Found 4,598 Documents (Results 1–100)
\(\mathrm{L}1\)-FEM discretizations for two-dimensional multiterm fractional delay diffusion equations. (English) Zbl 07912572
Stability analysis for modelling 3D poroelastic wave propagation by high-order staggered-grid schemes. (English) Zbl 07908868
High order asymptotic preserving scheme for diffusive scaled linear kinetic equations with general initial conditions. (English) Zbl 07902501
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems. (English) Zbl 07901895
The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation. (English) Zbl 1543.65134
An analytical and numerical study of the Diaz-Solovchuk-Sheu acoustic model: how does it compare with Blackstock’s in approximating the Euler system? (English) Zbl 07899514
An efficient rotational pressure-correction schemes for 2D/3D closed-loop geothermal system. (English) Zbl 07896656
Numerical solutions of the nonlinear wave equations with energy-preserving sixth-order finite difference schemes. (English) Zbl 07894774
Method for constructing high-order approximation schemes for hyperbolic equations. (Russian. English summary) Zbl 07891557
MSC:
76-XX
Computational decomposition and composition technique for approximate solution of nonstationary problems. (English) Zbl 1542.65092
On the use of monotonicity-preserving interpolatory techniques in multilevel schemes for balance laws. (English) Zbl 1541.76062
Efficient finite difference WENO scheme for hyperbolic systems with non-conservative products. (English) Zbl 1541.65065
High order asymptotic preserving and classical semi-implicit RK schemes for the Euler-Poisson system in the quasineutral limit. (English) Zbl 07880207
Application of high-performance computing to solve the Cauchy problem with the fractional Riccati equation using an nonlocal implicit finite-difference scheme. (Russian. English summary) Zbl 07864148
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations. (English) Zbl 07860040
A Crank-Nicolson WG-FEM for unsteady 2D convection-diffusion equation with nonlinear reaction term on layer adapted mesh. (English) Zbl 1542.65111
Implicit and fully discrete approximation of the supercooled Stefan problem in the presence of blow-ups. (English) Zbl 07852680
Sparse-grid implementation of fixed-point fast sweeping WENO schemes for eikonal equations. (English) Zbl 07846910
Maximum-principle-preserving, steady-state-preserving and large time-stepping high-order schemes for scalar hyperbolic equations with source terms. (English) Zbl 1536.65084
A locally one-dimensional scheme for the third initial boundary value problem for a multidimensional Sobolev-type equation with a memory effect. (Russian. English summary) Zbl 07845712
High order absolutely convergent fast sweeping methods with multi-resolution WENO local solvers for Eikonal and factored Eikonal equations. (English) Zbl 07845609
Towards a genuinely stable boundary closure for pentadiagonal compact finite difference schemes. (English) Zbl 07842869
Extending nonstandard finite difference scheme rules to systems of nonlinear ODEs with constant coefficients. (English) Zbl 07841650
Asymptotic-preserving neural networks for multiscale Vlasov-Poisson-Fokker-Planck system in the high-field regime. (English) Zbl 07841555
Reviewer: Claudia Simionescu-Badea (Wien)
Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation. (English) Zbl 07841116
A second-order nonstandard finite difference scheme and application to a model of biological and chemical processes. (English) Zbl 1542.37076
Gumel, Abba B. (ed.), Mathematical and computational modeling of phenomena arising in population biology and nonlinear oscillations. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 793, 1-15 (2024).
