Found 948 Documents (Results 1–100)
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
Spectral method for one dimensional Benjamin-Bona-Mahony-Burgers equation using the transformed generalized Jacobi polynomial. (English) Zbl 07895294
High order asymptotic preserving and well-balanced schemes for the shallow water equations with source terms. (English) Zbl 1542.65083
Implicit-explicit Runge-Kutta methods for pricing financial derivatives in state-dependent regime-switching jump-diffusion models. (English) Zbl 07893831
Nonsmooth data error estimates for fully discrete finite element approximations of semilinear parabolic equations in Banach space. (English) Zbl 1541.65113
An explicit 16-stage Runge-Kutta method of order 10 discovered by numerical search. (English) Zbl 07869114
MSC:
65-XX
Stability and time-step constraints of implicit-explicit Runge-Kutta methods for the linearized Korteweg-de Vries equation. (English) Zbl 07846936
A scalable well-balanced numerical scheme for the simulation of fast landslides with efficient time stepping. (English) Zbl 07834060
Efficient pricing of options in jump-diffusion models: novel implicit-explicit methods for numerical valuation. (English) Zbl 1540.91091
Arbitrarily high-order explicit energy-conserving methods for the generalized nonlinear fractional Schrödinger wave equations. (English) Zbl 1535.65134
Geometric integration on symmetric spaces. (English) Zbl 1534.65103
Reviewer: Steven B. Damelin (Ann Arbor)
Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations. (English) Zbl 1531.65142
A new high-order maximum-principle-preserving explicit Runge-Kutta method for the nonlocal Allen-Cahn equation. (English) Zbl 1522.65221
Higher-order accurate explicit time schemes with improved dissipation properties. (English) Zbl 1537.74335
Erratum to: “A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws”. (English) Zbl 1540.65463
Stable second-order explicit Runge-Kutta finite difference time domain formulations for modeling graphene nano-material structures. (English) Zbl 1535.78008
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, 149-158 (2023).
MSC:
78M20
Evolution of the shape of a gas cloud during pulsed laser evaporation into vacuum: direct simulation Monte Carlo and the solution of a model equation. (English. Russian original) Zbl 07800793
Comput. Math. Math. Phys. 63, No. 12, 2244-2256 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 12, 1960-1972 (2023).
Adaptive step size controllers based on Runge-Kutta and linear-neighbor methods for solving the non-stationary heat conduction equation. (English) Zbl 1535.65103
Additive polynomial time integrators. I: Framework and fully implicit-explicit collocation methods. (English) Zbl 1537.65081
Reviewer: Kevin Burrage (Brisbane)
Multiscale constitutive framework of one-dimensional blood flow modeling: asymptotic limits and numerical methods. (English) Zbl 1525.76118
A physical-constraint-preserving discontinuous Galerkin method for weakly compressible two-phase flows. (English) Zbl 1521.76383
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation. (English) Zbl 1529.65088
On models of meteoroid fragmentation in the atmosphere. (English. Russian original) Zbl 1528.76088
Fluid Dyn. 58, No. 2, 287-294 (2023); translation from Fiz.-himi. Kinetka Gaz. Din. 20, No. 2, 1-10 (2019).
High-order semi-implicit schemes for evolutionary partial differential equations with higher order derivatives. (English) Zbl 07708312
Explicit spectral element collocation method for nonlinear transient heat transfer. (English) Zbl 1538.65422
On the consistency and convergence of repeated Richardson extrapolation. (English) Zbl 1521.65062
Georgiev, Ivan (ed.) et al., Numerical methods and applications. 10th international conference, NMA 2022, Borovets, Bulgaria, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13858, 48-58 (2023).
Significance of skewness and kurtosis on the solute dispersion in pulsatile Carreau-Yasuda fluid flow in a tube with wall absorption. (English) Zbl 1533.76006
On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes. (English) Zbl 1512.65011
A fully adaptive explicit stabilized integrator for advection-diffusion-reaction problems. (English) Zbl 1507.65114
Fractional-step Runge-Kutta methods: representation and linear stability analysis. (English) Zbl 07652787
A family of second-order dissipative finite volume schemes for hyperbolic systems of conservation laws. (English) Zbl 1507.65221
SMAI J. Comput. Math. 9, 31-60 (2023); erratum ibid. 9, 311-318 (2023).
