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Walz, Guido

Co-Author Distance
Author ID: walz.guido Recent zbMATH articles by "Walz, Guido"
Published as: Walz, Guido; Walz, G.
External Links: MGP · dblp
Documents Indexed: 53 Publications since 1986, including 18 Books
12 Contributions as Editor
Reviewing Activity: 108 Reviews
Co-Authors: 12 Co-Authors with 18 Joint Publications
493 Co-Co-Authors
all top 5

Co-Authors

47 single-authored
6 Rießinger, Thomas
6 Zeilfelder, Frank
5 Meinardus, Gunter
5 Nürnberger, Günther
1 Brezinski, Claude
1 Davydov, Oleg V.
1 Diethelm, Kai
1 Evans, David John
1 Goldman, Ronald N.
1 Hornberger, Klaus
1 Schmidt, Jochen Wilhelm
1 ter Morsche, Hennie G.
all top 5

Serials

6 Essentials
3 Journal of Approximation Theory
3 Journal of Computational and Applied Mathematics
2 IMA Journal of Numerical Analysis
2 BIT
2 Calcolo
2 Computing
2 Numerische Mathematik
2 Complex Variables. Theory and Application
2 Numerical Algorithms
2 Advances in Computational Mathematics
2 Mathematical Research
1 Computers and Structures
1 Mathematical Methods in the Applied Sciences
1 Journal of Mathematical Economics
1 Computer Aided Geometric Design
1 Applied Numerical Mathematics
1 Journal of Information Processing and Cybernetics
1 Applied Mathematics Letters
1 International Journal of Computer Mathematics
1 Communications in Applied Analysis
1 ISNM. International Series of Numerical Mathematics
all top 5

Fields

29 Numerical analysis (65-XX)
27 Approximations and expansions (41-XX)
25 General and overarching topics; collections (00-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Mathematics education (97-XX)
4 Functions of a complex variable (30-XX)
3 Real functions (26-XX)
3 Special functions (33-XX)
3 Sequences, series, summability (40-XX)
2 History and biography (01-XX)
2 Partial differential equations (35-XX)
2 Computer science (68-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Geometry (51-XX)
1 Mechanics of deformable solids (74-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

31 Publications have been cited 264 times in 227 Documents Cited by ▼ Year ▼
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
114
1997
Identities for trigonometric B-splines with an application to curve design. Zbl 0866.41010
Walz, Guido
32
1997
Sequences of transformations and triangular recursion schemes, with applications in numerical analysis. Zbl 0732.65004
Brezinski, Claude; Walz, Guido
23
1991
Asymptotics and extrapolation. Zbl 0872.41014
Walz, Guido
13
1996
Trigonometric Bézier and Stancu polynomials over intervals and triangles. Zbl 0906.68167
Walz, Guido
13
1997
Asymptotic expansions for multivariate polynomial approximation. Zbl 0964.41004
Walz, Guido
9
2000
Error analysis in interpolation by bivariate \(C^1\)-splines. Zbl 0922.41001
Nürnberger, G.; Walz, G.
8
1998
Interpolation by bivariate splines on crosscut partitions. Zbl 0906.41005
Nürnberger, G.; Davydov, O. V.; Walz, G.; Zeilfelder, F.
5
1997
Asymptotics and extrapolation. Zbl 0852.65002
Walz, Guido
4
1996
Best approximation by free knot splines. Zbl 0981.41007
Meinardus, Günter; Walz, Guido
4
2001
Approximation von Funktionen durch asymptotische Entwicklungen und Eliminationsprozeduren. Zbl 0631.65003
Walz, Guido
4
1986
On the Chebyshev norm of polynomial \(B\)-splines. Zbl 0832.41008
Meinardus, Günter; ter Morsche, Hennie; Walz, Guido
3
1995
Generalized divided differences, with applications to generalized B- splines. Zbl 0772.41015
Walz, G.
3
1992
Effiziente Berechnung spezieller Funktionen mittels asymptotischer Entwicklungen und Eliminationsprozeduren. (An efficient calculation of special functions by asymptotic expansions and elimination procedures). Zbl 0691.41035
Walz, Guido
3
1988
Remarks on exponential splines, in particular a contour integral representation of exponential B-splines. Zbl 0692.41016
Walz, Guido
3
1989
Spline functions in the complex plane. (Spline-Funktionen im Komplexen.) Zbl 0744.30032
Walz, Guido
3
1991
Computing the matrix exponential and other matrix functions. Zbl 0641.65040
Walz, Guido
3
1988
A unified approach to \(B\)-spline recursions and knot insertion, with application to new recursion formulas. Zbl 0836.65009
Walz, Guido
2
1995
Bivariate segment approximation and splines. Zbl 0866.41006
Meinardus, G.; Nürnberger, G.; Walz, G.
2
1996
A contour integral representation of linear extrapolation methods. Zbl 0655.65003
Walz, Guido
2
1989
Numerical computation of the matrix exponential. Zbl 0707.65026
Walz, Guido
1
1988
B-Splines im Komplexen. Zbl 0719.30028
Walz, Guido
1
1990
Numerical solution of initial value problems by nonlinear trapezoidal formulae and extrapolation methods. Zbl 0828.65091
Evans, D. J.; Walz, G.
1
1994
Dictionary of mathematics. Vol. 3: Inp to Mon. (Lexikon der Mathematik. Band 3: Inp bis Mon.) Zbl 0988.00011
1
2001
An implicit integration algorithm for plane stress viscoplastic constitutive equations. Zbl 0715.73085
Walz, G.; Hornberger, K.; Stamm, H.
1
1990
On the solution of Beltrami’s equation by complex planar splines. Zbl 0722.30030
Walz, Guido
1
1990
Asymptotic expansions and acceleration of convergence for higher order iteration processes. Zbl 0733.65001
Walz, Guido
1
1991
Increasing the convergence modulus of an asymptotic expansion: An algorithm for numerical differentiation. Zbl 0746.41031
Walz, G.
1
1990
In memoriam. The work of Lothar Collatz in approximation theory. Zbl 0745.01012
Meinardus, G.; Nürnberger, G.; Riessinger, Th.; Walz, G.
1
1991
Multivariate approximation and splines. Papers of the international conference, Mannheim, Germany, September 7–10, 1996. Zbl 0874.00037
1
1997
Error bounds and stopping rules for extrapolation methods. Zbl 0672.65005
Walz, Guido
1
1989
Best approximation by free knot splines. Zbl 0981.41007
Meinardus, Günter; Walz, Guido
4
2001
Dictionary of mathematics. Vol. 3: Inp to Mon. (Lexikon der Mathematik. Band 3: Inp bis Mon.) Zbl 0988.00011
1
2001
Asymptotic expansions for multivariate polynomial approximation. Zbl 0964.41004
Walz, Guido
9
2000
Error analysis in interpolation by bivariate \(C^1\)-splines. Zbl 0922.41001
Nürnberger, G.; Walz, G.
8
1998
Numerical solution of fractional order differential equations by extrapolation. Zbl 0926.65070
Diethelm, Kai; Walz, Guido
114
1997
Identities for trigonometric B-splines with an application to curve design. Zbl 0866.41010
Walz, Guido
32
1997
Trigonometric Bézier and Stancu polynomials over intervals and triangles. Zbl 0906.68167
Walz, Guido
13
1997
Interpolation by bivariate splines on crosscut partitions. Zbl 0906.41005
Nürnberger, G.; Davydov, O. V.; Walz, G.; Zeilfelder, F.
5
1997
Multivariate approximation and splines. Papers of the international conference, Mannheim, Germany, September 7–10, 1996. Zbl 0874.00037
1
1997
Asymptotics and extrapolation. Zbl 0872.41014
Walz, Guido
13
1996
Asymptotics and extrapolation. Zbl 0852.65002
Walz, Guido
4
1996
Bivariate segment approximation and splines. Zbl 0866.41006
Meinardus, G.; Nürnberger, G.; Walz, G.
2
1996
On the Chebyshev norm of polynomial \(B\)-splines. Zbl 0832.41008
Meinardus, Günter; ter Morsche, Hennie; Walz, Guido
3
1995
A unified approach to \(B\)-spline recursions and knot insertion, with application to new recursion formulas. Zbl 0836.65009
Walz, Guido
2
1995
Numerical solution of initial value problems by nonlinear trapezoidal formulae and extrapolation methods. Zbl 0828.65091
Evans, D. J.; Walz, G.
1
1994
Generalized divided differences, with applications to generalized B- splines. Zbl 0772.41015
Walz, G.
3
1992
Sequences of transformations and triangular recursion schemes, with applications in numerical analysis. Zbl 0732.65004
Brezinski, Claude; Walz, Guido
23
1991
Spline functions in the complex plane. (Spline-Funktionen im Komplexen.) Zbl 0744.30032
Walz, Guido
3
1991
Asymptotic expansions and acceleration of convergence for higher order iteration processes. Zbl 0733.65001
Walz, Guido
1
1991
In memoriam. The work of Lothar Collatz in approximation theory. Zbl 0745.01012
Meinardus, G.; Nürnberger, G.; Riessinger, Th.; Walz, G.
1
1991
B-Splines im Komplexen. Zbl 0719.30028
Walz, Guido
1
1990
An implicit integration algorithm for plane stress viscoplastic constitutive equations. Zbl 0715.73085
Walz, G.; Hornberger, K.; Stamm, H.
1
1990
On the solution of Beltrami’s equation by complex planar splines. Zbl 0722.30030
Walz, Guido
1
1990
Increasing the convergence modulus of an asymptotic expansion: An algorithm for numerical differentiation. Zbl 0746.41031
Walz, G.
1
1990
Remarks on exponential splines, in particular a contour integral representation of exponential B-splines. Zbl 0692.41016
Walz, Guido
3
1989
A contour integral representation of linear extrapolation methods. Zbl 0655.65003
Walz, Guido
2
1989
Error bounds and stopping rules for extrapolation methods. Zbl 0672.65005
Walz, Guido
1
1989
Effiziente Berechnung spezieller Funktionen mittels asymptotischer Entwicklungen und Eliminationsprozeduren. (An efficient calculation of special functions by asymptotic expansions and elimination procedures). Zbl 0691.41035
Walz, Guido
3
1988
Computing the matrix exponential and other matrix functions. Zbl 0641.65040
Walz, Guido
3
1988
Numerical computation of the matrix exponential. Zbl 0707.65026
Walz, Guido
1
1988
Approximation von Funktionen durch asymptotische Entwicklungen und Eliminationsprozeduren. Zbl 0631.65003
Walz, Guido
4
1986
all cited Publications top 5 cited Publications
all top 5

Cited by 337 Authors

14 Brezinski, Claude
14 Walz, Guido
9 Beshtokov, Murat Khamidbievich
8 Benchohra, Mouffak
7 Han, Xuli
7 Nürnberger, Günther
7 Redivo-Zaglia, Michela
6 Ouahab, Abdelghani
6 Yan, Yubin
6 Zeilfelder, Frank
5 Ford, Neville J.
5 Hamani, Samira
5 He, Yi
5 Hu, Xingbiao
5 Yang, Shuiping
5 Zahra, Waheed K.
4 Bazzaev, Aleksandr Kazbekovich
4 Henderson, Johnny Lee
4 Jena, Mahendra Kumar
4 Liu, Fawang
4 Momani, Shaher M.
3 Abdo, Mohammed Salem
3 Anh, Vo V.
3 Băleanu, Dumitru I.
3 Davydov, Oleg V.
3 Diethelm, Kai
3 Elkholy, Samah M.
3 Panchal, Satish Kushaba
3 Weniger, Ernst Joachim
2 Abdulaziz, O.
2 Agarwal, Ravi P.
2 Belmekki, Mohammed
2 Blu, Thierry
2 Çelikkaya, İhsan
2 Chang, Xiangke
2 Das, Purna Chandra
2 Effati, Sohrab
2 Forster-Heinlein, Brigitte
2 Ghoreishi, Farideh
2 Green, Charles Wing Ho
2 Guezane-Lakoud, Assia
2 Han, Xi’An
2 Hashim, Ishak
2 Huang, Xili
2 Jafari, Hossein
2 Jamal, Sameerah
2 Kumar, Devendra
2 López-Moreno, Antonio-Jesús
2 Luchko, Yurii F.
2 Ma, Yichen
2 Meinardus, Gunter
2 Mnguni, Nkosingiphile
2 Mühlbach, Günter W.
2 Muñoz-Delgado, Francisco-Javier
2 Nemati, Somayeh
2 Ntouyas, Sotiris K.
2 Pal, Kamal
2 Pani, Amiya Kumar
2 Salam, Ahmed
2 Sánchez-Reyes, Javier
2 Sedaghat, Salameh
2 Shkhanukov-Lafishev, Mukhamed Khabalovich
2 Shunmugaraj, P.
2 Sondur, Shanta
2 Sooppy Nisar, Kottakkaran
2 Sun, Jianqing
2 Tam, Hon-Wah
2 Trujillo, Juan J.
2 Turner, Ian William
2 Unser, Michael A.
2 ur Rehman, Mujeeb
2 Wang, Guozhao
2 Yüzbaşı, Şuayip
1 Abbas, Muhammad Mohsin
1 Abbasbandy, Saeid
1 Abd-Elhameed, Waleed Mohamed
1 Abd-Elmonem, Assmaa
1 Abdullaev, Obidjon Khayrullayevich
1 Abel, Ulrich
1 Adar, Nihat
1 Ahmad, Shabir
1 Ahmed, Bourabta
1 Alam, Mohammad Prawesh
1 Albadarneh, Ramzi B.
1 Allahviranloo, Tofigh
1 Alomari, Abedel-Karrem
1 Amore, Paolo
1 Andrade, Maria Gorete C.
1 Anguraj, Annamalai
1 Ansari, Alireza
1 Armand, Atefeh
1 Assari, Pouria
1 Assas, Laila M. B.
1 Atanackovic, Teodor M.
1 Babakhani, Azizollah
1 Babolian, Esmail
1 Bahmanpour, Maryam
1 Banerjee, Ramashis
1 Basu, Kanadpriya
1 Batiha, Iqbal M.
...and 237 more Authors
all top 5

