## Jackiewicz, Zdzislaw

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 Author ID: jackiewicz.zdzislaw Published as: Jackiewicz, Z.; Jackiewicz, Zdzislaw; Jackiewicz, Zdzisław more...less Homepage: https://math.la.asu.edu/~jackiewi/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef
 Documents Indexed: 175 Publications since 1978, including 1 Book 7 Contributions as Editor Reviewing Activity: 153 Reviews Co-Authors: 72 Co-Authors with 156 Joint Publications 1,352 Co-Co-Authors
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### Co-Authors

 20 single-authored 23 Izzo, Giuseppe 14 Butcher, John C. 13 Welfert, Bruno D. 13 Zennaro, Marino 10 Bakke, Vernon L. 10 Braś, Michał 10 D’Ambrosio, Raffaele 10 Kwapisz, Marian 9 Vermiglio, Rossana 9 Zubik-Kowal, Barbara 8 Bartoszewski, Zbigniew 8 Cardone, Angelamaria 7 Bellen, Alfredo 7 Burrage, Kevin 7 Renaut, Rosemary Anne 5 Conte, Dajana 5 Feldstein, Alan 5 Vecchio, Antonia 4 Abdi, Ali 4 Crisci, Maria Rosaria 4 Mittelmann, Hans Detlef 4 Paternoster, Beatrice 4 Russo, Elvira 3 Alanazi, Khalaf M. 3 Hojjati, Gholamreza 3 Kuang, Yang 3 Podhaisky, Helmut 3 Rahman, M. Mahbubur 3 Sandu, Adrian 3 Thieme, Horst R. 3 Zhang, Hong 2 Califano, Giovanna 2 Chartier, Philippe 2 Hoppensteadt, Frank C. 2 Owren, Brynjulf 2 Tracogna, S. 2 Verner, James H. 2 Weiner, Rüdiger 1 Augustynowicz, Andrzej 1 Baer, Steven M. 1 Baker, Christopher Thomas Hale 1 Basse, Britta 1 Bose, Anjan 1 Brugnano, Luigi 1 Chollom, Joshua P. 1 Crook, Sharon M. 1 Diogo, Teresa 1 Famelis, Ioannis Th. 1 Ferro, Maria 1 Figueroa, Alejandro 1 Ford, Neville J. 1 Hertono, G. 1 Jorcyk, C. L. 1 Klaus, Martin 1 Kolev, Mikhail K. 1 Li, Bingtuan 1 Lima, Pedro Miguel 1 Löhner, Rainald 1 Marthinsen, Arne 1 Mead, Jodi L. 1 Messina, Eleonora 1 Morgado, Luisa 1 Nørsett, Syvert Paul 1 O’Cinneide, Colm Art 1 Pierzchała, P. 1 Rebelo, Magda S. 1 Sharp, Philip W. 1 Sun, Yajuan 1 Thalhauser, Craig J. 1 Tischendorf, Caren 1 Tylavsky, Daniel J. 1 van der Houwen, Pieter J.
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### Serials

 32 Applied Numerical Mathematics 20 Journal of Computational and Applied Mathematics 16 Numerical Algorithms 8 BIT 8 SIAM Journal on Numerical Analysis 8 Journal of Scientific Computing 7 Applied Mathematics and Computation 7 Numerische Mathematik 7 Mathematical Modelling and Analysis 4 Journal of Mathematical Analysis and Applications 4 Aplikace Matematiky 4 Mathematics and Computers in Simulation 3 Computers & Mathematics with Applications 3 IMA Journal of Numerical Analysis 3 Zastosowania Matematyki 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematics of Computation 2 Computing 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 SIAM Journal on Scientific Computing 2 Applicationes Mathematicae 1 Applicable Analysis 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Funkcialaj Ekvacioj. Serio Internacia 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Integral Equations 1 Journal of Complexity 1 Numerical Methods for Partial Differential Equations 1 Japan Journal of Industrial and Applied Mathematics 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Linear Algebra and its Applications 1 New Zealand Journal of Mathematics 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Mathematical Biosciences and Engineering 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Computational & Mathematical Methods in Medicine 1 Communications on Applied Mathematics and Computation
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### Fields

 175 Numerical analysis (65-XX) 96 Ordinary differential equations (34-XX) 37 Integral equations (45-XX) 16 Partial differential equations (35-XX) 10 Biology and other natural sciences (92-XX) 7 General and overarching topics; collections (00-XX) 3 Fluid mechanics (76-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

153 Publications have been cited 1,862 times in 717 Documents Cited by Year
General linear methods for ordinary differential equations. Zbl 1211.65095
Jackiewicz, Zdzisław
2009
A general class of two-step Runge-Kutta methods for ordinary differential equations. Zbl 0837.65074
Jackiewicz, Z.; Tracogna, S.
