Found 631 Documents (Results 1–100)
Inexact linear solves in the low-rank alternating direction implicit iteration for large Sylvester equations. (English) Zbl 07919864
Pointwise-in-time \(\alpha\)-robust error estimate of the ADI difference scheme for three-dimensional fractional subdiffusion equations with variable coefficients. (English) Zbl 07919825
An accurate second-order ADI scheme for three-dimensional tempered evolution problems arising in heat conduction with memory. (English) Zbl 07901876
Finite difference approximation with ADI scheme for two-dimensional Keller-Segel equations. (English) Zbl 1542.92002
Local convergence analysis of L1-ADI scheme for two-dimensional reaction-subdiffusion equation. (English) Zbl 1542.65084
\(H^1\)-norm error analysis of a robust ADI method on graded mesh for three-dimensional subdiffusion problems. (English) Zbl 07891508
MSC:
65Mxx
Stability and convergence of BDF2-ADI schemes with variable step sizes for parabolic equation. (English) Zbl 07885882
Difference potentials method for the nonlinear convection-diffusion equation with interfaces. (English) Zbl 07885869
Maximum-norm error estimates of fourth-order compact and ADI compact finite difference methods for nonlinear coupled bacterial systems. (English) Zbl 07880216
Efficient and accurate temporal second-order numerical methods for multidimensional multi-term integrodifferential equations with the Abel kernels. (English) Zbl 07866647
A high-order compact ADI finite difference scheme on uniform meshes for a weakly singular integro-differential equation in three space dimensions. (English) Zbl 07846901
Fast high-order compact finite difference methods based on the averaged \(L1\) formula for a time-fractional mobile-immobile diffusion problem. (English) Zbl 07835092
Efficient L1-ADI finite difference method for the two-dimensional nonlinear time-fractional diffusion equation. (English) Zbl 07834527
A linearized fourth-order compact ADI method for phytoplankton-zooplankton model arising in marine ecosystem. (English) Zbl 07830977
An efficient computational technique for solving a time-fractional reaction-subdiffusion model in 2D space. (English) Zbl 07824653
An unconditionally stable modified leapfrog method for Maxwell’s equation in Kerr-type nonlinear media. (English) Zbl 07824629
On a family of low-rank algorithms for large-scale algebraic Riccati equations. (English) Zbl 1542.65049
MSC:
65F45
A dimensional-splitting weak Galerkin finite element method for 2D time-fractional diffusion equation. (English) Zbl 1534.65187
Alternating direction implicit approach for the two-dimensional time fractional nonlinear Klein-Gordon and sine-Gordon problems. (English) Zbl 1531.65111
A fractional-order image segmentation model with application to low-contrast and piecewise smooth images. (English) Zbl 1538.94003
A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. (English) Zbl 1534.65184
Error estimate of L1-ADI scheme for two-dimensional multi-term time fractional diffusion equation. (English) Zbl 1534.65140
\(\alpha\)-robust \(H^1\)-norm convergence analysis of L1FEM-ADI scheme for 2D/3D subdiffusion equation with initial singularity. (English) Zbl 1529.65020
A class of one-parameter alternating direction implicit methods for two-dimensional wave equations with discrete and distributed time-variable delays. (English) Zbl 1531.65123
A fast numerical solution of the nonlinear tempered fractional integrodifferential equation. (English) Zbl 07776965
A weighted ADI scheme with variable time steps for diffusion-wave equations. (English) Zbl 1526.65039
An alternating direction implicit compact finite difference scheme for the multi-term time-fractional mixed diffusion and diffusion-wave equation. (English) Zbl 1540.65279
A numerical method for two-phase flow with its application to the Kelvin-Helmholtz instability problem. (English) Zbl 07733012
Alternative direction implicit method for solving first order 2D hyperbolic delay differential equations. (English) Zbl 07709481
Crank-Nicolson ADI finite difference/compact difference schemes for the 3D tempered integrodifferential equation associated with Brownian motion. (English) Zbl 07694960
MSC:
65-XX
Pointwise-in-time error estimate of an ADI scheme for two-dimensional multi-term subdiffusion equation. (English) Zbl 1509.65069
The efficient ADI Galerkin finite element methods for the three-dimensional nonlocal evolution problem arising in viscoelastic mechanics. (English) Zbl 1529.65082
Preconditioning sparse matrices with alternating and multiplicative operator splittings. (English) Zbl 1511.65026
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001
Error analysis of fast L1 ADI finite difference/compact difference schemes for the fractional telegraph equation in three dimensions. (English) Zbl 1540.65320
Second-order accurate, robust and efficient ADI Galerkin technique for the three-dimensional nonlocal heat model arising in viscoelasticity. (English) Zbl 1511.65102
Efficient numerical solution of two-dimensional time-space fractional nonlinear diffusion-wave equations with initial singularity. (English) Zbl 07885976
Using the numerical solution for partial fractional differential equation by ADI numerical method to cryptography in Hill matrix system. (English) Zbl 1505.65239
High-order ADI-FDTD schemes for Maxwell’s equations with material interfaces in two dimensions. (English) Zbl 1503.65169
Efficiently energy-dissipation-preserving ADI methods for solving two-dimensional nonlinear Allen-Cahn equation. (English) Zbl 1504.65172
An ADI finite difference method for the two-dimensional Volterra integro-differential equation with weakly singular kernel. (English) Zbl 1513.65303
Parallel 3D ADI scheme for partially dimension reduced heat conduction problem. (English) Zbl 07602681
MSC:
65-XX
The efficient alternating direction implicit Galerkin method for the nonlocal diffusion-wave equation in three dimensions. (English) Zbl 1496.65162
Fast BDF2 ADI methods for the multi-dimensional tempered fractional integrodifferential equation of parabolic type. (English) Zbl 1524.65385
