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Journal

Numerical Algorithms

Issue 4/2019

Special Issue: Auckland Numerical Ordinary Differential Equations Conference (ANODE 2018), February 19-23, 2018, Auckland, New Zealand

Table of Contents ( 23 Articles )

04-07-2019 | Preface | Issue 4/2019

Preface

Luigi Brugnano, Zdzisław Jackiewicz, Helmut Podhaisky, Yajuan Sun, Caren Tischendorf

16-08-2018 | Original Paper | Issue 4/2019

Spectrally accurate space-time solution of Hamiltonian PDEs

Luigi Brugnano, Felice Iavernaro, Juan I. Montijano, Luis Rández

22-08-2018 | Original Paper | Issue 4/2019

Global error bounds of one-stage extended RKN integrators for semilinear wave equations

Bin Wang, Xinyuan Wu

18-09-2018 | Original Paper | Issue 4/2019

Symplectic integration of boundary value problems

Robert I. McLachlan, Christian Offen

30-10-2018 | Original Paper | Issue 4/2019

A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems

Yonglei Fang, Yanping Yang, Xiong You, Bin Wang

20-11-2018 | Original Paper | Issue 4/2019

Optimal residuals and the Dahlquist test problem

Robert M. Corless, C. Yalçın Kaya, Robert H. C. Moir

22-11-2018 | Original Paper | Issue 4/2019

Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems

Wei Shi, Xinyuan Wu

03-01-2019 | Original Paper | Issue 4/2019

Symplectic integrators with adaptive time step applied to runaway electron dynamics

Yanyan Shi, Yajuan Sun, Yang He, Hong Qin, Jian Liu

12-12-2018 | Original Paper | Issue 4/2019

Trees and B-series

J. C. Butcher

13-12-2018 | Original Paper | Issue 4/2019

Waveform relaxation: a convergence criterion for differential-algebraic equations

Jonas Pade, Caren Tischendorf

03-01-2019 | Original Paper | Issue 4/2019

Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part

G. Izzo, Z. Jackiewicz

09-01-2019 | Original Paper | Issue 4/2019

Krylov projection methods for linear Hamiltonian systems

Lu Li, Elena Celledoni

14-01-2019 | Original Paper | Issue 4/2019

Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

Jiyong Li, Yachao Gao

26-01-2019 | Original Paper | Issue 4/2019

Variable order and stepsize in general linear methods

Saghir Ahmad, J. C. Butcher, Winston L. Sweatman

14-01-2019 | Original Paper | Issue 4/2019

A novel approach to rigid spheroid models in viscous flows using operator splitting methods

Benjamin Tapley, Elena Celledoni, Brynjulf Owren, Helge I. Andersson

31-01-2019 | Original Paper | Issue 4/2019

Gating-enhanced IMEX splitting methods for cardiac monodomain simulation

Kevin R. Green, Raymond J. Spiteri

05-02-2019 | Original Paper | Issue 4/2019

The performance of the N-body integrator SSS

P. W. Sharp

21-02-2019 | Original Paper | Issue 4/2019

On the existence of three-stage third-order modified Patankar–Runge–Kutta schemes

Stefan Kopecz, Andreas Meister

01-05-2019 | Original Paper | Issue 4/2019

Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation

Beibei Zhu, Yifa Tang, Ruili Zhang, Yihao Zhang

06-06-2019 | Original Paper | Issue 4/2019

Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs

Mark Adams, Connor Tannahill, Paul Muir

27-06-2019 | Original Paper | Issue 4/2019

Energy-preserving algorithm for gyrocenter dynamics of charged particles

Ruili Zhang, Jian Liu, Hong Qin, Yifa Tang

25-06-2019 | Original Paper | Issue 4/2019

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

20-07-2019 | Original Paper | Issue 4/2019

Multirate finite step methods

Andreas Naumann, Jörg Wensch

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Table of Contents ( 23 Articles )

Preface

Spectrally accurate space-time solution of Hamiltonian PDEs

Global error bounds of one-stage extended RKN integrators for semilinear wave equations

Symplectic integration of boundary value problems

A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems

Optimal residuals and the Dahlquist test problem

Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems

Symplectic integrators with adaptive time step applied to runaway electron dynamics

Trees and B-series

Waveform relaxation: a convergence criterion for differential-algebraic equations

Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part

Krylov projection methods for linear Hamiltonian systems

Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems

Variable order and stepsize in general linear methods

A novel approach to rigid spheroid models in viscous flows using operator splitting methods

Gating-enhanced IMEX splitting methods for cardiac monodomain simulation

The performance of the N-body integrator SSS

On the existence of three-stage third-order modified Patankar–Runge–Kutta schemes

Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation

Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs

Energy-preserving algorithm for gyrocenter dynamics of charged particles

Split-step cubic B-spline collocation methods for nonlinear Schrödinger equations in one, two, and three dimensions with Neumann boundary conditions

Multirate finite step methods

Current Publications

Issue 1/2021

Issue 4/2020

Issue 3/2020

Issue 2/2020

Issue 1/2020

Issue 4/2020

Issue 3/2020

Issue 2/2020

Issue 1/2020

Issue 4/2020

Premium Partner