Found 162 Documents (Results 1–100)
Computational decomposition and composition technique for approximate solution of nonstationary problems. (English) Zbl 07890941
Splitting schemes with additive representation of the operator at the time derivative. (English. Russian original) Zbl 07855100
Mosc. Univ. Comput. Math. Cybern. 48, No. 1, 1-6 (2024); translation from Vestn. Mosk. Univ., Ser. XV 2024, No. 1, 3-8 (2024).
Convergence analysis of operator splitting methods for Maxwell’s equations in dispersive media of Debye type. (English) Zbl 1541.78006
Numerical solution of Allen-Cahn model on surfaces via an effective method based on generalized moving least squares (GMLS) approximation and the closest point approach. (English) Zbl 1539.65148
Unconditionally stable Monte Carlo simulation for solving the multi-dimensional Allen-Cahn equation. (English) Zbl 1532.65052
Time-explicit hybrid high-order method for the nonlinear acoustic wave equation. (English) Zbl 1532.65084
Reviewer: Petr Sváček (Praha)
An acoustic-transport splitting method for the barotropic Baer-Nunziato two-phase flow model. (English. French summary) Zbl 1528.76056
Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems. (English) Zbl 1528.37071
Exponent splitting schemes for evolution equations with fractional powers of operators. (English) Zbl 07709145
Efficient numerical simulation of Cahn-Hilliard type models by a dimension splitting method. (English) Zbl 1538.65312
A parallel type decomposition scheme for quasi-linear abstract hyperbolic equation. (English) Zbl 1505.65256
Operator splitting scheme based on barycentric Lagrange interpolation collocation method for the Allen-Cahn equation. (English) Zbl 1496.65176
Viscous splitting finite difference schemes to convection-diffusion equations with discontinuous coefficient. (English) Zbl 1495.65142
Splitting schemes for one class of operator differential equations. (English. Russian original) Zbl 1496.65131
Comput. Math. Math. Phys. 62, No. 7, 1033-1040 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 7, 1059-1066 (2022).
A second-order accurate, operator splitting scheme for reaction-diffusion systems in an energetic variational formulation. (English) Zbl 07569639
Factorized schemes for first and second order evolution equations with fractional powers of operators. (English) Zbl 07516755
Convergence analysis of the variational operator splitting scheme for a reaction-diffusion system with detailed balance. (English) Zbl 07516278
Numerical solution of non-stationary problems with a rational approximation for fractional powers of the operator. (English) Zbl 07511623
Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 81-88 (2022).
Splitting schemes for non-stationary problems with a rational approximation for fractional powers of the operator. (English) Zbl 1475.65082
Unconditionally maximum principle preserving finite element schemes for the surface Allen-Cahn type equations. (English) Zbl 07771397
A novel time efficient structure-preserving splitting method for the solution of two-dimensional reaction-diffusion systems. (English) Zbl 1482.65133
An efficient and accurate operating splitting method for solving 3D heat conduction equations. (Chinese. English summary) Zbl 1474.65295
Implementation of a gyrokinetic collision operator with an implicit time integration scheme and its computational performance. (English) Zbl 1533.76051
Fast operator-splitting algorithms for variational imaging models: some recent developments. (English) Zbl 1446.94007
Kimmel, Ron (ed.) et al., Processing, analyzing and learning of images, shapes, and forms. Part 2. Amsterdam: Elsevier/North Holland. Handb. Numer. Anal. 20, 191-232 (2019).
A kinetic theory approach to model Pedestrian dynamics in bounded domains with obstacles. (English) Zbl 1434.35248
A class of two- and three-level implicit methods of order two in time and four in space based on half-step discretization for two-dimensional fourth order quasi-linear parabolic equations. (English) Zbl 1429.65193
Numerical simulation and error estimation of the time-dependent Allen-Cahn equation on surfaces with radial basis functions. (English) Zbl 1426.65149
Reviewer: Hendrik Ranocha (Braunschweig)
Numerical simulation of a compressible two-layer model: a first attempt with an implicit-explicit splitting scheme. (English) Zbl 1466.76002
An operator splitting method for image inpainting based on the Allen-Cahn equation. (English) Zbl 1449.65033
MSC:
65D18
Construction and analysis of weighted sequential splitting FDTD methods for the 3D Maxwell’s equations. (English) Zbl 1412.65067
A splitting approach for freezing waves. (English) Zbl 1406.65058
Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 539-550 (2018).
