Edit Profile (opens in new tab) Petzold, Linda Ruth Compute Distance To: Compute Author ID: petzold.linda-ruth Published as: Petzold, Linda R.; Petzold, Linda; Petzold, L. R.; Petzold, Linda Ruth; Petzold, L. more...less External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 104 Publications since 1981, including 4 Books 3 Contributions as Editor Co-Authors: 104 Co-Authors with 93 Joint Publications 2,532 Co-Co-Authors 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 all top 5 Serials 16 Journal of Computational Physics 12 SIAM Journal on Numerical Analysis 11 SIAM Journal on Scientific Computing 10 Applied Numerical Mathematics 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Scientific and Statistical Computing 3 Computers & Mathematics with Applications 3 Computer Methods in Applied Mechanics and Engineering 3 Physica D 2 Mathematics and Computers in Simulation 2 SIAM Review 1 Journal of Fluid Mechanics 1 Mathematics of Computation 1 Bulletin of Mathematical Biology 1 Journal of Guidance, Control and Dynamics 1 Automatica 1 IEEE Transactions on Automatic Control 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Algebraic and Discrete Methods 1 SIAM Journal on Matrix Analysis and Applications 1 Neural Computation 1 International Journal of Robust and Nonlinear Control 1 Engineering Analysis with Boundary Elements 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik 1 Classics in Applied Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 Bayesian Analysis all top 5 Fields 79 Numerical analysis (65-XX) 50 Ordinary differential equations (34-XX) 11 Partial differential equations (35-XX) 11 Mechanics of particles and systems (70-XX) 11 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Fluid mechanics (76-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Systems theory; control (93-XX) 3 Mechanics of deformable solids (74-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 0844.65058Brenan, K. E.; Campbell, S. L.; Petzold, L. R. 401 1996 Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057Brenan, K. E.; Campbell, S. L.; Petzold, L. R. 377 1989 Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055Ascher, Uri M.; Petzold, Linda R. 336 1998 ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053Gear, C. W.; Petzold, L. R. 99 1984 Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051Petzold, Linda 86 1983 A new look at proper orthogonal decomposition. Zbl 1053.65106Rathinam, Muruhan; Petzold, Linda R. 82 2003 Differential/algebraic equations are not ODE’s. Zbl 0482.65041Petzold, Linda 76 1982 Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004Cao, Yang; Gillespie, Dan; Petzold, Linda 61 2005 Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067Ascher, Uri M.; Petzold, Linda R. 57 1991 Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution. Zbl 1034.65066Cao, 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 0601.65060Lötstedt, Per; Petzold, Linda 51 1986 Numerical solution of highly oscillatory ordinary differential equations. Zbl 0887.65072Petzold, Linda R.; Jay, Laurent O.; Yen, Jeng 49 1997 Using Krylov methods in the solution of large-scale differential-algebraic systems. Zbl 0812.65060Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. 47 1994 A multiscale measure for mixing. Zbl 1098.37067Mathew, George; Meziç, Igor; Petzold, Linda 46 2005 Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003Campbell, Stephen L.; Petzold, Linda R. 43 1983 Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084Petzold, L. R. 43 1986 Optimal control of mixing in Stokes fluid flows. Zbl 1275.76088Mathew, 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 0837.65070Ascher, Uri M.; Petzold, Linda R. 39 1995 Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056Maly, Timothy; Petzold, Linda R. 36 1996 Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060Zhu, Wenjie; Petzold, Linda R. 34 1997 