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Dahlquist, Germund

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Author ID: dahlquist.germund-g Recent zbMATH articles by "Dahlquist, Germund"
Published as: Dahlquist, G.; Dahlquist, G. G.; Dahlquist, Germund; Dahlquist, Germund G.
External Links: MGP · Wikidata · dblp · GND · MacTutor
Documents Indexed: 57 Publications since 1951, including 15 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

49 Publications have been cited 1,335 times in 1,075 Documents Cited by Year
A special stability problem for linear multistep methods. Zbl 0123.11703
Dahlquist, Germund G.
348
1963
Convergence and stability in the numerical integration of ordinary differential equations. Zbl 0071.11803
Dahlquist, Germund
139
1956
Stability and error bounds in the numerical integration of ordinary differential equations. Zbl 0085.33401
Dahlquist, Germund
138
1959
Numerical methods in scientific computing. Vol. 1. Zbl 1153.65001
Dahlquist, Germund; Björck, Åke
111
2008
G-stability is equivalent to A-stability. Zbl 0413.65057
Dahlquist, Germund
95
1978
Problems related to the numerical treatment of stiff differential equations. Zbl 0275.65023
Dahlquist, Germund
75
1974
On accuracy and unconditional stability of linear multistep methods for second order differential equations. Zbl 0378.65043
Dahlquist, Germund
56
1978
Error analysis for a class of methods for stiff non-linear initial value problems. Zbl 0352.65042
Dahlquist, Germund
46
1976
Reducibility and contractivity of Runge-Kutta methods revisited. Zbl 1106.65062
Dahlquist, Germund; Jeltsch, Rolf
38
2006
Stability of two-step methods for variable integration steps. Zbl 0526.65049
Dahlquist, Germund G.; Liniger, Werner; Nevanlinna, Olavi
21
1983
Bounds for the error of linear systems of equations using the theory of moments. Zbl 0238.65012
Dahlquist, Germund; Eisenstat, Stanley C.; Golub, Gene H.
18
1972
Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Zbl 1029.65002
Dahlquist, Germund; Björck, Åke
17
2003
Extrapolation of asymptotic expansions by a modified Aitken \(delta^ 2- \)formula. Zbl 0461.65003
Bjorstad, Petter; Dahlquist, Germund; Grosse, Eric
17
1981
On one-leg multistep methods. Zbl 0529.65048
Dahlquist, Germund
16
1983
Some properties of linear multistep and one-leg methods for ordinary differential equations. Zbl 0489.65044
Dahlquist, Germund
16
1979
A numerical method for some ordinary differential equations with large Lipschitz constants. Zbl 0194.18803
Dahlquist, G.
11
1969
Convergence acceleration from the point of view of linear programming. Zbl 0146.14202
Dahlquist, G.; Gustafson, Sven-Åke; Siklosi, K.
11
1965
On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051
Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall
10
1983
On the relation of G-stability to other stability concepts for linear multistep methods. Zbl 0438.65073
Dahlquist, Germund
9
1977
Are the numerical methods and software satisfactory for chemical kinetics? Zbl 0535.65052
Dahlquist, Germund; Edsberg, Lennart; Sköllermo, Gunilla; Söderlind, Gustaf
8
1982
Some contractivity questions for one-leg- and linear multistep methods. Zbl 0489.65045
Dahlquist, Germund
8
1979
Positive functions and some applications to stability questions for numerical methods. Zbl 0457.65049
Dahlquist, Germund
8
1978
Gram polynomials and the Kummer function. Zbl 0931.33005
Barnard, R. W.; Dahlquist, G.; Pearce, K.; Reichel, L.; Richards, K. C.
7
1998
Shifted Runge-Kutta methods and transplanted differential equations. Zbl 0687.65077
Dahlquist, G.; Jeltsch, R.
7
1988
Bounds for the error in linear systems. Zbl 0417.65018
Dahlquist, Germund; Golub, Gene H.; Nash, Stephen G.
7
1979
On the analytic continuation of Eulerian products. Zbl 0046.27205
Dahlquist, Germund
7
1952
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. I. Zbl 0878.65002
Dahlquist, Germund
6
1997
On matrix majorants and minorants, with applications to differential equations. Zbl 0521.65028
Dahlquist, Germund
6
1983
On the local and global errors of one-leg methods. Zbl 0475.65044
Dahlquist, Germund
6
1981
Some properties of linear multistep and one-leg methods for ordinary differential equations. Zbl 0436.65048