Local characteristic decomposition-free high-order finite difference WENO schemes for hyperbolic systems endowed with a coordinate system of Riemann invariants. (English) Zbl 07837064
MSC:
65M06
On the accuracy of shock-capturing schemes when calculating Cauchy problems with periodic discontinuous initial data. (English) Zbl 1537.65103
A dynamically consistent nonstandard finite difference scheme for a generalized SEIR epidemic model. (English) Zbl 1537.92124
Optimal error estimates of a linearized second-order BDF scheme for a nonlocal parabolic problem. (English) Zbl 1536.65107
Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux. (English) Zbl 1534.65129
A first-order computational algorithm for reaction-diffusion type equations via primal-dual hybrid gradient method. (English) Zbl 1533.65152
Novel numerical approach for time fractional equations with nonlocal condition. (English) Zbl 1534.65146
A stiff-cut splitting technique for stiff semi-linear systems of differential equations. (English) Zbl 1533.65096
Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation. (English) Zbl 1534.65149
Stable difference schemes for hyperbolic-parabolic equations with unknown parameter. (English) Zbl 1534.65121
The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme. (English) Zbl 1531.35130
A finite difference method on quasi-uniform grids for the fractional boundary-layer Blasius flow. (English) Zbl 1540.76131
A conservative a-posteriori time-limiting procedure in Quinpi schemes. (English) Zbl 07921308
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 191-212 (2023).
A non-local system modeling bi-directional traffic flows. (English) Zbl 07921302
Albi, Giacomo (ed.) et al., Advances in numerical methods for hyperbolic balance laws and related problems. Based on talks given at the young researchers’ conference “Numerical aspects of hyperbolic balance laws and related problems”, University of Verona, Verona, Italy, December 2021. Cham: Springer. SEMA SIMAI Springer Ser. 32, 49-66 (2023).
Mean field games of energy storage devices: a finite difference analysis. (English) Zbl 07892619
MSC:
93-XX
Parallelization of a numerical algorithm for solving the Cauchy problem for a nonlinear differential equation of fractional variable order using OpenMP technology. (English) Zbl 07823377
A second-order ADI method for pricing options under fractional regime-switching models. (English) Zbl 1533.91498
Reviewer: Nikolay Kyurkchiev (Plovdiv)
On the integral convergence of numerical schemes calculating gas-dynamic shock waves. (English. Russian original) Zbl 1534.65142
Dokl. Math. 108, No. 2, 374-381 (2023); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 513, 57-65 (2023).
Reducing numerical artifacts by sacrificing well-balance for rotating shallow-water flow. (English) Zbl 1534.65157
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, 181-189 (2023).
Reviewer: Abdallah Bradji (Annaba)
Two-dimensional linear implicit relaxed scheme for hyperbolic conservation laws. (English) Zbl 1534.65158
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, 171-179 (2023).
Reviewer: Abdallah Bradji (Annaba)
Finite difference schemes for a size structured coagulation-fragmentation model in the space of Radon measures. (English) Zbl 1540.65267
Two high-order compact difference schemes with temporal graded meshes for time-fractional Black-Scholes equation. (English) Zbl 1542.91424
Reviewer: Vassil Grozdanov (Blagoevgrad)
Numerical schemes for a class of nonlocal conservation laws: a general approach. (English) Zbl 1535.65154
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
High order method for variable coefficient integro-differential equations and inequalities arising in option pricing. (English) Zbl 1538.65264
Implicit finite-difference schemes for equations of one-dimensional hemodynamics. (Russian. English summary) Zbl 1531.65110
On the spectrum structure for one difference eigenvalue problem with nonlocal boundary conditions. (English) Zbl 1538.65478
Refined schemes for computing the dynamics of elastoviscoplastic media. (English. Russian original) Zbl 1528.74020
Comput. Math. Math. Phys. 63, No. 10, 1874-1885 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 10, 1647-1686 (2023).
Three-level schemes with double change in the time step. (English. Russian original) Zbl 1530.65095
Comput. Math. Math. Phys. 63, No. 11, 1989-1995 (2023); translation from Zh. Vychisl. Mat. Mat. 63, No. 11, 1799-1805 (2023).
