Results 21 to 30 of about 334 (91)
Stability under Galerkin truncation of A-stable Runge--Kutta discretizations in time [PDF]
, 2014 We consider semilinear evolution equations for which the linear part is normal and generates a strongly continuous semigroup and the nonlinear part is sufficiently smooth on a scale of Hilbert spaces.
Oliver, Marcel, Wulff, Claudia
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Accuracy Bounds for Semidiscretizations of Hyperbolic Problems [PDF]
Mathematics of Computation, 1985 Bounds are given for the error constant of stable finite-difference methods for first-order hyperbolic equations in one space dimension, which use r downwind and s upwind points in the discretization of the space derivatives, and which are of optimal order p = min ( r + s , 2 r
Jeltsch, Rolf, Strack, Klaus-Günther
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Semidiscrete Toda lattices [PDF]
Theoretical and Mathematical Physics, 2012 15 ...
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Highly efficient strong stability preserving Runge-Kutta methods with Low-Storage Implementations [PDF]
, 2008 Strong stability-preserving (SSP) Runge–Kutta methods were developed for time integration of semidiscretizations of partial differential equations. SSP methods preserve stability properties satisfied by forward Euler time integration, under a modified ...
Ketcheson, David I.
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Semidiscretization for Time-Delayed Neural Balance Control [PDF]
SIAM Journal on Applied Dynamical Systems, 2015 Summary: The observation that time-delayed feedback can stabilize an inverted pendulum motivates the formulation of models of human balance control in terms of Delay Differential Equations (DDEs). Recently the intermittent, digital-like nature of the neural feedback control of balance has become evident.
Insperger, Tamás Antal +2 more
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Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions
Journal of Applied Mathematics, 2008 We obtain some conditions under which the positive solution for semidiscretizations of the semilinear equation ut=uxx−a(x,t)f(u ...
Louis A. Assalé +2 more
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Semidiscretization in time for parabolic problems [PDF]
Mathematics of Computation, 1979 We study the error to the discretization in time of a parabolic evolution equation by a single-step method or by a multistep method when the initial condition is not regular.
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An Error Indicator for Semidiscrete Schemes [PDF]
, 2006 The eectiv eness of adaptive mesh renemen t strategies (AMR) relies heavily on the quality of the indicator that drives the process of mesh renemen t and coarsening. In this work, an indicator based on the local production of entropy is proposed, extending previous work by the authors on one-dimensional schemes, based on staggered cells.
D. MAROBIN, PUPPO, GABRIELLA ANNA
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Journal of Numerical Analysis and Approximation Theory, 2011 This paper concerns the study of the numerical approximation for the following boundary value problem \begin{equation*} \begin{cases} u_t(x,t)-u_{xx}(x,t)= -a(x)f(u(x,t)), & 00, \\ u(x,0)= u_{0}(x)>0, & 0\leq x \leq 1, \\ \end{cases} \end{equation*
Halima Nachid
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Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms [PDF]
, 2015 In this paper, we develop a structure-preserving discretization of the Lagrangian framework for electrodynamics, combining the techniques of variational integrators and discrete differential forms.
Ari Stern +4 more
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