Search Results - "Journal of computational methods in applied mathematics"

Some Estimates for Virtual Element Methods by Brenner, Susanne C., Guan, Qingguang, Sung, Li-Yeng

“…We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We…”
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Convergence in Positive Time for a Finite Difference Method Applied to a Fractional Convection-Diffusion Problem by Gracia, José Luis, O’Riordan, Eugene, Stynes, Martin

“…A standard finite difference method on a uniform mesh is used to solve a time-fractional convection-diffusion initial-boundary value problem. Such problems…”
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Spectral Approximation of Fractional PDEs in Image Processing and Phase Field Modeling by Antil, Harbir, Bartels, Sören

“…Fractional differential operators provide an attractive mathematical tool to model effects with limited regularity properties. Particular examples are image…”
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Optimal Strong Rates of Convergence for a Space-Time Discretization of the Stochastic Allen–Cahn Equation with Multiplicative Noise by Majee, Ananta K., Prohl, Andreas

“…The stochastic Allen–Cahn equation with multiplicative noise involves the nonlinear drift operator . We use the fact that satisfies a weak monotonicity…”
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Superconvergent DPG Methods for Second-Order Elliptic Problems by Führer, Thomas

“…We consider DPG methods with optimal test functions and broken test spaces based on ultra-weak formulations of general second-order elliptic problems. Under…”
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Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes by D’Elia, Marta, Du, Qiang, Gunzburger, Max, Lehoucq, Richard

“…A nonlocal convection-diffusion model is introduced for the master equation of Markov jump processes in bounded domains. With minimal assumptions on the model…”
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Computational Comparison of Surface Metrics for PDE Constrained Shape Optimization by Schulz, Volker, Siebenborn, Martin

“…We compare surface metrics for shape optimization problems with constraints, consisting mainly of partial differential equations (PDE), from a computational…”
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Space-Time Discontinuous Petrov–Galerkin Methods for Linear Wave Equations in Heterogeneous Media by Ernesti, Johannes, Wieners, Christian

“…We establish an abstract space-time DPG framework for the approximation of linear waves in heterogeneous media. The estimates are based on a suitable…”
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Müntz Spectral Methods for the Time-Fractional Diffusion Equation by Hou, Dianming, Hasan, Mohammad Tanzil, Xu, Chuanju

“…In this paper, we propose and analyze a fractional spectral method for the time-fractional diffusion equation (TFDE). The main novelty of the method is…”
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Adaptive Mesh Refinement in 2D – An Efficient Implementation in Matlab by Funken, Stefan A., Schmidt, Anja

“…This paper deals with the efficient implementation of various adaptive mesh refinements in two dimensions in Matlab. We give insights into different adaptive…”
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Projection Methods for Dynamical Low-Rank Approximation of High-Dimensional Problems by Kieri, Emil, Vandereycken, Bart

“…We consider dynamical low-rank approximation on the manifold of fixed-rank matrices and tensor trains (also called matrix product states), and analyse…”
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A Second-Order Time-Stepping Scheme for Simulating Ensembles of Parameterized Flow Problems by Gunzburger, Max, Jiang, Nan, Wang, Zhu

“…We consider settings for which one needs to perform multiple flow simulations based on the Navier–Stokes equations, each having different initial condition…”
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Some Remarks About Conservation for Residual Distribution Schemes by Abgrall, Rémi

“…We are interested in the discretisation of the steady version of hyperbolic problems. We first show that all the known schemes (up to our knowledge) can be…”
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Towards Pressure-Robust Mixed Methods for the Incompressible Navier–Stokes Equations by Ahmed, Naveed, Linke, Alexander, Merdon, Christian

“…In this contribution, we review classical mixed methods for the incompressible Navier–Stokes equations that relax the divergence constraint and are discretely…”
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A Tensor Decomposition Algorithm for Large ODEs with Conservation Laws by Dolgov, Sergey V.

“…We propose an algorithm for solution of high-dimensional evolutionary equations (ODEs and discretized time-dependent PDEs) in the Tensor Train (TT)…”
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Constants in Discrete Poincaré and Friedrichs Inequalities and Discrete Quasi-Interpolation by Carstensen, Carsten, Hellwig, Friederike

“…This paper provides a discrete Poincaré inequality in space dimensions on a simplex with explicit constants. This inequality bounds the norm of the piecewise…”
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The Discrete-Dual Minimal-Residual Method (DDMRes) for Weak Advection-Reaction Problems in Banach Spaces by Muga, Ignacio, Tyler, Matthew J. W., van der Zee, Kristoffer G.

“…We propose and analyze a minimal-residual method in discrete dual norms for approximating the solution of the advection-reaction equation in a weak…”
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A Hybrid High-Order Discretization Method for Nonlinear Poroelasticity by Botti, Michele, Di Pietro, Daniele A., Sochala, Pierre

“…In this work, we construct and analyze a nonconforming high-order discretization method for the quasi-static single-phase nonlinear poroelasticity problem…”
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On the Stable Difference Schemes for the Schrödinger Equation with Time Delay by Ashyralyev, Allaberen, Agirseven, Deniz

“…In the present paper, the first and second order of accuracy difference schemes for the approximate solutions of the initial value problem for Schrödinger…”
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Stabilized Mixed Finite Element Methods for Linear Elasticity on Simplicial Grids in ℝ n by Chen, Long, Hu, Jun, Huang, Xuehai

“…In this paper, we design two classes of stabilized mixed finite element methods for linear elasticity on simplicial grids. In the first class of elements, we…”
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