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Petzold, Linda Ruth

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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.
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all top 5

Co-Authors

14 single-authored
10 Cao, Yang
10 Li, Shengtai
10 Serban, Radu
5 Ascher, Uri M.
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 Hellander, Andreas
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 Garcia, J. 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 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.
1 Tretheway, Derek C.
1 Vaidya, Umesh
1 Vakalis, Ignatios E.
...and 4 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

89 Publications have been cited 2,722 times in 1,970 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.
401
1996
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
377
1989
Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055
Ascher, Uri M.; Petzold, Linda R.
336
1998
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
99
1984
Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051
Petzold, Linda
86
1983
A new look at proper orthogonal decomposition. Zbl 1053.65106
Rathinam, Muruhan; Petzold, Linda R.
82
2003
Differential/algebraic equations are not ODE’s. Zbl 0482.65041
Petzold, Linda
76
1982
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004
Cao, Yang; Gillespie, Dan; Petzold, Linda
61
2005
Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067
Ascher, Uri M.; Petzold, Linda R.
57
1991
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
56
2003
Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. Zbl 0601.65060
Lötstedt, Per; Petzold, Linda
51
1986
Numerical solution of highly oscillatory ordinary differential equations. Zbl 0887.65072
Petzold, Linda R.; Jay, Laurent O.; Yen, Jeng
49
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.
47
1994
A multiscale measure for mixing. Zbl 1098.37067
Mathew, George; Meziç, Igor; Petzold, Linda
46
2005
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
43
1983
Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084
Petzold, L. R.
43
1986
Optimal control of mixing in Stokes fluid flows. Zbl 1275.76088
Mathew, George; Mezić, Igor; Grivopoulos, Symeon; Vaidya, Umesh; Petzold, Linda
40
2007
The numerical solution of delay-differential-algebraic equations of retarded and neutral type. Zbl 0837.65070
Ascher, Uri M.; Petzold, Linda R.
39
1995
Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056
Maly, Timothy; Petzold, Linda R.
36
1996
Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060
Zhu, Wenjie; Petzold, Linda R.
34
1997
Stability of computational methods for constrained dynamics systems. Zbl 0773.65044
Ascher, Uri M.; Petzold, Linda R.
31
1993
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
30
1983
Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086
Petzold, Linda; Lötstedt, Per
29
1986
Stability of moving mesh systems of partial differential equations. Zbl 0924.65081
Li, Shengtai; Petzold, Linda; Ren, Yuhe
24
1999
Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076
Li, Shengtai; Petzold, Linda
24
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.
22
2005
The numerical solution of higher index differential/algebraic equations by implicit methods. Zbl 0681.65050
Brenan, Kathryn E.; Petzold, Linda R.
22
1989
Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
21
1998
An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053
Petzold, Linda R.
18
1981
Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076
Leimkuhler, B.; Petzold, L. R.; Gear, C. W.
18
1991
Stochastic modelling of gene regulatory networks. Zbl 1090.93002
El Samad, Hana; Khammash, Mustafa; Petzold, Linda; Gillespie, Dan
17
2005
A posteriori error estimation and global error control for ordinary differential equations by the adjoint method. Zbl 1075.65107
Cao, Yang; Petzold, Linda
17
2004
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123
Petzold, Linda R.
16
1987
Numerical solution of boundary value problems in differential-algebraic systems. Zbl 0677.65089
Clark, Kenneth D.; Petzold, Linda R.
15
1989
Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076
Homescu, Chris; Petzold, Linda R.; Serban, Radu
15
2005
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
Runge-Kutta-Chebyshev projection method. Zbl 1103.76048
Zheng, Zheming; Petzold, Linda
14
2006
Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104
Homescu, Chris; Petzold, Linda R.; Serban, Radu
13
2007
Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084
Cao, Yang; Li, Shengtai; Petzold, Linda
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
A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. Zbl 0949.70006
Yen, Jeng; Petzold, Linda; Raha, Soumyendu
13
1998
Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. Zbl 0945.65095
Li, Shengtai; Petzold, Linda; Zhu, Wenjie
13
2000
Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049
Ascher, Uri M.; Petzold, Linda R.
12
1992
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
Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. Zbl 1033.65056