Stability of computational methods for constrained dynamics systems. Zbl 0773.65044Ascher, Uri M.; Petzold, Linda R. 31 1993 Differential/algebraic systems and matrix pencils. Zbl 0494.65038Gear, C. W.; Petzold, L. R. 30 1983 Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086Petzold, Linda; Lötstedt, Per 29 1986 Stability of moving mesh systems of partial differential equations. Zbl 0924.65081Li, Shengtai; Petzold, Linda; Ren, Yuhe 24 1999 Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076Li, Shengtai; Petzold, Linda 24 1997 Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T. 22 2005 The numerical solution of higher index differential/algebraic equations by implicit methods. Zbl 0681.65050Brenan, Kathryn E.; Petzold, Linda R. 22 1989 Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. 21 1998 An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053Petzold, Linda R. 18 1981 Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076Leimkuhler, B.; Petzold, L. R.; Gear, C. W. 18 1991 Stochastic modelling of gene regulatory networks. Zbl 1090.93002El 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 1075.65107Cao, Yang; Petzold, Linda 17 2004 Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123Petzold, Linda R. 16 1987 Numerical solution of boundary value problems in differential-algebraic systems. Zbl 0677.65089Clark, Kenneth D.; Petzold, Linda R. 15 1989 Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076Homescu, Chris; Petzold, Linda R.; Serban, Radu 15 2005 An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085Hyman, J. M.; Li, Shengtai; Petzold, L. R. 14 2003 Runge-Kutta-Chebyshev projection method. Zbl 1103.76048Zheng, Zheming; Petzold, Linda 14 2006 Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104Homescu, Chris; Petzold, Linda R.; Serban, Radu 13 2007 Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084Cao, Yang; Li, Shengtai; Petzold, Linda 13 2002 An SQP method for the optimal control of large-scale dynamical systems. Zbl 0963.65071Gill, 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 0949.70006Yen, Jeng; Petzold, Linda; Raha, Soumyendu 13 1998 Sensitivity analysis of differential-algebraic equations: A comparison of methods on a special problem. Zbl 0945.65095Li, Shengtai; Petzold, Linda; Zhu, Wenjie 13 2000 Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049Ascher, Uri M.; Petzold, Linda R. 12 1992 Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method. Zbl 1061.76072Zhu, 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 1033.65056Rathinam, Muruhan; Petzold, Linda R. 12 2002 Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074Li, Shengtai; Petzold, Linda 12 2000 A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076Zheng, Zheming; Simeon, Bernd; Petzold, Linda 12 2008 Sensitivity measures for oscillating systems: application to mammalian circadian gene network. Zbl 1366.92018Taylor, 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 1079.80003Cao, Yang; Petzold, Linda 11 2006 Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083Mao, Guiyou; Petzold, L. R. 10 2002 Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089Li, Shengtai; Petzold, Linda 9 2004 Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388Serban, 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 1297.92032Sturrock, 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 0937.34059Zhu, Wenjie; Petzold, Linda R. 8 1998 Local error estimates for adaptive simulation of the reaction-diffusion master equation via operator splitting. Zbl 1296.65121Hellander, Andreas; Lawson, Michael J.; Drawert, Brian; Petzold, Linda 7 2014 ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002Petzold, Linda R.; Potra, Florian A. 6 1992 Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002Petzold, Linda R. 6 1992 Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048Petzold, Linda R. 6 1989 Regularization