Volume 81, Issue 4

Search all Numerical Algorithms articles

August 2019

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

Issue Editors:

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

23 articles in this issue

Preface
Luigi Brugnano
Zdzisław Jackiewicz
Caren Tischendorf
Preface 04 July 2019 Pages: 1181 - 1182
Spectrally accurate space-time solution of Hamiltonian PDEs
Luigi Brugnano
Felice Iavernaro
Luis Rández
Original Paper 16 August 2018 Pages: 1183 - 1202
Global error bounds of one-stage extended RKN integrators for semilinear wave equations
Bin Wang
Xinyuan Wu
Original Paper 22 August 2018 Pages: 1203 - 1218
Symplectic integration of boundary value problems
Robert I. McLachlan
Christian Offen
Original Paper 18 September 2018 Pages: 1219 - 1233
A new family of A-stable Runge-Kutta methods with equation-dependent coefficients for stiff problems
Yonglei Fang
Yanping Yang
Bin Wang
Original Paper 30 October 2018 Pages: 1235 - 1251
Optimal residuals and the Dahlquist test problem
Robert M. Corless
C. Yalçın Kaya
Robert H. C. Moir
Original Paper 20 November 2018 Pages: 1253 - 1274
Explicit Gautschi-type integrators for nonlinear multi-frequency oscillatory second-order initial value problems
Wei Shi
Xinyuan Wu
Original Paper 22 November 2018 Pages: 1275 - 1294
Symplectic integrators with adaptive time step applied to runaway electron dynamics
Yanyan Shi
Yajuan Sun
Jian Liu
Original Paper 03 January 2019 Pages: 1295 - 1309
Trees and B-series
J. C. Butcher
Original Paper 12 December 2018 Pages: 1311 - 1325
Waveform relaxation: a convergence criterion for differential-algebraic equations
Jonas Pade
Caren Tischendorf
Original Paper 13 December 2018 Pages: 1327 - 1342
Transformed implicit-explicit DIMSIMs with strong stability preserving explicit part
G. Izzo
Z. Jackiewicz
Original Paper 03 January 2019 Pages: 1343 - 1359
Krylov projection methods for linear Hamiltonian systems
Lu Li
Elena Celledoni
Original Paper 09 January 2019 Pages: 1361 - 1378
Energy-preserving trigonometrically fitted continuous stage Runge-Kutta-Nyström methods for oscillatory Hamiltonian systems
Jiyong Li
Yachao Gao
Original Paper 14 January 2019 Pages: 1379 - 1401
Variable order and stepsize in general linear methods
Saghir Ahmad
J. C. Butcher
Winston L. Sweatman
Original Paper 26 January 2019 Pages: 1403 - 1421
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Benjamin Tapley
Elena Celledoni
Helge I. Andersson
Original Paper 14 January 2019 Pages: 1423 - 1441
Gating-enhanced IMEX splitting methods for cardiac monodomain simulation
Kevin R. Green
Raymond J. Spiteri
Original Paper 31 January 2019 Pages: 1443 - 1457
The performance of the N-body integrator SSS
P. W. Sharp
Original Paper 05 February 2019 Pages: 1459 - 1472
On the existence of three-stage third-order modified Patankar–Runge–Kutta schemes
Stefan Kopecz
Andreas Meister
Original Paper 21 February 2019 Pages: 1473 - 1484
Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation
Beibei Zhu
Yifa Tang
Yihao Zhang
Original Paper 01 May 2019 Pages: 1485 - 1503
Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs
Mark Adams
Connor Tannahill
Paul Muir
Original Paper 06 June 2019 Pages: 1505 - 1519
Energy-preserving algorithm for gyrocenter dynamics of charged particles
Ruili Zhang
Jian Liu
Yifa Tang
Original Paper 27 June 2019 Pages: 1521 - 1530
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
Original Paper 25 June 2019 Pages: 1531 - 1546
Multirate finite step methods
Andreas Naumann
Jörg Wensch
Original Paper 20 July 2019 Pages: 1547 - 1571

Volume 81, Issue 4

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