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1

On the derivation of iterated sequence transformations for the acceleration of convergence and the summation of divergent series

Ernst Joachim Weniger

Journal:

Computer Physics Communications

Year:

1991

Language:

english

File:

PDF, 2.12 MB

english, 1991

2

Nonlinear sequence transformations for the acceleration of convergence and the summation of divergent series

Ernst Joachim Weniger

Journal:

Computer Physics Reports

Year:

1989

Language:

english

File:

PDF, 13.60 MB

english, 1989

3

Interpolation between sequence transformations

Ernst Joachim Weniger

Journal:

Numerical Algorithms

Year:

1992

Language:

english

File:

PDF, 501 KB

english, 1992

4

Addition theorems as three-dimensional Taylor expansions

Ernst Joachim Weniger

Journal:

International Journal of Quantum Chemistry

Year:

2000

Language:

english

File:

PDF, 351 KB

english, 2000

5

Programs for the coupling of spherical harmonics

E.Joachim Weniger, E.Otto Steinborn

Journal:

Computer Physics Communications

Year:

1982

Language:

english

File:

PDF, 591 KB

english, 1982

6

Very accurate summation for the infinite coupling limit of the perturbation series expansions of anharmonic oscillators

Ernst Joachim Weniger, Jiří Čížek, Francine Vinette

Journal:

Physics Letters A

Year:

1991

Language:

english

File:

PDF, 534 KB

english, 1991

7

Irregular input data in convergence acceleration and summation processes: General considerations and some special Gaussian hypergeometric series as model problems

Ernst Joachim Weniger

Journal:

Computer Physics Communications

Year:

2001

Language:

english

File:

PDF, 261 KB

english, 2001

8

Prediction properties of Aitken's iterated Δ2 process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm

Ernst Joachim Weniger

Journal:

Journal of Computational and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 189 KB

english, 2000

9

Addition theorems as three-dimensional Taylor expansions. II. B functions and other exponentially decaying functions

Ernst Joachim Weniger

Journal:

International Journal of Quantum Chemistry

Year:

2002

Language:

english

File:

PDF, 187 KB

english, 2002

10

Summation of divergent power series by means of factorial series

Ernst Joachim Weniger

Journal:

Applied Numerical Mathematics

Year:

2010

Language:

english

File:

PDF, 211 KB

english, 2010

11

Convergence Acceleration Algorithm via an Equation Related to the Lattice Boussinesq Equation

He, Yi, Hu, Xing-Biao, Sun, Jian-Qing, Weniger, Ernst Joachim

Journal:

SIAM Journal on Scientific Computing

Year:

2011

Language:

english

File:

PDF, 182 KB

english, 2011

12

The Fourier transforms of some exponential-type basis functions and their relevance to multicenter problems

Weniger, E. Joachim

Journal:

The Journal of Chemical Physics

Year:

1983

Language:

english

File:

PDF, 1.12 MB

english, 1983

13

Effective characteristic polynomials and two-point Padé approximants as summation techniques for the strongly divergent perturbation expansions of the ground state energies of anharmonic oscillators

Čížek, Jiří, Weniger, Ernst Joachim, Bracken, Paul, Špirko, Vladimír

Journal:

Physical Review E

Year:

1996

Language:

english

File:

PDF, 889 KB

english, 1996

14

Practical Extrapolation Methods, Theory and Applicationsby A. Sidi

Review by: Claude Brezinski and Ernst Joachim Weniger

Journal:

Year:

2004

Language:

english

File:

PDF, 518 KB

english, 2004

15

Construction of the Strong Coupling Expansion for the Ground State Energy of the Quartic, Sextic, and Octic Anharmonic Oscillator via a Renormalized Strong Coupling Expansion

Weniger, Ernst Joachim

Journal:

Physical Review Letters

Year:

1996

Language:

english

File:

PDF, 121 KB

english, 1996

16

Efficient evaluation of infinite-series representations for overlap, two-center nuclear attraction, and Coulomb integrals using nonlinear convergence accelerators

Grotendorst, Johannes, Weniger, E. Joachim, Steinborn, E. Otto

Journal:

Physical Review A

Year:

1986

Language:

english

File:

PDF, 1.65 MB

english, 1986

17

Comment on "Hydrogenlike orbitals of bound states referred to another coordinate"

Weniger, E. Joachim, Steinborn, E. Otto

Journal:

Physical Review A

Year:

