Efficient solution of parabolic equations by Krylov approximation methods

Expokit: a software package for computing matrix exponentials

ACM Transactions on Mathematical Software (TOMS)

A trajectory piecewise-linear approach to model order reduction and fast simulation of nonlinear circuits and micromachined devices

Proceedings of the 2001 IEEE/ACM international conference on Computer-aided design

Krylov Subspaces and Electromagnetic Oil Exploration

IEEE Computational Science & Engineering

Complexity theory for lie-group solvers

Journal of Complexity

A polynomial method based on Fejèr points for the computation of functions of unsymmetric matrices

Applied Numerical Mathematics

Computing a matrix function for exponential integrators

Journal of Computational and Applied Mathematics

An explicit one-step method for stiff problems

Computing

Interpolating discrete advection-diffusion propagators at Leja sequences

Journal of Computational and Applied Mathematics

Efficient integration of large stiff systems of ODEs with exponential propagation iterative (EPI) methods

Journal of Computational Physics

EXPINT---A MATLAB package for exponential integrators

ACM Transactions on Mathematical Software (TOMS)

Accurate evaluation of divided differences for polynomial interpolation of exponential propagators

Computing

The LEM exponential integrator for advection-diffusion-reaction equations

Journal of Computational and Applied Mathematics

A rational Krylov method for solving time-periodic differential equations

Applied Numerical Mathematics

Convergence of the variational iteration method for solving linear systems of ODEs with constant coefficients

Computers & Mathematics with Applications

Approximation of matrix operators applied to multiple vectors

Mathematics and Computers in Simulation

Implementation of exponential Rosenbrock-type integrators

Applied Numerical Mathematics

Error Bounds for Lanczos Approximations of Rational Functions of Matrices

Numerical Validation in Current Hardware Architectures

A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations

Journal of Computational and Applied Mathematics

A survey on methods for computing matrix exponentials in numerical schemes for ODEs

ICCS'03 Proceedings of the 2003 international conference on Computational science: PartII

Solution of time-convolutionary Maxwell's equations using parameter-dependent Krylov subspace reduction

Journal of Computational Physics

Shift-Invert Arnoldi Approximation to the Toeplitz Matrix Exponential

SIAM Journal on Scientific Computing

Generalized exponential time differencing methods for fractional order problems

Computers & Mathematics with Applications

A new class of exponential propagation iterative methods of Runge-Kutta type (EPIRK)

Journal of Computational Physics

Computing $f(A)b$ via Least Squares Polynomial Approximations

SIAM Journal on Scientific Computing

Approximating Semidefinite Packing Programs

SIAM Journal on Optimization

Algorithm 919: A Krylov Subspace Algorithm for Evaluating the ϕ-Functions Appearing in Exponential Integrators

ACM Transactions on Mathematical Software (TOMS)

Computation of matrix functions with deflated restarting

Journal of Computational and Applied Mathematics

A variable-stepsize Jacobian-free exponential integrator for simulating transport in heterogeneous porous media: Application to wood drying

Journal of Computational Physics

Spectral-element discontinuous Galerkin lattice Boltzmann simulation of flow past two cylinders in tandem with an exponential time integrator

Computers & Mathematics with Applications

wFEM heat kernel: Discretization and applications to shape analysis and retrieval

Computer Aided Geometric Design

SMI 2013: Heat diffusion kernel and distance on surface meshes and point sets

Computers and Graphics

An Efficient High-Order Time Integration Method for Spectral-Element Discontinuous Galerkin Simulations in Electromagnetics

Journal of Scientific Computing

Array-representation integration factor method for high-dimensional systems

Journal of Computational Physics