Found 234 Documents (Results 1–100)
Unconditional \({H}^2\)-stability of the Euler implicit/explicit SAV-based scheme for the 2D Navier-Stokes equations with smooth or nonsmooth initial data. (English) Zbl 07899545
Strong convergence analysis of spectral fractional diffusion equation driven by Gaussian noise with Hurst parameter less than \(\frac{1}{2}\). (English) Zbl 07861487
Unconditional convergence and error estimates of a fully discrete finite element method for the micropolar Navier-Stokes equations. (English) Zbl 07803023
Optimal error estimates of a SAV-FEM for the Cahn-Hilliard-Navier-Stokes model. (English) Zbl 07756782
Parameter robust higher-order finite difference method for convection-diffusion problem with time delay. (English) Zbl 07769112
Implicit relaxed all Mach number schemes for gases and compressible materials. (English) Zbl 1525.65088
Reviewer: Abdallah Bradji (Annaba)
Strong convergence rate of implicit Euler scheme to a CIR model with delay. (English) Zbl 1524.65043
An almost second-order robust computational technique for singularly perturbed parabolic turning point problem with an interior layer. (English) Zbl 1540.65226
Analysis of two spectral Galerkin approximation schemes for solving the perturbed FitzHugh-Nagumo neuron model. (English) Zbl 1538.65370
Effects of surface tension reduction on wind-wave growth and air-water scalar transfer. (English) Zbl 1543.76030
On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes. (English) Zbl 1512.65011
Semi-implicit Euler-Maruyama scheme for polynomial diffusions on the unit ball. (English) Zbl 1518.65014
Analysis of fully discrete finite element methods for 2D Navier-Stokes equations with critical initial data. (English) Zbl 1503.65238
A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. (English) Zbl 1503.65237
Reviewer: Lijun Yi (Shanghai)
Neural parametric Fokker-Planck equation. (English) Zbl 1493.65132
Reviewer: Bülent Karasözen (Ankara)
Influence of monotonization on the spectral resolution of bicompact schemes in the inviscid Taylor-Green vortex problem. (English. Russian original) Zbl 1496.76095
Comput. Math. Math. Phys. 62, No. 4, 608-623 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 4, 625-641 (2022).
A high order robust numerical scheme for singularly perturbed delay parabolic convection diffusion problems. (English) Zbl 07534932
Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations. (English) Zbl 1484.65143
Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations. (English) Zbl 1484.65276
High-accuracy time discretization of stochastic fractional diffusion equation. (English) Zbl 07435363
Unconditional stability and optimal error estimates of Euler implicit/explicit-SAV scheme for the Navier-Stokes equations. (English) Zbl 1490.65217
Collocation method using artificial viscosity for time dependent singularly perturbed differential-difference equations. (English) Zbl 1540.65406
Numerical attractors and approximations for stochastic or deterministic sine-Gordon lattice equations. (English) Zbl 1510.34118
Globally modified Navier-Stokes equations coupled with the heat equation: existence result and time discrete approximation. (English) Zbl 07907284
Time and space meshes adaptivity for the resolution of a semi-linear heat equation. (English) Zbl 1510.35335
The Euler implicit/explicit FEM for the Kelvin-Voigt model based on the scalar auxiliary variable (SAV) approach. (English) Zbl 1476.65258
Superconvergence analysis of a mixed finite element approximation for the nonlinear fourth-order Rosenau-RLW equation. (English) Zbl 1524.65592
Superconvergence error estimate of Galerkin method for Sobolev equation with Burgers’ type nonlinearity. (English) Zbl 1478.65092
Temporal error analysis of Euler semi-implicit scheme for the magnetohydrodynamics equations with variable density. (English) Zbl 1465.76054
Resolution of the implicit Euler scheme for the Navier-Stokes equation through a least-squares method. (English) Zbl 1459.35312
Reviewer: Piotr Biler (Wrocław)
Error analysis of Euler semi-implicit scheme for the nonstationary magneto-hydrodynamics problem with temperature dependent parameters. (English) Zbl 1456.65121
Long-time stability of the implicit Euler scheme for a three dimensional globally modified two-phase flow model. (English) Zbl 1455.35175
Reviewer: Gheorghe Moroşanu (Cluj-Napoca)
A modified incremental creep integral approach for meshfree analysis of viscoelastic problems. (English) Zbl 1464.74392
A structure-preserving discontinuous Galerkin scheme for the Fisher-KPP equation. (English) Zbl 1452.65225