Cited in 103 Serials

25 Journal of Computational and Applied Mathematics
13 Numerical Algorithms
12 Computer Aided Geometric Design
11 Computers & Mathematics with Applications
10 Applied Mathematics and Computation
9 Applied Numerical Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Journal of Scientific Computing
4 Mediterranean Journal of Mathematics
3 Computer Methods in Applied Mechanics and Engineering
3 Mathematical Methods in the Applied Sciences
3 Numerische Mathematik
3 Constructive Approximation
3 International Journal of Computer Mathematics
3 Linear Algebra and its Applications
3 Computational and Applied Mathematics
3 Advances in Computational Mathematics
3 Abstract and Applied Analysis
2 Applicable Analysis
2 Journal of Computational Physics
2 Journal of Mathematical Analysis and Applications
2 Mathematics of Computation
2 BIT
2 Calcolo
2 Computing
2 Journal of Approximation Theory
2 Computational Mathematics and Mathematical Physics
2 Applied Mathematical Modelling
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Applied and Computational Harmonic Analysis
2 Nonlinear Dynamics
2 Matematicheskie Trudy
2 Communications in Nonlinear Science and Numerical Simulation
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Differentsial’nye Uravneniya i Protsessy Upravleniya
2 Advances in Difference Equations
2 Journal of Zhejiang University. Science A
2 Mathematical Sciences
1 International Journal of Systems Science
1 Physica A
1 Physics Letters. A
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 The Mathematical Intelligencer
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematics and Computers in Simulation
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Quaestiones Mathematicae
1 Optimal Control Applications & Methods
1 Acta Applicandae Mathematicae
1 Facta Universitatis. Series Mathematics and Informatics
1 Applied Mathematics Letters
1 European Journal of Applied Mathematics
1 Signal Processing
1 Japan Journal of Industrial and Applied Mathematics
1 Journal of Global Optimization
1 Computational Statistics and Data Analysis
1 Celestial Mechanics and Dynamical Astronomy
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 SIAM Journal on Scientific Computing
1 Turkish Journal of Mathematics
1 Fractals
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Reliable Computing
1 Journal of Difference Equations and Applications
1 Journal of Mathematical Chemistry
1 Parallel Algorithms and Applications
1 Journal of Vibration and Control
1 Vietnam Journal of Mathematics
1 Soft Computing
1 Mathematica Moravica
1 Lobachevskii Journal of Mathematics
1 The ANZIAM Journal
1 Differential Equations
1 Nonlinear Analysis. Modelling and Control
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Journal of Applied Mathematics and Computing
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Thai Journal of Mathematics
1 Analysis and Applications (Singapore)
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 Boundary Value Problems
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Proceedings of the Steklov Institute of Mathematics
1 Nonlinear Analysis. Hybrid Systems
1 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
1 Asian-European Journal of Mathematics
1 Journal of Nonlinear Science and Applications
1 Advances in Applied Mathematics and Mechanics
1 GEM - International Journal on Geomathematics
1 Ufimskiĭ Matematicheskiĭ Zhurnal
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Journal of Applied Analysis and Computation
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Journal of Mathematical Modeling
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 Applied Mathematics and Nonlinear Sciences
1 Journal of Siberian Federal University. Mathematics & Physics
...and 3 more Serials
all top 5

Cited in 35 Fields

146 Numerical analysis (65-XX)
71 Ordinary differential equations (34-XX)
50 Approximations and expansions (41-XX)
41 Real functions (26-XX)
38 Partial differential equations (35-XX)
13 Integral equations (45-XX)
13 Operator theory (47-XX)
12 Harmonic analysis on Euclidean spaces (42-XX)
7 Computer science (68-XX)
7 Fluid mechanics (76-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Number theory (11-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Sequences, series, summability (40-XX)
2 Probability theory and stochastic processes (60-XX)
2 Statistical mechanics, structure of matter (82-XX)
2 Geophysics (86-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Functional analysis (46-XX)
1 Geometry (51-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Quantum theory (81-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year