Found 2,732 Documents (Results 1–100)
Stable backward differentiation formula time discretization of BGN-based parametric finite element methods for geometric flows. (English) Zbl 07931262
Accurate computations of singular values and linear systems for polynomial-Vandermonde-type matrices. (English) Zbl 07930247
A proposed numerical method for solving real-life models: development and analysis. (English) Zbl 07925166
Towards chemical accuracy using a multi-mesh adaptive finite element method in all-electron density functional theory. (English) Zbl 07923412
High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes. (English) Zbl 07922810
Global second-order immersed interface Poisson solver using zero-order local truncation errors. (English) Zbl 07922499
Splitting technique and Godunov-type schemes for 2D shallow water equations with variable topography. (English) Zbl 07922341
The ADER approach for approximating hyperbolic equations to very high accuracy. (English) Zbl 07921314
Parés, Carlos (ed.) et al., Hyperbolic problems: theory, numerics, applications, HYP2022. Proceedings of the XVIII international conference, Málaga, Spain, June 20–24, 2022. Volume I. Cham: Springer. SEMA SIMAI Springer Ser. 34, 83-105 (2024).
Integrable discretization of linear and logistic equations under random intervals with higher-order accuracy. (English) Zbl 07910136
Upwind summation-by-parts finite differences: error estimates and WENO methodology. (English) Zbl 07909823
A numerical computation for solving delay and neutral differential equations based on a new modification to the Legendre wavelet method. (English) Zbl 07908214
Meshless analysis of fractional diffusion-wave equations by generalized finite difference method. (English) Zbl 07903720
Solving nonlinear Fredholm integro-differential equations with combined orthonormal Bernstein and improved block-pulse functions. (English) Zbl 07901948
Conformal structure-preserving SVM methods for the nonlinear Schrödinger equation with weakly linear damping term. (English) Zbl 07901899
Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing. (English) Zbl 07899947
A new class of high-order supplementary variable methods for the Klein-Gordon-Zakharov system. (English) Zbl 07899928
Surface boundary condition (SBC)-based FDTD formulations for lossy dispersive media. (English) Zbl 07899282
New implicit time integration schemes combining high frequency damping with high second order accuracy. (English) Zbl 07899019
A new type of simplified inverse Lax-Wendroff boundary treatment. I: Hyperbolic conservation laws. (English) Zbl 07899018
GQL-based bound-preserving and locally divergence-free central discontinuous Galerkin schemes for relativistic magnetohydrodynamics. (English) Zbl 07898979
Analytical-numerical method for solving the spectral problem in a model of geostrophic ocean currents. (English) Zbl 07897448
Numerical analysis of time filter method for the stabilized incompressible diffusive Peterlin viscoelastic fluid model. (English) Zbl 07894783
Total positivity and high relative accuracy for several classes of Hankel matrices. (English) Zbl 07893436
The second-order accuracy difference schemes for integral-type time-nonlocal parabolic problems. (English. Russian original) Zbl 07891526
J. Math. Sci., New York 283, No. 2, 195-210 (2024); translation from Sovrem. Mat., Fundam. Napravl. 69, No. 1, 32-49 (2023).
On the total positivity of q-Bernstein mass matrices and their accurate computations. (English) Zbl 07890876
A three-dimensional consistent ordinary state-based peridynamic formulation with high accuracy. (English) Zbl 07886282
Fully decoupled unconditionally stable Crank-Nicolson leapfrog numerical methods for the Cahn-Hilliard-Darcy system. (English) Zbl 07882735
Superconvergence analysis of an anisotropic nonconforming FEM for parabolic equation. (English) Zbl 07881070
Second-order decoupled linear energy-law preserving gPAV numerical schemes for two-phase flows in superposed free flow and porous media. (English) Zbl 07880219
A class of new implicit compact sixth-order approximations for Poisson equations and the estimates of normal derivatives in multi-dimensions. (English) Zbl 07878056
Computing nodes for plane data points by constructing cubic polynomial with constraints. (English) Zbl 07873091
MSC:
65Dxx
Suppressing spatial dispersion of seismic finite-difference modeling with the improved pix2pix algorithm. (English) Zbl 07870126
Accuracy of an implicit scheme for the finite element method with a penalty for a nonlocal parabolic obstacle problem. (English. Russian original) Zbl 07868690
Russ. Math. 68, No. 2, 1-17 (2024); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2024, No. 2, 3-21 (2024).
