Found 188 Documents (Results 1–100)
An optimized hybrid block method for solving nonlinear singularly perturbed problems using non-uniform Jain-type meshes. (English) Zbl 07899558
Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems. (English) Zbl 07890903
Finite difference methods for nonlinear fractional differential equation with \(\psi\)-Caputo derivative. (English) Zbl 07842148
A robust higher-order finite difference technique for a time-fractional singularly perturbed problem. (English) Zbl 1540.65306
Absorbing interface conditions for the simulation of wave propagation on non-uniform meshes. (English) Zbl 07814763
A uniformly convergent defect correction method for parabolic singular perturbation problems with a large delay. (English) Zbl 1518.65085
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian. (English) Zbl 1540.65289
An extended ordinary state-based peridynamics for non-spherical horizons. (English) Zbl 1536.74013
MSC:
74A70
Numerical methods for solving the Robin boundary value problem for a generalized diffusion equation with a non-smooth solution. (English) Zbl 07705560
Tchernykh, Andrei (ed.) et al., Mathematics and its applications in new computer systems. MANCS-2021. Proceedings of the international conference, Stavropol, Russia, December 13–15, 2021. Cham: Springer. Lect. Notes Netw. Syst. 424, 219-228 (2022).
MSC:
65-XX
High-order numerical algorithms for the time-fractional convection-diffusion equation. (English) Zbl 1513.65388
A finite volume method using a quadtree non-uniform structured mesh for modeling in electrical capacitance tomography. (English) Zbl 1497.65210
MSC:
65N08
Three-dimensional Haar wavelet method for singularly perturbed elliptic boundary value problems on non-uniform meshes. (English) Zbl 1501.65051
Numerical method for compressible gas-particle flow coupling using adaptive parcel refinement (APR) method on non-uniform mesh. (English) Zbl 07561093
Cubic B-spline collocation method on a non-uniform mesh for solving nonlinear parabolic partial differential equation. (English) Zbl 1499.65580
Efficient approximation algorithm for the Schrödinger-Poisson system. (Efficient approximation algorithm for the Schrödinger-Possion system.) (English) Zbl 1535.65261
A novel non-uniform optimal control approach for hypersonic cruise vehicle with waypoint and no-fly zone constraints. (English) Zbl 1483.49039
Numerical methods for the time fractional convection-diffusion-reaction equation. (English) Zbl 1532.65082
Fast and efficient finite difference/finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equation. (English) Zbl 1508.65125
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. (English) Zbl 1524.65386
A compact higher-order finite-difference scheme for the wave equation can be strongly non-dissipative on non-uniform meshes. (English) Zbl 1466.65088
Signal processing approach to mesh refinement in simulations of axisymmetric droplet dynamics. (English) Zbl 1451.76102
A finite-difference lattice Boltzmann method with second-order accuracy of time and space for incompressible flow. (English) Zbl 1459.76095
Analysis of melting behavior of PCMs in a cavity subject to a non-uniform magnetic field using a moving grid technique. (English) Zbl 1481.74600
MSC:
74N10
An explicit gas kinetic scheme algorithm on non-uniform Cartesian meshes for GPGPU architectures. (English) Zbl 1519.76178
On \(L^2\)-dissipativity of linearized explicit finite-difference schemes with a regularization on a non-uniform spatial mesh for the 1D gas dynamics equations. (English) Zbl 1411.65118
A scale-dependent finite difference approximation for time fractional differential equation. (English) Zbl 1467.76038
High order variable mesh exponential finite difference method for the numerical solutions of two point boundary value problems. (English) Zbl 1438.65158
Efficient surface water flow simulation on static Cartesian grid with local refinement according to key topographic features. (English) Zbl 1410.76234
An evaluation of point-insertion sequences for incremental Delaunay tessellations. (English) Zbl 1415.65047
A “converse” stability condition is necessary for a compact higher order scheme on non-uniform meshes for the time-dependent Schrödinger equation. (English) Zbl 1393.65019