of index-1 differential-algebraic equations with rank-deficient constraints. Zbl 0913.65064Moore, P. K.; Petzold, L. R.; Ren, Y. 6 1998 Numerical solution of differential-algebraic equations. Zbl 0843.65049Petzold, Linda R. 6 1995 Regularization of higher-index differential-algebraic equations with rank-deficient constraints. Zbl 0872.65063Petzold, Linda R.; Ren, Yuhe; Maly, Timothy 6 1997 A subspace error estimate for linear systems. Zbl 1036.65042Cao, Yang; Petzold, Linda 6 2003 An efficient Newton-type iteration for the numerical solution of highly oscillatory constrained multibody dynamic systems. Zbl 0915.65080Yen, Jeng; Petzold, Linda R. 5 1998 COOPT – a software package for optimal control of large-scale differential-algebraic equation systems. Zbl 1026.93004Serban, 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 0708.65069Burrage, Kevin; Petzold, Linda 5 1990 An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. Zbl 1127.78001Buoni, Matthew; Petzold, Linda 4 2007 Methods and software for differential-algebraic systems. Zbl 0763.65057Petzold, Linda R. 4 1991 Numerical optimal control of parabolic PDEs using DASOPT. Zbl 0884.65065Petzold, 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 1062.49506Serban, Radu; Li, Shengtai; Petzold, Linda R. 4 2003 An error estimate for matrix equations. Zbl 1050.65043Cao, Yang; Petzold, Linda 4 2004 A model of macroscale deformation and microvibration in skeletal muscle tissue. Zbl 1168.92008Simeon, Bernd; Serban, Radu; Petzold, Linda R. 4 2009 An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. Zbl 1181.78015Buoni, Matthew; Petzold, Linda 4 2010 The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. Zbl 1154.65345Serban, Radu; Homescu, Chris; Petzold, Linda R. 3 2007 Time dependent solution for acceleration of tau-leaping. Zbl 1291.65019Fu, Jin; Wu, Sheng; Petzold, Linda R. 3 2013 Computational challenges in mechanical systems simulation. Zbl 0874.70002Petzold, Linda R. 3 1994 Singular implicit ordinary differential equations and constraints. Zbl 0513.65047Gear, C. W.; Petzold, L. R. 3 1983 Slow-scale tau-leaping method. Zbl 1194.80120Cao, Yang; Petzold, Linda 3 2008 A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115Moore, Peter K.; Petzold, Linda R. 2 1994 The time dependent propensity function for acceleration of spatial stochastic simulation of reaction-diffusion systems. Zbl 1351.82007Fu, Jin; Wu, Sheng; Li, Hong; Petzold, Linda R. 2 2014 Constraint partitioning for structure in path-constrained dynamic optimization problems. Zbl 0989.65083Raha, Soumyendu; Petzold, Linda R. 2 2001 Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100Li, Shentai; Petzold, Linda R.; Hyman, James M. 2 2003 Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065Raha, Soumyendu; Petzold, Linda R. 2 2001 Efficient computation of sensitivities for ordinary differential equation boundary value problems. Zbl 1016.65051Serban, Radu; Petzold, Linda R. 2 2002 An exact and efficient first passage time algorithm for reaction-diffusion processes on a 2D-lattice. Zbl 1349.65006Bezzola, Andri; Bales, Benjamin B.; Alkire, Richard C.; Petzold, Linda R. 1 2014 Computational challenges in the solution of nonlinear oscillatory multibody dynamics systems. Zbl 0856.70006Yen, Jeng; Petzold, L. R. 1 1996 Variational optimisation by the solution of a series of Hamilton-Jacobi equations. Zbl 0978.49024Venkatesh, 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 1165.80317Lampoudi, 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 07371630Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda 1 2021 Bayesian inference over the Stiefel manifold via the Givens representation. Zbl 1493.62133Pourzanjani, 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 07371630Jacob, Bruno; Drawert, Brian; Yi, Tau-Mu; Petzold, Linda 1 2021 Bayesian inference over the Stiefel manifold via the Givens representation. Zbl 