2005
Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089
Li, Shengtai; Petzold, Linda
12
2004
A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076
Zheng, Zheming; Simeon, Bernd; Petzold, Linda
12
2008
Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388
Serban, Radu; Koon, Wang S.; Lo, Martin W.; Marsden, Jerrold E.; Petzold, Linda R.
11
2002
Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083
Mao, Guiyou; Petzold, L. R.
10
2002
On order reduction for Runge-Kutta methods applied to differential/algebraic systems and to stiff systems of ODEs. Zbl 0708.65069
Burrage, Kevin; Petzold, Linda
10
1990
Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. Zbl 0937.34059
Zhu, Wenjie; Petzold, Linda R.
8
1998
Numerical solution of differential-algebraic equations. Zbl 0843.65049
Petzold, Linda R.
8
1995
Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002
Petzold, Linda R.
8
1992
The role of dimerisation and nuclear transport in the Hes1 gene regulatory network. Zbl 1297.92032
Sturrock, Marc; Hellander, Andreas; Aldakheel, Sahar; Petzold, Linda; Chaplain, Mark A. J.
8
2014
Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting. Zbl 1296.65121
Hellander, Andreas; Lawson, Michael J.; Drawert, Brian; Petzold, Linda
7
2014
A subspace error estimate for linear systems. Zbl 1036.65042
Cao, Yang; Petzold, Linda
7
2003
Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems. Zbl 1062.49506
Serban, Radu; Li, Shengtai; Petzold, Linda R.
6
2003
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
Regularization of index-1 differential-algebraic equations with rank-deficient constraints. Zbl 0913.65064
Moore, P. K.; Petzold, L. R.; Ren, Y.
6
1998
Regularization of higher-index differential-algebraic equations with rank-deficient constraints. Zbl 0872.65063
Petzold, Linda R.; Ren, Yuhe; Maly, Timothy
6
1997
Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048
Petzold, Linda R.
6
1989
An efficient Newton-type iteration for the numerical solution of highly oscillatory constrained multibody dynamic systems. Zbl 0915.65080
Yen, Jeng; Petzold, Linda R.
5
1998
COOPT – a software package for optimal control of large-scale differential-algebraic equation systems. Zbl 1026.93004
Serban, Radu; Petzold, Linda R.
5
2001
A model of macroscale deformation and microvibration in skeletal muscle tissue. Zbl 1168.92008
Simeon, Bernd; Serban, Radu; Petzold, Linda R.
5
2009
Methods and software for differential-algebraic systems. Zbl 0763.65057
Petzold, Linda R.
4
1991
Numerical optimal control of parabolic PDEs using DASOPT. Zbl 0884.65065
Petzold, Linda; Rosen, J. Ben; Gill, Philip E.; Jay, Laurent O.; Park, Kihong
4
1997
An error estimate for matrix equations. Zbl 1050.65043
Cao, Yang; Petzold, Linda
4
2004
An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. Zbl 1181.78015
Buoni, Matthew; Petzold, Linda
4
2010
An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. Zbl 1127.78001
Buoni, Matthew; Petzold, Linda
4
2007
The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. Zbl 1154.65345
Serban, Radu; Homescu, Chris; Petzold, Linda R.
4
2007
A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115
Moore, Peter K.; Petzold, Linda R.
3
1994
Computational challenges in mechanical systems simulation. Zbl 0874.70002
Petzold, Linda R.
3
1994
Efficient computation of sensitivities for ordinary differential equation boundary value problems. Zbl 1016.65051
Serban, Radu; Petzold, Linda R.
3
2002
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
3
2003
Slow-scale tau-leaping method. Zbl 1194.80120
Cao, Yang; Petzold, Linda
3
2008
Time dependent solution for acceleration of tau-leaping. Zbl 1291.65019
Fu, Jin; Wu, Sheng; Petzold, Linda R.
3
2013
Singular implicit ordinary differential equations and constraints. Zbl 0513.65047
Gear, C. W.; Petzold, L. R.
3
1983
Bayesian inference over the Stiefel manifold via the Givens representation. Zbl 1493.62133
Pourzanjani, Arya A.; Jiang, Richard M.; Mitchell, Brian; Atzberger, Paul J.; Petzold, Linda R.
3
2021
An arbitrary Lagrangian Eulerian smoothed particle hydrodynamics (ALE-SPH) method with a boundary volume fraction formulation for fluid-structure interaction. Zbl 1521.76668
Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda
3
2021
Effect of excluded volume on 2D discrete stochastic chemical kinetics. Zbl 1165.80317
Lampoudi, Sotiria; Gillespie, Dan T.; Petzold, Linda R.