A semi-adaptive preservative scheme for a fractional quenching convective-diffusion problem. (English) Zbl 1538.65255
High-order low-dissipation shock-resolving TENO-THINC schemes for hyperbolic conservation laws. (English) Zbl 1529.65019
Genuinely multidimensional physical-constraints-preserving finite volume schemes for the special relativistic hydrodynamics. (English) Zbl 1538.65302
A skeletal high-order structure preserving scheme for advection-diffusion equations. (English) Zbl 1529.65041
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 345-354 (2023).
A high order semi-implicit scheme for ideal magnetohydrodynamics. (English) Zbl 1529.65028
Franck, Emmanuel (ed.) et al., Finite volumes for complex applications X – Volume 1. Elliptic and parabolic problems. FVCA 10, Strasbourg, France, October 30 – November 3, 2023. Invited contributions. Cham: Springer. Springer Proc. Math. Stat. 432, 21-37 (2023).
Higher order accurate compact schemes for time dependent linear and nonlinear convection-diffusion equations. (English) Zbl 1538.76180
Linear system of singularly perturbed initial value problems with Robin initial conditions. (English) Zbl 07779913
Approximation and stability properties of numerical methods for hyperbolic conservation laws. (English) Zbl 07779817
Wiesbaden: Springer Spektrum (ISBN 978-3-658-42619-4/pbk; 978-3-658-42620-0/ebook). xv, 486 p. (2023).
Modified equation based mesh adaptation algorithm for evolutionary scalar partial differential equations. (English) Zbl 1533.65116
Time complexity analysis of quantum difference methods for multiscale transport equations. (English) Zbl 1535.81115
Adaptive high-order A-WENO schemes based on a new local smoothness indicator. (English) Zbl 1527.65070
A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1534.65177
Reviewer: Bülent Karasözen (Ankara)
An asymptotic preserving scheme for the shallow-water equations with Manning friction using viscous correction of the HLL scheme. (English) Zbl 1535.76068
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 1535.65177
Efficient sparse-grid implementation of a fifth-order multi-resolution WENO scheme for hyperbolic equations. (English) Zbl 1538.65278
Geometric quasilinearization framework for analysis and design of bound-preserving schemes. (English) Zbl 1527.65082
Efficient energy structure-preserving schemes for three-dimensional Maxwell’s equations. (English) Zbl 1535.78007
Experimental convergence rate study for three shock-capturing schemes and development of highly accurate combined schemes. (English) Zbl 07769119
A positivity preserving high-order finite difference method for compressible two-fluid flows. (English) Zbl 07769110
A hybrid technique based on Lucas polynomials for solving fractional diffusion partial differential equation. (English) Zbl 1526.65049
Reviewer: Abdallah Bradji (Annaba)
A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes. (English) Zbl 1529.65070
Reviewer: Murli Gupta (Washington, D.C.)
Positivity-preserving nonstaggered central difference schemes solving the two-layer open channel flows. (English) Zbl 1538.76123
Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods. (English) Zbl 07748283
Optimal long-time decay rate of numerical solutions for nonlinear time-fractional evolutionary equations. (English) Zbl 1523.65074
Non-relaxed finite volume fractional step schemes for unsteady incompressible flows. (English) Zbl 1538.76048
A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes. (English) Zbl 1523.65077
Reviewer: Abdallah Bradji (Annaba)
Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term. (English) Zbl 07737663
Dispersion analysis of numerical schemes using 2D compressible linearized Navier-Stokes equation for direct numerical simulation. (English) Zbl 1521.76768
A new type of weighted compact nonlinear scheme with minimum dispersion and adaptive dissipation for compressible flows. (English) Zbl 1521.76613
Operator-difference schemes on non-uniform grids for second-order evolutionary equations. (English) Zbl 1522.65157
Richardson extrapolation technique for generalized Black-Scholes PDEs for European options. (English) Zbl 1524.65313
Approximation of integration over finite groups, difference sets and association schemes. (English) Zbl 1520.20053
Reviewer: Enrico Jabara (Venezia)
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