Dahlquist, Germund
6
1979
Convergence and stability for a hyperbolic difference equation with analytic initial-values. Zbl 0055.35801
Dahlquist, Germund
6
1954
On transformations of graded matrices, with applications to stiff ODE’s. Zbl 0599.65020
Dahlquist, Germund
5
1985
33 years of numerical instability. I. Zbl 0579.65090
Dahlquist, Germund
5
1985
Some problems related to stiff nonlinear differential systems. Zbl 0499.65044
Dahlquist, Germund; Soederlind, Gustaf
5
1982
On the computation of slowly convergent Fourier integrals. Zbl 0253.65075
Gustafson, Sven-Åke; Dahlquist, G.
5
1972
Fehlerabschätzungen bei Differenzenmethoden zur numerischen Integration gewöhnlicher Differentialgleichungen. Zbl 0043.33601
Dahlquist, Germund
5
1951
A “multigrid” extension of the \(FFT\) for the numerical inversion of Fourier and Laplace transforms. Zbl 0776.65069
Dahlquist, Germund
4
1993
On the design of nested iterations for elliptic difference equations. Zbl 0244.65073
Kronsjö, Lydia; Dahlquist, Germund
4
1972
Comparison of the method of averages with the method fo least squares. Zbl 0176.46303
Dahlquist, G.; Sjöberg, B.; Svensson, P.
4
1968
Stability questions for some numerical methods for ordinary differential equations. Zbl 0123.32405
Dahlquist, Germund G.
4
1963
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. III. Zbl 0926.65001
Dahlquist, Germund
3
1999
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. II. Zbl 0893.65001
Dahlquist, Germund
3
1997
Error propagation in stiff differential systems of singular perturbation type. Zbl 0473.65043
Soederlind, Gustaf; Dahlquist, Germund
3
1981
On rigorous error bounds in the numerical solution of ordinary differential equations. Zbl 0161.12403
Dahlquist, G. G.
3
1966
On an inverse non-linear diffusion problem. Zbl 0518.65065
Eriksson, Gerd; Dahlquist, Germund
2
1983
On the control of the global error in stiff initial value problems. Zbl 0473.65046
Dahlquist, Germund
2
1982
Die Monte-Carlo-Methode. Zbl 0056.12201
Dahlquist, Germund
2
1954
A multigrid FFT algorithm for slowly convergent inverse Laplace transforms. Zbl 0822.65122
Dahlquist, Germund
1
1994
Numerische Methoden. Aus dem Schwedischen übersetzt von Norbert Krier und Peter Spellucci. Zbl 0272.65002
Björck, Åke; Dahlquist, Germund
1
1972
Numerical methods in scientific computing. Vol. 1. Zbl 1153.65001
Dahlquist, Germund; Björck, Åke
111
2008
Reducibility and contractivity of Runge-Kutta methods revisited. Zbl 1106.65062
Dahlquist, Germund; Jeltsch, Rolf
38
2006
Numerical methods. Translated from the Swedish by Ned Anderson. Reprint of the 1974 English translation. Zbl 1029.65002
Dahlquist, Germund; Björck, Åke
17
2003
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. III. Zbl 0926.65001
Dahlquist, Germund
3
1999
Gram polynomials and the Kummer function. Zbl 0931.33005
Barnard, R. W.; Dahlquist, G.; Pearce, K.; Reichel, L.; Richards, K. C.
7
1998
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. I. Zbl 0878.65002
Dahlquist, Germund
6
1997
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules. II. Zbl 0893.65001
Dahlquist, Germund
3
1997
A multigrid FFT algorithm for slowly convergent inverse Laplace transforms. Zbl 0822.65122
Dahlquist, Germund
1
1994
A “multigrid” extension of the \(FFT\) for the numerical inversion of Fourier and Laplace transforms. Zbl 0776.65069
Dahlquist, Germund
4
1993
Shifted Runge-Kutta methods and transplanted differential equations. Zbl 0687.65077
Dahlquist, G.; Jeltsch, R.
7
1988
On transformations of graded matrices, with applications to stiff ODE’s. Zbl 0599.65020
Dahlquist, Germund
5
1985
33 years of numerical instability. I. Zbl 0579.65090
Dahlquist, Germund
5
1985
Stability of two-step methods for variable integration steps. Zbl 0526.65049
Dahlquist, Germund G.; Liniger, Werner; Nevanlinna, Olavi
21
1983
On one-leg multistep methods. Zbl 0529.65048
Dahlquist, Germund
16
1983
On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods. Zbl 0526.65051
Dahlquist, Germund; Huang, Mingyou; LeVeque, Randall
10
1983
On matrix majorants and minorants, with applications to differential equations. Zbl 0521.65028
Dahlquist, Germund