1995
Diagonally implicit general linear methods for ordinary differential equations. Zbl 0795.65043
Butcher, J. C.; Jackiewicz, Z.
1993
Stability analysis of one-step methods for neutral delay-differential equations. Zbl 0644.65049
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
1988
Implementation of diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0892.65044
Butcher, J. C.; Jackiewicz, Z.
1997
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0933.65080
Butcher, J. C.; Jackiewicz, Z.
1998
Construction of diagonally implicit general linear methods of type 1 and 2 for ordinary differential equations. Zbl 0865.65056
Butcher, J. C.; Jackiewicz, Z.
1996
Stability analysis of Runge-Kutta methods for Volterra integral equations of the second kind. Zbl 0686.65095
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
Extrapolation-based implicit-explicit general linear methods. Zbl 1291.65217
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong
2014
One-step methods of any order for neutral functional differential equations. Zbl 0562.65056
Jackiewicz, Zdzislaw
1984
Asymptotic stability analysis of $$\theta$$-methods for functional differential equations. Zbl 0557.65047
Jackiewicz, Zdzislaw
1984
Two-step almost collocation methods for Volterra integral equations. Zbl 1160.65066
Conte, D.; Jackiewicz, Z.; Paternoster, B.
2008
Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations. Zbl 1093.65096
Jackiewicz, Z.; Zubik-Kowal, B.
2006
Highly stable implicit-explicit Runge-Kutta methods. Zbl 1355.65096
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2017
Variable stepsize continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 0869.65050
Jackiewicz, Z.; Tracogna, S.
1996
Contractivity of waveform relaxation Runge-Kutta iterations and related limit methods for dissipative systems in the maximum norm. Zbl 0818.65067
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
1994
Convergence of waveform relaxation methods for differential-algebraic systems. Zbl 0889.34064
Jackiewicz, Z.; Kwapisz, M.
1996
Quasilinear multistep methods and variable step predictor-corrector methods for neutral functional differential equations. Zbl 0602.65056
Jackiewicz, Zdzislaw
1986
Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107
D’Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B.
2010
Implementation of DIMSIMs for stiff differential systems. Zbl 1001.65082
Jackiewicz, Z.
2002
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
1999
Existence and uniqueness of solutions of neutral delay-differential equations with state dependent delays. Zbl 0631.34006
Jackiewicz, Zdzislaw
1987
Derivation and implementation of two-step Runge-Kutta pairs. Zbl 1006.65075
Jackiewicz, Z.; Verner, J. H.
2002
Construction of general linear methods with Runge-Kutta stability properties. Zbl 1055.65083
Butcher, J. C.; Jackiewicz, Z.
2004
Two-step Runge-Kutta methods. Zbl 0732.65064
Jackiewicz, Z.; Renaut, R.; Feldstein, A.
1991
Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
2010
Construction of two-step Runge-Kutta methods of high order of ordinary differential equations. Zbl 0916.65083
Bartoszewski, Z.; Jackiewicz, Z.
1998
Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107
Conte, D.; D’Ambrosio, R.; Jackiewicz, Z.
2010
Waveform relaxation methods for functional differential systems of neutral type. Zbl 0874.65056
Jackiewicz, Z.; Kwapisz, M.; Lo, E.
1997
Construction of two-step Runge–Kutta methods with large regions of absolute stability. Zbl 1024.65054
Chollom, J.; Jackiewicz, Z.
2003
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
1997
Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096
D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw
2011
Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability. Zbl 1366.65070
Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław
2017
Strong stability preserving general linear methods. Zbl 1329.65164
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2015
Construction of highly stable implicit-explicit general linear methods. Zbl 1335.65060
Zhang, Hong; Sandu, Adrian; Jackiewicz, Zdzisław; Cardone, Angelamaria
2015
Explicit Nordsieck methods with quadratic stability. Zbl 1247.65104
Cardone, Angelamaria; Jackiewicz, Zdzislaw
2012
A new approach to error estimation for general linear methods. Zbl 1032.65088
Butcher, J. C.; Jackiewicz, Z.
2003
Error propagation of general linear methods for ordinary differential equations. Zbl 1131.65068
Butcher, J. C.; Jackiewicz, Z.; Wright, W. M.
2007
Unconditionally stable general linear methods for ordinary differential equations. Zbl 1066.65078
Butcher, J. C.; Jackiewicz, Z.