Rathinam, Muruhan; Petzold, Linda R.
12
2002
Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074
Li, Shengtai; Petzold, Linda
12
2000
A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076
Zheng, Zheming; Simeon, Bernd; Petzold, Linda
12
2008
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
12
2008
Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. Zbl 1079.80003
Cao, Yang; Petzold, Linda
11
2006
Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083
Mao, Guiyou; Petzold, L. R.
10
2002
Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089
Li, Shengtai; Petzold, Linda
9
2004
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.
8
2002
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
Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. Zbl 0937.34059
Zhu, Wenjie; Petzold, Linda R.
8
1998
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
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002
Petzold, Linda R.
6
1992
Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048
Petzold, Linda R.
6
1989
Regularization of index-1 differential-algebraic equations with rank-deficient constraints. Zbl 0913.65064
Moore, P. K.; Petzold, L. R.; Ren, Y.
6
1998
Numerical solution of differential-algebraic equations. Zbl 0843.65049
Petzold, Linda R.
6
1995
Regularization of higher-index differential-algebraic equations with rank-deficient constraints. Zbl 0872.65063
Petzold, Linda R.; Ren, Yuhe; Maly, Timothy
6
1997
A subspace error estimate for linear systems. Zbl 1036.65042
Cao, Yang; Petzold, Linda
6
2003
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
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
5
1990
An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. Zbl 1127.78001
Buoni, Matthew; Petzold, Linda
4
2007
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
Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems. Zbl 1062.49506
Serban, Radu; Li, Shengtai; Petzold, Linda R.
4
2003
An error estimate for matrix equations. Zbl 1050.65043
Cao, Yang; Petzold, Linda
4
2004
A model of macroscale deformation and microvibration in skeletal muscle tissue. Zbl 1168.92008
Simeon, Bernd; Serban, Radu; Petzold, Linda R.
4
2009
An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. Zbl 1181.78015
Buoni, Matthew; Petzold, Linda
4
2010
The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. Zbl 1154.65345
Serban, Radu; Homescu, Chris; Petzold, Linda R.
3
2007
Time dependent solution for acceleration of tau-leaping. Zbl 1291.65019
Fu, Jin; Wu, Sheng; Petzold, Linda R.
3
2013
Computational challenges in mechanical systems simulation. Zbl 0874.70002
Petzold, Linda R.
3
1994
Singular implicit ordinary differential equations and constraints. Zbl 0513.65047
Gear, C. W.; Petzold, L. R.
3
1983
Slow-scale tau-leaping method. Zbl 1194.80120
Cao, Yang; Petzold, Linda
3
2008
A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115
Moore, Peter K.; Petzold, Linda R.
2
1994
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
Constraint partitioning for structure in path-constrained dynamic optimization problems. Zbl 0989.65083
Raha, Soumyendu; Petzold, Linda R.
2
2001
Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100
Li, Shentai; Petzold, Linda R.; Hyman, James M.
2
2003
Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065
Raha, Soumyendu; Petzold, Linda R.
2
2001
Efficient computation of sensitivities for ordinary differential equation boundary value problems. Zbl 1016.65051
Serban, Radu; Petzold, Linda R.
2
2002
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
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
Effect of excluded volume on 2D discrete stochastic chemical kinetics. Zbl 1165.80317
Lampoudi, Sotiria; Gillespie, Dan T.; Petzold, Linda R.
1
2009
An arbitrary Lagrangian Eulerian smoothed particle hydrodynamics (ALE-SPH) method with a boundary volume fraction formulation for fluid-structure interaction. Zbl 07371630
Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda
1
2021
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.
1
2021
An arbitrary Lagrangian Eulerian smoothed particle hydrodynamics (ALE-SPH) method with a boundary volume fraction formulation for fluid-structure interaction. Zbl 07371630
Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda
1
2021
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.
1
2021
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.
4
2009
Effect of excluded volume on 2D discrete stochastic chemical kinetics. Zbl 1165.80317
Lampoudi, Sotiria; Gillespie, Dan T.; Petzold, Linda R.
1
2009
A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076
Zheng, Zheming; Simeon, Bernd; Petzold, Linda
12
2008
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
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
40
2007
Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104
Homescu, Chris; Petzold, Linda R.; Serban, Radu
13
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.
3
2007
Runge-Kutta-Chebyshev projection method. Zbl 1103.76048
Zheng, Zheming; Petzold, Linda
14
2006
Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. Zbl 1079.80003
Cao, Yang; Petzold, Linda
11
2006
Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004
Cao, Yang; Gillespie, Dan; Petzold, Linda
61
2005
A multiscale measure for mixing. Zbl 1098.37067
Mathew, George; Meziç, Igor; Petzold, Linda
46
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.
22
2005
Stochastic modelling of gene regulatory networks. Zbl 1090.93002
El Samad, Hana; Khammash, Mustafa; Petzold, Linda; Gillespie, Dan
17
2005
Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076
Homescu, Chris; Petzold, Linda R.; Serban, Radu
15
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
17
2004
Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089
Li, Shengtai; Petzold, Linda
9
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.
82
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
56
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
6
2003
Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems. Zbl 1062.49506
Serban, Radu; Li, Shengtai; Petzold, Linda R.
4
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.
2
2003
Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084
Cao, Yang; Li, Shengtai; Petzold, Linda
13
2002
Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. Zbl 1033.65056
Rathinam, Muruhan; Petzold, Linda R.
12
2002
Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083
Mao, Guiyou; Petzold, L. R.
10
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.
8
2002
Efficient computation of sensitivities for ordinary differential equation boundary value problems. Zbl 1016.65051
Serban, Radu; Petzold, Linda R.
2
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 structure in path-constrained dynamic optimization problems. Zbl 0989.65083
Raha, Soumyendu; Petzold, Linda R.
2
2001
Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065
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
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 analysis of differential-algebraic equations: A comparison of methods on a special problem. Zbl 0945.65095
Li, Shengtai; Petzold, Linda; Zhu, Wenjie
13
2000
Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074
Li, Shengtai; Petzold, Linda
12
2000
Stability of moving mesh systems of partial differential equations. Zbl 0924.65081
Li, Shengtai; Petzold, Linda; Ren, Yuhe
24
1999
Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055
Ascher, Uri M.; Petzold, Linda R.
336
1998
Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079
Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R.
21
1998
A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. Zbl 0949.70006
Yen, Jeng; Petzold, Linda; Raha, Soumyendu
13
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
49
1997
Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060
Zhu, Wenjie; Petzold, Linda R.
34
1997
Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076
Li, Shengtai; Petzold, Linda
24
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.
401
1996
Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056
Maly, Timothy; Petzold, Linda R.
36
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.
39
1995
Numerical solution of differential-algebraic equations. Zbl 0843.65049
Petzold, Linda R.
6
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.
47
1994
Computational challenges in mechanical systems simulation. Zbl 0874.70002
Petzold, Linda R.
3
1994
A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115
Moore, Peter K.; Petzold, Linda R.
2
1994
Stability of computational methods for constrained dynamics systems. Zbl 0773.65044
Ascher, Uri M.; Petzold, Linda R.
31
1993
Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049
Ascher, Uri M.; Petzold, Linda R.
12
1992
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002
Petzold, Linda R.
6
1992
Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067
Ascher, Uri M.; Petzold, Linda R.
57
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
5
1990
Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057
Brenan, K. E.; Campbell, S. L.; Petzold, L. R.
377
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.
15
1989
Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048
Petzold, Linda R.
6
1989
Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123
Petzold, Linda R.
16
1987
Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. Zbl 0601.65060
Lötstedt, Per; Petzold, Linda
51
1986
Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084
Petzold, L. R.
43
1986
Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086
Petzold, Linda; Lötstedt, Per
29
1986
ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053
Gear, C. W.; Petzold, L. R.
99
1984
Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051
Petzold, Linda
86
1983
Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003
Campbell, Stephen L.; Petzold, Linda R.
43
1983
Differential/algebraic systems and matrix pencils. Zbl 0494.65038
Gear, C. W.; Petzold, L. R.
30
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
76
1982
An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053
Petzold, Linda R.
18
1981
all top 5

