Nonlinear EngineeringIn this work, we establish novel existence and uniqueness results for parabolic quasi-variational inequalities (PQVIs) by developing a structured four-phase numerical framework.
Boulaaras Salah +2 more
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Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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Optimal convergence rates for the three-dimensional turbulent flow equations [PDF]
, 2012 In this paper we are concerned with the convergence rate of solutions to the three-dimensional turbulent flow equations. By combining the $L^p$-$L^q$ estimates for the linearized equations and an elaborate energy method, the convergence rates are ...
Bian, Dongfen, Guo, Boling
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On the Convergence of Space-Time Discontinuous Galerkin Schemes for Scalar Conservation Laws
, 2015 We prove convergence of a class of space-time discontinuous Galerkin schemes for scalar hyperbolic conservation laws. Convergence to the unique entropy solution is shown for all orders of polynomial approximation, provided strictly monotone flux ...
May, Georg, Zakerzadeh, Mohammad
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A finite difference method for Piecewise Deterministic Processes with memory
, 2006 In this paper the numerical approximation of solutions of Liouville-Master Equations for time-dependent distribution functions of Piecewise Deterministic Processes with memory is considered.
Annunziato, Mario
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Well-posedness and maximum principles for lattice reaction-diffusion equations
Advances in Nonlinear Analysis, 2017 Existence, uniqueness and continuous dependence results together with maximum principles represent key tools in the analysis of lattice reaction-diffusion equations.
Slavík Antonín +2 more
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Numerical Solution of Stochastic Partial Differential Equations with Correlated Noise [PDF]
, 2013 In this paper we investigate the numerical solution of stochastic partial differential equations (SPDEs) for a wider class of stochastic equations. We focus on non-diagonal colored noise instead of the usual space-time white noise. By applying a spectral
Blömker, Dirk, Kamrani, Minoo
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Uniformly convergent extended cubic B-spline collocation method for two parameters singularly perturbed time-delayed convection-diffusion problems. [PDF]
BMC Res Notes, 2023 Negero NT.
europepmc +1 more source
A comparative study of the efficiency of jet schemes
, 2012 We present two versions of third order accurate jet schemes, which achieve high order accuracy by tracking derivative information of the solution along characteristic curves.
Chidyagwai, Prince +3 more
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A tension spline fitted numerical scheme for singularly perturbed reaction-diffusion problem with negative shift. [PDF]
BMC Res Notes, 2023 Ejere AH +3 more
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