2
2009
The time dependent propensity function for acceleration of spatial stochastic simulation of reaction-diffusion systems. Zbl 1351.82007
Fu, Jin; Wu, Sheng; Li, Hong; Petzold, Linda R.
2
2014
An adaptive moving grid method for one-dimensional systems of PDEs and its numerical solution. Zbl 0703.65051
Petzold, Linda R.
2
1989
Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065
Raha, Soumyendu; Petzold, Linda R.
2
2001
Constraint partitioning for structure in path-constrained dynamic optimization problems. Zbl 0989.65083
Raha, Soumyendu; Petzold, Linda R.
2
2001
Computational challenges in the solution of nonlinear oscillatory multibody dynamics systems. Zbl 0856.70006
Yen, Jeng; Petzold, L. R.
1
1996
Variational optimisation by the solution of a series of Hamilton-Jacobi equations. Zbl 0978.49024
Venkatesh, Prasana K.; Petzold, Linda R.; Carr, Robert W.; Cohen, Morrel H.; Dean, Anthony M.
1
2001
Report 18/2006: Differential-Algebraic Equations (April 16th – April 22nd, 2006). Zbl 1109.34301
1
2006
A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection-diffusion-reaction problems. Zbl 1416.76244
Drawert, Brian; Jacob, Bruno; Li, Zhen; Yi, Tau-Mu; Petzold, Linda
1
2019
An exact and efficient first passage time algorithm for reaction-diffusion processes on a 2D-lattice. Zbl 1349.65006
Bezzola, Andri; Bales, Benjamin B.; Alkire, Richard C.; Petzold, Linda R.
1
2014
Interpretable polynomial neural ordinary differential equations. Zbl 07861045
Fronk, Colby; Petzold, Linda
1
2023
Interpretable polynomial neural ordinary differential equations. Zbl 07861045
Fronk, Colby; Petzold, Linda
1
2023
Bayesian inference over the Stiefel manifold via the Givens representation. Zbl 1493.62133
Pourzanjani, Arya A.; Jiang, Richard M.; Mitchell, Brian; Atzberger, Paul J.; Petzold, Linda R.
3
2021
An arbitrary Lagrangian Eulerian smoothed particle hydrodynamics (ALE-SPH) method with a boundary volume fraction formulation for fluid-structure interaction. Zbl 1521.76668
Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda
3
2021
A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection-diffusion-reaction problems. Zbl 1416.76244
Drawert, Brian; Jacob, Bruno; Li, Zhen; Yi, Tau-Mu; Petzold, Linda
1
2019
The role of dimerisation and nuclear transport in the Hes1 gene regulatory network. Zbl 1297.92032
Sturrock, Marc; Hellander, Andreas; Aldakheel, Sahar; Petzold, Linda; Chaplain, Mark A. J.
8
2014
Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting. Zbl 1296.65121
Hellander, Andreas; Lawson, Michael J.; Drawert, Brian; Petzold, Linda
7
2014
The time dependent propensity function for acceleration of spatial stochastic simulation of reaction-diffusion systems. Zbl 1351.82007
Fu, Jin; Wu, Sheng; Li, Hong; Petzold, Linda R.
2
2014
An exact and efficient first passage time algorithm for reaction-diffusion processes on a 2D-lattice. Zbl 1349.65006
Bezzola, Andri; Bales, Benjamin B.; Alkire, Richard C.; Petzold, Linda R.
1
2014
Time dependent solution for acceleration of tau-leaping. Zbl 1291.65019
Fu, Jin; Wu, Sheng; Petzold, Linda R.
3
2013
An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. Zbl 1181.78015
Buoni, Matthew; Petzold, Linda
4
2010
A model of macroscale deformation and microvibration in skeletal muscle tissue. Zbl 1168.92008
Simeon, Bernd; Serban, Radu; Petzold, Linda R.
5
2009
Effect of excluded volume on 2D discrete stochastic chemical kinetics. Zbl 1165.80317
Lampoudi, Sotiria; Gillespie, Dan T.; Petzold, Linda R.
