## Sidje, Roger B.

Compute Distance To:
 Author ID: sidje.roger-b Published as: Sidje, Roger B.; Sidje, R. B.; Sidje, Roger
 Documents Indexed: 33 Publications since 1995 1 Contribution as Editor Co-Authors: 23 Co-Authors with 30 Joint Publications 425 Co-Co-Authors
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### Co-Authors

 4 single-authored 9 Burrage, Kevin 6 Hoang, Nguyen Si 3 MacNamara, Shev F. 3 Sadkane, Miloud 3 Vo, Huy D. 2 Cong, Nguyen Huu 2 Philippe, Bernard J. 2 Saad, Yousef 1 Altas, Irfan 1 Bertalan, Tom S. 1 Carlson, Eric S. 1 Christen, Peter 1 Dinh, Khanh N. 1 Eldershaw, Craig 1 Hegland, Markus 1 Islam, Akand W. 1 Nguyen, Hoang Si 1 Reid, Brandon M. 1 Roberts, Stephen Gwyn 1 Sheehan, Bernard N. 1 Stewart, William J. 1 Williams, Alan B. 1 Winkles, Nathan
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### Serials

 4 BIT 4 Numerical Linear Algebra with Applications 4 The ANZIAM Journal 3 Journal of Computational and Applied Mathematics 3 Numerical Algorithms 2 Mathematical Biosciences 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Statistics and Data Analysis 1 SIAM Journal on Scientific Computing 1 ETNA. Electronic Transactions on Numerical Analysis 1 Multiscale Modeling & Simulation
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### Fields

