Found 3,825 Documents (Results 1–100)
An accurate numerical technique for solving fractional advection-diffusion equation with generalized Caputo derivative. (English) Zbl 07920850
Travelling wave solution of fourth order reaction diffusion equation using hybrid quintic Hermite splines collocation technique. (English) Zbl 07919191
Numerical inverse scattering transform for the derivative nonlinear Schrödinger equation. (English) Zbl 07916679
An efficient and accurate penalty-projection eddy viscosity algorithm for stochastic magnetohydrodynamic flow problems. (English) Zbl 07915951
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. (English) Zbl 07915944
Highly accurate collocation methodology for solving the generalized Burgers-Fisher’s equation. (English) Zbl 07908209
Second order discrete boundary value problem with the \((p_1(k); p_2(k))\)-Laplacian. (English) Zbl 07905400
A fast explicit time-splitting spectral scheme for the viscous Cahn-Hilliard equation with nonlocal diffusion operator. (English) Zbl 07903695
Superconvergence analysis of a robust orthogonal Gauss collocation method for 2D fourth-order subdiffusion equations. (English) Zbl 07902988
Energetic spectral-element time marching methods for phase-field nonlinear gradient systems. (English) Zbl 07901895
Innovative coupling of \(\mathrm{s}\)-stage one-step and spectral methods for non-smooth solutions of nonlinear problems. (English) Zbl 07901889
Tempered nonlocal integrodifferential equations with nonsmooth solution data. (English) Zbl 07901103
Self-similar blow-up solutions in the generalised Korteweg-de Vries equation: spectral analysis, normal form and asymptotics. (English) Zbl 07900889
Thermochemical convection in a slowly rotating spherical shell: a transition between prograde and retrograde flows. (English) Zbl 07896946
Solving a spectral problem for large-area photonic crystal surface-emitting lasers. (English) Zbl 1542.78003
Spectral method for one dimensional Benjamin-Bona-Mahony-Burgers equation using the transformed generalized Jacobi polynomial. (English) Zbl 07895294
Arithmetic version of Anderson localization for a class of \(C^2\) quasiperiodic Schrödinger operators. (English) Zbl 1543.47078
Time dependent magnetic field effects on the MHD flow and heat transfer in a rectangular duct. (English) Zbl 07885394
A higher order unconditionally stable numerical technique for multi-term time-fractional diffusion and advection-diffusion equations. (English) Zbl 07884752
Numerical solutions of Schrödinger-Boussinesq system by orthogonal spline collocation method. (English) Zbl 1541.65122
Efficient dimension-by-dimension adaptive TENO-based limiter and troubled-cell indicator for nodal-based high-order spectral difference method. (English) Zbl 07880843
Magnetic Dirac systems: violation of bulk-edge correspondence in the zigzag limit. (English) Zbl 1543.35181
Double fast algorithm for solving time-space fractional diffusion problems with spectral fractional Laplacian. (English) Zbl 07879826
Weyl asymptotics for functional difference operators with power to quadratic exponential potential. (English) Zbl 07875285
Invariant measures for place-dependent idempotent iterated function systems. (English) Zbl 1543.37010
Ground state solitons for periodic Schrödinger lattice systems with saturable nonlinearities and spectrum 0. (English) Zbl 1542.35337
Scattering properties of the nonlinear eigenvalue-dependent Sturm-Liouville equations with sign-alternating weight and jump condition. (English) Zbl 07871686
Prescribing transport equation solution’s decay via multiplicity manifold and autoregressive boundary control. (English) Zbl 1541.93162
A bivariate spectral linear partition method for solving nonlinear evolution equations. (English) Zbl 07869394
Asymptotic behavior and numerical analysis for a Timoshenko beam with viscoelasticity and thermodiffusion effects. (English) Zbl 1542.35065
Jacobi spectral method for the fractional reaction-diffusion equation arising in ecology. (English) Zbl 07861283
A general unsteady Fourier solution for orthotropic heat transfer in 2D functionally graded cylinders. (English) Zbl 07861232
Study on the steady-oscillatory transition of three-dimensional (3D) natural convection via Hopf bifurcation. (English) Zbl 07858330
On the abominable properties of the almost Mathieu operator with well-approximated frequencies. (English) Zbl 07858198
A numerical comparison of Galerkin and collocation isogeometric approximations of acoustic wave problems. (English) Zbl 1542.65120
Inelastic interactions between a small, intense dipole and a large, weak, neutral monopole. (English) Zbl 1541.76020
An extended Merola-Ragnisco-Tu lattice integrable hierarchy and infinite conservation laws. (English) Zbl 07850525
Corrigendum to: “A physics-based model for wind turbine wake expansion in the atmospheric boundary layer”. (English) Zbl 1537.76047
On the monotonicity of \(Q^2\) spectral element method for Laplacian on quasi-uniform rectangular meshes. (English) Zbl 1536.65139
Weight calculation and convergence analysis of polyharmonic spline (PHS) with polynomials for different stencils. (English) Zbl 1542.65179
Structural balance and random walks on complex networks with complex weights. (English) Zbl 1539.05149
A second-order \(\mathrm{SO}(3)\)-preserving and energy-stable scheme for orthonormal frame gradient flow model of biaxial nematic liquid crystals. (English) Zbl 1541.65129
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Micro-macro stochastic Galerkin methods for nonlinear Fokker-Planck equations with random inputs. (English) Zbl 1536.65007
Integrability and solutions of a nonsymmetric discrete Korteweg-de Vries equation. (English) Zbl 1537.37095
Artificial viscosity-based shock capturing scheme for the spectral difference method on simplicial elements. (English) Zbl 07842852
Estimate exponential memory decay in hidden Markov model and its applications to inference. (English) Zbl 1543.37084
Spectral Galerkin method for Cahn-Hilliard equations with time periodic solution. (English) Zbl 1541.65119
Differential-spectral approximation based on reduced-dimension scheme for fourth-order parabolic equation. (English) Zbl 1541.65124
Energy stability and convergence of variable-step L1 scheme for the time fractional Swift-Hohenberg model. (English) Zbl 1537.65111
Compact finite difference schemes with high resolution characteristics and their applications to solve Burgers equation. (English) Zbl 07841116
A highly efficient numerical method for the time-fractional diffusion equation on unbounded domains. (English) Zbl 1541.65131
Higher special functions. A theory of the central two-point connection problem based on a singularity approach. (English) Zbl 07839202
Encyclopedia of Mathematics and its Applications 188. Cambridge: Cambridge University Press (ISBN 978-1-00-912319-8/hbk; 978-1-00-912841-4/ebook). xiv, 300 p. (2024).
