Exponential Integrators for Large Systems of Differential Equations

Solving Ordinary Differential Equations II

1996 • 4,054 citations

The MATLAB ODE Suite

1997 • 3,292 citations

A family of embedded Runge-Kutta formulae

1980 • 3,203 citations

Solving Ordinary Differential Equations I

1987 • 2,369 citations

Nineteen Dubious Ways to Compute the Exponential of a Matrix

1978 • 1,534 citations

Solving Ordinary Differential Equations I

1993 • 872 citations

Unitary quantum time evolution by iterative Lanczos reduction

1986 • 846 citations

Expokit

1998 • 783 citations

On Krylov Subspace Approximations to the Matrix Exponential Operator

1997 • 780 citations

Analysis of Some Krylov Subspace Approximations to the Matrix Exponential Operator

1992 • 661 citations

Propagation Methods for Quantum Molecular Dynamics

1994 • 554 citations

Efficient Solution of Parabolic Equations by Krylov Approximation Methods

1992 • 323 citations

Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

1967 • 310 citations

New Approach to Many-State Quantum Dynamics: The Recursive-Residue-Generation Method

1983 • 260 citations

Krylov Methods for the Incompressible Navier-Stokes Equations

1994 • 213 citations

On the Internal Stability of Explicit, m‐Stage Runge‐Kutta Methods for Large m‐Values

1980 • 166 citations

Explicit Runge-Kutta methods for parabolic partial differential equations

1996 • 157 citations

On the Lánczos method for solving symmetric linear systems with several right-hand sides

1987 • 124 citations

Krylov subspace approximation of eigenpairs and matrix functions in exact and computer arithmetic

1995 • 113 citations

A method for exponential propagation of large systems of stiff nonlinear differential equations

1989 • 111 citations

The solution of the time dependent Schrödinger equation by the (t,t′) method: The use of global polynomial propagators for time dependent Hamiltonians

1994 • 103 citations

Linearly implicit time discretization of non-linear parabolic equations

1995 • 82 citations

Linear-implizite Runge-Kutta-Methoden und ihre Anwendung

1992 • 78 citations

Accurate numerical solution of the Helmholtz equation by iterative Lanczos reduction

1991 • 46 citations

Matrix-free W-methods using a multiple Arnoldi iteration

1995 • 36 citations

Parallel block preconditioning for the solution of boundary value methods

1996 • 29 citations

Error bounds in the simple Lanczos procedure for computing functions of symmetric matrices and eigenvalues

1992 • 28 citations

Applications of the Lanczos method

1989 • 21 citations

Error of rosenbrock methods for stiff problems studied via differential algebraic equations

1989 • 20 citations

Rosenbrock Methods using few LU-Decompositions

1989 • 13 citations

Sufficient conditions for uniformly second-order convergent schemes for stiff initial-value problems

1992 • 10 citations

A new efficient numerical integration scheme for highly oscillatory electric circuits

1994 • 2 citations