\(H^1\)-superconvergence of a difference finite element method based on the \(P_1-P_1\)-conforming element on non-uniform meshes for the 3D Poisson equation. (English) Zbl 1471.65171
Reviewer: José Augusto Ferreira (Coimbra)
Numerical simulations of aerosol delivery to the human lung with an idealized laryngeal model, image-based airway model, and automatic meshing algorithm. (English) Zbl 1410.76484
Scaled boundary isogeometric analysis based on non-overlapping Mortar method. (Chinese. English summary) Zbl 1399.74103
MSC:
74S30
A finite volume method for two-sided fractional diffusion equations on non-uniform meshes. (English) Zbl 1383.65101
Reviewer: Abdallah Bradji (Annaba)
A third (four) order accurate, nine-point compact scheme for mildly-nonlinear elliptic equations in two space variables. (English) Zbl 1371.65111
On supraconvergence phenomenon for second order centered finite differences on non-uniform grids. (English) Zbl 1370.65038
Superconvergence and asymptotic expansions for bilinear finite volume element approximation on non-uniform grids. (English) Zbl 1366.65097
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations. (English) Zbl 1362.65131
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
A-posteriori error estimation in maximum norm for a strongly coupled system of two singularly perturbed convection-diffusion problems. (English) Zbl 1353.65087
Analysis of second order difference schemes on non-uniform grids for quasilinear parabolic equations. (English) Zbl 1348.65118
Well-balanced high order 1D schemes on non-uniform grids and entropy residuals. (English) Zbl 1371.65093
Finite difference scheme on non-uniform mesh for two-dimensional singularly perturbed problems. (Chinese. English summary) Zbl 1363.65184
Finite difference methods with non-uniform meshes for nonlinear fractional differential equations. (English) Zbl 1349.65246
Superconvergence analysis of Yee scheme for metamaterial Maxwell’s equations on non-uniform rectangular meshes. (English) Zbl 1359.78025
Reviewer: Gunther Schmidt (Berlin)
On the accuracy of WENO and CWENO reconstructions of third order on nonuniform meshes. (English) Zbl 1343.65116
Reviewer: Marius Ghergu (Dublin)
High order finite difference methods on non-uniform meshes for space fractional operators. (English) Zbl 1347.65130
Reviewer: Fernando Casas (Castellon)
Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid. (English) Zbl 1349.65245
A high-order compact exponential-type finite difference scheme on non-uniform grid for convection-diffusion equation. (Chinese. English summary) Zbl 1349.65337
One-sided position-dependent smoothness-increasing accuracy-conserving (SIAC) filtering over uniform and non-uniform meshes. (English) Zbl 1326.65135
Hybrid difference methods for PDEs. (English) Zbl 1326.65143
Reviewer: Marius Ghergu (Dublin)
Coupled reduced alternating group explicit algorithm for third order cubic spline method on a non-uniform mesh for nonlinear singular two point boundary value problems. (English) Zbl 1314.34047
\(H^1\)-super-convergence of center finite difference method based on \(P_1\)-element for the elliptic equation. (English) Zbl 1429.65268
A natural BEM with non-uniform grids on the elliptic boundary and its coupling method. (English) Zbl 1364.65270
Cell-centered particle weighting algorithm for PIC simulations in a non-uniform 2D axisymmetric mesh. (English) Zbl 1349.82034
A high accuracy compact difference scheme on non-uniform grids for the 1D unsteady convection diffusion equations. (Chinese. English summary) Zbl 1313.65218
A higher accurate compact difference scheme on non-uniform grid. (Chinese. English summary) Zbl 1313.65226
Calculations and analyses of several high accuracy schemes for solving ODE eigenproblem on non-uniform grid. (Chinese. English summary) Zbl 1313.65200
Least squares isogeometric analysis for Stokes equation. (Chinese. English summary) Zbl 1289.76052
High-order convergence of spectral deferred correction methods on general quadrature nodes. (English) Zbl 1277.65062
Reviewer: Kevin Burrage (Brisbane)
A linearized finite difference scheme with non-uniform meshes for nonlinear reaction-diffusion equations. (Chinese. English summary) Zbl 1289.65200
A finite difference method with non-uniform timesteps for fractional diffusion equations. (English) Zbl 1268.65120
Comput. Phys. Commun. 183, No. 12, 2594-2600 (2012); corrigendum ibid. 185, No. 3, 1192 (2014).