1493.62133Pourzanjani, 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 1297.92032Sturrock, 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 1296.65121Hellander, 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 1351.82007Fu, 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 1349.65006Bezzola, Andri; Bales, Benjamin B.; Alkire, Richard C.; Petzold, Linda R. 1 2014 Time dependent solution for acceleration of tau-leaping. Zbl 1291.65019Fu, Jin; Wu, Sheng; Petzold, Linda R. 3 2013 An algorithm for simulation of electrochemical systems with surface-bulk coupling strategies. Zbl 1181.78015Buoni, Matthew; Petzold, Linda 4 2010 A model of macroscale deformation and microvibration in skeletal muscle tissue. Zbl 1168.92008Simeon, Bernd; Serban, Radu; Petzold, Linda R. 4 2009 Effect of excluded volume on 2D discrete stochastic chemical kinetics. Zbl 1165.80317Lampoudi, Sotiria; Gillespie, Dan T.; Petzold, Linda R. 1 2009 A stabilized explicit Lagrange multiplier based domain decomposition method for parabolic problems. Zbl 1142.65076Zheng, Zheming; Simeon, Bernd; Petzold, Linda 12 2008 Sensitivity measures for oscillating systems: application to mammalian circadian gene network. Zbl 1366.92018Taylor, Stephanie R.; Gunawan, Rudiyanto; Petzold, Linda R.; Doyle, Francis J. III 12 2008 Slow-scale tau-leaping method. Zbl 1194.80120Cao, Yang; Petzold, Linda 3 2008 Optimal control of mixing in Stokes fluid flows. Zbl 1275.76088Mathew, George; Mezić, Igor; Grivopoulos, Symeon; Vaidya, Umesh; Petzold, Linda 40 2007 Error estimation for reduced-order models of dynamical systems. Zbl 1117.65104Homescu, Chris; Petzold, Linda R.; Serban, Radu 13 2007 An efficient, scalable numerical algorithm for the simulation of electrochemical systems on irregular domains. Zbl 1127.78001Buoni, Matthew; Petzold, Linda 4 2007 The effect of problem perturbations on nonlinear dynamical systems and their reduced-order models. Zbl 1154.65345Serban, Radu; Homescu, Chris; Petzold, Linda R. 3 2007 Runge-Kutta-Chebyshev projection method. Zbl 1103.76048Zheng, Zheming; Petzold, Linda 14 2006 Accuracy limitations and the measurement of errors in the stochastic simulation of chemically reacting systems. Zbl 1079.80003Cao, Yang; Petzold, Linda 11 2006 Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems. Zbl 1088.80004Cao, Yang; Gillespie, Dan; Petzold, Linda 61 2005 A multiscale measure for mixing. Zbl 1098.37067Mathew, George; Meziç, Igor; Petzold, Linda 46 2005 Consistency and stability of tau-leaping schemes for chemical reaction systems. Zbl 1089.60516Rathinam, Muruhan; Petzold, Linda R.; Cao, Yang; Gillespie, Daniel T. 22 2005 Stochastic modelling of gene regulatory networks. Zbl 1090.93002El Samad, Hana; Khammash, Mustafa; Petzold, Linda; Gillespie, Dan 17 2005 Error estimation for reduced-order models of dynamical systems. Zbl 1096.65076Homescu, Chris; Petzold, Linda R.; Serban, Radu 15 2005 Simulation of fluid slip at 3D hydrophobic microchannel walls by the lattice Boltzmann method. Zbl 1061.76072Zhu, 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 1075.65107Cao, Yang; Petzold, Linda 17 2004 Adjoint sensitivity analysis for time-dependent partial differential equations with adaptive mesh refinement. Zbl 1052.65089Li, Shengtai; Petzold, Linda 9 2004 An error estimate for matrix equations. Zbl 1050.65043Cao, Yang; Petzold, Linda 4 2004 A new look at proper orthogonal decomposition. Zbl 1053.65106Rathinam, Muruhan; Petzold, Linda R. 82 2003 Adjoint sensitivity analysis for differential-algebraic equations: The adjoint DAE system and its numerical solution. Zbl 1034.65066Cao, Yang; Li, Shengtai; Petzold, Linda; Serban, Radu 56 2003 An adaptive moving mesh method with static rezoning for partial differential equations. Zbl 1051.65085Hyman, J. M.; Li, Shengtai; Petzold, L. R. 14 2003 A subspace error estimate for linear systems. Zbl 1036.65042Cao, Yang; Petzold, Linda 