Found 3,560 Documents (Results 1–100)
Energy-conserving SAV-Hermite-Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein-Gordon system in multi-dimensional unbounded domains. (English) Zbl 07901834
Projective integration methods in the Runge-Kutta framework and the extension to adaptivity in time. (English) Zbl 07901803
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 07916679
Development of a less dissipative interface variable reconstruction to solve the Euler equations by Q learning method. (English) Zbl 07916204
Direct discontinuous Galerkin method with interface correction for the Keller-Segel chemotaxis model. (English) Zbl 07915982
Local discontinuous Galerkin methods with multistep implicit-explicit time discretization for nonlinear Schrödinger equations. (English) Zbl 07915953
A fast explicit time-splitting spectral scheme for the viscous Cahn-Hilliard equation with nonlocal diffusion operator. (English) Zbl 07903695
Stability analysis and error estimate of the explicit single-step time-marching discontinuous Galerkin methods with stage-dependent numerical flux parameters for a linear hyperbolic equation in one dimension. (English) Zbl 07902990
Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction. (English) Zbl 07902499
Conformal structure-preserving SVM methods for the nonlinear Schrödinger equation with weakly linear damping term. (English) Zbl 07901899
Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889
Maximum bound principle for matrix-valued Allen-Cahn equation and integrating factor Runge-Kutta method. (English) Zbl 07899581
Unconditional long-time stability-preserving second-order BDF fully discrete method for fractional Ginzburg-Landau equation. (English) Zbl 07899572
Multistage discontinuous Petrov-Galerkin time-marching scheme for nonlinear problems. (English) Zbl 07899524
Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. (English) Zbl 07898994
A convergent entropy-dissipating BDF2 finite-volume scheme for a population cross-diffusion system. (English) Zbl 07898899
MSC:
65Mxx
An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme. (English) Zbl 07886708
On null Cartan normal isophotic and normal silhouette curves on a timelike surface in Minkowski 3-space. (English) Zbl 07883098
Multiderivative time integration methods preserving nonlinear functionals via relaxation. (English) Zbl 07882863
A discontinuous Galerkin method based on POD model reduction for Euler equation. (English) Zbl 07880878
On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations. (English) Zbl 07880217
Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space. (English) Zbl 1541.65113
Efficient and parallel solution of high-order continuous time Galerkin for dissipative and wave propagation problems. (English) Zbl 07871674
Fully decoupled and high-order linearly implicit energy-preserving RK-GSAV methods for the coupled nonlinear wave equation. (English) Zbl 1541.65068
Asymptotic preserving methods for quasilinear hyperbolic systems with stiff relaxation: a review. (English) Zbl 07861010
Fractional block method for the solution of fractional order differential equations. (English) Zbl 07858292
Maximum-principle-preserving, steady-state-preserving and large time-stepping high-order schemes for scalar hyperbolic equations with source terms. (English) Zbl 1536.65084
Discrete-velocity-direction models of BGK-type with minimum entropy. II: Weighted models. (English) Zbl 07846586
Reviewer: Dimitar A. Kolev (Sofia)
On the maximum principle and high-order, delay-free integrators for the viscous Cahn-Hilliard equation. (English) Zbl 1540.35080
An ultra-weak local discontinuous Galerkin method with generalized numerical fluxes for the KdV-Burgers-Kuramoto equation. (English) Zbl 1541.65103
An entropy stable essentially oscillation-free discontinuous Galerkin method for hyperbolic conservation laws. (English) Zbl 1541.65104
Numerical solution on neutral delay Volterra integro-differential equation. (English) Zbl 1537.65200
Construction and mean-square stability analysis of a new family of stochastic Runge-Kutta methods. (English) Zbl 07834004
Numerical approximation of kinetic Fokker-Planck equations with specular reflection boundary conditions. (English) Zbl 1537.65114
A promising exponentially-fitted two-derivative Runge-Kutta-Nyström method for solving \(y''= f(x,y)\): application to Verhulst logistic growth model. (English) Zbl 1540.65209
A computational approach to solving some applied rigid second-order problems. (English) Zbl 1540.65201
A class of unconditionally energy stable relaxation schemes for gradient flows. (English) Zbl 1540.65347
Development of high-order adaptive multi-step Runge-Kutta-Nyström method for solving special second-order ODEs. (English) Zbl 1540.65206
On the radial discretization in the frequency-domain SBFEM: recovering inner-subdomain solutions. (English) Zbl 1539.65107
Number of solitons emerged in the initial profile of shallow water using convolutional neural networks. (English) Zbl 1536.35283
Many-stage optimal stabilized Runge-Kutta methods for hyperbolic partial differential equations. (English) Zbl 1535.65163
Reviewer: Bülent Karasözen (Ankara)
On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge-Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. (English) Zbl 1539.65078
An oscillation-free spectral volume method for hyperbolic conservation laws. (English) Zbl 1535.65161
Reviewer: Abdallah Bradji (Annaba)
A conservative Eulerian-Lagrangian Runge-Kutta discontinuous Galerkin method for linear hyperbolic system with large time stepping. (English) Zbl 1534.65182
Reviewer: Bülent Karasözen (Ankara)
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 1533.65191
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
High-order symmetric and energy-preserving collocation integrators for the second-order Hamiltonian system. (English) Zbl 1535.65303
On state feedback control of a class of nonlinear PDE systems in finite dimension. (English) Zbl 1531.35316
A mass-preserving characteristic finite difference method for miscible displacement problem. (English) Zbl 1538.65292
A new discretely divergence-free positivity-preserving high-order finite volume method for ideal MHD equations. (English) Zbl 1531.65138
Reviewer: Abdallah Bradji (Annaba)
Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations. (English) Zbl 1531.65142
Asymptotical stability of the exact solutions and the numerical solutions for impulsive neutral differential equations. (English) Zbl 1538.34317
High-order exponential integrators for the Riesz space-fractional telegraph equation. (English) Zbl 1530.65088
Fourth-Order Paired-Explicit Runge-Kutta Methods. arXiv:2408.05470
Preprint, arXiv:2408.05470 [math.NA] (2024).