Cited by 3,086 Authors

40 Petzold, Linda Ruth
37 Campbell, Stephen LaVern
32 März, Roswitha
28 Mehrmann, Volker
19 Simeon, Bernd
18 Riaza, Ricardo
14 Linh, Vu Hoang
13 Kunkel, Peter
12 Arnold, Martin
12 Barton, Paul I.
12 Chistyakov, Viktor Filimonovich
12 Lamour, René
12 Moore, Peter K.
12 Shcheglova, Alla Arkad’evna
11 Lötstedt, Per
10 Hellander, Andreas
10 Jiang, Yaolin
10 Tischendorf, Caren
9 Bayram, Mustafa
9 Çelik, Ercan
9 Shadid, John N.
8 Altmann, Robert
8 Bulatov, Mikhail Valer’yanovich
8 Cao, Yang
8 Chistyakova, Elena Viktorovna
8 Engblom, Stefan
8 Froyland, Gary
8 Huang, Jingfang
8 Jay, Laurent-Olivier
8 Lubich, Christian
8 Luo, Xinlong
7 Ascher, Uri M.
7 Betsch, Peter
7 Betts, John T.
7 Blajer, Wojciech
7 Estévez Schwarz, Diana
7 Gerdts, Matthias
7 Hanke, Michael
7 Higueras, Inmaculada
7 Hoang, Manh Tuan
7 Mezić, Igor
7 Paternoster, Beatrice
7 Petrenko, Pavel Sergeevich
7 Pryce, John D.
7 Rang, Joachim
7 Rheinboldt, Werner C.
7 Sandu, Adrian
7 Song, Yongzhong
7 Stechlinski, Peter G.
7 Tian, Hongjiong
6 Benner, Peter
6 Brugnano, Luigi
6 Brüls, Olivier
6 Carlberg, Kevin T.
6 Chaudhry, Jehanzeb Hameed
6 Farhat, Charbel H.
6 Hu, Weiwei
6 Li, Shengtai
6 Mazzia, Francesca
6 Murua, Ander
6 Pulch, Roland
6 Pytlak, Radosław
6 Raha, Soumyendu
6 Ramos, Higinio
6 Shampine, Lawrence Fred
6 Soheili, Ali Reza
6 Verwer, Jan G.
6 Wei, Yimin
5 Baker, Christopher Thomas Hale
5 Barone, Matthew F.
5 Berzins, Martin
5 Budd, Christopher John
5 Chacón, Luis
5 Chartier, Philippe
5 Clark, Kenneth D.
5 D’Ambrosio, Raffaele
5 Doering, Charles Rogers
5 Engquist, Bjorn E.
5 Gasparo, Maria Grazia
5 Gear, Charles William
5 Hartmann, Stefan
5 Iwata, Satoru
5 Jahnke, Tobias
5 Kiehl, Martin
5 Macconi, Maria
5 Marszałek, Wiesław
5 Muir, Paul H.
5 Nakshatrala, K. B.
5 Nedialkov, Nedialko S.
5 Seiler, Werner M.
5 Serban, Radu
5 Söderlind, Gustaf
5 Solovarova, Lyubov’ Stepanovna
5 Takamatsu, Mizuyo
5 Tan, Guangning
5 ter Maten, E. Jan W.
5 Vajravelu, Kuppalapalle
5 van Gorder, Robert Ashton
5 Veerapaneni, Shravan Kumar
5 Volkwein, Stefan
...and 2,986 more Authors
all top 5