2004
Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations. Zbl 1086.65069
Bartoszewski, Z.; Jackiewicz, Z.
2005
Numerical solution of a Fredholm integro-differential equation modelling neural networks. Zbl 1089.65136
Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D.
2006
Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels. Zbl 1120.65135
Hoppensteadt, F. C.; Jackiewicz, Z.; Zubik-Kowal, B.
2007
Starting procedures for general linear methods. Zbl 1370.65034
Califano, G.; Izzo, G.; Jackiewicz, Z.
2017
General linear methods with external stages of different orders. Zbl 0905.65086
Jackiewicz, Z.; Vermiglio, R.
1996
A nonlinear optimization approach to the construction of general linear methods of high order. Zbl 0879.65051
Butcher, J. C.; Jackiewicz, Z.; Mittelmann, H. D.
1997
Natural continuous extensions of Runge-Kutta methods for Volterra integral equations of the second kind and their applications. Zbl 0658.65137
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1989
General linear methods for Volterra integral equations. Zbl 1196.65200
Izzo, G.; Jackiewicz, Z.; Messina, E.; Vecchio, A.
2010
Time-point relaxation Runge-Kutta methods for ordinary differential equations. Zbl 0783.65063
Bellen, A.; Jackiewicz, Z.; Zennaro, M.
1993
Numerical solution of a Fredholm integro-differential equation modelling $$\dot \theta$$-neural networks. Zbl 1132.65116
Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D.
2008
Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability. Zbl 1405.65086
Abdi, A.; Jackiewicz, Z.
2019
The numerical integration of neutral functional-differential equations by fully implicit one-step methods. Zbl 0830.65079
Jackiewicz, Z.; Lo, E.
1995
Adams methods for neutral functional differential equations. Zbl 0491.65044
Jackiewicz, Zdzislaw
1982
Natural Volterra Runge-Kutta methods. Zbl 1291.65377
Conte, Dajana; D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2014
Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
2013
Construction of IMEX DIMSIMs of high order and stage order. Zbl 1372.65212
Jackiewicz, Z.; Mittelmann, H.
2017
The numerical solution of neutral functional differential equations by Adams predictor-corrector methods. Zbl 0748.65057
Jackiewicz, Z.; Lo, E.
1991
Stability analysis of discrete recurrence equations of Volterra type with degenerate kernels. Zbl 0754.45002
Crisci, M. R.; Jackiewicz, Z.; Russo, E.; Vecchio, A.
1991
Strong stability preserving general linear methods with Runge-Kutta stability. Zbl 1402.65065
Califano, Giovanna; Izzo, Giuseppe; Jackiewicz, Zdzisław
2018
Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119
D’Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
2012
The numerical solution of Volterra functional differential equations of neutral type. Zbl 0469.65059
Jackiewicz, Zdzislaw
1981
Numerical solution of neutral functional differential equations by Adams methods in divided difference form. Zbl 1090.65084
Jackiewicz, Z.; Lo, E.
2006
Variable-stepsize explicit two-step Runge-Kutta methods. Zbl 0769.65052
Jackiewicz, Z.; Zennaro, M.
1992
A reliable error estimation for diagonally implicit multistage integration methods. Zbl 0998.65081
Butcher, J. C.; Jackiewicz, Z.
2001
Preconditioning waveform relaxation iterations for differential systems. Zbl 0864.65049
Burrage, K.; Jackiewicz, Z.; Nørsett, S. P.; Renaut, R. A.
1996
Explicit two-step Runge-Kutta methods. Zbl 0849.65055
Jackiewicz, Zdzislaw; Renaut, Rosemary Anne; Zennaro, Marino
1995
Optimization-based search for Nordsieck methods of high order with quadratic stability polynomials. Zbl 1260.65063
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Mittelmann, Hans
2012
Order conditions for general linear methods. Zbl 1330.65103
Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno
2015
Convergence of multistep methods for Volterra functional differential equations. Zbl 0388.65028
Jackiewicz, Zdzislaw
1979
Strong stability preserving transformed DIMSIMs. Zbl 06892262
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2018
Construction of highly stable two-step W-methods for ordinary differential equations. Zbl 1049.65070
Jackiewicz, Z.; Podhaisky, H.; Weiner, R.
2004
Stability analysis of two-step Runge-Kutta methods for delay differential equations. Zbl 1024.65067
Bartoszewski, Z.; Jackiewicz, Z.
2002
Determining analyticity for parameter optimization of the Gegenbauer reconstruction method. Zbl 1091.65130
Gelb, A.; Jackiewicz, Z.
2005
Stability analysis of product $$\theta$$-methods for Abel integral equations of the second kind. Zbl 0615.65141
Bakke, V. L.; Jackiewicz, Z.