2
2009
Sensitivity measures for oscillating systems: application to mammalian circadian gene network. Zbl 1366.92018
Taylor, Stephanie R.; Gunawan, Rudiyanto; Petzold, Linda R.; Doyle, Francis J. III
13
2008
A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076
Zheng, Zheming; Simeon, Bernd; Petzold, Linda
12
2008
Slow-scale tau-leaping method. Zbl 1194.80120
Cao, Yang; Petzold, Linda
3
2008
Optimal control of mixing in Stokes fluid flows. Zbl 1275.76088
Mathew, George; Mezić, Igor; Grivopoulos, Symeon; Vaidya, Umesh; Petzold, Linda
44
2007
Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104
Homescu, Chris; Petzold, Linda R.; Serban, Radu
16
2007
An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. Zbl 1127.78001
Buoni, Matthew; Petzold, Linda
4
2007
The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. Zbl 1154.65345
Serban, Radu; Homescu, Chris; Petzold, Linda R.
4
2007
Runge-Kutta-Chebyshev projection method. Zbl 1103.76048
Zheng, Zheming; Petzold, Linda
16
2006
Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. Zbl 1079.80003
Cao, Yang; Petzold, Linda
13
2006
Report 18/2006: Differential-Algebraic Equations (April 16th – April 22nd, 2006). Zbl 1109.34301
1
2006
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004
Cao, Yang; Gillespie, Dan; Petzold, Linda
65
2005
A multiscale measure for mixing. Zbl 1098.37067
Mathew, George; Meziç, Igor; Petzold, Linda
62
2005
Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516
Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T.
24
2005
Stochastic modelling of gene regulatory networks. Zbl 1090.93002
El Samad, Hana; Khammash, Mustafa; Petzold, Linda; Gillespie, Dan
20
2005
Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076
Homescu, Chris; Petzold, Linda R.; Serban, Radu
17
2005
Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method. Zbl 1061.76072
Zhu, Luoding; Tretheway, Derek; Petzold, Linda; Meinhart, Carl
12
2005
A posteriori error estimation and global error control for ordinary differential equations by the adjoint method. Zbl 1075.65107
Cao, Yang; Petzold, Linda
21
2004
Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089
Li, Shengtai; Petzold, Linda
12
2004
An error estimate for matrix equations. Zbl 1050.65043
Cao, Yang; Petzold, Linda
4
2004
A new look at proper orthogonal decomposition. Zbl 1053.65106
Rathinam, Muruhan; Petzold, Linda R.
113
2003
Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution. Zbl 1034.65066
Cao, Yang; Li, Shengtai; Petzold, Linda; Serban, Radu
72
2003
An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085
Hyman, J. M.; Li, Shengtai; Petzold, L. R.
14
2003
A subspace error estimate for linear systems. Zbl 1036.65042
Cao, Yang; Petzold, Linda
7
2003
Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems. Zbl 1062.49506
Serban, Radu; Li, Shengtai; Petzold, Linda R.
6
2003
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
3
2003
Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084
Cao, Yang; Li, Shengtai; Petzold, Linda
17
2002
Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. Zbl 1033.65056
Rathinam, Muruhan; Petzold, Linda R.
13
2002
Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388
Serban, Radu; Koon, Wang S.; Lo, Martin W.; Marsden, Jerrold E.; Petzold, Linda R.
11
2002
Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083
Mao, Guiyou; Petzold, L. R.
10
2002
Efficient computation of sensitivities for ordinary differential equation boundary value problems. Zbl 1016.65051
Serban, Radu; Petzold, Linda R.
3
2002
COOPT – a software package for optimal control of large-scale differential-algebraic equation systems. Zbl 1026.93004
Serban, Radu; Petzold, Linda R.
5
2001
Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065
Raha, Soumyendu; Petzold, Linda R.
2
2001
Constraint partitioning for structure in path-constrained dynamic optimization problems. Zbl 0989.65083
Raha, Soumyendu; Petzold, Linda R.
2
2001
Variational optimisation by the solution of a series of Hamilton-Jacobi equations. Zbl 0978.49024
Venkatesh, Prasana K.; Petzold, Linda R.; Carr, Robert W.; Cohen, Morrel H.; Dean, Anthony M.
1
2001
Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. Zbl 0945.65095
Li, Shengtai; Petzold, Linda; Zhu, Wenjie
16
2000
An SQP method for the optimal control of large-scale dynamical systems. Zbl 0963.65071
Gill, Philip E.; Jay, Laurent O.; Leonard, Michael W.; Petzold, Linda R.; Sharma, Vivek
13
2000
Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074
Li, Shengtai; Petzold, Linda
13
2000
Stability of moving mesh systems of partial differential equations. Zbl 0924.65081
Li, Shengtai; Petzold, Linda; Ren, Yuhe
29
1999
Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055
Ascher, Uri M.; Petzold, Linda R.