Construction and numerical resolution of high-order accuracy decomposition scheme for a quasi-linear evolution equation. (English) Zbl 1401.65093
Semi-implicit Runge-Kutta method for ordinary differential equations. (Chinese. English summary) Zbl 1413.65276
Simulation of reactive polydisperse sprays strongly coupled to unsteady flows in solid rocket motors: efficient strategy using Eulerian multi-fluid methods. (English) Zbl 1375.76102
The stabilized semi-implicit finite element method for the surface Allen-Cahn equation. (English) Zbl 1366.65091
Splitting schemes with respect to physical processes for double-porosity poroelasticity problems. (English) Zbl 1457.76100
Fourth order real space solver for the time-dependent Schrödinger equation with singular Coulomb potential. (English) Zbl 1380.65165
Splitting methods for some nonlinear wave problems. (English) Zbl 1372.65274
Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 643-676 (2016).
Introduction. (English) Zbl 1372.65204
Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 1-17 (2016).
Comparison of two numerical schemes for the nonlinear term in the Cahn-Hilliard equation. (Chinese. English summary) Zbl 1363.65133
Operator splitting for quasi-linear abstract hyperbolic equation. (English. Russian original) Zbl 1354.65185
J. Math. Sci., New York 218, No. 6, 737-741 (2016); translation from Sovrem. Mat. Prilozh. 97 (2015).
On splitting-based numerical methods for nonlinear models of European options. (English) Zbl 1386.91163
Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach. (English) Zbl 1423.76419
A modular, operator-splitting scheme for fluid-structure interaction problems with thick structures. (English) Zbl 1455.76034
Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations. (English) Zbl 1349.78105
On the numerical solution to a nonlinear wave equation associated with the first Painlevé equation: an operator-splitting approach. (English) Zbl 1318.65066
Ciarlet, Philippe G. (ed.) et al., Partial differential equations. Theory, control and approximation. In honor of the scientific heritage of Jacques-Louis Lions. Selected papers based on the presentations at the international conference on partial differential equations: theory, control and approximation, Shanghai, China, May 28 – June 1, 2012. Berlin: Springer (ISBN 978-3-642-41400-8/hbk; 978-3-642-41401-5/ebook). 243-264 (2014).
Chemical vapor deposition. Modeling, simulation and optimization. (English) Zbl 1311.92006
Berlin: Humboldt-Univ., Mathematisch-Naturwissenschaftliche Fakultät II (Diss. 2013). xviii, 163 p. (2014).
Explicit-implicit splitting schemes for some systems of evolutionary equations. (English) Zbl 1310.65092
Operator splitting methods for Maxwell’s equations in dispersive media with orientational polarization. (English) Zbl 1301.65091
Numerical simulation of nonlinear dispersive quantization. (English) Zbl 1358.35152
Reviewer: Mária Lukáčová (Mainz)
Embedded Zassenhaus expansion to splitting schemes: theory and multiphysics applications. (English) Zbl 1293.65124
Splitting schemes for pseudoparabolic equations. (English. Russian original) Zbl 1282.65104
Differ. Equ. 49, No. 7, 807-814 (2013); translation from Differ. Uravn. 49, No. 7, 837-843 (2013).
Fully implicit ADI schemes for solving the nonlinear Poisson-Boltzmann equation. (English) Zbl 1276.65063
Numerical modeling of degenerate equations in porous media flow. Degenerate multiphase flow equations in porous media. (English) Zbl 1266.76052
Operator-difference schemes for a class of systems of evolution equations. (English. Russian original) Zbl 1269.65080
Math. Notes 93, No. 1, 36-49 (2013); translation from Mat. Zametki 93, No. 1, 29-44 (2013).
Reviewer: Petr Sváček (Praha)
An operator-splitting Galerkin/SUPG finite element method for population balance equations: stability and convergence. (English) Zbl 1273.65143
Reviewer: Gisbert Stoyan (Budapest)
On stability of difference schemes. Central schemes for hyperbolic conservation laws with source terms. (English) Zbl 1243.65108
Stabilized finite element methods applied to transient convection-diffusion-reaction and population balance equations. (English) Zbl 1238.76002
Madgeburg: Univ. Magdeburg, Fakultät für Mathematik (Diss.). iv, 128 p. (2011).