Synchronization of multiplicative noise dissipative systems under discretization. (English) Zbl 07235540
MSC:
65-XX
Discretisation of global attractors for lattice dynamical systems. (English) Zbl 1466.34021
Reviewer: Oleg Anashkin (Simferopol)
Return-mapping algorithms for associative isotropic hardening plasticity using conic optimization. (English) Zbl 1481.74082
Influence of the regularity of the test functions for weak convergence in numerical discretization of SPDEs. (English) Zbl 1476.65265
Reviewer: Dana Černá (Liberec)
Error estimates of finite element method for semilinear stochastic strongly damped wave equation. (English) Zbl 1466.65143
On a positivity preserving numerical scheme for jump-extended CIR process: the alpha-stable case. (English) Zbl 1480.65017
A non-uniform discretization of stochastic heat equations with multiplicative noise on the unit sphere. (English) Zbl 06996235
On the Euler implicit/explicit iterative scheme for the stationary Oldroyd fluid. (English) Zbl 1407.76096
A first-order numerical scheme for forward-backward stochastic differential equations in bounded domains. (English) Zbl 1413.65012
Asymptotic-preserving and positivity-preserving implicit-explicit schemes for the stiff BGK equation. (English) Zbl 1388.82023
Numerical analysis of a dynamic problem involving bulk-surface surfactants. (English) Zbl 1384.65070
Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations. (English) Zbl 1432.65011
Runge-Kutta methods for linear semi-explicit operator differential-algebraic equations. (English) Zbl 1376.65111
Strong convergence rates of the linear implicit Euler method for the finite element discretization of SPDEs with additive noise. (English) Zbl 1433.65229
Dissipativity of the linearly implicit Euler scheme for Navier-Stokes equations with delay. (English) Zbl 1386.65147
An analysis of Schwarz waveform relaxation domain decomposition methods for the imaginary-time linear Schrödinger and Gross-Pitaevskii equations. (English) Zbl 1383.65122
Reviewer: Ruxandra Stavre (Bucureşti)
Parameter free hybrid numerical method for solving modified Burgers’ equations on a nonuniform mesh. (English) Zbl 1372.65232
Numerical approximation of a variational inequality related to the humid atmosphere. (English) Zbl 1371.35225
Reviewer: Cheng He (Beijing)
An efficient numerical scheme for 1D parabolic singularly perturbed problems with an interior and boundary layers. (English) Zbl 1357.65115
On global attractor for parabolic partial differential inclusion and its time semidiscretization. (English) Zbl 1536.35085
Hiriart-Urruty, Jean-Baptiste (ed.) et al., Advances in mathematical modeling, optimization and optimal control. Selected papers based on the presentations at the 16th French-German-Polish conference on optimization, Cracow, Poland, 2013. Cham: Springer. Springer Optim. Appl. 109, 35-64 (2016).
A high order compact difference scheme for the Burgers equation. (Chinese. English summary) Zbl 1363.65140
Local error estimates for the SUPG method applied to evolutionary convection-reaction-diffusion equations. (English) Zbl 1336.65151
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
On the hybrid finite difference scheme for a singularly perturbed Riccati equation. (English) Zbl 1335.65061
Reviewer: Srinivasan Natesan (Assam)
Analysis of some numerical methods on layer adapted meshes for singularly perturbed quasilinear systems. (English) Zbl 1335.65062
Reviewer: Srinivasan Natesan (Assam)
A finite difference method for fractional diffusion equations with Neumann boundary conditions. (English) Zbl 1515.35326
Corrected implicit schemes for fractional stochastic differential equation. (Chinese. English summary) Zbl 1340.65010
Multilevel Monte Carlo quadrature of discontinuous payoffs in the generalized Heston model using Malliavin integration by parts. (English) Zbl 1338.60168
Numerical analysis of a new space-time variable fractional order advection-dispersion equation. (English) Zbl 1334.65143
The rain on underground porous media. I. Analysis of a Richards model. (English) Zbl 1328.76067
Ciarlet, Philippe G. (ed.) et al., Partial differential equations. Theory, control and approximation. In honor of the scientific heritage of Jacques-Louis Lions. Selected papers based on the presentations at the international conference on partial differential equations: theory, control and approximation, Shanghai, China, May 28 – June 1, 2012. Berlin: Springer (ISBN 978-3-642-41400-8/hbk; 978-3-642-41401-5/ebook). 41-66 (2014).