Entropy stable ENO scheme. (English) Zbl 1284.65117
Li, Tatsien (ed.) et al., Hyperbolic problems. Theory, numerics and applications. Vol. 1. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). Series in Contemporary Applied Mathematics CAM 17, 12-27 (2012).
A finite volume method on NURBS geometries and its application in isogeometric fluid-structure interaction. (English) Zbl 1255.65164
An algorithm for solving second order nonlinear singular perturbation boundary value problems. (English) Zbl 1413.65286
Finite-difference time-domain methods. (English) Zbl 1271.78002
Schilders, W. H. A. (ed.) et al., Essential numerical methods in electromagnetics. A derivative handbook of numerical analysis. Special volume: Numerical methods in electromagnetics. Volume XIII. Amsterdam: Elsevier (ISBN 978-0-444-53756-0/hbk). 103-219 (2011).
Reviewer: Roland Pulch (Wuppertal)
A cubic spline approximation and application of TAGE iterative method for the solution of two point boundary value problems with forcing function in integral form. (English) Zbl 1219.65072
A new compact difference scheme for second derivative in non-uniform grid expressed in self-adjoint form. (English) Zbl 1211.65027
MSC:
65D25
An efficient lattice Boltzmann method for the application on non-uniform Cartesian mesh. (English) Zbl 1195.76332
MSC:
76M28
On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations. (English) Zbl 1197.65126
Difference schemes for singularly perturbed Boussinesq system. (English) Zbl 1201.65147
Reviewer: Damian Słota (Gliwice)
An improved immersed boundary-lattice Boltzmann method for simulating three-dimensional incompressible flows. (English) Zbl 1346.76164
MSC:
76M28
A high-order compact finite difference method for convection diffusion problems on non-uniform grids. (Chinese. English summary) Zbl 1212.65329
A high accuracy compact difference scheme for convection diffusion reaction equation on non-uniform grid. (Chinese. English summary) Zbl 1212.65328
Anisotropic mesh adaption based on Hessian recovery and a posteriori error estimates. (English) Zbl 1184.65112
Mathematik. München: Dr. Hut; Darmstadt: Univ. Darmstadt, Fachbereich Mathematik (Diss.) (ISBN 978-3-86853-266-1/pbk). xv, 97 p. (2009).
Towards a compact high-order method for non-linear hyperbolic systems. I: The Hermite least-square monotone (HLSM) reconstruction. (English) Zbl 1166.65375
Erratum to: “A second order spline finite difference method for singular two-point boundary value problems”. (English) Zbl 1170.65325
MSC:
65L15
The continuous extension of the B-spline linear multistep methods for BVPs on non-uniform meshes. (English) Zbl 1161.65057
Reviewer: Fuhua Ling (Milpitas)
Improved algorithm for estimating disparity using non-uniform mesh. (Chinese. English summary) Zbl 1173.94338
MSC:
94A08
Two new compact finite-difference schemes for the solution of boundary value problems in second-order nonlinear ordinary differential equations, using non-uniform grids. (English) Zbl 1188.65102
Symmetry-preserving upwind discretization of convection on non-uniform grids. (English) Zbl 1153.65086
Variable step size initial value algorithm for singular perturbation problems using locally exact integration. (English) Zbl 1143.65062
A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes. (English) Zbl 1135.65359
A mesh morphing technique for geometrically dissimilar tessellated surfaces. (English) Zbl 1134.65331
Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 315-334 (2008).
Automatic extraction of quadrilateral patches from triangulated surfaces using Morse theory. (English) Zbl 1134.65314
Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 199-212 (2008).
A hole-filling algorithm using non-uniform rational B-splines. (English) Zbl 1135.65312
Brewer, Michael L. (ed.) et al., Proceedings of the 16th international meshing roundtable, Seattle, WA, USA, October 14–17, 2007. Berlin: Springer (ISBN 978-3-540-75102-1/hbk). 169-182 (2008).
On the \(n\)th mode numerical solutions of a second order boundary value problem on semi-infinite domain. (English) Zbl 1152.34023
Reviewer: M. Plum (Karlsruhe)
Difference schemes for the singularly perturbed Sobolev equations. (English) Zbl 1127.65057
Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 23-40 (2007).
On the convergence of finite difference methods for weakly regular singular boundary value problems. (English) Zbl 1149.65065
Reviewer: Raytcho D. Lazarov (College Station)
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