# Steven J. Ruuth

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- Publications
- Influence

Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

- U. Ascher, Steven J. Ruuth, R. Spiteri
- Mathematics
- 1 November 1997

Abstract Implicit-explicit (IMEX) linear multistep time-discretization schemes for partial differential equations have proved useful in many applications. However, they tend to have undesirable… Expand

Implicit-explicit methods for time-dependent partial differential equations

- U. Ascher, Steven J. Ruuth, B. Wetton
- Mathematics
- 1 June 1995

Implicit-explicit (IMEX) schemes have been widely used, especially in conjunction with spectral methods, for the time integration of spatially discretized partial differential equations (PDEs) of… Expand

A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods

- R. Spiteri, Steven J. Ruuth
- Mathematics, Computer Science
- SIAM J. Numer. Anal.
- 1 February 2002

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A simple embedding method for solving partial differential equations on surfaces

- Steven J. Ruuth, B. Merriman
- Computer Science, Mathematics
- J. Comput. Phys.
- 2008

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IMEX extensions of linear multistep methods with general monotonicity and boundedness properties

- W. Hundsdorfer, Steven J. Ruuth
- Mathematics, Computer Science
- J. Comput. Phys.
- 1 August 2007

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Implicit-explicit methods for reaction-diffusion problems in pattern formation

- Steven J. Ruuth
- Mathematics
- 1995

Reaction-diffusion mechanisms have been used to explain pattern formation in developmental biology and in experimental chemical systems. To approximate the corresponding spatially discretized models,… Expand

Efficient Algorithms for Diffusion-Generated Motion by Mean Curvature

- Steven J. Ruuth
- Mathematics
- 10 August 1998

The problem of simulating the motion of evolving surfaces with junctions according to some curvature-dependent speed arises in a number of applications. By alternately diffusing and sharpening… Expand

Implicit-Explicit Methods for Time-Dependent PDE''s

- U. Ascher, Steven J. Ruuth, B. Wetton
- Mathematics
- 1 May 1993

Implicit-explicit (IMEX) schemes have been widely used, especially in conjunction with spectral methods, for the time integration of spatially discretized PDEs of diffusion-convection type.… Expand

Global optimization of explicit strong-stability-preserving Runge-Kutta methods

- Steven J. Ruuth
- Computer Science, Mathematics
- Math. Comput.
- 16 September 2005

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Diffusion-Generated Motion by Mean Curvature for Filaments

- Steven J. Ruuth, B. Merriman, J. Xin, S. Osher
- Mathematics, Computer Science
- J. Nonlinear Sci.
- 1 December 2001

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