Recent advances in the numerical solution of the nonlinear Schrödinger equation. (English) Zbl 07866531
MSC:
65Mxx
Spatial second-order positive and asymptotic preserving filtered \(P_N\) schemes for nonlinear radiative transfer equations. (English) Zbl 07863614
An efficient fourth-order structure-preserving scheme for the nonlocal Klein-Gordon-Schrödinger system. (English) Zbl 07863386
A simple and efficient convex optimization based bound-preserving high order accurate limiter for Cahn-Hilliard-Navier-Stokes system. (English) Zbl 07860857
RA-HOOI: rank-adaptive higher-order orthogonal iteration for the fixed-accuracy low multilinear-rank approximation of tensors. (English) Zbl 07859306
A space-time Petrov-Galerkin method for the two-dimensional regularized long-wave equation. (English) Zbl 07856306
Difference scheme for the wave equation. (Russian. English summary) Zbl 07855640
Cross element integration for superconvergent frequency computation with cubic isogeometric formulation. (English) Zbl 07855357
Approximation of the subdiffusion equation with solution-dependent fractional time derivative and diffusion coefficient. (English) Zbl 07853990
Exponential approximation space reconstruction weighted essentially nonoscillatory scheme for dispersive partial differential equations. (English) Zbl 1539.65092
Actual accuracy of linear schemes of high-order approximation in gasdynamic simulations. (English) Zbl 07849563
Stability analysis and performance evaluation of additive mixed-precision Runge-Kutta methods. (English) Zbl 07846938
A provable positivity-preserving local discontinuous Galerkin method for the viscous and resistive MHD equations. (English) Zbl 07846920
An efficient data assimilation based unconditionally stable scheme for Cahn-Hilliard equation. (English) Zbl 07846887
MSC:
65N12
Interval type-2 fuzzy systems on the basis of vague partitions and their approximation properties. (English) Zbl 07846885
On the monotonicity of \(Q^2\) spectral element method for Laplacian on quasi-uniform rectangular meshes. (English) Zbl 1536.65139
High order absolutely convergent fast sweeping methods with multi-resolution WENO local solvers for Eikonal and factored Eikonal equations. (English) Zbl 07845609
A low-regularity Fourier integrator for the Davey-Stewartson II system with almost mass conservation. (English) Zbl 07844473
Computing multi-eigenpairs of high-dimensional eigenvalue problems using tensor neural networks. (English) Zbl 07843831
Second-order accurate and unconditionally stable algorithm with unique solvability for a phase-field model of 3D volume reconstruction. (English) Zbl 07842859
A high-efficiency adaptive TENO scheme with optimal accuracy order for compressible flow simulation. (English) Zbl 07839799
On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data. (English) Zbl 1537.65103
Analysis on a high accuracy fully implicit solution for strong nonlinear diffusion problem – convergence, stability, and uniqueness. (English) Zbl 07834042
Biquadratic element discrete duality finite volume method for solving elliptic equations on quadrilateral mesh. (English) Zbl 07833843
Numerical approximation of kinetic Fokker-Planck equations with specular reflection boundary conditions. (English) Zbl 1537.65114
A stable meshless numerical scheme using hybrid kernels to solve linear Fredholm integral equations of the second kind and its applications. (English) Zbl 1540.65539
A decoupled, linearly implicit and high-order structure-preserving scheme for Euler-Poincaré equations. (English) Zbl 1540.65291
Accurate bidiagonal decomposition of Lagrange-Vandermonde matrices and applications. (English) Zbl 07830554
High-order entropy stable schemes based on a local adaptive WENO viscosity for degenerate convection-diffusion equations. (English) Zbl 07827772
New simple local smoothness indicators for fifth-order WENO schemes simulating compressible flows. (English) Zbl 07827758
MSC:
65Mxx
A structure-preserving projection method with formal second-order accuracy for the incompressible Navier-Stokes equations. (English) Zbl 07827653
Continuous data assimilation of a discretized barotropic vorticity model of geophysical flow. (English) Zbl 07824641
Optimal implicit single-step time integration methods with equivalence to the second-order-type linear multistep methods for structural dynamics: accuracy analysis based on an analytical framework. (English) Zbl 1536.74304
Conservative higher-order finite difference scheme for the coupled nonlinear Schrödinger equations. (English) Zbl 1533.65125
Improved uniform error bounds on parareal exponential algorithm for highly oscillatory systems. (English) Zbl 1533.65101
Approximate deconvolution with correction – a high fidelity model for magnetohydrodynamic flows at high Reynolds and magnetic Reynolds numbers. (English) Zbl 1534.76096
Provably convergent Newton-Raphson methods for recovering primitive variables with applications to physical-constraint-preserving Hermite WENO schemes for relativistic hydrodynamics. (English) Zbl 07797648
Convolution finite element based digital image correlation for displacement and strain measurements. (English) Zbl 1536.74264
The joint bidiagonalization of a matrix pair with inaccurate inner iterations. (English) Zbl 1542.65047
A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. (English) Zbl 1531.65138
Reviewer: Abdallah Bradji (Annaba)
A shock-stable numerical scheme accurate for contact discontinuities: applications to 3D compressible flows. (English) Zbl 1536.65094
Reviewer: Ljiljana Teofanov (Novi Sad)
MSC:
65M08
65M06
65L06
65N08
65M12
65M15
76N10
76L05
76N15
76F40
76F50
76M12
76M20
35L65
35L67
35Q31
Structure preserving schemes for Fokker-Planck equations of irreversible processes. (English) Zbl 1530.65087
Explicit high accuracy energy-preserving Lie-group sine pseudo-spectral methods for the coupled nonlinear Schrödinger equation. (English) Zbl 07763845
A coupled nonlinear finite element scheme for anisotropic diffusion equation with nonlinear capacity term. (English) Zbl 07756733
Higher-order accurate explicit time schemes with improved dissipation properties. (English) Zbl 1537.74335
An accurate, controllably dissipative, unconditionally stable three-sub-step method for nonlinear dynamic analysis of structures. (English) Zbl 1537.74074
MSC:
74H15
Numerical simulation of the interaction of a deformable gas permeable fragment of a granular layer with a shock wave in a three-dimensional formation. (Russian. English summary) Zbl 07845751
A new type of improved third order WENO scheme with finite difference framework. (English) Zbl 07843852
Error analysis of a linear numerical scheme for the Landau-Lifshitz equation with large damping parameters. (English) Zbl 1536.65082
Error estimation in approximate solution of the Cauchy problem in second-order accuracy. (English) Zbl 07806352
MSC:
65L05
Solution of the Cauchy problem for ordinary differential equations using the collocation and least squares method with the Pade approximation. (English) Zbl 1534.34019
An active flux method for the Vlasov-Poisson system. (English) Zbl 1533.65145
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 2. Hyperbolic and related problems. FVCA10, Strasbourg, France, October 30 – November 3, 2023. Cham: Springer. Springer Proc. Math. Stat. 433, 93-101 (2023).
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
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