Found 62 Documents (Results 1–62)
Predicting the emergence of localised dihedral patterns in models for dryland vegetation. (English) Zbl 07875090
Unconditional energy-stable method for the Swift-Hohenberg equation over arbitrarily curved surfaces with second-order accuracy. (English) Zbl 07856301
Transitions between dissipative localized structures in the simplified Gilad-Meron model for dryland plant ecology. (English) Zbl 07881917
On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin’ approximations. (English) Zbl 1525.35097
A new Lagrange multiplier method for the mass-conserved Allen-Cahn type square phase-field crystal model. (English) Zbl 1514.65109
Efficient unconditionally stable numerical schemes for a modified phase field crystal model with a strong nonlinear vacancy potential. (English) Zbl 07775895
Snakes on Lieb lattice. (English) Zbl 1503.37084
Fully discrete spectral-Galerkin linear and unconditionally energy stable algorithm for the square phase-field crystal system. (English) Zbl 1524.65378
Dynamics of waves and patterns. Abstracts from the workshop held August 8–14, 2021 (hybrid meeting). (English) Zbl 1506.00043
Bistability, wave pinning and localisation in natural reaction-diffusion systems. (English) Zbl 1486.92312
Dissecting the snake: transition from localized patterns to spike solutions. (English) Zbl 1492.35032
A linearly second-order, unconditionally energy stable scheme and its error estimates for the modified phase field crystal equation. (English) Zbl 1524.65384
Hexagon invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. (English) Zbl 1470.35051
Efficient, non-iterative, and decoupled numerical scheme for a new modified binary phase-field surfactant system. (English) Zbl 1459.65162
Evolution of local motifs and topological proximity in self-assembled quasi-crystalline phases. (English) Zbl 1472.82045
Invasion fronts outside the homoclinic snaking region in the planar Swift-Hohenberg equation. (English) Zbl 1430.35028
Rational spline-nonstandard finite difference scheme for the solution of time-fractional Swift-Hohenberg equation. (English) Zbl 1429.65205
Localized radial roll patterns in higher space dimensions. (English) Zbl 1432.37111
Reviewer: Mohammad Sajid (Buraidah)
Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. (English) Zbl 1433.65250
Numerical simulation of Swift-Hohenberg equation by the fourth-order compact scheme. (English) Zbl 1438.65192
A direct meshless local collocation method for solving stochastic Cahn-Hilliard-Cook and stochastic Swift-Hohenberg equations. (English) Zbl 1404.65207
Existence and stability of spatially localized patterns. (English) Zbl 1405.35076
Reviewer: Vyacheslav I. Maksimov (Ekaterinburg)
MSC:
35K41
Spatially localized structures in the Gray-Scott model. (English) Zbl 1425.35099
Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20170375, 20 p. (2018).
A second-order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection. (English) Zbl 1407.76095
Fully localized post-buckling states of cylindrical shells under axial compression. (English) Zbl 1402.74072
The meshless local collocation method for solving multi-dimensional Cahn-Hilliard, Swift-Hohenberg and phase field crystal equations. (English) Zbl 1403.74285
Spatially localized self-assembly driven by electrically charged phase separation. (English) Zbl 1381.37104
Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms. (English) Zbl 1375.35149
Two-dimensional localized structures in harmonically forced oscillatory systems. (English) Zbl 1376.35095
From localized spots to the formation of invaginated labyrinthine structures in a Swift-Hohenberg model. (English) Zbl 1455.74040
Efficient gluing of numerical continuation and a multiple solution method for elliptic PDEs. (English) Zbl 1410.65480
Pattern formation for the Swift-Hohenberg equation on the hyperbolic plane. (English) Zbl 1342.35039
Reviewer: Vicenţiu D. Rădulescu (Craiova)
Bifurcations to travelling planar spots in a three-component FitzHugh-Nagumo system. (English) Zbl 1341.37029
Numerical results for snaking of patterns over patterns in some 2D Selkov-Schnakenberg reaction-diffusion systems. (English) Zbl 1297.65162
Optimality of the triangular lattice for a particle system with Wasserstein interaction. (English) Zbl 1294.82006
Three-dimensional spatially localized binary-fluid convection in a porous medium. (English) Zbl 1291.76295
A new space-time discretization for the Swift-Hohenberg equation that strictly respects the Lyapunov functional. (English) Zbl 1352.76109
Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation. (English) Zbl 1193.35009
Snaking of radial solutions of the multi-dimensional Swift-Hohenberg equation: a numerical study. (English) Zbl 1195.35042
Exploiting the Hamiltonian structure of a neural field model. (English) Zbl 1203.37034
Reviewer: Maite Grau (Lleida)
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