427
1998
Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
23
1998
A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. Zbl 0949.70006
Yen, Jeng; Petzold, Linda; Raha, Soumyendu
14
1998
Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. Zbl 0937.34059
Zhu, Wenjie; Petzold, Linda R.
8
1998
Regularization of index-1 differential-algebraic equations with rank-deficient constraints. Zbl 0913.65064
Moore, P. K.; Petzold, L. R.; Ren, Y.
6
1998
An efficient Newton-type iteration for the numerical solution of highly oscillatory constrained multibody dynamic systems. Zbl 0915.65080
Yen, Jeng; Petzold, Linda R.
5
1998
Numerical solution of highly oscillatory ordinary differential equations. Zbl 0887.65072
Petzold, Linda R.; Jay, Laurent O.; Yen, Jeng
57
1997
Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060
Zhu, Wenjie; Petzold, Linda R.
36
1997
Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076
Li, Shengtai; Petzold, Linda
26
1997
Regularization of higher-index differential-algebraic equations with rank-deficient constraints. Zbl 0872.65063
Petzold, Linda R.; Ren, Yuhe; Maly, Timothy
6
1997
Numerical optimal control of parabolic PDEs using DASOPT. Zbl 0884.65065
Petzold, Linda; Rosen, J. Ben; Gill, Philip E.; Jay, Laurent O.; Park, Kihong
4
1997
Numerical solution of initial-value problems in differential-algebraic equations. Unabridged, corr. republ. Zbl 0844.65058
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
446
1996
Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056
Maly, Timothy; Petzold, Linda R.
39
1996
Computational challenges in the solution of nonlinear oscillatory multibody dynamics systems. Zbl 0856.70006
Yen, Jeng; Petzold, L. R.
1
1996
The numerical solution of delay-differential-algebraic equations of retarded and neutral type. Zbl 0837.65070
Ascher, Uri M.; Petzold, Linda R.
41
1995
Numerical solution of differential-algebraic equations. Zbl 0843.65049
Petzold, Linda R.
8
1995
Using Krylov methods in the solution of large-scale differential-algebraic systems. Zbl 0812.65060
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
55
1994
A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115
Moore, Peter K.; Petzold, Linda R.
3
1994
Computational challenges in mechanical systems simulation. Zbl 0874.70002
Petzold, Linda R.
3
1994
Stability of computational methods for constrained dynamics systems. Zbl 0773.65044
Ascher, Uri M.; Petzold, Linda R.
33
1993
Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049
Ascher, Uri M.; Petzold, Linda R.
14
1992
Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002
Petzold, Linda R.
8
1992
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067
Ascher, Uri M.; Petzold, Linda R.
60
1991
Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076
Leimkuhler, B.; Petzold, L. R.; Gear, C. W.
18
1991
Methods and software for differential-algebraic systems. Zbl 0763.65057
Petzold, Linda R.
4
1991
On order reduction for Runge-Kutta methods applied to differential/algebraic systems and to stiff systems of ODEs. Zbl 0708.65069
Burrage, Kevin; Petzold, Linda
10
1990
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
406
1989
The numerical solution of higher index differential/algebraic equations by implicit methods. Zbl 0681.65050
Brenan, Kathryn E.; Petzold, Linda R.
22
1989
Numerical solution of boundary value problems in differential-algebraic systems. Zbl 0677.65089
Clark, Kenneth D.; Petzold, Linda R.
16
1989
Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048
Petzold, Linda R.
6
1989
An adaptive moving grid method for one-dimensional systems of PDEs and its numerical solution. Zbl 0703.65051
Petzold, Linda R.
2
1989
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123
Petzold, Linda R.
19
1987
Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. Zbl 0601.65060
Lötstedt, Per; Petzold, Linda
54
1986
Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084
Petzold, L. R.
44
1986
Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086
Petzold, Linda; Lötstedt, Per
31
1986
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
105
1984
Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051
Petzold, Linda
103
1983
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
47
1983
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
31
1983
Singular implicit ordinary differential equations and constraints. Zbl 0513.65047
Gear, C. W.; Petzold, L. R.
3
1983
Differential/algebraic equations are not ODE’s. Zbl 0482.65041
Petzold, Linda
82
1982
An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053
Petzold, Linda R.
