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BIT Numerical Mathematics, ISSN 0006-3835, 06/2008, Volume 48, Issue 2, pp. 231 - 243
Journal Article
IEEE Transactions on Antennas and Propagation, ISSN 0018-926X, 05/2017, Volume 65, Issue 5, pp. 2558 - 2565
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2018, Volume 56, Issue 6, pp. 3276 - 3307
Strong stability preserving (SSP) Runge-Kutta methods are often desired when evolving in time problems that have two components that have very different time... 
Integrating factor | Strong stability preserving | Runge-Kutta | FULLY DISCRETE | MATHEMATICS, APPLIED | LOW-STORAGE | SPECTRAL METHODS | MONOTONICITY | strong stability preserving | CONTRACTIVITY | IMPLICIT | HIGH-ORDER SCHEMES | VISCOSITY METHOD | HIGH-RESOLUTION SCHEMES | CONSERVATION-LAWS | integrating factor
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 04/2017, Volume 335, Issue C, pp. 700 - 717
In this paper, we develop new techniques for solving the large, coupled linear systems that arise from fully implicit Runge–Kutta methods. This method makes... 
Discontinuous Galerkin | Preconditioned GMRES | Implicit Runge–Kutta | Parallel-in-time | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | Implicit Runge-Kutta | PHYSICS, MATHEMATICAL | SCHEMES | Mathematics - Numerical Analysis
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2013, Volume 51, Issue 5, pp. 2887 - 2910
We study spatially partitioned embedded Runge–Kutta (SPERK) schemes for partial differential equations (PDEs), in which each of the component schemes is... 
Conservation laws | Method of lines | Spatially partitioned methods | Embedded Runge-Kutta methods | VARYING TIME | SPACE | MATHEMATICS, APPLIED | EFFICIENT IMPLEMENTATION | conservation laws | IMPLICIT SCHEME | CONSERVATION-LAWS | embedded Runge-Kutta methods | spatially partitioned methods | method of lines | Mathematics - Numerical Analysis
Journal Article
Computational Mechanics, ISSN 0178-7675, 12/2018, Volume 62, Issue 6, pp. 1429 - 1441
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 01/2016, Volume 292, pp. 576 - 590
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 2011, Volume 230, Issue 24, pp. 8762 - 8778
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2006, Volume 188, Issue 2, pp. 309 - 318
This paper provides an investigation of the stability properties of a family of exponentially fitted Runge–Kutta–Nyström (EFRKN) methods. P-stability is a very... 
Collocation methods | P-stability | Exponential fitting | Implicit Runge–Kutta–Nyström methods | Implicit Runge-Kutta-Nyström methods | MATHEMATICS, APPLIED | implicit Runge-Kutta-Nystrom methods | STABILITY | MIXED COLLOCATION METHODS | ODES | F(X | Y | exponential fittings | FITTING MULTISTEP ALGORITHMS | collocation methods
Journal Article
SIAM JOURNAL ON NUMERICAL ANALYSIS, ISSN 0036-1429, 2015, Volume 53, Issue 1, pp. 321 - 341
This work develops new implicit-explicit time integrators based on two-step Runge-Kutta methods. The class of schemes of interest is characterized by linear... 
order reduction | MATHEMATICS, APPLIED | LINEAR MULTISTEP METHODS | STABILITY | SYSTEMS | two-step Runge-Kutta | CONSERVATION-LAWS | ORDER CONDITIONS | ORDINARY DIFFERENTIAL-EQUATIONS | implicit-explicit methods | Construction | Stability | Consistency | Joining | Integrators | Flexibility | Invariants | Convergence
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2013, Volume 252, pp. 365 - 381
Many operational weather forecasting centres use semi-implicit time-stepping schemes because of their good efficiency. However, as computers become ever more... 
Runge–Kutta | Explicit | Implicit | Atmosphere | Wave equations | Compressible | Runge-Kutta | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODEL | DYNAMICAL CORE | PHYSICS, MATHEMATICAL | Weather | Weather forecasting
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 07/2017, Volume 117, Issue C, pp. 36 - 49
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 06/2020, Volume 152, pp. 141 - 158
Multiphysics systems are driven by multiple processes acting simultaneously, and their simulation leads to partitioned systems of differential equations. This... 
Partitioned time discretization methods | Exponential integrators | Stiff order conditions | MATHEMATICS, APPLIED | MATRIX FUNCTIONS | ALGORITHM | KRYLOV SUBSPACE APPROXIMATIONS | HIGH-ORDER | SQUARING METHOD | IMPLICIT | CONSTRUCTION | SYSTEMS | GENERAL LINEAR METHODS | INTEGRATORS
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 10/2019, p. 112497
J. Comput. Appl. Math. (2019) 112497 The conditioning of implicit Runge-Kutta (RK) integration for linear finite element approximation of diffusion equations... 
Journal Article
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