 30 Numerical analysis (65-XX) 6 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Biology and other natural sciences (92-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 350 times in 298 Documents Cited by Year
Expokit: A software package for computing matrix exponentials. Zbl 0917.65063
Sidje, Roger B.
1998
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B.
2008
Analysis of trigonometric implicit Runge-Kutta methods. Zbl 1106.65063
Nguyen, Hoang Si; Sidje, Roger B.; Cong, Nguyen Huu
2007
A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508
Sidje, Roger B.; Stewart, William J.
1999
Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300
Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev
2007
On functionally-fitted Runge-Kutta methods. Zbl 1108.65076
Hoang, Nguyen Si; Sidje, Roger B.; Cong, Nguyen Huu
2006
Approximating the large sparse matrix exponential using incomplete orthogonalization and Krylov subspaces of variable dimension. Zbl 1424.65063
Vo, Huy D.; Sidje, Roger B.
2017
Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm. Zbl 1351.92018
Sidje, R. B.; Vo, H. D.
2015
Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. Zbl 0940.65039
1999
Computing $$exp(-\tau A) b$$ with Laguerre polynomials. Zbl 1205.65165
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B.
2010
On the simultaneous tridiagonalization of two symmetric matrices. Zbl 1221.65107
Sidje, Roger B.
2011
Evaluation of the performance of inexact GMRES. Zbl 1209.65040
Sidje, Roger B.; Winkles, Nathan
2011
Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026
2011
On the stability of functionally fitted Runge-Kutta methods. Zbl 1143.65066
Hoang, Nguyen Si; Sidje, Roger B.
2008
Fast generalized cross validation using Krylov subspace methods. Zbl 1157.65012
Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin
2008
Functionally fitted Runge-Kutta-Nyström methods. Zbl 1359.65114
Hoang, N. S.; Sidje, Roger B.
2016
Inexact uniformization and GMRES methods for large Markov chains. Zbl 1265.65011
Sidje, R. B.
2011
QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. Zbl 1081.65040
Sidje, Roger B.; Burrage, K.
2005
Alternatives for parallel Krylov subspace basis computation. Zbl 0889.65029
Sidje, R. B.
1997
An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications. Zbl 1334.92475
MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B.
2007
Transient solutions of Markov processes by Krylov subspaces. Zbl 0862.60056
Philippe, Bernard; Sidje, Roger B.
1995
A parallel matrix-free implementation of a Runge-Kutta code. Zbl 1193.65118
Burrage, Kevin; Eldershaw, Craig; Sidje, Roger
1999
Functionally fitted explicit pseudo two-step Runge-Kutta methods. Zbl 1158.65050
Hoang, Nguyen S.; Sidje, Roger B.
2009
Implementation of variable parameters in the Krylov-based finite state projection for solving the chemical master equation. Zbl 1411.65070
Vo, H. D.; Sidje, R. B.
2017
On the equivalence of the continuous Adams-Bashforth method and Nordsieck’s technique for changing the step size. Zbl 1308.65120
Hoang, N. S.; Sidje, R. B.
2013
Efficient computation of the spectral projections of regular matrix pairs. Zbl 1332.65060
2016
On the stability function of functionally fitted Runge-Kutta methods. Zbl 1337.65078
Sidje, Roger B.; Hoang, Nguyen S.
2007
Analysis of inexact Krylov subspace methods for approximating the matrix exponential. Zbl 07313838
Dinh, Khanh N.; Sidje, Roger B.
2017
An alternating maximization method for approximating the hump of the matrix exponential. Zbl 1378.65097
2017
Approximating the large sparse matrix exponential using incomplete orthogonalization and Krylov subspaces of variable dimension. Zbl 1424.65063
Vo, Huy D.; Sidje, Roger B.
2017
Implementation of variable parameters in the Krylov-based finite state projection for solving the chemical master equation. Zbl 1411.65070
Vo, H. D.; Sidje, R. B.
2017
Analysis of inexact Krylov subspace methods for approximating the matrix exponential. Zbl 07313838
Dinh, Khanh N.; Sidje, Roger B.
2017
An alternating maximization method for approximating the hump of the matrix exponential. Zbl 1378.65097
2017
Functionally fitted Runge-Kutta-Nyström methods. Zbl 1359.65114
Hoang, N. S.; Sidje, Roger B.
2016
Efficient computation of the spectral projections of regular matrix pairs. Zbl 1332.65060
2016
Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm. Zbl 1351.92018
Sidje, R. B.; Vo, H. D.
2015
On the equivalence of the continuous Adams-Bashforth method and Nordsieck’s technique for changing the step size. Zbl 1308.65120
Hoang, N. S.; Sidje, R. B.
2013
On the simultaneous tridiagonalization of two symmetric matrices. Zbl 1221.65107
Sidje, Roger B.
2011
Evaluation of the performance of inexact GMRES. Zbl 1209.65040
Sidje, Roger B.; Winkles, Nathan
2011
Rational approximation to the Fermi-Dirac function with applications in density functional theory. Zbl 1211.65026
2011
Inexact uniformization and GMRES methods for large Markov chains. Zbl 1265.65011
Sidje, R. B.
2011
Computing $$exp(-\tau A) b$$ with Laguerre polynomials. Zbl 1205.65165
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B.
2010
Functionally fitted explicit pseudo two-step Runge-Kutta methods. Zbl 1158.65050
Hoang, Nguyen S.; Sidje, Roger B.
2009
Multiscale modeling of chemical kinetics via the master equation. Zbl 1153.60370
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B.
2008
On the stability of functionally fitted Runge-Kutta methods. Zbl 1143.65066
Hoang, Nguyen Si; Sidje, Roger B.
2008
Fast generalized cross validation using Krylov subspace methods. Zbl 1157.65012
Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin
2008
Analysis of trigonometric implicit Runge-Kutta methods. Zbl 1106.65063
Nguyen, Hoang Si; Sidje, Roger B.; Cong, Nguyen Huu
2007
Inexact uniformization method for computing transient distributions of Markov chains. Zbl 1154.65300
Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev
2007
An improved finite state projection algorithm for the numerical solution of the chemical master equation with applications. Zbl 1334.92475
MacNamara, Shev F.; Burrage, Kevin; Sidje, Roger B.
2007
On the stability function of functionally fitted Runge-Kutta methods. Zbl 1337.65078
Sidje, Roger B.; Hoang, Nguyen S.
2007
On functionally-fitted Runge-Kutta methods. Zbl 1108.65076
Hoang, Nguyen Si; Sidje, Roger B.; Cong, Nguyen Huu
2006
QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. Zbl 1081.65040
Sidje, Roger B.; Burrage, K.
2005
A numerical study of large sparse matrix exponentials arising in Markov chains. Zbl 1042.65508
Sidje, Roger B.; Stewart, William J.
1999
Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. Zbl 0940.65039
1999
A parallel matrix-free implementation of a Runge-Kutta code. Zbl 1193.65118
Burrage, Kevin; Eldershaw, Craig; Sidje, Roger
1999
Expokit: A software package for computing matrix exponentials. Zbl 0917.65063
Sidje, Roger B.
1998
Alternatives for parallel Krylov subspace basis computation. Zbl 0889.65029
Sidje, R. B.
1997
Transient solutions of Markov processes by Krylov subspaces. Zbl 0862.60056
Philippe, Bernard; Sidje, Roger B.
1995
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### Cited by 472 Authors