6
1983
On an inverse non-linear diffusion problem. Zbl 0518.65065
Eriksson, Gerd; Dahlquist, Germund
2
1983
Are the numerical methods and software satisfactory for chemical kinetics? Zbl 0535.65052
Dahlquist, Germund; Edsberg, Lennart; Sköllermo, Gunilla; Söderlind, Gustaf
8
1982
Some problems related to stiff nonlinear differential systems. Zbl 0499.65044
Dahlquist, Germund; Soederlind, Gustaf
5
1982
On the control of the global error in stiff initial value problems. Zbl 0473.65046
Dahlquist, Germund
2
1982
Extrapolation of asymptotic expansions by a modified Aitken \(delta^ 2- \)formula. Zbl 0461.65003
Bjorstad, Petter; Dahlquist, Germund; Grosse, Eric
17
1981
On the local and global errors of one-leg methods. Zbl 0475.65044
Dahlquist, Germund
6
1981
Error propagation in stiff differential systems of singular perturbation type. Zbl 0473.65043
Soederlind, Gustaf; Dahlquist, Germund
3
1981
Some properties of linear multistep and one-leg methods for ordinary differential equations. Zbl 0489.65044
Dahlquist, Germund
16
1979
Some contractivity questions for one-leg- and linear multistep methods. Zbl 0489.65045
Dahlquist, Germund
8
1979
Bounds for the error in linear systems. Zbl 0417.65018
Dahlquist, Germund; Golub, Gene H.; Nash, Stephen G.
7
1979
Some properties of linear multistep and one-leg methods for ordinary differential equations. Zbl 0436.65048
Dahlquist, Germund
6
1979
G-stability is equivalent to A-stability. Zbl 0413.65057
Dahlquist, Germund
95
1978
On accuracy and unconditional stability of linear multistep methods for second order differential equations. Zbl 0378.65043
Dahlquist, Germund
56
1978
Positive functions and some applications to stability questions for numerical methods. Zbl 0457.65049
Dahlquist, Germund
8
1978
On the relation of G-stability to other stability concepts for linear multistep methods. Zbl 0438.65073
Dahlquist, Germund
9
1977
Error analysis for a class of methods for stiff non-linear initial value problems. Zbl 0352.65042
Dahlquist, Germund
46
1976
Problems related to the numerical treatment of stiff differential equations. Zbl 0275.65023
Dahlquist, Germund
75
1974
Bounds for the error of linear systems of equations using the theory of moments. Zbl 0238.65012
Dahlquist, Germund; Eisenstat, Stanley C.; Golub, Gene H.
18
1972
On the computation of slowly convergent Fourier integrals. Zbl 0253.65075
Gustafson, Sven-Åke; Dahlquist, G.
5
1972
On the design of nested iterations for elliptic difference equations. Zbl 0244.65073
Kronsjö, Lydia; Dahlquist, Germund
4
1972
Numerische Methoden. Aus dem Schwedischen übersetzt von Norbert Krier und Peter Spellucci. Zbl 0272.65002
Björck, Åke; Dahlquist, Germund
1
1972
A numerical method for some ordinary differential equations with large Lipschitz constants. Zbl 0194.18803
Dahlquist, G.
11
1969
Comparison of the method of averages with the method fo least squares. Zbl 0176.46303
Dahlquist, G.; Sjöberg, B.; Svensson, P.
4
1968
On rigorous error bounds in the numerical solution of ordinary differential equations. Zbl 0161.12403
Dahlquist, G. G.
3
1966
Convergence acceleration from the point of view of linear programming. Zbl 0146.14202
Dahlquist, G.; Gustafson, Sven-Åke; Siklosi, K.
11
1965
A special stability problem for linear multistep methods. Zbl 0123.11703
Dahlquist, Germund G.
348
1963
Stability questions for some numerical methods for ordinary differential equations. Zbl 0123.32405
Dahlquist, Germund G.
4
1963
Stability and error bounds in the numerical integration of ordinary differential equations. Zbl 0085.33401
Dahlquist, Germund
138
1959
Convergence and stability in the numerical integration of ordinary differential equations. Zbl 0071.11803
Dahlquist, Germund
139
1956
Convergence and stability for a hyperbolic difference equation with analytic initial-values. Zbl 0055.35801
Dahlquist, Germund
6
1954
Die Monte-Carlo-Methode. Zbl 0056.12201
Dahlquist, Germund
2
1954
On the analytic continuation of Eulerian products. Zbl 0046.27205
Dahlquist, Germund
7
1952
Fehlerabschätzungen bei Differenzenmethoden zur numerischen Integration gewöhnlicher Differentialgleichungen. Zbl 0043.33601
Dahlquist, Germund
5
1951
all top 5