1986
Unstable neutral functional differential equations. Zbl 0723.34067
Feldstein, Alan; Jackiewicz, Zdzislaw
1990
A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109
Conte, Dajana; D’Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
2012
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part. Zbl 1416.65204
Izzo, G.; Jackiewicz, Z.
2019
Derivation of continuous explicit two-step Runge-Kutta methods of order three. Zbl 1116.65087
Bartoszewski, Z.; Jackiewicz, Z.
2007
Perturbed MEBDF methods. Zbl 1247.65091
D’Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2012
One step methods for the numerical solution of Volterra functional differential equations of neutral type. Zbl 0469.65060
Jackiewicz, Zdzislaw
1981
Error estimation for Nordsieck methods. Zbl 1012.65083
Butcher, J. C.; Jackiewicz, Z.
2002
A new code for Volterra integral equations based on natural Runge-Kutta methods. Zbl 1462.65221
Abdi, A.; Hojjati, G.; Jackiewicz, Z.; Mahdi, H.
2019
Order conditions for partitioned Runge-Kutta methods. Zbl 1058.65069
Jackiewicz, Zdzisław; Vermiglio, Rossana
2000
Variable-step variable-order algorithm for the numerical solution of neutral functional differential equations. Zbl 0626.65072
Jackiewicz, Zdzislaw
1987
The numerical solution of boundary-value problems for differential equations with state dependent deviating arguments. Zbl 0669.65065
Bakke, V. L.; Jackiewicz, Z.
1989
Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods. Zbl 1047.65092
Jackiewicz, Z.; Welfert, B. D.; Zubik-Kowal, B.
2004
Correlation between animal and mathematical models for prostate cancer progression. Zbl 1317.92038
Jackiewicz, Z.; Jorcyk, C. L.; Kolev, M.; Zubik-Kowal, B.
2009
Construction of algebraically stable dimsims. Zbl 1278.65108
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2014
Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics. Zbl 1169.92027
Jackiewicz, Z.; Zubik-Kowal, B.; Basse, B.
2009
Discrete variable methods for delay-differential equations with threshold-type delays. Zbl 1175.65077
Jackiewicz, Z.; Zubik-Kowal, B.
2009
Exploiting structure in the construction of DIMSIMs. Zbl 0937.65088
Jackiewicz, Z.; Mittelmann, H. D.
1999
One-step methods for neutral delay-differential equations with state dependent delays. Zbl 0739.65065
Jackiewicz, Z.
1990
Variable stepsize diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0822.65049
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1995
Construction and implementation of general linear methods for ordinary differential equations: a review. Zbl 1203.65103
Jackiewicz, Z.
2005
The performance of preconditioned waveform relaxation techniques for pseudospectral methods. Zbl 0863.65063
Burrage, K.; Jackiewicz, Z.; Renaut, R. A.
1996
Stability of reducible quadrature methods for Volterra integral equations of the second kind. Zbl 0573.65104
Bakke, V. L.; Jackiewicz, Z.
1985
Error propagation for implicit-explicit general linear methods. Zbl 1446.65036
Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P.
2018
Toward a two-step Runge-Kutta code for nonstiff differential systems. Zbl 1008.65046
Bartoszewski, Zbigniew; Jackiewicz, Zdzisław
2001
Numerical solution of a problem in the theory of epidemics. Zbl 1085.92035
2006
Regularity properties of Runge-Kutta methods for ordinary differential equations. Zbl 0867.65042
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1996
A stability analysis of the trapezoidal method for Volterra integral equations with completely positive kernels. Zbl 0715.65107
Bellen, A.; Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1990
Global error estimation for explicit general linear methods. Zbl 1491.65059
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2022
Global error estimation for explicit second derivative general linear methods. Zbl 1491.65060
Abdi, Ali; Hojjati, Gholamreza; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2022
Efficient two-step Runge-Kutta methods for fluid dynamics simulations. Zbl 1459.65111
Figueroa, Alejandro; Jackiewicz, Zdzisław; Löhner, Rainald
2021
Construction of SDIRK methods with dispersive stability functions. Zbl 1459.65112
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2021
Strong stability preserving implicit-explicit transformed general linear methods. Zbl 07318072
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2020
Spreading speeds of rabies with territorial and diffusing rabid foxes. Zbl 1433.92048
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2020
A new class of efficient general linear methods for ordinary differential equations. Zbl 1439.65074
Braś, M.; Jackiewicz, Z.
2020
Towards a code for nonstiff differential systems based on general linear methods with inherent Runge-Kutta stability. Zbl 1405.65086
Abdi, A.; Jackiewicz, Z.