 19 Jimenez, Juan Carlos 15 Sidje, Roger B. 12 Carbonell, Felix 12 Jator, Samuel N. 9 Blanes, Sergio 7 Biscay, Rolando J. 7 Ross, Joshua V. 6 Ju, Lili 6 Tambue, Antoine 5 Caliari, Marco 5 Ngwane, Fidele F. 5 Ponsoda, Enrique 5 Reichel, Lothar 5 Tokman, Mayya 4 Bader, Philipp 4 Burrage, Kevin 4 de la Cruz, H. 4 Hoang, Nguyen Si 4 Jódar Sanchez, Lucas Antonio 4 Li, Dongping 4 Lord, Gabriel James 4 MacNamara, Shev F. 4 Martín-Vaquero, Jesús 4 Ozaki, Tohru 4 Sadkane, Miloud 4 Sandu, Adrian 4 Vigo-Aguiar, Jesus 4 Wolf, Verena 4 Wu, Gang 3 Bergamaschi, Luca 3 Botchev, Mike A. 3 Burrage, Pamela M. 3 Calvo, Manuel 3 Casas, Fernando 3 Gaudreault, Stéphane 3 Gunzburger, Max D. 3 Hellander, Andreas 3 Kandolf, Peter 3 Li, Jiyong 3 Lötstedt, Per 3 Montijano, Juan Ignacio 3 Okunuga, Solomon A. 3 Ostermann, Alexander 3 Rainer, Stefan 3 Rández, Luis 3 Saad, Yousef 3 Seydaoğlu, Muaz 3 Van Daele, Marnix 3 Vianello, Marco 3 Wang, Zhu 3 Zhang, Rongpei 2 Acebrón, Juan A. 2 Alvermann, Andreas 2 Bartel, Felix 2 Bertaccini, Daniele 2 Bisetti, Fabrizio 2 Botchev, Mikhail A. 2 Cao, Yang 2 Cao, Youfang 2 Cong, Nguyen Huu 2 Cong, Yuhao 2 Cortés López, Juan Carlos 2 Crawford, Forrest W. 2 de la Cruz Cancino, H. 2 Defez, Emilio 2 Drovandi, Christopher C. 2 Duddu, Ravindra 2 Durastante, Fabio 2 Ehigie, Julius Osato 2 Faddy, Malcolm J. 2 Fehske, Holger 2 Franco, J. Méndez 2 Gao, Huadong 2 Geiger, Sebastian 2 Gottlieb, Sigal 2 Grant, Zachary J. 2 Güttel, Stefan 2 Hegland, Markus 2 Henzinger, Thomas A. 2 Hielscher, Ralf 2 Ho, Lam Si Tung 2 Hoang, Thi-Thao-Phuong 2 House, Thomas 2 Ibáñez González, Jacinto Javier 2 Isherwood, Leah 2 Iturria-Medina, Yasser 2 Jahnke, Tobias 2 Jawecki, Tobias 2 Jørgensen, Palle E. T. 2 Li, Xiao 2 Liang, Jie 2 Michels, Dominik Ludewig 2 Narayanamurthi, Mahesh 2 Navarro, Enrique A. 2 Oseledets, Ivan V. 2 Pettitt, Anthony N. 2 Pieper, Konstantin 2 Pollett, Philip K. 2 Pudykiewicz, Janusz A. 2 Rainwater, Greg ...and 372 more Authors
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### Cited in 102 Serials

