Issue 4/2019
Special Issue: Auckland Numerical Ordinary Differential Equations Conference (ANODE 2018), February 19-23, 2018, Auckland, New Zealand
Content (23 Articles)
Preface
Luigi Brugnano, Zdzisław Jackiewicz, Helmut Podhaisky, Yajuan Sun, Caren Tischendorf
Spectrally accurate space-time solution of Hamiltonian PDEs
Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández
Global error bounds of one-stage extended RKN integrators for semilinear wave equations
Bin Wang, Xinyuan Wu
Symplectic integration of boundary value problems
Robert I. McLachlan, Christian Offen
A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems
Yonglei Fang, Yanping Yang, Xiong You, Bin Wang
Optimal residuals and the Dahlquist test problem
Robert M. Corless, C. Yalçın Kaya, Robert H. C. Moir
Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems
Wei Shi, Xinyuan Wu
Symplectic integrators with adaptive time step applied to runaway electron dynamics
Yanyan Shi, Yajuan Sun, Yang He, Hong Qin, Jian Liu
Waveform relaxation: a convergence criterion for differential-algebraic equations
Jonas Pade, Caren Tischendorf
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
G. Izzo, Z. Jackiewicz
Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems
Jiyong Li, Yachao Gao
Variable order and stepsize in general linear methods
Saghir Ahmad, J. C. Butcher, Winston L. Sweatman
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Benjamin Tapley, Elena Celledoni, Brynjulf Owren, Helge I. Andersson
Gating-enhanced IMEX splitting methods for cardiac monodomain simulation
Kevin R. Green, Raymond J. Spiteri
On the existence of three-stage third-order modified Patankar–Runge–Kutta schemes
Stefan Kopecz, Andreas Meister
Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation
Beibei Zhu, Yifa Tang, Ruili Zhang, Yihao Zhang
Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs
Mark Adams, Connor Tannahill, Paul Muir
Energy-preserving algorithm for gyrocenter dynamics of charged particles
Ruili Zhang, Jian Liu, Hong Qin, Yifa Tang
Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions
Shanshan Wang, Luming Zhang