Found 680 Documents (Results 1–100)
A performance study of horizontally explicit vertically implicit (HEVI) time-integrators for non-hydrostatic atmospheric models. (English) Zbl 07922772
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 07916679
Multirate time-integration based on dynamic ODE partitioning through adaptively refined meshes for compressible fluid dynamics. (English) Zbl 07898994
On approximate matrix factorization and TASE W-methods for the time integration of parabolic partial differential equations. (English) Zbl 07880217
Hybrid finite-amplitude periodic modes for two uniformly magnetized spheres. (English) Zbl 1541.70024
Discrete-velocity-direction models of BGK-type with minimum entropy. II: Weighted models. (English) Zbl 07846586
Reviewer: Dimitar A. Kolev (Sofia)
Using aromas to search for preserved measures and integrals in Kahan’s method. (English) Zbl 1542.37058
Reviewer: William J. Satzer Jr. (St. Paul)
Optimized Gauss-Legendre-Hermite 2-point (O-GLH-2P) method for nonlinear time-history analysis of structures. (English) Zbl 07830933
Meccanica 59, No. 3, 305-332 (2024); correction ibid. 59, No. 4, 681 (2024).
New options for explicit all Mach number schemes by suitable choice of time integration methods. (English) Zbl 07807990
Geometric integration on symmetric spaces. (English) Zbl 1534.65103
Reviewer: Steven B. Damelin (Ann Arbor)
The Lie derivative and Noether’s theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators. (English) Zbl 1542.37067
Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations. (English) Zbl 1531.65142
ARKODE: a flexible IVP solver infrastructure for one-step methods. (English) Zbl 07910034
MSC:
65-XX
Higher-order accurate explicit time schemes with improved dissipation properties. (English) Zbl 1537.74335
Interface flux recovery framework for constructing partitioned heterogeneous time-integration methods. (English) Zbl 1535.65177
Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid. (English) Zbl 07773891
Runge-Kutta-Möbius methods. (English) Zbl 07745858
Reviewer: Kai Diethelm (Schweinfurt)
Theoretical and computational analysis of the thermal quasi-geostrophic model. (English) Zbl 1529.35515
Unified analysis of any order spectral volume methods for diffusion equations. (English) Zbl 1529.65031
Numerical study of transient Wigner-Poisson model for RTDs: numerical method and its applications. (English) Zbl 1541.65121
Derivation of weighting rules for developing a class of A-stable numerical integration scheme: \(\alpha I\)-\((2 + 3)\mathrm{P}\) method. (English) Zbl 1515.65188
Drag and heat transfer of metal and oxide agglomerates in a flow of solid-propellant combustion products. (English. Russian original) Zbl 1528.76091
Fluid Dyn. 58, No. 2, 295-312 (2023); translation from Fiz.-himi. Kinetka Gaz. Din. 21, No. 1, 1-23 (2020).
How do Monte Carlo estimates affect stochastic geometric numerical integration? (English) Zbl 1524.65028
Explicit pseudo-symplectic Runge-Kutta methods for stochastic Hamiltonian systems. (English) Zbl 1524.65023
An oscillation-free bound-preserving discontinuous Galerkin method for multi-component chemically reacting flows. (English) Zbl 1519.65039
Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes. (English) Zbl 1516.65052
Acceleration of the data-parallel lower-upper relaxation time-integration method on GPU for an unstructured CFD solver. (English) Zbl 1521.76764
Bounds preserving temporal integration methods for hyperbolic conservation laws. (English) Zbl 1538.65240
HODG: high-order discontinuous Galerkin methods for solving compressible Euler and Navier-Stokes equations – an open-source component-based development framework. (English) Zbl 1510.76135
Numerical solution of nonlinear sine-Gordon equation using modified cubic B-spline-based differential quadrature method. (English) Zbl 1524.65706
Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. (English) Zbl 07660332
Selective energy and enstrophy modification of two-dimensional decaying turbulence. (English) Zbl 1525.76052
Reviewer: Kai Schneider (Marseille)
Adaptive physical-constraints-preserving unstaggered central schemes for shallow water equations on quadrilateral meshes. (English) Zbl 1523.76064
Efficiency of diagonally implicit Runge-Kutta time integration schemes in incompressible two-phase flow simulations. (English) Zbl 1512.76066
Numerical solution of the hyperbolic telegraph equation using cubic B-spline-based differential quadrature of high accuracy. (English) Zbl 1524.65472
Uncertainty quantification by multilevel Monte Carlo and local time-stepping for wave propagation. (English) Zbl 1506.65008
New low order Runge-Kutta schemes for asymptotically exact global error estimation of embedded methods without order reduction. (English) Zbl 1507.65123
High-order symplectic Lie group methods on \(SO(n)\) using the polar decomposition. (English) Zbl 1511.37101
Reviewer: Mohammad Sajid (Buraydah)
Error analysis of multirate leapfrog-type methods for second-order semilinear ODEs. (English) Zbl 1506.65096
Reviewer: Roland Pulch (Greifswald)
Invariant-domain-preserving high-order time stepping. I: Explicit Runge-Kutta schemes. (English) Zbl 1501.65070