The use of quadratures for solving convective and highly stiff transport problems. (English) Zbl 1217.65175
MSC:
65M06
An alternative procedure for simulating one-dimensional transport phenomena with shock waves in a gas. (English) Zbl 1429.76029
A new algorithm for the simulation of reservoir model characterization. (Chinese. English summary) Zbl 1240.86006
Regularized additive operator-difference schemes. (Russian, English) Zbl 1224.65213
Zh. Vychisl. Mat. Mat. Fiz. 50, No. 3, 449-457 (2010); translation in Comput. Math., Math. Phys. 50, No. 3, 428-436 (2010).
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. (English) Zbl 1204.65101
Reviewer: Gisbert Stoyan (Budapest)
Operator splitting methods for the Navier-Stokes equations with nonlinear slip boundary conditions. (English) Zbl 1407.76069
On the aerodynamic design of axial flow turbines by an implicit upwind axisymmetric method. (English) Zbl 1277.76035
A conservative high order semi-Lagrangian WENO method for the Vlasov equation. (English) Zbl 1188.82069
Reviewer: Iván Abonyi (Budapest)
On splitting-based numerical methods for convection-diffusion equations. (English) Zbl 1266.65143
Puppo, Gabriella (ed.) et al., Numerical methods for balance laws. Caserta: Dipartimento di Matematica, Seconda Università di Napoli (ISBN 978-88-548-3360-9/hbk). Quaderni di Matematica 24, 303-343 (2009).
The new alternating direction implicit difference methods for the wave equations. (English) Zbl 1166.65044
Fast explicit operator splitting method for convection-diffusion equations. (English) Zbl 1157.65436
MSC:
65M06
On error estimation of symmetric decomposition scheme for multidimensional evolution problem. (English) Zbl 1206.65218
A particle method for a Lotka-Volterra system with nonlinear cross and self-diffusion. (English) Zbl 1185.65195
Manganaro, Natale (ed.) et al., Proceedings WASCOM 2007. 14th Conference on waves and stability in continuous media, Baia Samuele, Sicily, Italy, 30 June – 6 July 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-234-3/hbk). 337-342 (2008).
MSC:
65M75
The fourth order of accuracy decomposition scheme for abstract hyperbolic equation. (English) Zbl 1149.65081
Reviewer: Srinivasan Natesan (Assam)
A new high order two level implicit discretization for the solution of 3D nonlinear parabolic equations. (English) Zbl 1242.65167
An unconditionally stable numerical method for the Luo-Rudy 1 model used in simulations of defibrillation. (English) Zbl 1119.92039
Solving a non-smooth eigenvalue problem using operator-splitting methods. (English) Zbl 1130.65112
Reviewer: Roland Pulch (Wuppertal)
Numerical simulation of three-phase flow in heterogeneous porous media. (English) Zbl 1177.76274
Daydé, Michel (ed.) et al., High performance computing for computational science – VECPAR 2006. 7th international conference, Rio de Janeiro, Brazil, June 10–13, 2006. Revised selected and invited papers. Berlin: Springer (ISBN 978-3-540-71350-0/pbk). Lecture Notes in Computer Science 4395, 504-517 (2006).
MSC:
76M25
76S05
A multi-dimensional upwind scheme for solving Euler and Navier-Stokes equations. (English) Zbl 1102.76039
Chemotactic and diffusive migration on a nonuniformly growing domain: numerical algorithm development and applications. (English) Zbl 1091.65094
Hybrid symbolic-numeric integration in multiple dimensions via tensor-product series. (English) Zbl 1360.65082
Kauers, Manuel (ed.), Proceedings of the 2005 international symposium on symbolic and algebraic computation, ISSAC’05, Beijing, China, July 24–27, 2005. New York, NY: ACM Press (ISBN 1-59593-095-7). 84-91 (2005).
An adaptive hybrid time-stepping scheme for highly non-linear strongly coupled problems. (English) Zbl 1122.74525
Careful numerical simulation and analysis of migration-accumulation. (English) Zbl 1188.86002
Li, Tatsien (ed.) et al., Frontiers and prospects of contemporary applied mathematics. Selected papers based on the presentation at the symposium on frontiers and prospects of contemporary applied mathematics, Xiangtan, China, August 24–30, 2004. Beijing: Higher Education Press; Hackensack, NJ: World Scientific (ISBN 7-04-018575-X/hbk). Ser. Contemp. Appl. Math. CAM 6, 242-253 (2005).
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