2019
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part. Zbl 1416.65204
Izzo, G.; Jackiewicz, Z.
2019
A new code for Volterra integral equations based on natural Runge-Kutta methods. Zbl 1462.65221
Abdi, A.; Hojjati, G.; Jackiewicz, Z.; Mahdi, H.
2019
Numerical simulations of the spread of rabies in two-dimensional space. Zbl 1404.65132
Alanazi, Khalaf M.; Jackiewicz, Zdzislaw; Thieme, Horst R.
2019
Strong stability preserving general linear methods with Runge-Kutta stability. Zbl 1402.65065
Califano, Giovanna; Izzo, Giuseppe; Jackiewicz, Zdzisław
2018
Strong stability preserving transformed DIMSIMs. Zbl 06892262
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2018
Error propagation for implicit-explicit general linear methods. Zbl 1446.65036
Braś, M.; Cardone, A.; Jackiewicz, Z.; Pierzchała, P.
2018
Highly stable implicit-explicit Runge-Kutta methods. Zbl 1355.65096
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2017
Accurate implicit-explicit general linear methods with inherent Runge-Kutta stability. Zbl 1366.65070
Braś, Michał; Izzo, Giuseppe; Jackiewicz, Zdzisław
2017
Starting procedures for general linear methods. Zbl 1370.65034
Califano, G.; Izzo, G.; Jackiewicz, Z.
2017
Construction of IMEX DIMSIMs of high order and stage order. Zbl 1372.65212
Jackiewicz, Z.; Mittelmann, H.
2017
Order reduction phenomenon for general linear methods. Zbl 1368.65111
Braś, Michał; Cardone, Angelamaria; Jackiewicz, Zdzisław; Welfert, Bruno
2017
Generalized linear multistep methods for ordinary differential equations. Zbl 1357.65097
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2017
Strong stability preserving general linear methods. Zbl 1329.65164
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2015
Construction of highly stable implicit-explicit general linear methods. Zbl 1335.65060
Zhang, Hong; Sandu, Adrian; Jackiewicz, Zdzisław; Cardone, Angelamaria
2015
Order conditions for general linear methods. Zbl 1330.65103
Cardone, Angelamaria; Jackiewicz, Zdzisław; Verner, James H.; Welfert, Bruno
2015
Strong stability preserving multistage integration methods. Zbl 1488.65175
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2015
Numerical solution of threshold problems in epidemics and population dynamics. Zbl 1311.65088
Bartoszewski, Z.; Jackiewicz, Z.; Kuang, Yang
2015
Extrapolation-based implicit-explicit general linear methods. Zbl 1291.65217
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Sandu, Adrian; Zhang, Hong
2014
Natural Volterra Runge-Kutta methods. Zbl 1291.65377
Conte, Dajana; D&rsquo;Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2014
Construction of algebraically stable dimsims. Zbl 1278.65108
Izzo, Giuseppe; Jackiewicz, Zdzislaw
2014
Extrapolated implicit-explicit Runge-Kutta methods. Zbl 1488.65174
Cardone, Angelamaria; Jackiewicz, Zdzisław; Sandu, Adrian; Zhang, Hong
2014
Search for efficient general linear methods for ordinary differential equations. Zbl 1301.65060
Braś, M.; Jackiewicz, Z.
2014
Numerical simulations of traveling wave solutions in a drift paradox inspired diffusive delay population model. Zbl 07312544
Jackiewicz, Z.; Liu, H.; Li, B.; Kuang, Y.
2014
Numerical search for algebraically stable two-step almost collocation methods. Zbl 1255.65130
Conte, Dajana; D&rsquo;Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
2013
Explicit Nordsieck methods with quadratic stability. Zbl 1247.65104
Cardone, Angelamaria; Jackiewicz, Zdzislaw
2012
Search for highly stable two-step Runge-Kutta methods. Zbl 1252.65119
D&rsquo;Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
2012
Optimization-based search for Nordsieck methods of high order with quadratic stability polynomials. Zbl 1260.65063
Cardone, Angelamaria; Jackiewicz, Zdzislaw; Mittelmann, Hans
2012
A practical approach for the derivation of algebraically stable two-step Runge-Kutta methods. Zbl 1246.65109
Conte, Dajana; D&rsquo;Ambrosio, Raffaele; Jackiewicz, Zdzislaw; Paternoster, Beatrice
2012
Perturbed MEBDF methods. Zbl 1247.65091
D&rsquo;Ambrosio, Raffaele; Izzo, Giuseppe; Jackiewicz, Zdzislaw
2012
Explicit Nordsieck methods with extended stability regions. Zbl 1246.65119
Bartoszewski, Zbigniew; Jackiewicz, Zdzisław
2012
Construction and implementation of highly stable two-step continuous methods for stiff differential systems. Zbl 1220.65096
D&rsquo;Ambrosio, Raffaele; Jackiewicz, Zdzislaw
2011
Nordsieck methods with computationally verified algebraic stability. Zbl 1217.65145
Braś, M.; Jackiewicz, Z.
