Found 128 Documents (Results 1–100)
High order absolutely convergent fast sweeping methods with multi-resolution WENO local solvers for Eikonal and factored Eikonal equations. (English) Zbl 07845609
Asymptotic-preserving neural networks for multiscale Vlasov-Poisson-Fokker-Planck system in the high-field regime. (English) Zbl 07841555
Reviewer: Claudia Simionescu-Badea (Wien)
The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme. (English) Zbl 1531.35130
High order conservative schemes for the generalized Benjamin-Ono equation on the unbounded domain. (English) Zbl 1530.35264
High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312
High-order positivity-preserving entropy stable schemes for the 3-D compressible Navier-Stokes equations. (English) Zbl 1517.65099
Reviewer: Abdallah Bradji (Annaba)
Structure-preserving combined high-order compact schemes for multiple order spatial derivatives differential equations. (English) Zbl 1518.65095
Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations. (English) Zbl 1503.65198
Reviewer: Abdallah Bradji (Annaba)
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs. (English) Zbl 1487.65112
Single pass computation of first seismic wave travel time in three dimensional heterogeneous media with general anisotropy. (English) Zbl 1493.65172
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows. (English) Zbl 1501.65047
Reviewer: Abdallah Bradji (Annaba)
Unconditional optimal error estimates of linearized, decoupled and conservative Galerkin FEMs for the Klein-Gordon-Schrödinger equation. (English) Zbl 1476.65259
Lax-Wendroff approximate Taylor methods with fast and optimized weighted essentially non-oscillatory reconstructions. (English) Zbl 1475.65065
Reviewer: Bülent Karasözen (Ankara)
Fifth-order Hermite targeted essentially non-oscillatory schemes for hyperbolic conservation laws. (English) Zbl 1465.65087
Reviewer: Abdallah Bradji (Annaba)
Fast sparse grid simulations of fifth order WENO scheme for high dimensional hyperbolic PDEs. (English) Zbl 1473.65131
Two dimensional analysis of hybrid spectral/finite difference schemes for linearized compressible Navier-Stokes equations. (English) Zbl 1471.65165
A class of Lagrangian-Eulerian shock-capturing schemes for first-order hyperbolic problems with forcing terms. (English) Zbl 1456.65056
FFT-based high order central difference schemes for Poisson’s equation with staggered boundaries. (English) Zbl 1456.65140
Non-linear CFL conditions issued from the von Neumann stability analysis for the transport equation. (English) Zbl 1452.65154
Mathematics and numerics for balance partial differential-algebraic equations (PDAEs). (English) Zbl 1440.76146
Higher order time stepping methods for subdiffusion problems based on weighted and shifted Grünwald-Letnikov formulae with nonsmooth data. (English) Zbl 1447.65032
Reviewer: Kanakadurga Sivakumar (Chennai)
Boundary scheme for a discrete kinetic approximation of the Navier-Stokes equations. (English) Zbl 1434.76092
Superconvergent functional estimates from tensor-product generalized summation-by-parts discretizations in curvilinear coordinates. (English) Zbl 1434.65132
Asymptotic preserving low Mach number accurate IMEX finite volume schemes for the isentropic Euler equations. (English) Zbl 1434.76077
Reviewer: Victor Michel-Dansac (Toulouse)
High order compact generalized finite difference methods for solving inviscid compressible flows. (English) Zbl 1448.76132
Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions. (English) Zbl 1433.65247
An efficient hybrid method for solving Euler equations. (English) Zbl 1433.65167
Reviewer: Abdallah Bradji (Annaba)
On the efficient computation of smoothness indicators for a class of WENO reconstructions. (English) Zbl 1450.65076
Second order linear energy stable schemes for Allen-Cahn equations with nonlocal constraints. (English) Zbl 1448.35301
Error estimates of energy stable numerical schemes for Allen-Cahn equations with nonlocal constraints. (English) Zbl 1502.65075
Conservative high order positivity-preserving discontinuous Galerkin methods for linear hyperbolic and radiative transfer equations. (English) Zbl 1407.65196
All Mach number second order semi-implicit scheme for the Euler equations of gas dynamics. (English) Zbl 1407.65139
A linearized local conservative mixed finite element method for Poisson-Nernst-Planck equations. (English) Zbl 1407.65259