1984

Language:

english

File:

PDF, 186 KB

english, 1984

18

Addition theorems for B functions and other exponentially declining functions

Weniger, E. Joachim, Steinborn, E. Otto

Journal:

Journal of Mathematical Physics

Year:

1989

Language:

english

File:

PDF, 958 KB

english, 1989

19

Unified analytical treatment of overlap, two-center nuclear attraction, and Coulomb integrals of B functions via the Fourier-transform method

Weniger, E. Joachim, Grotendorst, Johannes, Steinborn, E. Otto

Journal:

Physical Review A

Year:

1986

Language:

english

File:

PDF, 1.24 MB

english, 1986

20

Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation

Borghi, Riccardo, Weniger, Ernst Joachim

Journal:

Applied Numerical Mathematics

Year:

2015

Language:

english

File:

PDF, 971 KB

english, 2015

21

Weakly convergent expansions of a plane wave and their use in Fourier integrals

Weniger, E. Joachim

Journal:

Journal of Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 1.39 MB

english, 1985

22

Comment on ‘‘Molecular overlap integrals with exponential‐type orbitals’’

Weniger, E. Joachim, Steinborn, E. Otto

Journal:

The Journal of Chemical Physics

Year:

1987

Language:

english

File:

PDF, 322 KB

english, 1987

23

Computation of the Whittaker function of the second kind by summing its divergent asymptotic series with the help of nonlinear sequence transformations

Weniger, Ernst Joachim

Journal:

Computers in Physics

Year:

1996

Language:

english

File:

PDF, 1.31 MB

english, 1996

24

Nonlinear sequence transformations: A computational tool for quantum mechanical and quantum chemical calculations

Ernst Joachim Weniger

Journal:

International Journal of Quantum Chemistry

Year:

1996

Language:

english

File:

PDF, 1.44 MB

english, 1996

25

Bulk properties from finite cluster calculations. VIII. Benchmark calculations of the efficiency of extrapolation methods for the HF and MP2 energies of polyacenes

Jerzy Cioslowski, Ernst Joachim Weniger

Journal:

Journal of Computational Chemistry

Year:

1993

Language:

english

File:

PDF, 1.40 MB

english, 1993

26

A Convergent Renormalized Strong Coupling Perturbation Expansion for the Ground State Energy of the Quartic, Sextic, and Octic Anharmonic Oscillator

Ernst Joachim Weniger

Journal:

Annals of Physics

Year:

1996

Language:

english

File:

PDF, 886 KB

english, 1996

27

Rational approximations for the modified Bessel function of the second kind

Ernst Joachim Weniger, Jiři Cížek

Journal:

Computer Physics Communications

Year:

1990

Language:

english

File:

PDF, 1.90 MB

english, 1990

28

Preface

Claude Brezinski, Michela Redivo-Zaglia, Ernst Joachim Weniger

Journal:

Applied Numerical Mathematics

Year:

2010

Language:

english

File:

PDF, 73 KB

english, 2010

29

An introduction to the topics presented at the conference “Approximation and extrapolation of convergent and divergent sequences and series” CIRM Luminy: September 28, 2009–October 2, 2009

Ernst Joachim Weniger

Journal:

Applied Numerical Mathematics

Year:

2010

Language:

english

File:

PDF, 107 KB

english, 2010

30

Programs for the coupling of spherical harmonics

E. Joachim Weniger, E. Otto Steinborn

Journal:

Computer Physics Communications

Year:

1984

Language:

english

File:

PDF, 53 KB

english, 1984

31

Convergence acceleration via combined nonlinear-condensation transformations

Ulrich D. Jentschura, Peter J. Mohr, Gerhard Soff, Ernst Joachim Weniger

Journal:

Computer Physics Communications

Year:

1999

Language:

english

File:

PDF, 2.33 MB

english, 1999

32

The strange history of B functions or how theoretical chemists and mathematicians do (not) interact

Ernst Joachim Weniger

Journal:

International Journal of Quantum Chemistry

Year:

2009

Language:

english

File:

PDF, 141 KB

english, 2009

33

Erratum

Ernst Joachim Weniger

Journal:

International Journal of Quantum Chemistry

Year:

1996

Language:

english

File:

PDF, 190 KB

english, 1996

34

Overlap integrals ofBfunctions

E. Joachim Weniger, E. Otto Steinborn

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Year:

1988

Language:

english

File:

PDF, 681 KB

english, 1988

35

Nuclear attraction and electron interaction integrals of exponentially decaying functions and the Poisson equation

E. Otto Steinborn, E. Joachim Weniger

Journal:

Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)

Year:

1992

Language:

english

File:

PDF, 890 KB

english, 1992

36

On the mathematical nature of Guseinov’s rearranged one-range addition theorems for Slater-type functions

Ernst Joachim Weniger

Journal:

Journal of Mathematical Chemistry

Year:

2012

Language:

english

File:

PDF, 725 KB

english, 2012

37

On the summation of some divergent hypergeometric series and related perturbation expansions

Ernst Joachim Weniger

Journal:

Journal of Computational and Applied Mathematics

Year:

1990

Language:

english

File:

PDF, 840 KB

english, 1990

38

Sequence transformations for the efficient evaluation of infinite series representations of some molecular integrals with exponentially decaying basis functions

E.Otto Steinborn, E.Joachim Weniger

Journal:

Journal of Molecular Structure: THEOCHEM

Year:

1990

Language:

english

File:

PDF, 476 KB

english, 1990

39

Utilization and costs of conventional and alternative pharmaceuticals in children: results from the German GINIplus and LISAplus birth cohort studies

Salvatore Italia, Ariane Batscheider, Joachim Heinrich, Christina Wenig, Carl Peter Bauer, Sibylle Koletzko, Irina Lehmann, Olf Herbarth, Andrea von Berg, Dietrich Berdel, Barbara Hoffmann, Beate Scha

Journal:

Pharmacoepidemiology and Drug Safety

Year:

2012

Language:

english

File:

PDF, 465 KB

english, 2012

40

Evaluation of ethnobotanically selected Benin medicinal plants for their in vitro antiplasmodial activity

Bernard Weniger, Latifou Lagnika, Catherine Vonthron-Sénécheau, Tomabu Adjobimey, Joachim Gbenou, Mansourou Moudachirou, Reto Brun, Robert Anton, Ambaliou Sanni

Journal:

Journal of Ethnopharmacology

Year:

2004

Language:

english

File:

PDF, 89 KB

english, 2004

41

On the analyticity of Laguerre series

Weniger, Ernst Joachim

Journal:

Journal of Physics A Mathematical and Theoretical

Year:

2008

Language:

english

File:

PDF, 520 KB

english, 2008

42

Performance of superconvergent perturbation theory

Weniger, Ernst Joachim

Journal:

Physical Review A

Year:

1997

Language:

english

File:

PDF, 102 KB

english, 1997

43

A simple derivation of the addition theorems of the irregular solid harmonics, the Helmholtz harmonics, and the modified Helmholtz harmonics

Weniger, E. Joachim, Steinborn, E. Otto

Journal:

Journal of Mathematical Physics

Year:

1985

Language:

english

File:

PDF, 769 KB

english, 1985

44

Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes

Bender, Carl M., Weniger, Ernst Joachim

Journal:

Journal of Mathematical Physics

Year:

2001

Language:

english

File:

PDF, 380 KB

english, 2001

45

functions

Weniger, E. Joachim, Steinborn, E. Otto

Journal:

Physical Review A

Year:

1983

Language:

english

File:

PDF, 780 KB

english, 1983

46

Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory

Weniger, Ernst Joachim

Journal:

Journal of Mathematical Physics

Year:

2004

Language:

english

File:

PDF, 595 KB

english, 2004

47

New representations for the spherical tensor gradient and the spherical delta function

Weniger, E. Joachim

Journal:

Journal of Mathematical Physics

Year:

1983

Language:

english

File:

PDF, 970 KB

english, 1983

48

The Spherical Tensor Gradient Operator

Weniger, Ernst Joachim

Journal:

Collection of Czechoslovak Chemical Communications

Year:

2005

Language:

english

File:

PDF, 305 KB

english, 2005

49

Untersuchungen über den Nährstoff- und Energieansatz verschiedener Schweinerassen im Hinblick auf Lebendgewicht, Tageszunahme und Ernährung

Weniger, Joachim-Hans

Journal:

Archiv für Tierernaehrung

Year:

1955

Language:

german

File:

PDF, 2.41 MB

german, 1955

50

The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations

Weniger, Ernst Joachim, Čížek, Jiří, Vinette, Francine

Journal:

Journal of Mathematical Physics

Year:

1993

Language:

english

File:

PDF, 3.34 MB

english, 1993