6 2003 Adaptive algorithms for optimal control of time-dependent partial differential-algebraic equation systems. Zbl 1062.49506Serban, Radu; Li, Shengtai; Petzold, Linda R. 4 2003 Solution adapted mesh refinement and sensitivity analysis for parabolic partial differential equation systems. Zbl 1062.65100Li, Shentai; Petzold, Linda R.; Hyman, James M. 2 2003 Adjoint sensitivity analysis for differential-algebraic equations: algorithms and software. Zbl 1013.65084Cao, Yang; Li, Shengtai; Petzold, Linda 13 2002 Dynamic iteration using reduced order models: A method for simulation of large scale modular systems. Zbl 1033.65056Rathinam, Muruhan; Petzold, Linda R. 12 2002 Efficient integration over discontinuities for differential-algebraic systems. Zbl 0999.65083Mao, Guiyou; Petzold, L. R. 10 2002 Halo orbit mission correction maneuvers using optimal control. Zbl 1172.93388Serban, 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 1016.65051Serban, Radu; Petzold, Linda R. 2 2002 COOPT – a software package for optimal control of large-scale differential-algebraic equation systems. Zbl 1026.93004Serban, Radu; Petzold, Linda R. 5 2001 Constraint partitioning for structure in path-constrained dynamic optimization problems. Zbl 0989.65083Raha, Soumyendu; Petzold, Linda R. 2 2001 Constraint partitioning for stability in path-constrained dynamic optimization problems. Zbl 0988.65065Raha, Soumyendu; Petzold, Linda R. 2 2001 Variational optimisation by the solution of a series of Hamilton-Jacobi equations. Zbl 0978.49024Venkatesh, 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 0963.65071Gill, 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 0945.65095Li, Shengtai; Petzold, Linda; Zhu, Wenjie 13 2000 Software and algorithms for sensitivity analysis of large-scale differential algebraic systems. Zbl 0971.65074Li, Shengtai; Petzold, Linda 12 2000 Stability of moving mesh systems of partial differential equations. Zbl 0924.65081Li, Shengtai; Petzold, Linda; Ren, Yuhe 24 1999 Computer methods for ordinary differential equations and differential-algebraic equations. Zbl 0908.65055Ascher, Uri M.; Petzold, Linda R. 336 1998 Consistent initial condition calculation for differential-algebraic systems. Zbl 0915.65079Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. 21 1998 A time integration algorithm for flexible mechanism dynamics: The DAE \(\alpha\)-method. Zbl 0949.70006Yen, Jeng; Petzold, Linda; Raha, Soumyendu 13 1998 Asymptotic stability of Hessenberg delay differential-algebraic equations of retarded or neutral type. Zbl 0937.34059Zhu, Wenjie; Petzold, Linda R. 8 1998 Regularization of index-1 differential-algebraic equations with rank-deficient constraints. Zbl 0913.65064Moore, 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 0915.65080Yen, Jeng; Petzold, Linda R. 5 1998 Numerical solution of highly oscillatory ordinary differential equations. Zbl 0887.65072Petzold, Linda R.; Jay, Laurent O.; Yen, Jeng 49 1997 Asymptotic stability of linear delay differential-algebraic equations and numerical methods. Zbl 0879.65060Zhu, Wenjie; Petzold, Linda R. 34 1997 Moving mesh methods with upwinding schemes for time-dependent PDEs. Zbl 0870.65076Li, Shengtai; Petzold, Linda 24 1997 Regularization of higher-index differential-algebraic equations with rank-deficient constraints. Zbl 0872.65063Petzold, Linda R.; Ren, Yuhe; Maly, Timothy 6 1997 Numerical optimal control of parabolic PDEs using DASOPT. Zbl 0884.65065Petzold, 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 0844.65058Brenan, K. E.; Campbell, S. L.; Petzold, L. R. 401 1996 Numerical methods and software for sensitivity analysis of differential-algebraic systems. Zbl 0854.65056Maly, Timothy; Petzold, Linda R. 36 1996 Computational challenges in the solution of nonlinear oscillatory multibody dynamics systems. Zbl 0856.70006Yen, Jeng; Petzold, L. R. 1 1996 The numerical