J. Sci. Comput. 77, No. 2, 793-817 (2018); correction ibid. 77, No. 2, 818 (2018).
On an new algorithm for function approximation with full accuracy in the presence of discontinuities based on the immersed interface method. (English) Zbl 1391.65031
A Lagrangian scheme for the solution of nonlinear diffusion equations using moving simplex meshes. (English) Zbl 1404.65083
Stability and convergence analysis of finite difference schemes for time-dependent space-fractional diffusion equations with variable diffusion coefficients. (English) Zbl 1398.65214
An efficient semi-implicit solver for direct numerical simulation of compressible flows at all speeds. (English) Zbl 1388.76211
Structure preserving schemes for nonlinear Fokker-Planck equations and applications. (English) Zbl 1395.65027
Reviewer: Kanakadurga Sivakumar (Chennai)
An approximate Lax-Wendroff-type procedure for high order accurate schemes for hyperbolic conservation laws. (English) Zbl 1387.65094
Reviewer: Temur A. Jangveladze (Tbilisi)
A simple bound-preserving sweeping technique for conservative numerical approximations. (English) Zbl 1381.65087
Computational complexity study on Krylov integration factor WENO method for high spatial dimension convection-diffusion problems. (English) Zbl 1381.65067
Improved ADI scheme for linear hyperbolic equations: extension to nonlinear cases and compact ADI schemes. (English) Zbl 1377.65113
A numerical strategy for freestream preservation of the high order weighted essentially non-oscillatory schemes on stationary curvilinear grids. (English) Zbl 1376.65117
Explicit and implicit TVD schemes for conservation laws with Caputo derivatives. (English) Zbl 1371.65083
Boundary treatment and multigrid preconditioning for semi-Lagrangian schemes applied to Hamilton-Jacobi-Bellman equations. (English) Zbl 1371.65085
Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations. (English) Zbl 1361.65062
Stabilized times schemes for high accurate finite differences solutions of nonlinear parabolic equations. (English) Zbl 1378.65157
Reviewer: Gisbert Stoyan (Budapest)
High order weighted extrapolation for boundary conditions for finite difference methods on complex domains with Cartesian meshes. (English) Zbl 1352.65225
Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain. (English) Zbl 1352.65651
A high-order compact limiter based on spatially weighted projections for the spectral volume and the spectral differences method. (English) Zbl 1339.65128
Fast numerical contour integral method for fractional diffusion equations. (English) Zbl 1351.65058
Reviewer: Vu Hoang Linh (Hanoi)
High order boundary extrapolation technique for finite difference methods on complex domains with Cartesian meshes. (English) Zbl 1335.65068
Finite difference Hermite WENO schemes for conservation laws. II: An alternative approach. (English) Zbl 1398.65215
High order boundary conditions for high order finite difference schemes on curvilinear coordinates solving compressible flows. (English) Zbl 1330.76099
Accurate asymptotic preserving boundary conditions for kinetic equations on Cartesian grids. (English) Zbl 1330.76091
Role of time integration in computing transitional flows caused by wall excitation. (English) Zbl 1330.76098
Discrete Helmholtz-Hodge decomposition on polyhedral meshes using compatible discrete operators. (English) Zbl 1329.65249
Lax-Friedrichs multigrid fast sweeping methods for steady state problems for hyperbolic conservation laws. (English) Zbl 1326.65129
J. Sci. Comput. 64, No. 3, 591-618 (2015); erratum ibid. 64, No. 3, 619 (2015).
Dispersion relation preserving combined compact difference schemes for flow problems. (English) Zbl 1326.76081
Improved accuracy of high-order WENO finite volume methods on Cartesian grids. (English) Zbl 1304.65197
Stability of some generalized Godunov schemes with linear high-order reconstructions. (English) Zbl 1282.65102
Quasi-compact finite difference schemes for space fractional diffusion equations. (English) Zbl 1278.65130
Reviewer: Snezhana Gocheva-Ilieva (Plovdiv)
Recent advances in the study of a fourth-order compact scheme for the one-dimensional biharmonic equation. (English) Zbl 1254.65117
MSC:
65N06
Hybrid well-balanced WENO schemes with different indicators for shallow water equations. (English) Zbl 1248.76113
Error analysis for hp-FEM semi-Lagrangian second order BDF method for convection-dominated diffusion problems. (English) Zbl 1242.65184
Reviewer: Rémi Vaillancourt (Ottawa)
Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes. (English) Zbl 1358.76017
An asymptotic preserving scheme for the ES-BGK model of the Boltzmann equation. (English) Zbl 1433.82022
On the convergence and well-balanced property of path-conservative numerical schemes for systems of balance laws. (English) Zbl 1230.65102
Reviewer: Ruxandra Stavre (Bucureşti)
A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. (English) Zbl 1220.65110
MSC:
65M06
Recent developments in the pure streamfunction formulation of the Navier-Stokes system. (English) Zbl 1203.76045
A high order compact scheme for the pure-streamfunction formulation of the Navier-Stokes equations. (English) Zbl 1203.76041
Semi-discrete entropy satisfying approximate Riemann solvers. The case of the Suliciu relaxation approximation. (English) Zbl 1203.65130
A fast marching method for Hamilton-Jacobi equations modeling monotone front propagations. (English) Zbl 1203.65220
MSC:
65N06
Shock capturing artificial dissipation for high-order finite difference schemes. (English) Zbl 1203.76104
High order extensions of roe schemes for two-dimensional nonconservative hyperbolic systems. (English) Zbl 1203.65131
MSC:
65M06
Characteristic-based schemes for multi-class Lighthill-Whitham-Richards traffic models. (English) Zbl 1203.65169
Two-dimensional extension of the reservoir technique for some linear advection systems. (English) Zbl 1251.76026
A supra-convergent finite difference scheme for the Poisson and heat equations on irregular domains and non-graded adaptive Cartesian grids. (English) Zbl 1120.65113
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