A robust numerical scheme for singularly perturbed delay parabolic initial-boundary-value problems on equidistributed grids. (English) Zbl 1312.65135
An asymptotic preserving method for linear systems of balance laws based on Galerkin’s method. (English) Zbl 1310.65129
Reviewer: K. N. Shukla (Gurgaon)
Semi-implicit Euler schemes for ordinary differential inclusions. (English) Zbl 1296.65098
Reviewer: Christian Pötzsche (Klagenfurt)
Convergence of the Swartztrauber-Sweet method for parabolic problems on a disk with singularities. (English) Zbl 1287.65070
Convergence of projection difference method of approximate solution in parabolic equation with symmetric operator and integral condition for the solution. (Russian. English summary) Zbl 1475.65096
Tau leaping of stiff stochastic chemical systems via local central limit approximation. (English) Zbl 1302.65033
Reviewer: Ilya A. Chernov (Petrozavodsk)
Analysis and application of the discontinuous Galerkin method to the RLW equation. (English) Zbl 1293.65123
The numerical simulation of space-time variable fractional order diffusion equations. (English) Zbl 1299.26016
Strong convergence rates for backward Euler-Maruyama method for non-linear dissipative-type stochastic differential equations with super-linear diffusion coefficients. (English) Zbl 1304.65009
Reviewer: Robert G. Buschman (Bandon)
Accuracy of discrete schemes for a class of abstract evolution inequalities. (English. Russian original) Zbl 1285.65052
Differ. Equ. 49, No. 7, 824-834 (2013); translation from Differ. Uravn. 49, No. 7, 853-862 (2013).
Reviewer: Costică Moroşanu (Iaşi)
Approximation of the long-term dynamics of the dynamical system generated by the two-dimensional thermohydraulics equations. (English) Zbl 1283.65079
Reviewer: Jiguang Sun (Dover)
Higher order spatial approximations for degenerate parabolic stochastic partial differential equations. (English) Zbl 1283.65006
Reviewer: R. E. Maiboroda (Kyïv)
Pathwise Hölder convergence of the implicit-linear Euler scheme for semi-linear SPDEs with multiplicative noise. (English) Zbl 1284.65009
Reviewer: R. E. Maiboroda (Kyïv)
Convergence order of implicit Euler numerical scheme for maximal monotone differential inclusions. (English) Zbl 1281.34109
Reviewer: Zhenbin Fan (Jiangsu)
Strong order one convergence of a drift implicit Euler scheme: application to the CIR process. (English) Zbl 1273.65007
Reviewer: Kevin Burrage (Brisbane)
A singularily perturbed convection-diffusion problem with a moving interior layer. (English) Zbl 1270.65047
Reviewer: Srinivasan Natesan (Assam)
Approximation of stochastic partial differential equations by a kernel-based collocation method. (English) Zbl 1269.65006
Reviewer: Grigori N. Milstein (Yekaterinburg)
Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients. (English) Zbl 1256.65003
Reviewer: Melvin D. Lax (Long Beach)
A convergent mixed method for the Stokes approximation of viscous compressible flow. (English) Zbl 1427.76131
Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows. (English) Zbl 1248.35164
Reviewer: I. N. Katz (St. Louis)
A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems. (English) Zbl 1245.65108
Reviewer: Marius Ghergu (Dublin)
Convergence of a projection difference method for the approximate solution on a parabolic equation with integral condition for the solution. (Russian. English summary) Zbl 1323.65100
Preservation of stability type of difference schemes when solving stiff differential algebraic equations. (Russian, English) Zbl 1299.65174
Sib. Zh. Vychisl. Mat. 14, No. 4, 443-456 (2011); translation in Numer. Analysis Appl. 4, No. 4, 363-375 (2011).
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