Search Results - "Gottlieb, Sigal"

STRONG STABILITY PRESERVING INTEGRATING FACTOR RUNGE–KUTTA METHODS by ISHERWOOD, LEAH, GRANT, ZACHARY J., GOTTLIEB, SIGAL

“…Strong stability preserving (SSP) Runge–Kutta methods are often desired when evolving in time problems that have two components that have very different time…”
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On High Order Strong Stability Preserving Runge–Kutta and Multi Step Time Discretizations by Gottlieb, Sigal

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High Order Strong Stability Preserving Time Discretizations by Gottlieb, Sigal, Ketcheson, David I., Shu, Chi-Wang

“…Strong stability preserving (SSP) high order time discretizations were developed to ensure nonlinear stability properties necessary in the numerical solution…”
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Editorial: Advances in computational relativity by Field, Scott E., Gottlieb, Sigal, Khanna, Gaurav

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Explicit strong stability preserving multistep Runge--Kutta methods by BRESTEN, CHRISTOPHER, GOTTLIEB, SIGAL, GRANT, ZACHARY, HIGGS, DANIEL, KETCHESON, DAVID I., NÉMETH, ADRIAN

“…High-order spatial discretizations of hyperbolic PDEs are often designed to have strong stability properties, such as monotonicity. We study explicit multistep…”
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Optimal explicit strong stability preserving Runge--Kutta methods with high linear order and optimal nonlinear order by GOTTLIEB, SIGAL, GRANT, ZACHARY, HIGGS, DANIEL

“…linear order exist. These methods reduce to second order when applied to nonlinear problems. In the current work we aim to find explicit SSP Runge-Kutta…”
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Strong Stability-Preserving High-Order Time Discretization Methods by Gottlieb, Sigal, Shu, Chi-Wang, Tadmor, Eitan

“…In this paper we review and further develop a class of strong stability-preserving (SSP) high-order time discretizations for semidiscrete method of lines…”
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Total variation diminishing Runge-Kutta schemes by Gottlieb, Sigal, Shu, Chi-Wang

“…In this paper we further explore a class of high order TVD (total variation diminishing) Runge-Kutta time discretization initialized in a paper by Shu and…”
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A Review of David Gottlieb’s Work on the Resolution of the Gibbs Phenomenon by Gottlieb, Sigal, Jung, Jae-Hun, Kim, Saeja

“…Given a piecewise smooth function, it is possible to construct a global expansion in some complete orthogonal basis, such as the Fourier basis. However, the…”
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Stability and Convergence Analysis of Fully Discrete Fourier Collocation Spectral Method for 3-D Viscous Burgers’ Equation by Gottlieb, Sigal, Wang, Cheng

“…This paper analyzes the stability and convergence of the Fourier pseudospectral method coupled with a variety of specially designed time-stepping methods of up…”
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An EIM-degradation free reduced basis method via over collocation and residual hyper reduction-based error estimation by Chen, Yanlai, Gottlieb, Sigal, Ji, Lijie, Maday, Yvon

“…•We present an efficient reduced basis method for nonlinear and nonaffine steady state or transient PDEs.•A new and efficiently implementable error estimator…”
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On High Order Strong Stability Preserving Runge–Kutta and Multi Step Time Discretizations by Gottlieb, Sigal

“…Strong stability preserving (SSP) high order time discretizations were developed for solution of semi-discrete method of lines approximations of hyperbolic…”
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Supercomputing-Enabled Advances in Science and Engineering by Gottlieb, Sigal, Khanna, Gaurav

“…This special issue of CiSE offers readers a taste of the range of advances enabled by supercomputing. The articles feature applications in astrophysics, engine…”
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A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD by DeCaria, Victor, Gottlieb, Sigal, Grant, Zachary J., Layton, William J.

“…•We present new methods for time accurate simulations of fluids.•The new methods can be easily implemented in codes based on commonly used methods.•The new…”
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Strong Stability Preserving Integrating Factor Two-Step Runge–Kutta Methods by Isherwood, Leah, Grant, Zachary J., Gottlieb, Sigal

“…Problems with components that feature significantly different time scales, where the stiff time-step restriction comes from a linear component,…”
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A Fourier pseudospectral method for the "good" Boussinesq equation with second-order temporal accuracy by Cheng, Kelong, Feng, Wenqiang, Gottlieb, Sigal, Wang, Cheng

“…In this article, we discuss the nonlinear stability and convergence of a fully discrete Fourier pseudospectral method coupled with a specially designed…”
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Reduced Collocation Methods: Reduced Basis Methods in the Collocation Framework by Chen, Yanlai, Gottlieb, Sigal

“…In this paper, we present the first reduced basis method well-suited for the collocation framework. Two fundamentally different algorithms are presented: the…”
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Explicit and implicit error inhibiting schemes with post-processing by Ditkowski, Adi, Gottlieb, Sigal, Grant, Zachary J.

“…•Defines conditions that result in an exact form of the leading error term.•Explicitly constructs a post-processor that extracts higher order.•Finds methods…”
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Explicit Strong Stability Preserving Multistage Two-Derivative Time-Stepping Schemes by Christlieb, Andrew J., Gottlieb, Sigal, Grant, Zachary, Seal, David C.

“…High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for…”
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Implicit and Implicit–Explicit Strong Stability Preserving Runge–Kutta Methods with High Linear Order by Conde, Sidafa, Gottlieb, Sigal, Grant, Zachary J., Shadid, John N.

“…Strong stability preserving (SSP) time discretizations preserve the monotonicity properties satisfied by the spatial discretization when coupled with the first…”
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