An efficient second-order finite volume ADI method for nonlinear three-dimensional space-fractional reaction-diffusion equations. (English) Zbl 1513.65329
A suite of Richardson preconditioners for semi-implicit all-scale atmospheric models. (English) Zbl 07536786
Finite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain. (English) Zbl 1489.65129
The error estimations of a two-level linearized compact ADI method for solving the nonlinear coupled wave equations. (English) Zbl 07496461
MSC:
65Mxx
Anomalous sorption kinetics of self-interacting particles by a spherical trap. (English) Zbl 1493.92024
Convergence analysis of the ADI scheme for parabolic problems using discrete harmonic functions. (English) Zbl 07492848
Fast ADI difference/compact difference schemes for the nonlocal evolution equation with weakly singular kernels in three dimensions. (English) Zbl 1540.65321
Temporal second-order finite difference schemes for variable-order time-fractional wave equations. (English) Zbl 1481.65128
A second order accurate fixed-grid method for multi-dimensional Stefan problem with moving phase change materials. (English) Zbl 1510.80021
Second-order BDF ADI Galerkin finite element method for the evolutionary equation with a nonlocal term in three-dimensional space. (English) Zbl 1484.65236
High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain. (English) Zbl 1484.65185
The formally second-order BDF ADI difference/compact difference scheme for the nonlocal evolution problem in three-dimensional space. (English) Zbl 1484.65345
A novel two-step streamline-diffusion FEM for singularly perturbed 2D parabolic PDEs. (English) Zbl 1484.65208
A linearized compact ADI numerical method for the two-dimensional nonlinear delayed Schrödinger equation. (English) Zbl 1510.65206
On higher-order compact ADI schemes for the variable coefficient wave equation. (English) Zbl 1510.65217
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087
Comparative analysis of model reduction strategies for circuit based periodic control problems. (English) Zbl 07886777
MSC:
93-XX
Analysis and efficient implementation of alternating direction implicit finite volume method for Riesz space-fractional diffusion equations in two space dimensions. (English) Zbl 1534.65205
A multi-GPU method for ADI-based fractional-step integration of incompressible Navier-Stokes equations. (English) Zbl 07695375
A fast temporal second-order compact ADI scheme for time fractional mixed diffusion-wave equations. (English) Zbl 1482.65141
Numerical methods for time-fractional convection-diffusion problems with high-order accuracy. (English) Zbl 07485648
Fourth-order alternating direction implicit difference scheme to simulate the space-time Riesz tempered fractional diffusion equation. (English) Zbl 1480.65200
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations. (English) Zbl 1480.65229
Numerical valuation of Bermudan basket options via partial differential equations. (English) Zbl 1480.91316
Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation. (English) Zbl 1476.65199
MSC:
65M06
The studies of the linearly modified energy-preserving finite difference methods applied to solve two-dimensional nonlinear coupled wave equations. (English) Zbl 1502.65058
An efficient alternating direction implicit finite difference scheme for the three-dimensional time-fractional telegraph equation. (English) Zbl 1524.65430
A second-order ADI difference scheme based on non-uniform meshes for the three-dimensional nonlocal evolution problem. (English) Zbl 1524.65386
Fast iterative solvers for the two-dimensional spatial fractional Ginzburg-Landau equations. (English) Zbl 1524.65435
Pointwise error estimate of an alternating direction implicit difference scheme for two-dimensional time-fractional diffusion equation. (English) Zbl 1524.65416
An ADI sparse grid method for pricing efficiently American options under the Heston model. (English) Zbl 1488.65232
Efficient spatial second-/fourth-order finite difference ADI methods for multi-dimensional variable-order time-fractional diffusion equations. (English) Zbl 1501.65034
Convergence analysis of the finite difference ADI scheme for the heat equation on a convex set. (English) Zbl 1483.65128
Reviewer: Hendrik Ranocha (Hamburg)
Efficient second-order ADI difference schemes for three-dimensional Riesz space-fractional diffusion equations. (English) Zbl 1524.65447
\(\alpha\)-robust \(H^1\)-norm convergence analysis of ADI scheme for two-dimensional time-fractional diffusion equation. (English) Zbl 1486.65133
A parallel cyclic reduction algorithm for pentadiagonal systems with application to a convection-dominated Heston PDE. (English) Zbl 1512.65196
A nonlinear fractional reaction-diffusion system applied to image denoising and decomposition. (English) Zbl 1466.94003
Adaptive pseudo-time methods for the Poisson-Boltzmann equation with Eulerian solvent excluded surface. (English) Zbl 1469.92049
A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. (English) Zbl 1471.65166
A linearized compact ADI scheme for semilinear parabolic problems with distributed delay. (English) Zbl 1466.65076
A Crank-Nicolson ADI quadratic spline collocation method for two-dimensional Riemann-Liouville space-fractional diffusion equations. (English) Zbl 1462.65162
Sharp error estimate of a compact \(L1\)-ADI scheme for the two-dimensional time-fractional integro-differential equation with singular kernels. (English) Zbl 1459.65160
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations. (English) Zbl 1459.65145
Application of the parallel diagonal dominant algorithm for the incompressible Navier-Stokes equations. (English) Zbl 07508412
On high-order compact schemes for the multidimensional time-fractional Schrödinger equation. (English) Zbl 1486.65101
A case study on pricing foreign exchange options using the modified Craig-Sneyd ADI scheme. (English) Zbl 1483.91255
A fourth-order compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. (English) Zbl 07475998
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