Germund G. Dahlquist

Germund G. Dahlquist's AcademicInfluence.com Rankings

Computer Science

#9228

World Rank

#9694

Historical Rank

Numerical Analysis

#47

World Rank

#50

Historical Rank

computer-science Degrees

Germund G. Dahlquist

Mathematics

#7348

World Rank

#10003

Historical Rank

Measure Theory

#2080

World Rank

#2519

Historical Rank

mathematics Degrees

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Computer Science
Mathematics

Germund G. Dahlquist's Degrees

PhD Numerical Analysis KTH Royal Institute of Technology

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Germund G. Dahlquist's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Numerical methods (1974) (3887)
A special stability problem for linear multistep methods (1963) (1167)
Convergence and stability in the numerical integration of ordinary differential equations (1956) (529)
Stability and error bounds in the numerical integration of ordinary differential equations (1961) (422)
G-stability is equivalent toA-stability (1978) (199)
Numerical methods in scientific computing (2008) (194)
Numerical Methods in Scientific Computing: Volume 1 (2008) (172)
Error analysis for a class of methods for stiff non-linear initial value problems (1976) (135)
On accuracy and unconditional stability of linear multistep methods for second order differential equations (1978) (122)
Bounds for the error of linear systems of equations using the theory of moments (1972) (70)
Generalized disks of contractivity for explicit and implicit Runge-Kutta methods (1979) (62)
Stability of Two-Step Methods for Variable Integration Steps (1983) (55)
Post-Secondary Education (1983) (50)
Survey of stiff ordinary differential equations (1970) (47)
Bounds for the error in linear systems (1979) (39)
Are the numerical methods and software satisfactory for chemical kinetics (1982) (37)
On One-Leg Multistep Methods (1983) (37)
Extrapolation of asymptotic expansions by a modified Aitken δ2-formula (1979) (36)
Positive Functions and some Applications to Stability Questions for Numerical Methods (1978) (31)
On the analytic continuation of Eulerian products (1952) (30)
33 years of numerical instability, Part I (1985) (28)
On the design of nested iterations for elliptic difference equations (1972) (26)
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-christoffel rules, I (1997) (20)
On the uniform power-boundedness of a family of matrices and the applications to one-leg and linear multistep methods (1983) (19)
A numerical method for some ordinary differential equations with large Lipschitz constants (1968) (18)
A “multigrid” extension of theFFT for the numerical inversion of Fourier and Laplace Transforms (1993) (17)
On matrix majorants and minorants, with applications to differential equations☆ (1983) (17)
Convergence acceleration from the point of view of linear programming (1965) (17)
On the control of the global error in stiff initial value problems (1982) (11)
Convergence and stability for a hyperbolic difference equation with analytic initial-values (1954) (10)
Comparison of the Method of Averages with the Method of Least Squares (1968) (10)
On an Inverse Non-Linear Diffusion Problem (1983) (9)
On transformations of graded matrices, with applications to stiff ODE's (1985) (9)
The Sets of Smooth Solutions of Differential and Difference Equations (1974) (7)
On summation formulas due to Plana, Lindelöf and Abel, and related Gauss-Christoffel rules, II (1997) (6)
5. Numerical Integration (2008) (3)
On Summation Formulas Due to Plana, Lindelöf and Abel, and Related Gauss-Christoffel Rules, III (1999) (3)
Computations related to G-stability of linear multistep methods. [Backward differentiation, Adams-Bashforth, and Adams-Moulton methods] (1979) (2)
A multigrid FFT algorithm for slowly convergent inverse Laplace transforms (1994) (1)
A randomly generated program for automatic identity checking (1975) (1)
4. Interpolation and Approximation (2008) (1)
6. Solving Scalar Nonlinear Equations (2008) (0)
Contents, Vol. 28, 1976 (1976) (0)
Symposium on Stability of Numerical Calculations (1962) (0)
1. Principles of Numerical Calculations (2008) (0)
Contents, Vol. 40, 1981 (1981) (0)
2. How to Obtain and Estimate Accuracy (2008) (0)
SU 326 P 30-65 COMPUTATIONS RELATED TO G-STABILITY OF LINEAR MULTISTEP METHODS (1998) (0)
3. Series, Operators, and Continued Fractions (2008) (0)

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Germund G. Dahlquist's Academic­Influence.com Rankings

Germund G. Dahlquist's Degrees

Why Is Germund G. Dahlquist Influential?

Germund G. Dahlquist's Published Works

Published Works

Germund G. Dahlquist's AcademicInfluence.com Rankings