Found 156 Documents (Results 1–100)
Unconditional MBP preservation and energy stability of the stabilized exponential time differencing schemes for the vector-valued Allen-Cahn equations. (English) Zbl 07912565
A numerical technique for solving singularly perturbed two-point boundary value problems. (English) Zbl 07910913
MSC:
65L11
Unconstrained ETD methods on the diffuse-interface model with the Peng-Robinson equation of state. (English) Zbl 07893889
A robust numerical scheme for solving Riesz-tempered fractional reaction-diffusion equations. (English) Zbl 07890846
Maximum bound principle and non-negativity preserving ETD schemes for a phase field model of prostate cancer growth with treatment. (English) Zbl 1539.74277
A second-order exponential time differencing multi-step energy stable scheme for Swift-Hohenberg equation with quadratic-cubic nonlinear term. (English) Zbl 07827777
Energy-decreasing second order exponential time differencing Runge-Kutta methods for nonlocal Cahn-Hilliard equation. (English) Zbl 1534.65215
A linearly implicit energy-preserving exponential time differencing scheme for the fractional nonlinear Schrödinger equation. (English) Zbl 1535.65233
An ETD method for multi-asset American option pricing under jump-diffusion model. (English) Zbl 1531.91273
Energy stability of exponential time differencing schemes for the nonlocal Cahn-Hilliard equation. (English) Zbl 1535.65244
Local radial basis function collocation method preserving maximum and monotonicity principles for nonlinear differential equations. (English) Zbl 1535.65243
Fourier spectral methods with exponential time differencing for space-fractional partial differential equations in population dynamics. (English) Zbl 1535.65222
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
An energy stable and maximum bound principle preserving scheme for the dynamic Ginzburg-Landau equations under the temporal gauge. (English) Zbl 07770182
A family of structure-preserving exponential time differencing Runge-Kutta schemes for the viscous Cahn-Hilliard equation. (English) Zbl 07742900
Second-order semi-Lagrangian exponential time differencing method with enhanced error estimate for the convective Allen-Cahn equation. (English) Zbl 1529.65014
Stability and convergence analysis of the exponential time differencing scheme for a Cahn-Hilliard binary fluid-surfactant model. (English) Zbl 07710420
Optimal error estimates of the semi-discrete local discontinuous Galerkin method and exponential time differencing schemes for the thin film epitaxy problem without slope selection. (English) Zbl 1524.65627
Stabilized enhancement for large time computation using exponential spectral process method. (English) Zbl 07679172
Efficient high-order exponential time differencing methods for nonlinear fractional differential models. (English) Zbl 1506.65094
Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation. (English) Zbl 07620375
Spatiotemporal chaos in diffusive systems with the Riesz fractional order operator. (English) Zbl 07851779
Unconditionally stable exponential time differencing schemes for the mass-conserving Allen-Cahn equation with nonlocal and local effects. (English) Zbl 1533.65122
Traveling waves and transverse instability for the fractional Kadomtsev-Petviashvili equation. (English) Zbl 1529.35119
Stabilized exponential time differencing schemes for the convective Allen-Cahn equation. (English) Zbl 07713240
Modelling and numerical synchronization of chaotic system with fractional-order operator. (English) Zbl 07678012
Error estimate of exponential time differencing Runge-Kutta scheme for the epitaxial growth model without slope selection. (English) Zbl 07589950
Explicit high-order conservative exponential time differencing Runge-Kutta schemes for the two-dimensional nonlinear Schrödinger equation. (English) Zbl 1524.65945
An exponential time differencing time-stepping scheme for the tracer equations in MPAS-Ocean. (English) Zbl 07524466
Energy-decreasing exponential time differencing Runge-Kutta methods for phase-field models. (English) Zbl 07518050
An accurate and efficient numerical method for neural field models with transmission delays. (English) Zbl 1521.65109
Exponential time differencing schemes for the Peng-Robinson equation of state with preservation of maximum bound principle. (English) Zbl 1499.65464
On the numerical solution of the iterative parabolic equations by ETDRK pseudospectral methods in linear and nonlinear media. (English) Zbl 07474632
Two-phase segmentation for intensity inhomogeneous images by the Allen-Cahn local binary fitting model. (English) Zbl 07471649
Exponential integrator preserving mass boundedness and energy conservation for nonlinear Schrödinger equation. (English) Zbl 1483.35228
High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs. (English) Zbl 1484.65249
Construction of a minimum energy path for the VT flash model by the string method coupled with the exponential time differencing scheme. (English) Zbl 1487.65125
The solution of the general Kuramoto-Sivashinsky equation using the compact method in conjunction with the ETD (1,3)-Padé scheme. (English) Zbl 1490.76161
A high-order implicit-explicit Runge-Kutta type scheme for the numerical solution of the Kuramoto-Sivashinsky equation. (English) Zbl 1511.65063
A front-fixing ETD numerical method for solving jump-diffusion American option pricing problems. (English) Zbl 1540.91086
Parallel exponential time differencing methods for geophysical flow simulations. (English) Zbl 1507.76236
Explicit high-order energy-preserving exponential time differencing method for nonlinear Hamiltonian PDEs. (English) Zbl 1510.65212
Fractional model for the spread of COVID-19 subject to government intervention and public perception. (English) Zbl 1481.92138
Localized exponential time differencing method for shallow water equations: algorithms and numerical study. (English) Zbl 1473.65141
Unconditionally maximum bound principle preserving linear schemes for the conservative Allen-Cahn equation with nonlocal constraint. (English) Zbl 1476.65178
Linearly stabilized schemes for the time integration of stiff nonlinear PDEs. (English) Zbl 1484.65177
Reviewer: Michael Plum (Karlsruhe)
Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes. (English) Zbl 1465.35081
An efficient energy-preserving method for the two-dimensional fractional Schrödinger equation. (English) Zbl 1475.65068
Generalized exponential time differencing schemes for stiff fractional systems with nonsmooth source term. (English) Zbl 1469.65115
A dimensional splitting exponential time differencing scheme for multidimensional fractional Allen-Cahn equations. (English) Zbl 1466.65099
Reviewer: Abdallah Bradji (Annaba)
Overlapping domain decomposition based exponential time differencing methods for semilinear parabolic equations. (English) Zbl 1460.65115
Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions. (English) Zbl 1524.65307
Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain. (English) Zbl 1453.65365
Numerical solutions of random mean square Fisher-KPP models with advection. (English) Zbl 1452.35267
Compact local integrated radial basis functions (integrated RBF) method for solving system of non-linear advection-diffusion-reaction equations to prevent the groundwater contamination. (English) Zbl 1464.65139
Breather and solitons waves in optical fibers via exponential time differencing method. (English) Zbl 1452.65146
A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting. (English) Zbl 1440.65081
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy. (English) Zbl 1447.65097
Exponential time differencing for the tracer equations appearing in primitive equation ocean models. (English) Zbl 1442.86001
A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection. (English) Zbl 1437.65149
Efficient high-order compact exponential time differencing method for space-fractional reaction-diffusion systems with nonhomogeneous boundary conditions. (English) Zbl 1437.65089
Nonoverlapping localized exponential time differencing methods for diffusion problems. (English) Zbl 1431.65063
High-order time stepping scheme for pricing American option under bates model. (English) Zbl 1499.65450
Convergence analysis of exponential time differencing schemes for the Cahn-Hilliard equation. (English) Zbl 1483.65141
A fast compact exponential time differencing Runge-Kutta method for time-dependent advection-diffusion-reaction equations. (English) Zbl 1468.65115
Application and numerical simulation of fractional reaction diffusion model in Turing pattern. (Chinese. English summary) Zbl 1449.35273
Exponential time differencing methods for the time-space-fractional Schrödinger equation. (Chinese. English summary) Zbl 1449.65189
A third order exponential time differencing numerical scheme for no-slope-selection epitaxial thin film model with energy stability. (English) Zbl 1427.65148
An exponential time differencing method of lines for Burgers-Fisher and coupled Burgers equations. (English) Zbl 1524.65320
Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation. (English) Zbl 1419.65018
Reviewer: Victor Michel-Dansac (Toulouse)
Overlapping localized exponential time differencing methods for diffusion problems. (English) Zbl 1410.65361
Multiscale particle-in-cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field. (English) Zbl 07693040
A second-order efficient \(L\)-stable numerical method for space fractional reaction-diffusion equations. (English) Zbl 1499.35696
Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations. (English) Zbl 1499.65395
Fourth-order methods for space fractional reaction-diffusion equations with non-smooth data. (English) Zbl 1499.35637
Conditional full stability of positivity-preserving finite difference scheme for diffusion-advection-reaction models. (English) Zbl 1427.65154
Efficient Krylov-based exponential time differencing method in application to 3D advection-diffusion-reaction systems. (English) Zbl 1427.65144
An efficient Fourier spectral exponential time differencing method for the space-fractional nonlinear Schrödinger equations. (English) Zbl 1419.65083
Exponential integrator methods for systems of non-linear space-fractional models with super-diffusion processes in pattern formation. (English) Zbl 1419.65022
An exponential time differencing method of lines for the Burgers and the modified Burgers equations. (English) Zbl 1407.65170
Dynamical study of two predators and one prey system with fractional Fourier transform method. (English) Zbl 1417.92146
Numerical solution of systems of partial integral differential equations with application to pricing options. (English) Zbl 1407.91279
Exponential time differencing schemes for the 3-coupled nonlinear fractional Schrödinger equation. (English) Zbl 1448.65186
Convergence of a method based on the exponential integrator and Fourier spectral discretization for stiff stochastic PDEs. (English) Zbl 1469.65155
A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation. (English) Zbl 1407.65234
Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection. (English) Zbl 1448.65182
Time discretization and stability regions for dissipative-dispersive Kuramoto-Sivashinsky equation arising in turbulent gas flow over laminar liquid. (English) Zbl 1432.76047
Exponential time differencing gauge method for incompressible viscous flows. (English) Zbl 1488.65249
Discrete singular convolution for the generalized variable-coefficient Korteweg-de Vries equation. (English) Zbl 1450.65082
Barycentric Jacobi spectral method for numerical solutions of the generalized Burgers-Huxley equation. (English) Zbl 1401.65119
Numerical approximation of nonlinear fractional parabolic differential equations with Caputo-Fabrizio derivative in Riemann-Liouville sense. (English) Zbl 1422.65178
A conservative exponential time differencing method for the nonlinear cubic Schrödinger equation. (English) Zbl 1364.65159
A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations. (English) Zbl 1365.65195
Efficiency of exponential time differencing schemes for nonlinear Schrödinger equations. (English) Zbl 1520.65070
Variational multiscale element free Galerkin (VMEFG) and local discontinuous Galerkin (LDG) methods for solving two-dimensional Brusselator reaction-diffusion system with and without cross-diffusion. (English) Zbl 1425.65108
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