The jump filter in the discontinuous Galerkin method for hyperbolic conservation laws. arXiv:2407.19169
Preprint, arXiv:2407.19169 [math.NA] (2024).
Analysis for Implicit and Implicit-Explicit ADER and DeC Methods for Ordinary Differential Equations, Advection-Diffusion and Advection-Dispersion Equations. arXiv:2404.18626
Preprint, arXiv:2404.18626 [math.NA] (2024).
Numerical Methods for Optimal Boundary Control of Advection-Diffusion-Reaction Systems. arXiv:2404.09209
Preprint, arXiv:2404.09209 [math.NA] (2024).
The Runge–Kutta discontinuous Galerkin method with stage-dependent polynomial spaces for hyperbolic conservation laws. arXiv:2402.15150
Preprint, arXiv:2402.15150 [math.NA] (2024).
Stability theory of TASE-Runge-Kutta methods with inexact Jacobian. arXiv:2401.10088
Preprint, arXiv:2401.10088 [math.NA] (2024).
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).
On the anti-aliasing properties of entropy filtering for discontinuous spectral element approximations of under-resolved turbulent flows. (English) Zbl 1541.65120
An adaptive discrete physics-informed neural network method for solving the Cahn-Hilliard equation. (English) Zbl 1537.65151
Higher-order accurate explicit time schemes with improved dissipation properties. (English) Zbl 1537.74335
The implicit multistep block method with an off-step point for initial value problems of neutral delay Volterra integro-differential equations. (English) Zbl 1537.65199
Direct multistep method for solving retarded and neutral delay differential equation with boundary and initial value problems. (English) Zbl 1541.65051
Quadratic regression analysis of the unsteady \(\mathrm{Ag+TiO_2/H_2O}\), \(\mathrm{Ag+TiO_2/CH_3 OH}\) and \(\mathrm{Ag+TiO_2/H_2 O}\)-\(\mathrm{C_2 H_6O_2}\) hybrid nano-fluids flow along a deformable cylinder with oblique Lorentz force: a comparative approach. (English) Zbl 1537.35294
MSC:
35Q35
35Q74
35Q79
76T20
76S05
76V05
80A19
80A21
78A35
82D80
74F10
74F05
74F15
74F25
74M10
35A24
62J05
65L10
65L06
Finding solution to the initial value problem for ODEs first and second order by one and the same method. (English) Zbl 1535.65093
Zeidan, Dia (ed.) et al., Mathematics and computation. IACMC 2022. Selected papers based on the presentations at the 7th international Arab conference on mathematics and computations, Zarqa, Jordan, May 11–13, 2022. Singapore: Springer. Springer Proc. Math. Stat. 418, 325-338 (2023).
A three-step Simpson’s type exponentially-fitted backward difference method for the numerical solution of first order ordinary differential equations. (English) Zbl 1534.65099
A seventh-order computational algorithm for the solution of stiff systems of differential equations. (English) Zbl 1534.65096
Two-step second-derivative block hybrid methods for the integration of initial value problems. (English) Zbl 1532.34090
Block bi-basis collocation method for direct approximation of fourth-order IVP. (English) Zbl 1534.65098
A modifieed split-step truncated Euler-Maruyama method for SDEs with non-globally Lipschitz continuous coefficients. (English) Zbl 1533.65019
A modified reproducing kernel Hilbert space method for solving fuzzy fractional integro-differential equations. (English) Zbl 07805584
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)
On thermodynamically compatible finite volume schemes for overdetermined hyperbolic systems. (English) Zbl 1534.65154
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, 103-110 (2023).
Reviewer: Petr Sváček (Praha)
A time adaptive multirate Dirichlet-Neumann waveform relaxation method for heterogeneous coupled heat equations. (English) Zbl 1532.65055
Adaptive step size controllers based on Runge-Kutta and linear-neighbor methods for solving the non-stationary heat conduction equation. (English) Zbl 1535.65103
A high-order linearly implicit energy-preserving partitioned Runge-Kutta scheme for a class of nonlinear dispersive equations. (English) Zbl 1531.65094
MSC:
65L06
A shock sensor based on image segmentation with application to a hybrid central/WENO scheme. (English) Zbl 1531.65101
Fractional order learning methods for nonlinear system identification based on fuzzy neural network. (English) Zbl 1538.65635
Mass-, and energy preserving schemes with arbitrarily high order for the Klein-Gordon-Schrödinger equations. (English) Zbl 1542.65127
On the solution accuracy downstream of shocks when using Godunov-type schemes. I: Sources of errors in one-dimensional problems. (English) Zbl 1538.65306
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).
Approximate solutions to the Allen-Cahn equation using rational radial basis functions method. (English) Zbl 1531.65141
On the stability of explicit finite difference methods for advection-diffusion equations. (English) Zbl 1540.65346
Reviewer: Yanlai Chen (North Dartmouth)
Arbitrarily high-order accurate and energy-stable schemes for solving the conservative Allen-Cahn equation. (English) Zbl 1533.65194
High-order spectral difference gas-kinetic schemes for Euler and Navier-Stokes equations. (English) Zbl 1533.65132
Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method. (English) Zbl 1531.65202
Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 1535.65177
Arbitrary high-order structure-preserving methods for the quantum Zakharov system. (English) Zbl 07773314
Are adaptive Galerkin schemes dissipative? (English) Zbl 1528.65079
Reviewer: Bülent Karasözen (Ankara)
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