Cited in 298 Serials

143 Journal of Computational Physics
122 Applied Numerical Mathematics
118 Journal of Computational and Applied Mathematics
105 Applied Mathematics and Computation
75 Computer Methods in Applied Mechanics and Engineering
52 Multibody System Dynamics
44 Computers & Mathematics with Applications
39 BIT
31 International Journal for Numerical Methods in Engineering
31 Mathematics and Computers in Simulation
31 Linear Algebra and its Applications
28 Automatica
27 Numerische Mathematik
27 Numerical Algorithms
27 SIAM Journal on Scientific Computing
23 Journal of Fluid Mechanics
22 Journal of Scientific Computing
19 Bulletin of Mathematical Biology
19 Physica D
18 Journal of Optimization Theory and Applications
17 Mathematics of Computation
17 Circuits, Systems, and Signal Processing
17 International Journal of Computer Mathematics
17 Journal of Theoretical Biology
16 Journal of the Franklin Institute
16 Journal of Mathematical Analysis and Applications
16 Nonlinear Dynamics
15 Computers and Fluids
15 Physics of Fluids
15 Mathematical and Computer Modelling of Dynamical Systems
13 Systems & Control Letters
12 International Journal of Control
12 Computational Mechanics
12 Mathematical and Computer Modelling
12 Applied Mathematical Modelling
12 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
12 Chaos
10 SIAM Journal on Numerical Analysis
10 Applied Mathematics Letters
10 Communications in Nonlinear Science and Numerical Simulation
9 Chaos, Solitons and Fractals
9 Computing
9 Journal of Differential Equations
9 Journal of Mathematical Sciences (New York)
9 Combustion Theory and Modelling
8 Journal of Mathematical Biology
8 Mathematical Biosciences
8 MCSS. Mathematics of Control, Signals, and Systems
8 International Journal of Robust and Nonlinear Control
8 Journal of Applied Mathematics and Computing
7 Computer Physics Communications
7 International Journal for Numerical Methods in Fluids
7 Computational Optimization and Applications
7 Computational and Applied Mathematics
7 Advances in Computational Mathematics
7 Mathematical Problems in Engineering
7 Optimization Methods & Software
7 Computational Geosciences
7 Multiscale Modeling & Simulation
6 SIAM Journal on Control and Optimization
6 SIAM Journal on Matrix Analysis and Applications
6 Journal of Nonlinear Science
6 Numerical Linear Algebra with Applications
6 Differential Equations
6 SIAM Journal on Applied Dynamical Systems
6 SIAM/ASA Journal on Uncertainty Quantification
5 Siberian Mathematical Journal
5 Journal of Economic Dynamics & Control
5 Russian Mathematics
5 ETNA. Electronic Transactions on Numerical Analysis
5 Journal of Mathematical Chemistry
5 Discrete Dynamics in Nature and Society
5 Optimization and Engineering
5 Journal of Applied Mathematics
5 Advances in Difference Equations
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 Nonlinear Analysis. Hybrid Systems
5 Numerical Algebra, Control and Optimization
4 International Journal of Heat and Mass Transfer
4 International Journal of Systems Science
4 Journal of Engineering Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Calcolo
4 Results in Mathematics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Computational Mathematics and Mathematical Physics
4 Automation and Remote Control
4 SIAM Review
4 Journal of Dynamics and Differential Equations
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Abstract and Applied Analysis
4 European Journal of Mechanics. A. Solids
4 Journal of Numerical Mathematics
4 International Journal of Computational Methods
4 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
4 Journal of Computational Dynamics
4 International Journal of Applied and Computational Mathematics
4 International Journal of Systems Science. Principles and Applications of Systems and Integration
3 Inverse Problems
3 Mathematical Methods in the Applied Sciences
...and 198 more Serials
all top 5

Cited in 47 Fields

1,086 Numerical analysis (65-XX)
616 Ordinary differential equations (34-XX)
278 Fluid mechanics (76-XX)
258 Partial differential equations (35-XX)
225 Systems theory; control (93-XX)
196 Biology and other natural sciences (92-XX)
176 Mechanics of particles and systems (70-XX)
138 Calculus of variations and optimal control; optimization (49-XX)
129 Mechanics of deformable solids (74-XX)
106 Dynamical systems and ergodic theory (37-XX)
93 Probability theory and stochastic processes (60-XX)
70 Classical thermodynamics, heat transfer (80-XX)
64 Computer science (68-XX)
58 Operations research, mathematical programming (90-XX)
46 Linear and multilinear algebra; matrix theory (15-XX)
41 Statistics (62-XX)
38 Information and communication theory, circuits (94-XX)
33 Statistical mechanics, structure of matter (82-XX)
32 Optics, electromagnetic theory (78-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
21 Integral equations (45-XX)
21 Geophysics (86-XX)
11 Operator theory (47-XX)
10 Combinatorics (05-XX)
10 Real functions (26-XX)
8 Difference and functional equations (39-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Quantum theory (81-XX)
5 General and overarching topics; collections (00-XX)
5 Commutative algebra (13-XX)
5 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Astronomy and astrophysics (85-XX)
3 Differential geometry (53-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 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Functional analysis (46-XX)
1 Convex and discrete geometry (52-XX)
1 Algebraic topology (55-XX)

Citations by Year

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