solution of delay-differential-algebraic equations of retarded and neutral type. Zbl 0837.65070Ascher, Uri M.; Petzold, Linda R. 39 1995 Numerical solution of differential-algebraic equations. Zbl 0843.65049Petzold, Linda R. 6 1995 Using Krylov methods in the solution of large-scale differential-algebraic systems. Zbl 0812.65060Brown, Peter N.; Hindmarsh, Alan C.; Petzold, Linda R. 47 1994 Computational challenges in mechanical systems simulation. Zbl 0874.70002Petzold, Linda R. 3 1994 A stepsize control strategy for stiff systems of ordinary differential equations. Zbl 0819.65115Moore, Peter K.; Petzold, Linda R. 2 1994 Stability of computational methods for constrained dynamics systems. Zbl 0773.65044Ascher, Uri M.; Petzold, Linda R. 31 1993 Projected collocation for higher-order higher-index differential- algebraic equations. Zbl 0772.65049Ascher, Uri M.; Petzold, Linda R. 12 1992 ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002Petzold, Linda R.; Potra, Florian A. 6 1992 Numerical solution of differential-algebraic equations in mechanical systems simulation. Zbl 0779.70002Petzold, Linda R. 6 1992 Projected implicit Runge-Kutta methods for differential-algebraic equations. Zbl 0732.65067Ascher, Uri M.; Petzold, Linda R. 57 1991 Approximation methods for the consistent initialization of differential- algebraic equations. Zbl 0725.65076Leimkuhler, B.; Petzold, L. R.; Gear, C. W. 18 1991 Methods and software for differential-algebraic systems. Zbl 0763.65057Petzold, Linda R. 4 1991 On order reduction for Runge-Kutta methods applied to differential/algebraic systems and to stiff systems of ODEs. Zbl 0708.65069Burrage, Kevin; Petzold, Linda 5 1990 Numerical solution of initial-value problems in differential-algebraic equations. Zbl 0699.65057Brenan, K. E.; Campbell, S. L.; Petzold, L. R. 377 1989 The numerical solution of higher index differential/algebraic equations by implicit methods. Zbl 0681.65050Brenan, Kathryn E.; Petzold, Linda R. 22 1989 Numerical solution of boundary value problems in differential-algebraic systems. Zbl 0677.65089Clark, Kenneth D.; Petzold, Linda R. 15 1989 Recent developments in the numerical solution of differential/algebraic systems. Zbl 0695.65048Petzold, Linda R. 6 1989 Observations on an adaptive moving grid method for one-dimensional systems of partial differential equations. Zbl 0621.65123Petzold, Linda R. 16 1987 Numerical solution of nonlinear differential equations with algebraic constraints. I: Convergence results for backward differentiation formulas. Zbl 0601.65060Lötstedt, Per; Petzold, Linda 51 1986 Order results for implicit Runge-Kutta methods applied to differential/algebraic systems. Zbl 0635.65084Petzold, L. R. 43 1986 Numerical solution of nonlinear differential equations with algebraic constraints. II: Practical implications. Zbl 0632.65086Petzold, Linda; Lötstedt, Per 29 1986 ODE methods for the solution of differential/algebraic systems. Zbl 0557.65053Gear, C. W.; Petzold, L. R. 99 1984 Automatic selection of methods for solving stiff and nonstiff systems of ordinary differential equations. Zbl 0518.65051Petzold, Linda 86 1983 Canonical forms and solvable singular systems of differential equations. Zbl 0524.34003Campbell, Stephen L.; Petzold, Linda R. 43 1983 Differential/algebraic systems and matrix pencils. Zbl 0494.65038Gear, C. W.; Petzold, L. R. 30 1983 Singular implicit ordinary differential equations and constraints. Zbl 0513.65047Gear, C. W.; Petzold, L. R. 3 1983 Differential/algebraic equations are not ODE’s. Zbl 0482.65041Petzold, Linda 76 1982 An efficient numerical method for highly oscillatory ordinary differential equations. Zbl 0474.65053Petzold, Linda R. 18 1981 all cited Publications top 5 cited Publications 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 Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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