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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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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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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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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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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Error Analysis of Randomized Runge–Kutta Methods for Differential Equations with Time-Irregular Coefficients by Kruse, Raphael, Wu, Yue

“…This paper contains an error analysis of two randomized explicit Runge–Kutta schemes for ordinary differential equations (ODEs) with time-irregular coefficient…”
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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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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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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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Robust Numerical Upscaling of Elliptic Multiscale Problems at High Contrast by Peterseim, Daniel, Scheichl, Robert

“…We present a new approach to the numerical upscaling for elliptic problems with rough diffusion coefficient at high contrast. It is based on the localizable…”
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A Partition-of-Unity Dual-Weighted Residual Approach for Multi-Objective Goal Functional Error Estimation Applied to Elliptic Problems by Endtmayer, Bernhard, Wick, Thomas

“…In this work, we design a posteriori error estimation and mesh adaptivity for multiple goal functionals. Our method is based on a dual-weighted residual…”
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Tucker Tensor Analysis of Matérn Functions in Spatial Statistics by Litvinenko, Alexander, Keyes, David, Khoromskaia, Venera, Khoromskij, Boris N., Matthies, Hermann G.

“…In this work, we describe advanced numerical tools for working with multivariate functions and for the analysis of large data sets. These tools will…”
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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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A Fully-Mixed Finite Element Method for the n-Dimensional Boussinesq Problem with Temperature-Dependent Parameters by Almonacid, Javier A., Gatica, Gabriel N.

“…In this paper, we introduce and analyze a high-order, fully-mixed finite element method for the free convection of -dimensional fluids, , with…”
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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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Weakly Imposed Symmetry and Robust Preconditioners for Biot’s Consolidation Model by Bærland, Trygve, Lee, Jeonghun J., Mardal, Kent-Andre, Winther, Ragnar

“…We discuss the construction of robust preconditioners for finite element approximations of Biot’s consolidation model in poroelasticity. More precisely, we…”
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Ensemble Algorithm for Parametrized Flow Problems with Energy Stable Open Boundary Conditions by Takhirov, Aziz, Waters, Jiajia

“…We propose novel ensemble calculation methods for Navier–Stokes equations subject to various initial conditions, forcing terms and viscosity coefficients. We…”
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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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