Results 11 to 20 of about 430,778 (289)
Effective order strong stability preserving Runge–Kutta methods [PDF]
, 2012 We apply the concept of effective order to strong stability preserving (SSP) explicit Runge–Kutta methods. Relative to classical Runge–Kutta methods, effective order methods are designed to satisfy a relaxed set of order conditions, but yield higher order accuracy when composed with special starting and stopping methods.
Yiannis Hadjimichael +3 more
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Scientific Reports, 2018 We perform ab initio investigations of the bulk and surface band structures of LaSb and LaBi and resolve the existing disagreements about the topological property of LaSb, considering LaBi as a reference.
Urmimala Dey +3 more
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Implicit and implicit-explicit strong stability preserving Runge–Kutta methods with high linear order [PDF]
, 2017 When evolving in time the solution of a hyperbolic partial differential equation, it is often desirable to use high order strong stability preserving (SSP) time discretizations. These time discretizations preserve the monotonicity properties satisfied by
Sidafa Conde +3 more
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Strong Stability Preserving Multistep Runge-Kutta Methods [PDF]
, 2013 High-order spatial discretizations with strong stability properties (such as monotonicity) are desirable for the solution of hyperbolic PDEs. Methods may be compared in terms of the strong stability preserving (SSP) time-step. We prove an upper bound on the SSP coefficient of explicit multistep Runge--Kutta methods of order two and above.
Christopher Bresten +5 more
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Global optimization of explicit strong-stability-preserving Runge-Kutta methods [PDF]
Journal of Scientific Computing, 2005 The authors study systems of ordinary differential equations obtained from the methods of lines applied to the hyperbolic conservation law \[ u_t+ f(u)_x= 0 \] with appropriate initial and boundary conditions. They note that the usual linear stability analysis in not effective for schemes of problems having discontinuous or shock-like solutions.
Steven J. Ruuth
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Explicit Strong Stability Preserving Multistage Two-Derivative\n Time-Stepping Schemes [PDF]
Journal of Scientific Computing, 2015 High order strong stability preserving (SSP) time discretizations are advantageous for use with spatial discretizations with nonlinear stability properties for the solution of hyperbolic PDEs. The search for high order strong stability time-stepping methods with large allowable strong stability time-step has been an active area of research over the ...
Andrew J. Christieb +3 more
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Optimal Explicit Strong Stability Preserving Runge--Kutta Methods with High Linear Order and optimal Nonlinear Order [PDF]
, 2014 High order spatial discretizations with monotonicity properties are often desirable for the solution of hyperbolic PDEs. These methods can advantageously be coupled with high order strong stability preserving time discretizations.
Sigal Gottlieb +2 more
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Krylov SSP Integrating Factor Runge–Kutta WENO Methods
Mathematics, 2021 Weighted essentially non-oscillatory (WENO) methods are especially efficient for numerically solving nonlinear hyperbolic equations. In order to achieve strong stability and large time-steps, strong stability preserving (SSP) integrating factor (IF ...
Shanqin Chen
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Robust Prediction of Sea Surface Temperature Based on SSPGAN
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Sea surface temperature (SST) is an important parameter for monitoring ocean phenomena. Driven by ocean satellite Big Data, deep neural networks have achieved state-of-the-art performance in forecasting fields of oceanic phenomena.
Xiaofang Yao +4 more
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Exponential stability of the flow for a generalized Burgers equation on a circle
Современная математика: Фундаментальные направления, 2023 The paper deals with the problem of stability for the flow of the 1D Burgers equation on a circle. Using some ideas from the theory of positivity preserving semigroups, we establish the strong contraction in the \(L^1\) norm.
A. Djurdjevac, A. R. Shirikyan
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