DOI10.1137/0913084zbMath0760.65073OpenAlexW2015736664MaRDI QIDQ4015232
Brynjulf Owren, Marino Zennaro
Publication date: 12 January 1993
Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0913084
The p-stability and q-stability of singly diagonally implicit runge-kutta method for delay differential equations,
Numerical simulations of the spread of rabies in two-dimensional space,
Parallel interpolation of high-order Runge-Kutta methods,
Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations,
Two-step almost collocation methods for ordinary differential equations,
Piecewise-linearized methods for initial-value problems,
A mixed finite element for the Stokes problem using quadrilateral elements,
Issues in the numerical solution of evolutionary delay differential equations,
Equilibrium states of adaptive algorithms for delay differential equations,
A space-time adaptive discontinuous Galerkin scheme,
Interpolating Runge-Kutta methods for vanishing delay differential equations,
Runge-Kutta interpolants for high precision computations,
The orders of embedded continuous explicit Runge-Kutta methods,
Continuous extensions to Nyström methods for second order initial value problems,
Single-step arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations,
Derivation of continuous explicit two-step Runge-Kutta methods of order three,
An ADER discontinuous Galerkin method on moving meshes for Liouville's equation of geometrical optics,
Construction of two-step Runge--Kutta methods with large regions of absolute stability,
Explicit Nordsieck methods with extended stability regions,
Local time-stepping for adaptive multiresolution using natural extension of Runge-Kutta methods,
Oscillation-preserving algorithms for efficiently solving highly oscillatory second-order ODEs,
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes,
Numerical solution of threshold problems in epidemics and population dynamics,
Numerical simulations of traveling wave solutions in a drift paradox inspired diffusive delay population model,
Parallel defect control,
Continuous extensions to high order runge-kutta methods,
The tolerance proportionality of adaptive ODE solvers,
Numerical simulations of spread of rabies in a spatially distributed fox population,
Velocity interpolation and streamline tracing on irregular geometries,
Derivation and implementation of two-step Runge-Kutta pairs,
An explicit one-step multischeme sixth order method for systems of special structure,
Explicit one-step time discretizations for discontinuous Galerkin and finite volume schemes based on local predictors,
Starting procedures for general linear methods,
Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations,
Projection methods preserving Lyapunov functions,
Functional continuous Runge-Kutta methods with reuse,
Continuous approximation with embedded Runge-Kutta methods,
Some applications of continuous Runge-Kutta methods,
Runge-Kutta research at Toronto,
Runge-Kutta research in Trondheim,
Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine,
Local Time-Stepping for Explicit Discontinuous Galerkin Schemes,
An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density,
Continuous extensions of deferred correction schemes for the numerical solution of nonlinear two-point boundary value problems,
Embedded (4, 5) pairs of explicit 7-stage Runge-Kutta methods with FSAL property,
Solving delay differential equations using intervalwise partitioning by Runge-Kutta method