Reviewer: Bülent Karasözen (Ankara)
Multirate exponential Rosenbrock methods. (English) Zbl 1507.65119
Reviewer: Saurabh Tomar (Kharagpur)
Differential quadrature method to examine the dynamical behavior of soliton solutions to the Korteweg-de Vries equation. (English) Zbl 1497.65149
Multirate linearly-implicit GARK schemes. (English) Zbl 1507.65122
Reviewer: Higinio Ramos (Zamora)
Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials. (English) Zbl 1502.65042
When and how to split? A comparison of two IMEX splitting techniques for solving advection-diffusion-reaction equations. (English) Zbl 1490.65133
Relative error long-time behavior in matrix exponential approximations for numerical integration: the stiff situation. (English) Zbl 1492.65119
Soliton solution of coupled Korteweg-de Vries equation by quintic UAH tension B-spline differential quadrature method. (English) Zbl 1504.35448
A fast time-stepping strategy for dynamical systems equipped with a surrogate model. (English) Zbl 1492.65196
Development of a balanced adaptive time-stepping strategy based on an implicit JFNK-DG compressible flow solver. (English) Zbl 1499.76086
High order linearly implicit methods for evolution equations. (English) Zbl 1503.65260
Reviewer: José Augusto Ferreira (Coimbra)
An efficient hybrid method for uncertainty quantification. (English) Zbl 1496.65171
Reviewer: Dana Černá (Liberec)
Fast solution of fully implicit Runge-Kutta and discontinuous Galerkin in time for numerical PDEs. II: Nonlinearities and DAEs. (English) Zbl 1490.65177
Convergence of Lobatto-type Runge-Kutta methods for partitioned differential-algebraic systems of index \(2\). (English) Zbl 1485.65127
Convergence in the maximum norm of ADI-type methods for parabolic problems. (English) Zbl 1522.65141
Further assessment of three Bathe algorithms and implementations for wave propagation problems. (English) Zbl 1535.65102
Development of composite sub-step explicit dissipative algorithms with truly self-starting property. (English) Zbl 1517.65062
MSC:
65L06
Towards pseudo-spectral incompressible smoothed particle hydrodynamics (ISPH). (English) Zbl 1516.76059
The multi-dimensional Hermite-discontinuous Galerkin method for the Vlasov-Maxwell equations. (English) Zbl 1527.76047
Implicit methods for numerical solution of singular initial value problems. (English) Zbl 1506.65052
From Runge-Kutta methods to Hopf algebras of rooted trees. (English) Zbl 1493.16031
Makhlouf, Abdenacer (ed.), Algebra and applications 2. Combinatorial algebra and Hopf algebras. London: ISTE; Hoboken, NJ: John Wiley & Sons. Sciences, 179-219 (2021).
Occurrence of vibrational resonance in an oscillator with an asymmetric Toda potential. (English) Zbl 1483.78004
Efficient steady flow computations with exponential multigrid methods. (English) Zbl 1486.65171
Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 10th international conference, NUMGRID 2020 / Delaunay 130, celebrating the 130th anniversary of Boris Delaunay, Moscow, Russia, November 25–27, 2020. Cham: Springer. Lect. Notes Comput. Sci. Eng. 143, 375-390 (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).
Relative error analysis of matrix exponential approximations for numerical integration. (English) Zbl 1473.65052
Stabilized leapfrog based local time-stepping method for the wave equation. (English) Zbl 1493.65151
Reviewer: Murli Gupta (Washington, D.C.)
Second-order SAV schemes for the nonlinear Schrödinger equation and their error analysis. (English) Zbl 1491.65111
A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model. (English) Zbl 1486.65125
Combining the band-limited parameterization and semi-Lagrangian Runge-Kutta integration for efficient PDE-constrained LDDMM. (English) Zbl 1485.65082
A parallelizable energy-preserving integrator MB4 and its application to quantum-mechanical wavepacket dynamics. (English) Zbl 1471.65079
A new class of \(A\) stable summation by parts time integration schemes with strong initial conditions. (English) Zbl 1471.65083
Partitioned exponential methods for coupled multiphysics systems. (English) Zbl 1462.65130
Reviewer: Bülent Karasözen (Ankara)
Relative error stability and instability of matrix exponential approximations for stiff numerical integration of long-time solutions. (English) Zbl 1470.65079
Alternating directions implicit integration in a general linear method framework. (English) Zbl 1458.65079
Nektar++: design and implementation of an implicit, spectral/\(hp\) element, compressible flow solver using a Jacobian-free Newton Krylov approach. (English) Zbl 1456.76087
Analysis of the numerical dissipation rate of different Runge-Kutta and velocity interpolation methods in an unstructured collocated finite volume method in \(\text{OpenFOAM}^\circledR\). (English) Zbl 1535.65100
The exclusive impact of Hall current over a variably thicked sheet in magnetized viscous fluid by the implementation of non-Fourier flux theory. (English) Zbl 07527091
MSC:
82-XX
An improved Störmer-Verlet method based on exact discretization for nonlinear oscillators. (English) Zbl 1474.65226
On leapfrog-Chebyshev schemes. (English) Zbl 1454.65046
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