2011
Two-step almost collocation methods for ordinary differential equations. Zbl 1186.65107
D&rsquo;Ambrosio, R.; Ferro, M.; Jackiewicz, Z.; Paternoster, B.
2010
Continuous two-step Runge-Kutta methods for ordinary differential equations. Zbl 1191.65092
D&rsquo;Ambrosio, Raffaele; Jackiewicz, Zdzislaw
2010
Two-step Runge-Kutta methods with quadratic stability functions. Zbl 1203.65107
Conte, D.; D&rsquo;Ambrosio, R.; Jackiewicz, Z.
2010
General linear methods for Volterra integral equations. Zbl 1196.65200
Izzo, G.; Jackiewicz, Z.; Messina, E.; Vecchio, A.
2010
A new strategy for choosing the Chebyshev-Gegenbauer parameters in a reconstruction based on asymptotic analysis. Zbl 1203.65029
Jackiewicz, Z.; Park, R.
2010
General linear methods for ordinary differential equations. Zbl 1211.65095
Jackiewicz, Zdzisław
2009
Correlation between animal and mathematical models for prostate cancer progression. Zbl 1317.92038
Jackiewicz, Z.; Jorcyk, C. L.; Kolev, M.; Zubik-Kowal, B.
2009
Finite-difference and pseudo-spectral methods for the numerical simulations of in vitro human tumor cell population kinetics. Zbl 1169.92027
Jackiewicz, Z.; Zubik-Kowal, B.; Basse, B.
2009
Discrete variable methods for delay-differential equations with threshold-type delays. Zbl 1175.65077
Jackiewicz, Z.; Zubik-Kowal, B.
2009
Spectral approximation of time windows in the solution of dissipative linear differential equations. Zbl 1195.65091
Burrage, K.; Jackiewicz, Z.; Welfert, B. D.
2009
Numerical solution of a model for brain cancer progression after therapy. Zbl 1165.92311
Jackiewicz, Z.; Kuang, Y.; Thalhauser, C.; Zubik-Kowal, B.
2009
Numerical solution of calcium-mediated dendritic branch model. Zbl 1186.92007
Baer, S. M.; Crook, S.; Dur-e-Ahmad, M.; Jackiewicz, Z.
2009
Highly stable general linear methods for differential systems. Zbl 1179.65101
D&rsquo;Ambrosio, R.; Izzo, G.; Jackiewicz, Z.
2009
Two-step almost collocation methods for Volterra integral equations. Zbl 1160.65066
Conte, D.; Jackiewicz, Z.; Paternoster, B.
2008
Numerical solution of a Fredholm integro-differential equation modelling $$\dot \theta$$-neural networks. Zbl 1132.65116
Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D.
2008
Construction of highly stable parallel two-step Runge-Kutta methods for delay differential equations. Zbl 1146.65057
Bartoszewski, Z.; Jackiewicz, Z.
2008
Error propagation of general linear methods for ordinary differential equations. Zbl 1131.65068
Butcher, J. C.; Jackiewicz, Z.; Wright, W. M.
2007
Numerical solution of Volterra integral and integro-differential equations with rapidly vanishing convolution kernels. Zbl 1120.65135
Hoppensteadt, F. C.; Jackiewicz, Z.; Zubik-Kowal, B.
2007
Derivation of continuous explicit two-step Runge-Kutta methods of order three. Zbl 1116.65087
Bartoszewski, Z.; Jackiewicz, Z.
2007
Stochastic approximations of perturbed Fredholm Volterra integro-differential equation arising in mathematical neurosciences. Zbl 1117.65014
Rahman, M. Mahbubur; Jackiewicz, Z.; Welfert, B. D.
2007
Spectral collocation and waveform relaxation methods for nonlinear delay partial differential equations. Zbl 1093.65096
Jackiewicz, Z.; Zubik-Kowal, B.
2006
Numerical solution of a Fredholm integro-differential equation modelling neural networks. Zbl 1089.65136
Jackiewicz, Z.; Rahman, M. Mahbubur; Welfert, B. D.