 30 Journal of Computational and Applied Mathematics 29 Journal of Computational Physics 18 Numerical Algorithms 17 Applied Mathematics and Computation 16 BIT 10 Computers & Mathematics with Applications 10 Applied Numerical Mathematics 8 Journal of Scientific Computing 8 Linear Algebra and its Applications 7 Numerical Linear Algebra with Applications 5 SIAM Journal on Matrix Analysis and Applications 5 SIAM Journal on Scientific Computing 5 Journal of Theoretical Biology 4 Mathematical Biosciences 4 Theoretical Population Biology 4 Applied Mathematics Letters 3 Computer Methods in Applied Mechanics and Engineering 3 Computer Physics Communications 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 International Journal for Numerical Methods in Engineering 3 Mathematical and Computer Modelling 3 Computational Statistics 3 Mathematical Problems in Engineering 2 Mathematics and Computers in Simulation 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 Theoretical Computer Science 2 Queueing Systems 2 European Journal of Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 International Journal of Computer Mathematics 2 Journal of Mathematical Chemistry 2 Communications in Nonlinear Science and Numerical Simulation 2 Combustion Theory and Modelling 2 International Journal of Differential Equations 2 Afrika Matematika 1 Computers and Fluids 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Inverse Problems 1 Journal of Fluid Mechanics 1 Physics Reports 1 Mathematics of Computation 1 Biometrics 1 Calcolo 1 Computing 1 Journal of Applied Probability 1 Journal of Approximation Theory 1 Journal of Econometrics 1 Journal of Optimization Theory and Applications 1 Numerical Functional Analysis and Optimization 1 Systems & Control Letters 1 Journal of the Nigerian Mathematical Society 1 ACM Transactions on Graphics 1 Journal of Theoretical Probability 1 Neural Computation 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Applied Mathematical Modelling 1 Communications in Statistics. Simulation and Computation 1 Communications in Statistics. Theory and Methods 1 European Journal of Operational Research 1 Pattern Recognition 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Computational Statistics and Data Analysis 1 Applied and Computational Harmonic Analysis 1 Computational and Applied Mathematics 1 Advances in Computational Mathematics 1 Finance and Stochastics 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Journal of the Royal Statistical Society. Series C. Applied Statistics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Numerical Modelling 1 New Journal of Physics 1 European Journal of Mechanics. B. Fluids 1 Computational Geosciences 1 Methodology and Computing in Applied Probability 1 Scandinavian Actuarial Journal 1 Mathematical Modelling and Analysis 1 Journal of Applied Mathematics 1 Stochastic Models 1 Multiscale Modeling & Simulation 1 Internet Mathematics 1 Review of Derivatives Research 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 GAMM-Mitteilungen 1 Communications in Computational Physics 1 Networks and Heterogeneous Media 1 The Annals of Applied Statistics 1 Discrete and Continuous Dynamical Systems. Series S 1 Statistics and Computing 1 Journal of Applied Analysis and Computation 1 Axioms 1 Bayesian Analysis ...and 2 more Serials
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### Cited in 33 Fields

 224 Numerical analysis (65-XX) 61 Probability theory and stochastic processes (60-XX) 56 Ordinary differential equations (34-XX) 44 Biology and other natural sciences (92-XX) 35 Partial differential equations (35-XX) 29 Linear and multilinear algebra; matrix theory (15-XX) 21 Fluid mechanics (76-XX) 17 Statistics (62-XX) 9 Computer science (68-XX) 9 Quantum theory (81-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 6 Mechanics of deformable solids (74-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Geophysics (86-XX) 5 Optics, electromagnetic theory (78-XX) 5 Statistical mechanics, structure of matter (82-XX) 5 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Operator theory (47-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX)