Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Geometric Numerical Integration: Structure Preserving Algorithms for Ordinary Differential Equations

Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book.… Expand

2,816 308- PDF

Geometric Numerical Integration

- Erwan Faou, E. Hairer, M. Hochbruck, C. Lubich
- Mathematics
- 2006

The subject of this workshop was numerical methods that preserve geometric properties of the flow of an ordinary or partial differential
equation. This was complemented by the question as to how… Expand

1,673 178- PDF

Convolution quadrature and discretized operational calculus. I

- C. Lubich
- 1988

SummaryNumerical methods are derived for problems in integral equations (Volterra, Wiener-Hopf equations) and numerical integration (singular integrands, multiple time-scale convolution). The basic… Expand

326 64- PDF

On Krylov Subspace Approximations to the Matrix Exponential Operator

- M. Hochbruck, C. Lubich
- Mathematics
- 1 October 1997

Krylov subspace methods for approximating the action of matrix exponentials are analyzed in this paper. We derive error bounds via a functional calculus of Arnoldi and Lanczos methods that reduces… Expand

717 47

The Numerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods

TLDR

682 46

Exponential Integrators for Large Systems of Differential Equations

- M. Hochbruck, C. Lubich, H. Selhofer
- Computer Science, Mathematics
- SIAM J. Sci. Comput.
- 1 September 1998

TLDR

471 39

From Quantum to Classical Molecular Dynamics: Reduced Models and Numerical Analysis

- C. Lubich
- Mathematics
- 15 September 2008

302 39

On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

- C. Lubich
- Mathematics, Computer Science
- Math. Comput.
- 19 February 2008

TLDR

227 35- PDF

Convolution quadrature and discretized operational calculus. II

- C. Lubich
- Mathematics
- 1 July 1988

SummaryOperational quadrature rules are applied to problems in numerical integration and the numerical solution of integral equations: singular integrals (power and logarithmic singularities, finite… Expand

551 27- PDF

Geometric numerical integration illustrated by the Störmer-Verlet method

The subject of geometric numerical integration deals with numerical integrators that preserve geometric properties of the flow of a differential equation, and it explains how structure preservation… Expand

398 24- PDF