Cited by 1,300 Authors

18 Nevanlinna, Olavi
16 Butcher, John C.
16 Spijker, Marc N.
15 Zlatev, Zahari
13 Jeltsch, Rolf
12 Dahlquist, Germund
12 Hairer, Ernst
12 Lubich, Christian
12 Zhang, Chengjian
10 Cash, Jeff R.
9 Nørsett, Syvert Paul
9 Wang, Wansheng
8 Fatunla, Simeon Ola
8 Fung, Tsz Chai
8 Hundsdorfer, Willem H.
8 Kraaijevanger, J. F. B. M.
8 Sanz-Serna, Jesús María
8 Söderlind, Gustaf
8 Strehmel, Karl
8 Wen, Liping
7 Ansorge, Rainer
7 Gustafson, Sven-Åke
7 Hojjati, Gholamreza
7 Kohaupt, Ludwig G.
7 Li, Shoufu
7 Liniger, Werner
7 Trigiante, Donato
7 Verwer, Jan G.
7 Weiner, Rüdiger
6 Akrivis, Georgios D.
6 Auzinger, Winfried
6 Frank, Reinhard
6 Havasi, Ágnes
6 Huang, Chengming
6 Layton, William J.
6 Wanner, Gerhard
6 Xiang, Shuhuang
5 Cooper, Gavin J.
5 Faragó, István
5 Golub, Gene Howard
5 Hill, Adrian T.
5 Iserles, Arieh
5 Ketcheson, David I.
5 Kirlinger, Gabriela
5 Kovács, Balázs
5 Shampine, Lawrence Fred
5 Stetter, Hans J.
5 Tamma, Kumar K.
5 Xiao, Aiguo
5 Zhou, Xiangmin
4 Abdi, Ali
4 Axelsson, Axel Owe Holger
4 Baccouch, Mahboub
4 Brugnano, Luigi
4 Brunner, Hermann
4 Burrage, Kevin
4 Chawla, Man M.
4 Dimov, Ivan Todor
4 Georgiev, Krassimir
4 Hillion, Pierre T. M.
4 Homeier, Herbert H. H.
4 Ismail, Fudziah Bt.
4 Kulikov, Gennady Yur’evich
4 Lambers, James V.
4 Li, Jiyong
4 Milovanović, Gradimir V.
4 Okuonghae, Robert I.
4 Oliveira, Paula
4 Reichel, Lothar
4 Reimer, Manfred
4 Rokhlin, Vladimir
4 Schneid, Josef
4 Senu, Norazak
4 Simos, Theodore E.
4 Ström, Torsten
4 Trenchea, Catalin
4 Xu, Da
4 Yu, Yuexin
3 Abdullah, Abdul Rahman Bin
3 Aceto, Lidia
3 Adeniyi, Rapheal B.
3 Area, Iván
3 Arévalo, Carmen
3 Bickart, Theodore A.
3 Bruno, Oscar P.
3 Bursi, Oreste S.
3 Dekker, Kees
3 Deuflhard, Peter
3 Deutsch, Emeric
3 Dimitrov, Dimitar K.
3 Engquist, Bjorn E.
3 Enright, Wayne H.
3 Farzi, Javad
3 Gottlieb, Sigal
3 Grigorieff, Rolf Dieter
3 Gupta, Gopal K.
3 Hull, Thomas E.
3 Ibrahim, Zarina Bibi Binti
3 Ikhile, M. N. O.
3 Ikhile, Monday Ndidi Oziegbe
...and 1,200 more Authors
all top 5