20
1981
all top 5

Cited by 3,666 Authors

41 Petzold, Linda Ruth
39 Campbell, Stephen LaVern
32 März, Roswitha
32 Mehrmann, Volker
22 Simeon, Bernd
20 Riaza, Ricardo
16 Hoang, Manh Tuan
15 Linh, Vu Hoang
14 Kunkel, Peter
13 Barton, Paul I.
13 Lamour, René
13 Shcheglova, Alla Arkad’evna
12 Chistyakov, Viktor Filimonovich
12 Moore, Peter K.
11 Bulatov, Mikhail Valer’yanovich
11 Jiang, Yaolin
11 Lötstedt, Per
10 Hellander, Andreas
10 Tischendorf, Caren
9 Bayram, Mustafa
9 Carlberg, Kevin T.
9 Çelik, Ercan
9 Luo, Xinlong
9 Paternoster, Beatrice
9 Shadid, John N.
9 Solovarova, Lyubov’ Stepanovna
8 Altmann, Robert
8 Betsch, Peter
8 Cao, Yang
8 Chistyakova, Elena Viktorovna
8 Engblom, Stefan
8 Estévez Schwarz, Diana
8 Froyland, Gary
8 Gerdts, Matthias
8 Hu, Weiwei
8 Huang, Jingfang
8 Jay, Laurent-Olivier
8 Lubich, Christian
8 Ramos, Higinio
8 Rang, Joachim
8 Verwer, Jan G.
7 Ascher, Uri M.
7 Benner, Peter
7 Betts, John T.
7 Blajer, Wojciech
7 Chacón, Luis
7 Chaudhry, Jehanzeb Hameed
7 Engquist, Bjorn E.
7 Hanke, Michael
7 Higueras, Inmaculada
7 Hosseini, Mohammad-Mehdi
7 Mezić, Igor
7 Murua, Ander
7 Petrenko, Pavel Sergeevich
7 Pryce, John D.
7 Rheinboldt, Werner C.
7 Sandu, Adrian
7 Song, Yongzhong
7 Stechlinski, Peter G.
7 Tian, Hongjiong
6 Ambrósio, Jorge A. C.
6 Brugnano, Luigi
6 Brüls, Olivier
6 Chartier, Philippe
6 D’Ambrosio, Raffaele
6 Doering, Charles Rogers
6 Farhat, Charbel H.
6 Gear, Charles William
6 Li, Shengtai
6 Mazzia, Francesca
6 Muir, Paul H.
6 Nedialkov, Nedialko S.
6 Pulch, Roland
6 Pytlak, Radosław
6 Raha, Soumyendu
6 Shampine, Lawrence Fred
6 Soheili, Ali Reza
6 Tsai, Yen-Hsi Richard
6 Veerapaneni, Shravan Kumar
6 Wang, Shaoxin
6 Wei, Yimin
6 Zhang, Qingling
5 Ariel, Gil
5 Baker, Christopher Thomas Hale
5 Barone, Matthew F.
5 Berzins, Martin
5 Budd, Christopher John
5 Clark, Kenneth D.
5 Crippa, Gianluca
5 Estep, Donald J.
5 Gasparo, Maria Grazia
5 Hartmann, Stefan
5 Iwata, Satoru
5 Jahnke, Tobias
5 Jbilou, Khalide
5 Kiehl, Martin
5 Macconi, Maria
5 Marsden, Jerrold Eldon
5 Marszałek, Wiesław
5 Nakshatrala, Kalyana B.
...and 3,566 more Authors
all top 5

Cited in 340 Serials

169 Journal of Computational Physics
127 Journal of Computational and Applied Mathematics
126 Applied Numerical Mathematics
108 Applied Mathematics and Computation
84 Computer Methods in Applied Mechanics and Engineering
56 Multibody System Dynamics
51 International Journal for Numerical Methods in Engineering
44 Computers & Mathematics with Applications
42 BIT
37 Mathematics and Computers in Simulation
34 Linear Algebra and its Applications
30 Automatica
30 Numerical Algorithms
30 SIAM Journal on Scientific Computing
28 Numerische Mathematik
27 Journal of Fluid Mechanics
27 Journal of Scientific Computing
20 Bulletin of Mathematical Biology
20 Journal of Optimization Theory and Applications
20 Physica D
20 International Journal of Computer Mathematics
20 Journal of Theoretical Biology
17 Journal of the Franklin Institute
17 Mathematics of Computation
17 Circuits, Systems, and Signal Processing
17 Nonlinear Dynamics
17 Communications in Nonlinear Science and Numerical Simulation
16 Journal of Mathematical Analysis and Applications
16 Chaos
16 Mathematical and Computer Modelling of Dynamical Systems
15 Computers and Fluids
15 Applied Mathematical Modelling
15 Physics of Fluids
14 International Journal of Robust and Nonlinear Control
13 Computer Physics Communications
13 International Journal of Control
13 SIAM Journal on Numerical Analysis
13 Systems & Control Letters
12 Computational Mechanics
12 Applied Mathematics Letters
12 Mathematical and Computer Modelling
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Advances in Computational Mathematics
11 Journal of Mathematical Sciences (New York)
10 International Journal for Numerical Methods in Fluids
10 Journal of Mathematical Biology
10 Journal of Differential Equations