Reviewer: Abdallah Bradji (Annaba)
Temporal accuracy of FastRK3. (English) Zbl 07649274
Stability analysis of implicit-explicit \(\theta\)-methods for composite stiff neutral functional differential equations in Banach space. (English) Zbl 1506.65090
An unconditionally stable explicit finite element algorithm for coupled hydromechanical problems of soil mechanics in pseudo-static conditions. (English) Zbl 1531.74077
High order strong stability preserving multiderivative implicit and IMEX Runge-Kutta methods with asymptotic preserving properties. (English) Zbl 1522.65120
Heterogeneous CPU+GPU parallelization for high-accuracy scale-resolving simulations of compressible turbulent flows on hybrid supercomputers. (English) Zbl 1520.76054
Uncertainty quantification by multilevel Monte Carlo and local time-stepping for wave propagation. (English) Zbl 1506.65008
Lax-Wendroff schemes with polynomial extrapolation and simplified Lax-Wendroff schemes for dispersive waves: a comparative study. (English) Zbl 1506.76118
Asymptotic behaviour of rotating convection-driven dynamos in the plane layer geometry. (English) Zbl 1529.76101
Optimized Runge-Kutta methods with automatic step size control for compressible computational fluid dynamics. (English) Zbl 1513.65228
On maximum enstrophy dissipation in 2D Navier-Stokes flows in the limit of vanishing viscosity. (English) Zbl 1521.76093
Entropy-preserving and entropy-stable relaxation IMEX and multirate time-stepping methods. (English) Zbl 1497.65176
A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations. (English) Zbl 1513.65218
Third-order paired explicit Runge-Kutta schemes for stiff systems of equations. (English) Zbl 07578894
Stability analysis and error estimates of implicit-explicit Runge-Kutta local discontinuous Galerkin methods for nonlinear fractional convection-diffusion problems. (English) Zbl 1524.65499
Numerical approximation of compressible two-phase six-equation model using CE/SE and RKDG schemes. (English) Zbl 1515.76145
Dynamics of an inertially collapsing gas bubble between two parallel, rigid walls. (English) Zbl 1510.76187
A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes. (English) Zbl 1510.76144
Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation. (English) Zbl 1524.65945
Implicit-explicit bicompact schemes for hyperbolic systems of conservation laws. (Russian. English summary) Zbl 07557302
Explicit stabilized multirate method for stiff stochastic differential equations. (English) Zbl 1491.60115
Optimized explicit Runge-Kutta schemes for high-order collocated discontinuous Galerkin methods for compressible fluid dynamics. (English) Zbl 1524.65264
Difference schemes for second-order ordinary differential equations with corrector and predictor properties. (English) Zbl 1496.65091
Mixed-precision explicit stabilized Runge-Kutta methods for single- and multi-scale differential equations. (English) Zbl 07540376
Symmetric-adjoint and symplectic-adjoint Runge-Kutta methods and their applications. (English) Zbl 1499.65304
High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations. (English) Zbl 1515.76159
A unified formulation of splitting-based implicit time integration schemes. (English) Zbl 1537.65087
Explicit high-order structure-preserving algorithms for the two-dimensional fractional nonlinear Schrödinger equation. (English) Zbl 1499.35638
Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods. (English) Zbl 1540.65185
High-order bicompact schemes for the quasilinear multidimensional diffusion equation. (English) Zbl 1486.65095
Reviewer: Qifeng Zhang (Hangzhou)
High order modal discontinuous Galerkin implicit-explicit Runge Kutta and linear multistep schemes for the Boltzmann model on general polygonal meshes. (English) Zbl 1521.76319
Arbitrary Lagrangian-Eulerian local discontinuous Galerkin method for linear convection-diffusion equations. (English) Zbl 07435365
Development of composite sub-step explicit dissipative algorithms with truly self-starting property. (English) Zbl 1517.65062
MSC:
65L06
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. (English) Zbl 1527.76047
IMEX Runge-Kutta parareal for non-diffusive equations. (English) Zbl 1509.65064
Ong, Benjamin (ed.) et al., Parallel-in-time integration methods. 9th parallel-in-time workshop, virtual, June 8–12, 2020. Cham: Springer. Springer Proc. Math. Stat. 356, 95-127 (2021).
Implicit-explicit second derivative LMM for stiff ordinary differential equations. (English) Zbl 1497.65110
Implicit-explicit Runge-Kutta-Rosenbrock methods with error analysis for nonlinear stiff differential equations. (English) Zbl 1499.65267
An asymptotic-preserving dynamical low-rank method for the multi-scale multi-dimensional linear transport equation. (English) Zbl 07512318
High order semi-implicit multistep methods for time-dependent partial differential equations. (English) Zbl 1499.65300
A high-order implicit-explicit Runge-Kutta type scheme for the numerical solution of the Kuramoto-Sivashinsky equation. (English) Zbl 1511.65063
Modified multi-step Nyström methods for oscillatory general second-order initial value problems. (English) Zbl 1480.65169
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes. (English) Zbl 1507.65147
MSC:
65M08
Exponential time differencing for problems without natural stiffness separation. (English) Zbl 1473.65157
On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation. (English) Zbl 1489.65105
High-order accurate time integration and efficient implicit solvers. (English) Zbl 1473.76041
Kronbichler, Martin (ed.) et al., Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16–20, 2018. Cham: Springer. CISM Courses Lect. 602, 239-259 (2021).
Reviewer: Kanakadurga Sivakumar (Chennai)
High-performance implementation of discontinuous Galerkin methods with application in fluid flow. (English) Zbl 1478.76053
Kronbichler, Martin (ed.) et al., Efficient high-order discretizations for computational fluid dynamics. Selected papers based on the presentations at the summer school, Udine, Italy, July 16–20, 2018. Cham: Springer. CISM Courses Lect. 602, 57-115 (2021).
Stabilized leapfrog based local time-stepping method for the wave equation. (English) Zbl 1493.65151
Reviewer: Murli Gupta (Washington, D.C.)
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