2006
Numerical solution of neutral functional differential equations by Adams methods in divided difference form. Zbl 1090.65084
Jackiewicz, Z.; Lo, E.
2006
Numerical solution of a problem in the theory of epidemics. Zbl 1085.92035
2006
Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations. Zbl 1086.65069
Bartoszewski, Z.; Jackiewicz, Z.
2005
Determining analyticity for parameter optimization of the Gegenbauer reconstruction method. Zbl 1091.65130
Gelb, A.; Jackiewicz, Z.
2005
Construction and implementation of general linear methods for ordinary differential equations: a review. Zbl 1203.65103
Jackiewicz, Z.
2005
Spectral collocation and waveform relaxation methods with Gegenbauer reconstruction for nonlinear conservation laws. Zbl 1070.65100
Jackiewicz, Z.; Zubik-Kowal, B.
2005
Construction of general linear methods with Runge-Kutta stability properties. Zbl 1055.65083
Butcher, J. C.; Jackiewicz, Z.
2004
Unconditionally stable general linear methods for ordinary differential equations. Zbl 1066.65078
Butcher, J. C.; Jackiewicz, Z.
2004
Construction of highly stable two-step W-methods for ordinary differential equations. Zbl 1049.65070
Jackiewicz, Z.; Podhaisky, H.; Weiner, R.
2004
Spectral versus pseudospectral solutions of the wave equation by waveform relaxation methods. Zbl 1047.65092
Jackiewicz, Z.; Welfert, B. D.; Zubik-Kowal, B.
2004
Construction of two-step Runge–Kutta methods with large regions of absolute stability. Zbl 1024.65054
Chollom, J.; Jackiewicz, Z.
2003
A new approach to error estimation for general linear methods. Zbl 1032.65088
Butcher, J. C.; Jackiewicz, Z.
2003
Determination of optimal parameters for the Chebyshev-Gegenbauer reconstruction method. Zbl 1063.65153
Jackiewicz, Z.
2003
Stability of Gauss-Radau pseudospectral approximations of the one-dimensional wave equation. Zbl 1024.65094
Jackiewicz, Z.; Welfert, B. D.
2003
Implementation of DIMSIMs for stiff differential systems. Zbl 1001.65082
Jackiewicz, Z.
2002
Derivation and implementation of two-step Runge-Kutta pairs. Zbl 1006.65075
Jackiewicz, Z.; Verner, J. H.
2002
Stability analysis of two-step Runge-Kutta methods for delay differential equations. Zbl 1024.65067
Bartoszewski, Z.; Jackiewicz, Z.
2002
Error estimation for Nordsieck methods. Zbl 1012.65083
Butcher, J. C.; Jackiewicz, Z.
2002
Absorbing boundary conditions of the second order for the pseudospectral Chebyshev methods for wave propagation. Zbl 0999.65108
Gelb, A.; Jackiewicz, Z.; Welfert, B. D.
2002
A note on stability of pseudospectral methods for wave propagation. Zbl 1001.65101
Jackiewicz, Z.; Renaut, R. A.
2002
A reliable error estimation for diagonally implicit multistage integration methods. Zbl 0998.65081
Butcher, J. C.; Jackiewicz, Z.
2001
Toward a two-step Runge-Kutta code for nonstiff differential systems. Zbl 1008.65046
Bartoszewski, Zbigniew; Jackiewicz, Zdzisław
2001
Acceleration of convergence of static and dynamic iterations. Zbl 0992.65077
Burrage, K.; Hertono, G.; Jackiewicz, Z.; Welfert, B. D.
2001
Order conditions for partitioned Runge-Kutta methods. Zbl 1058.65069
Jackiewicz, Zdzisław; Vermiglio, Rossana
2000
Diagonally implicit multistage integration methods for pseudospectral solutions of the wave equation. Zbl 0958.65103
Jackiewicz, Z.; Renaut, R. A.
2000
Step-control stability of diagonally implicit multistage integration methods. Zbl 0976.65068
Jackiewicz, Z.
2000
Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Zbl 0981.65084
Jackiewicz, Z.; Marthinsen, A.; Owren, B.
2000
Experiments with a variable-order type 1 DIMSIM code. Zbl 0958.65083
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
1999
Exploiting structure in the construction of DIMSIMs. Zbl 0937.65088
Jackiewicz, Z.; Mittelmann, H. D.
1999
Construction of high order diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0933.65080
Butcher, J. C.; Jackiewicz, Z.
1998
Construction of two-step Runge-Kutta methods of high order of ordinary differential equations. Zbl 0916.65083
Bartoszewski, Z.; Jackiewicz, Z.