Cited in 197 Serials

90 BIT
90 Journal of Computational and Applied Mathematics
77 Numerische Mathematik
62 Applied Numerical Mathematics
58 Mathematics of Computation
52 Applied Mathematics and Computation
51 BIT. Nordisk Tidskrift for Informationsbehandling
39 Journal of Computational Physics
37 Computers & Mathematics with Applications
32 Numerical Algorithms
31 Computer Methods in Applied Mechanics and Engineering
26 Computing
23 International Journal of Computer Mathematics
20 Journal of Mathematical Analysis and Applications
12 Journal of Scientific Computing
11 Computer Physics Communications
11 International Journal for Numerical Methods in Engineering
11 Applied Mathematics Letters
10 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
10 Mathematics and Computers in Simulation
10 SIAM Journal on Numerical Analysis
9 Linear Algebra and its Applications
7 Aplikace Matematiky
6 Automatica
6 Numerical Methods for Partial Differential Equations
6 Applied Mathematical Modelling
5 International Journal of Mathematical Education in Science and Technology
5 Calcolo
5 Mathematische Zeitschrift
5 SIAM Journal on Scientific Computing
5 Mathematical Problems in Engineering
5 Communications in Nonlinear Science and Numerical Simulation
4 Computers and Fluids
4 International Journal of Control
4 Numerical Functional Analysis and Optimization
4 Journal of Complexity
4 SIAM Journal on Matrix Analysis and Applications
4 Advances in Computational Mathematics
4 Afrika Matematika
3 Journal of the Franklin Institute
3 Mathematical Biosciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3
3 Stochastic Analysis and Applications
3 COMPEL
3 Mathematical and Computer Modelling
3 Computational Mathematics and Mathematical Physics
3 Celestial Mechanics
3 Communications in Statistics. Theory and Methods
3 Numerical Linear Algebra with Applications
3 Journal of Mathematical Chemistry
3 International Journal of Computational Fluid Dynamics
3 Abstract and Applied Analysis
3 Journal of Applied Mathematics
2 Applicable Analysis
2 Journal of Mathematical Physics
2 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
2 Fuzzy Sets and Systems
2 Journal of Differential Equations
2 Journal of Number Theory
2 Meccanica
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Physica D
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Celestial Mechanics and Dynamical Astronomy
2 Journal of Nonlinear Science
2 Applied and Computational Harmonic Analysis
2 International Journal of Numerical Methods for Heat & Fluid Flow
2 Parallel Algorithms and Applications
2 Journal of Vibration and Control
2 Discrete Dynamics in Nature and Society
2 Differential Equations
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics and Computing
2 SIAM Journal on Applied Dynamical Systems
2 Advances in Difference Equations
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Statistics and Computing
2 Nonlinear Analysis. Theory, Methods & Applications
2 International Journal of Applied and Computational Mathematics
1 Biological Cybernetics
1 Communications in Mathematical Physics
1 Communications on Pure and Applied Mathematics
1 Information Processing Letters
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Molecular Simulation
1 Chaos, Solitons and Fractals
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Archiv der Mathematik
1 Blätter (Deutsche Gesellschaft für Versicherungsmathematik)
1 Functiones et Approximatio. Commentarii Mathematici
1 Information Sciences
1 Journal of Applied Probability
...and 97 more Serials
all top 5

Cited in 47 Fields

871 Numerical analysis (65-XX)
330 Ordinary differential equations (34-XX)
127 Partial differential equations (35-XX)
58 Fluid mechanics (76-XX)
42 Mechanics of deformable solids (74-XX)
40 Mechanics of particles and systems (70-XX)
39 Approximations and expansions (41-XX)
38 Integral equations (45-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
29 Dynamical systems and ergodic theory (37-XX)
26 Systems theory; control (93-XX)
23 Probability theory and stochastic processes (60-XX)
20 Computer science (68-XX)
15 Statistics (62-XX)
15 Operations research, mathematical programming (90-XX)
14 Biology and other natural sciences (92-XX)
13 Difference and functional equations (39-XX)
12 Special functions (33-XX)
12 Operator theory (47-XX)
11 Quantum theory (81-XX)
10 History and biography (01-XX)
10 Functions of a complex variable (30-XX)
9 Integral transforms, operational calculus (44-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Optics, electromagnetic theory (78-XX)
8 Number theory (11-XX)
8 Information and communication theory, circuits (94-XX)
7 Sequences, series, summability (40-XX)
6 Statistical mechanics, structure of matter (82-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Real functions (26-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 General and overarching topics; collections (00-XX)
4 Combinatorics (05-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
3 Mathematical logic and foundations (03-XX)
2 Astronomy and astrophysics (85-XX)
1 Field theory and polynomials (12-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Functional analysis (46-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)
1 Mathematics education (97-XX)

Citations by Year

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