10 Numerical Methods for Partial Differential Equations
10 Computational and Applied Mathematics
10 Combustion Theory and Modelling
9 Mathematical Biosciences
9 Chaos, Solitons and Fractals
9 Computing
9 Numerical Linear Algebra with Applications
9 SIAM Journal on Applied Dynamical Systems
8 MCSS. Mathematics of Control, Signals, and Systems
8 Computational Optimization and Applications
8 Optimization Methods & Software
8 Journal of Applied Mathematics and Computing
7 SIAM Journal on Control and Optimization
7 Optimal Control Applications & Methods
7 SIAM Journal on Matrix Analysis and Applications
7 Journal of Nonlinear Science
7 Mathematical Problems in Engineering
7 Computational Geosciences
7 Differential Equations
7 Multiscale Modeling & Simulation
6 Journal of Mathematical Chemistry
6 Optimization and Engineering
6 Nonlinear Analysis. Hybrid Systems
6 SIAM/ASA Journal on Uncertainty Quantification
5 Mathematical Methods in the Applied Sciences
5 Results in Mathematics
5 Siberian Mathematical Journal
5 Journal of Economic Dynamics & Control
5 Automation and Remote Control
5 Russian Mathematics
5 ETNA. Electronic Transactions on Numerical Analysis
5 Discrete Dynamics in Nature and Society
5 European Journal of Mechanics. A. Solids
5 Journal of Applied Mathematics
5 International Journal of Computational Methods
5 Advances in Difference Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Numerical Algebra, Control and Optimization
5 Journal of Computational Dynamics
5 International Journal of Systems Science. Principles and Applications of Systems and Integration
4 International Journal of Heat and Mass Transfer
4 International Journal of Systems Science
4 Journal of Engineering Mathematics
4 Physica A
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Calcolo
4 Meccanica
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Computational Mathematics and Mathematical Physics
4 SIAM Journal on Applied Mathematics
4 SIAM Review
4 Journal of Dynamics and Differential Equations
...and 240 more Serials
all top 5

Cited in 48 Fields

1,253 Numerical analysis (65-XX)
678 Ordinary differential equations (34-XX)
338 Fluid mechanics (76-XX)
302 Partial differential equations (35-XX)
264 Systems theory; control (93-XX)
224 Biology and other natural sciences (92-XX)
198 Mechanics of particles and systems (70-XX)
168 Mechanics of deformable solids (74-XX)
161 Calculus of variations and optimal control; optimization (49-XX)
123 Dynamical systems and ergodic theory (37-XX)
111 Probability theory and stochastic processes (60-XX)
91 Computer science (68-XX)
74 Classical thermodynamics, heat transfer (80-XX)
74 Operations research, mathematical programming (90-XX)
53 Linear and multilinear algebra; matrix theory (15-XX)
48 Statistics (62-XX)
41 Statistical mechanics, structure of matter (82-XX)
41 Information and communication theory, circuits (94-XX)
37 Optics, electromagnetic theory (78-XX)
30 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
24 Geophysics (86-XX)
23 Integral equations (45-XX)
17 Operator theory (47-XX)
13 Combinatorics (05-XX)
12 Difference and functional equations (39-XX)
11 Real functions (26-XX)
11 Quantum theory (81-XX)
9 Approximations and expansions (41-XX)
9 Global analysis, analysis on manifolds (58-XX)
7 General and overarching topics; collections (00-XX)
6 Commutative algebra (13-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Relativity and gravitational theory (83-XX)
4 Differential geometry (53-XX)
4 Astronomy and astrophysics (85-XX)
3 Special functions (33-XX)
3 General topology (54-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Measure and integration (28-XX)
2 Functions of a complex variable (30-XX)
2 Functional analysis (46-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Citations by Year

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