Gerhard Wanner

Q: What Schools Are Affiliated With Gerhard Wanner

Gerhard Wanner is affiliated with the following schools: University of Innsbruck, University of Geneva, University of Vienna

Gerhard Wanner's AcademicInfluence.com Rankings

Gerhard Wanner

Mathematics

#1547

World Rank

#2517

Historical Rank

Measure Theory

#1580

World Rank

#1958

Historical Rank

mathematics Degrees

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Mathematics

Gerhard Wanner's Degrees

PhD Mathematics University of Vienna

Why Is Gerhard Wanner Influential?

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According to Wikipedia, Gerhard Wanner is an Austrian mathematician. Education and career Wanner grew up in Seefeld in Tirol and studied mathematics at the University of Innsbruck, where he received his doctorate in 1965 with advisor Wolfgang Gröbner and dissertation Ein Beitrag zur numerischen Behandlung von Randwertproblemen gewöhnlicher Differentialgleichungen . He taught in Innsbruck and from 1973 at the University of Geneva.

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Gerhard Wanner'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

Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems (2010) (5032)
Solving Ordinary Differential Equations I: Nonstiff Problems (2009) (4964)
Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations (2004) (3512)
Solving Ordinary Differential Equations II (2010) (2081)
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems (1993) (1255)
Solving Ordinary Differential Equations I (1991) (992)
Simulating Hamiltonian dynamics (2006) (822)
Geometric numerical integration illustrated by the Störmer–Verlet method (2003) (555)
Stiff and differential-algebraic problems (1991) (405)
Stiff differential equations solved by Radau methods (1999) (263)
Order stars and stability theorems (1978) (202)
Analysis by Its History (1996) (158)
On the Butcher group and general multi-value methods (1974) (144)
Structure-Preserving Algorithms for Ordinary Differential Equations (2006) (121)
Solving Ordinary ,Differential Equations I, Nonstiff problems/E. Hairer, S. P. Norsett, G. Wanner, Second Revised Edition with 135 Figures, Vol.: 1 (2000) (114)
Implementation of Implicit Runge-Kutta Methods (1996) (111)
A theory for Nyström methods (1975) (105)
Examples of Stiff Equations (1996) (103)
From Euler, Ritz, and Galerkin to Modern Computing (2012) (92)
A study of Rosenbrock-type methods of high order (1981) (89)
Runge-Kutta methods: some historical notes (1996) (84)
Introduction to Analysis of the Infinite (2008) (81)
Algebraically Stable and Implementable Runge-Kutta Methods of High Order (1981) (81)
Perturbed collocation and Runge-Kutta methods (1981) (78)
The real-pole sandwich for rational approximations and oscillation equations (1979) (74)
Geometry by Its History (2012) (54)
Runge Kutta processes with multiple nodes (1972) (44)
On Turan type implicit Runge-Kutta methods (1972) (43)
Order Conditions for General Two-Step Runge--Kutta Methods (1997) (42)
Multistep-multistage-multiderivative methods for ordinary differential equations (1973) (40)
Rosenbrock-Type Methods (1996) (37)
A short proof on nonlinearA-stability (1976) (26)
On the Instability of the BDF Formulas (1983) (23)
200 years of least squares method (2002) (23)
The eigenvalue problem in configuration inteaction calculations: A computer program. based on a new derivation of the algorithm of Davidson (1980) (23)
Acta Numerica 2003: Geometric numerical integration illustrated by the Störmer–Verlet method (2003) (20)
A reliable rosenbrock integrator for stiff differential equations (1981) (18)
Runge-Kutta-methods with expansion in even powers of h (1973) (17)
On the integration of stiff differential equations (1977) (17)
Characterization of non-linearly stable implicit Runge-Kutta methods (1982) (16)
Singular Perturbation Problems and Differential Algebraic Equations (1991) (14)
Dahlquist’s classical papers on stability theory (2006) (14)
AN OVERVIEW OF LIE GROUP VARIATIONAL INTEGRATORS AND THEIR APPLICATIONS TO OPTIMAL CONTROL (2007) (14)
Order stars and stiff integrators (2000) (13)
The number of positive weights of a quadrature formula (1982) (12)
Constrained Optimization: From Lagrangian Mechanics to Optimal Control and PDE Constraints (2014) (11)
Symplectic Runge-Kutta methods with real eigenvalues (1994) (10)
Runge-Kutta and Extrapolation Methods (1987) (10)
The Origins of the Alternating Schwarz Method (2014) (9)
Comparison of Numerical Methods for Stiff Differential Equations in Biology and Chemistry (1982) (9)
A Theory for Nystr6m Methods (1976) (9)
Characterization of allA-stable methods of order 2m-4 (1980) (9)
Stiff Problems — One-Step Methods (1991) (9)
Kepler, Newton and numerical analysis (2010) (9)
Hamiltonian Perturbation Theory and Symplectic Integrators (2006) (9)
Classical Mathematical Theory (1987) (7)
On the choice of γ for singly-implicit RK or Rosenbrock methods (1980) (7)
Algebraic Stability of General Linear Methods (1996) (7)
Linear multistep method (2010) (7)
WhenI-stability impliesA-stability (1978) (7)
NUMERICAL SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS BY GROEBNER'S METHOD OF LIE-SERIES. (1968) (5)
LIESE: A PROGRAM FOR ORDINARY DIFFERENTIAL EQUATIONS USING LIE-SERIES. (1968) (5)
Mixtilinear radii and Finsler–Hadwiger inequality (2020) (4)
Construction of Implicit Runge-Kutta Methods (1996) (4)
Symplectic Methods for Constrained Hamiltonian Systems (1996) (4)
Thales and Pythagoras (2012) (3)
Exact BDF stability angles with maple (2020) (3)
Symplectic Integration of Hamiltonian Systems (2006) (3)
Multistep Methods and General Linear Methods (1987) (3)
On a Generalization of a Theorem of von Neumann (1996) (3)
The Cramer-Castillon problem and Urquhart's 'most elementary' theorem (2006) (3)
Structure-Preserving Implementation (2006) (3)
A dynamic proof of Thébault's theorem (2010) (2)
Highly Oscillatory Differential Equations (2002) (2)
Backward Error Analysis and Structure Preservation (2006) (2)
Sti ! di ! erential equations solved by Radau methods (2018) (2)
Featured Review: Geometric Numerical Integration: Structure-Preserving Al (2016) (2)
Stability of Multistep Methods (1996) (2)
Existence and Uniqueness of IRK Solutions (1996) (2)
Multistep Methods for Index 2 DAE (1996) (2)
6th International Congress on Industrial and Applied Mathematics Zürich, Switzerland, 16-20 July 2007 (2009) (1)
Stability Analysis for Explicit RK Methods (1996) (1)
Order Conditions, Trees and B-Series (2006) (1)
Dynamics of Multistep Methods (2006) (1)
Runge-Kutta Methods for Index 2 DAE (1996) (1)
Multistep Methods for Stiff Problems (1991) (1)
Computation of Multibody Mechanisms (1996) (1)
Symmetric Integration and Reversibility (2006) (1)
Mathematik 200 years of least squares method (2002) (0)
Order Conditions for Index 2 DAE (1996) (0)
Epsilon Expansions for Exact and RK Solutions (1996) (0)
Johann Bernoulli and the cycloid: A theorem for posterity (2017) (0)
Oscillatory Differential Equations with Varying High Frequencies (2006) (0)
The Index and Various Examples (1996) (0)
Dissipatively Perturbed Hamiltonian and Reversible Systems (2006) (0)
Book Review: Simulating Hamiltonian dynamics (2006) (0)
Non-Canonical Hamiltonian Systems (2006) (0)
Spatial Geometry and Vector Algebra (2012) (0)
Further Topics in Structure Preservation (2002) (0)
ICIAM 07 : 6th International Congress on Industrial and Applied Mathematics, Zürich, Switzerland, 16-20 July 2007 : invited lectures (2009) (0)
Matrices and Linear Mappings (2012) (0)
The importance of Pappus for the development of mathematics (2012) (0)
The Method of Lie Series for Differential Equations and Its Extensions. (1973) (0)
Note on rectangles with vertices on prescribed circles (2007) (0)
Special issue on New Trends in Numerical Analysis: Theory, Methods, Algorithms and Applications (NETNA2015) (2017) (0)
F. Commandino, de centro gravitatis solidorum, 1565 (2018) (0)
Calculus in Several Variables (2008) (0)
Positive Quadrature Formulas and B-Stable RK-Methods (1996) (0)
Order Stars on Riemann Surfaces (1996) (0)
DEVELOPMENT OF NEW METHODS FOR THE SOLUTION OF DIFFERENTIAL EQUATIONS BY THE METHOD OF LIE SERIES (1969) (0)
A Nonlinear Second Order Differential Equation (E. Y. Rodin) (1982) (0)
Conservation of First Integrals and Methods on Manifolds (2006) (0)
Development of New Methods for the Solution of Nonlinear Differential Equations by the Method of Lie Series and Extension to New Fields. (1970) (0)
Oscillatory Differential Equations with Constant High Frequencies (2006) (0)
One-Leg Methods and G-Stability (1996) (0)
The Elements of Euclid (2012) (0)
Further Results in Euclidean Geometry (2012) (0)
On the proof of Ptolemy’s Lemma (2017) (0)
History and biography (2014) (0)
Solving Index 1 Problems (1996) (0)
Gerretsen and the Finsler–Hadwiger inequality (2017) (0)
Half-Explicit Methods for Index 2 Systems (1996) (0)
Index Reduction Methods (1996) (0)
Foundations of Classical Analysis (2008) (0)
Study of Rosenbrock methods for stiff differential equations (1989) (0)
Experiments with Multistep Codes (1996) (0)
Convergence for Linear Problems (1996) (0)
Zigzags with Bügi, Bernoulli, Euler and the Seidel–Entringer–Arnol’d triangle (2019) (0)
Convergence for Nonlinear Problems (1996) (0)
Order Stars and Stii Integrators (1999) (0)
Generalized Multistep Methods (1996) (0)
Stability Function of Implicit RK-Methods (1996) (0)
To be Constructible, or not to be (2012) (0)
Examples and Numerical Experiments (2006) (0)
“Nearly” A-Stable Multistep Methods (1996) (0)
Ceva-triangular points of a triangle (2021) (0)
Reversible Perturbation Theory and Symmetric Integrators (2006) (0)
Diagonally Implicit RK Methods (1996) (0)
Solutions to Exercises (2020) (0)
B-Stability and Contractivity (1996) (0)
APPLICATION OF LIE SERIES TO THE SOLUTION OF ORDINARY DIFFERENTIAL EQUATIONS AND TO ALGEBRAIC FUNCTIONS. (1968) (0)
Contractivity for Linear Problems (1996) (0)
THE NUMBER OF POSITIVE WEIGHTS OF A (1981) (0)
Distances in rectangles and parallelograms (2018) (0)
From Pappus to Kocik’s diagram for relativistic velocity addition (2017) (0)

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What Schools Are Affiliated With Gerhard Wanner?

Gerhard Wanner is affiliated with the following schools:

Gerhard Wanner's Academic­Influence.com Rankings