1998
Pseudospectra of wave from relaxation operators. Zbl 0932.65080
Jackiewicz, Z.; Owren, B.; Welfert, B.
1998
Implementation of diagonally implicit multistage integration methods for ordinary differential equations. Zbl 0892.65044
Butcher, J. C.; Jackiewicz, Z.
1997
Waveform relaxation methods for functional differential systems of neutral type. Zbl 0874.65056
Jackiewicz, Z.; Kwapisz, M.; Lo, E.
1997
Nordsieck representation of DIMSIMs. Zbl 0920.65043
Butcher, J. C.; Chartier, P.; Jackiewicz, Z.
1997
A nonlinear optimization approach to the construction of general linear methods of high order. Zbl 0879.65051
Butcher, J. C.; Jackiewicz, Z.; Mittelmann, H. D.
1997
Regularity properties of Runge-Kutta methods for delay differential equations. Zbl 0879.65052
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
Regularity properties of multistage integration methods. Zbl 0890.65084
Jackiewicz, Z.; Vermiglio, R.; Zennaro, M.
1997
...and 53 more Documents
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### Cited in 126 Serials

 131 Applied Numerical Mathematics 90 Journal of Computational and Applied Mathematics 54 Applied Mathematics and Computation 37 Numerical Algorithms 29 Computers & Mathematics with Applications 21 BIT 19 Journal of Scientific Computing 18 Journal of Computational Physics 16 Journal of Mathematical Analysis and Applications 16 International Journal of Computer Mathematics 14 Numerische Mathematik 12 SIAM Journal on Scientific Computing 11 Mathematics and Computers in Simulation 10 Computational and Applied Mathematics 10 Communications in Nonlinear Science and Numerical Simulation 8 Mathematics of Computation 7 Journal of Applied Mathematics 6 Advances in Computational Mathematics 6 Abstract and Applied Analysis 5 Applications of Mathematics 5 Journal of Difference Equations and Applications 5 Discrete and Continuous Dynamical Systems. Series B 5 Mediterranean Journal of Mathematics 5 Frontiers of Mathematics in China 4 Aplikace Matematiky 4 Calcolo 4 Computing 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Mathematical Modelling and Analysis 3 Automatica 3 Journal of the Nigerian Mathematical Society 3 Journal of Complexity 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Journal of Integral Equations and Applications 3 European Journal of Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Chemistry 3 Nonlinear Analysis. Real World Applications 3 Communications on Applied Mathematics and Computation 2 Applicable Analysis 2 Computers and Fluids 2 Computer Methods in Applied Mechanics and Engineering 2 Mathematical Methods in the Applied Sciences 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Mathematica Slovaca 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Numerical Analysis 2 Applied Mathematics and Mechanics. (English Edition) 2 Bulletin of the Iranian Mathematical Society 2 Science in China. Series A 2 Computational Mathematics and Mathematical Physics 2 Applied Mathematical Modelling 2 Applied and Computational Harmonic Analysis 2 Functional Differential Equations 2 Discrete Dynamics in Nature and Society 2 Journal of Applied Mathematics and Computing 2 Advances in Difference Equations 2 Boundary Value Problems 2 International Journal of Differential Equations 2 Advances in Applied Mathematics and Mechanics 2 Afrika Matematika 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Axioms 2 Journal of Function Spaces 2 International Journal of Applied and Computational Mathematics 1 Journal of the Franklin Institute 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Rocky Mountain Journal of Mathematics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Czechoslovak Mathematical Journal 1 Fuzzy Sets and Systems 1 Journal of Differential Equations 1 Matematički Vesnik 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Semigroup Forum 1 Theoretical Population Biology 1 Zeitschrift für Analysis und ihre Anwendungen 1 Insurance Mathematics & Economics 1 Journal of Computational Mathematics 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Neural Networks 1 Neural Computation 1 Communications in Statistics. Theory and Methods 1 Linear Algebra and its Applications 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Mathematical Problems in Engineering 1 Journal of Applied Analysis 1 International Journal of Computational Fluid Dynamics 1 Differential Equations and Dynamical Systems 1 Optimization Methods & Software ...and 26 more Serials
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### Cited in 34 Fields

 627 Numerical analysis (65-XX) 282 Ordinary differential equations (34-XX) 137 Integral equations (45-XX) 76 Partial differential equations (35-XX) 35 Biology and other natural sciences (92-XX) 20 Fluid mechanics (76-XX) 19 Probability theory and stochastic processes (60-XX) 16 Difference and functional equations (39-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 6 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Special functions (33-XX) 5 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 4 Operations research, mathematical programming (90-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Information and communication theory, circuits (94-XX)

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