Reviewer: Dmitry Artamonov (Moskva)
Pseudo-spectral solver versus grid-based solver: a quantitative accuracy test using GMHD3D and Pluto4.4. (English) Zbl 07833791
MSC:
76-XX
A class of unconditionally energy stable relaxation schemes for gradient flows. (English) Zbl 1540.65347
Arbitrarily high-order explicit energy-conserving methods for the generalized nonlinear fractional Schrödinger wave equations. (English) Zbl 1535.65134
Conditioning and spectral properties of isogeometric collocation matrices for acoustic wave problems. (English) Zbl 1536.65122
Comparison of several numerical solvers for a discretized nonlinear diffusion model with source terms. (English) Zbl 1536.65085
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
MSC:
65M06
65N35
65N06
65N30
65D32
65H10
65T50
65F50
65M12
35R09
45K05
41A50
35K55
35A01
35A02
35Q60
A robust, discrete-gradient descent procedure for optimisation with time-dependent PDE and norm constraints. (English) Zbl 1536.65119
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
The fast method and convergence analysis of the fractional magnetohydrodynamic coupled flow and heat transfer model for the generalized second-grade fluid. (English) Zbl 1539.76263
Fully decoupled, linear, and energy-preserving GSAV difference schemes for the nonlocal coupled sine-Gordon equations in multiple dimensions. (English) Zbl 1535.65223
Non-smooth solutions of time-fractional Allen-Cahn problems via novel operational matrix based semi-spectral method with convergence analysis. (English) Zbl 07824625
On the links between Miura transformations of Bogoyavlensky lattices and inverse spectral problems for band operators. (English) Zbl 07824085
On new approximations of Caputo-Prabhakar fractional derivative and their application to reaction-diffusion problems with variable coefficients. (English) Zbl 1536.65089
An improved local radial basis function method for solving small-strain elasto-plasticity. (English) Zbl 1536.74029
Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 1534.65213
Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations. (English) Zbl 1534.65198
Numerical simulation of the time fractional Gray-Scott model on 2D space domains using radial basis functions. (English) Zbl 1534.65209
An oscillation-free spectral volume method for hyperbolic conservation laws. (English) Zbl 1535.65161
Reviewer: Abdallah Bradji (Annaba)
Efficient fully discrete spectral-Galerkin scheme for the volume-conserved multi-vesicular phase-field model of lipid vesicles with adhesion potential. (English) Zbl 1533.65190
Geometric and spectral analysis on weighted digraphs. (English) Zbl 1535.05125
Reviewer: Sharma Aarti (Indore)
An efficient numerical method for the anisotropic phase field dendritic crystal growth model. (English) Zbl 1534.74082
Energy-decreasing second order exponential time differencing Runge-Kutta methods for nonlocal Cahn-Hilliard equation. (English) Zbl 1534.65215
Asymptotically compatible energy of two variable-step fractional BDF2 schemes for the time fractional Allen-Cahn model. (English) Zbl 1534.65214
A rapid numerical method for the Mullins-Sekerka flow with application to contact angle problems. (English) Zbl 1533.65192
An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes. (English) Zbl 1533.65191
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation. (English) Zbl 1533.65250
Simulating the propagation of boundary-layer disturbances by solving boundary-value and initial-value problems. (English) Zbl 1536.76043
Dynamics of the black soliton in a regularized nonlinear Schrödinger equation. (English) Zbl 1533.35319
Adaptive residual Refinement in an RBF Finite difference scheme for 2D time-dependent problems. (English) Zbl 07803447
Normalized fractional gradient flow for nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1532.65045
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A conservative low rank tensor method for the Vlasov dynamics. (English) Zbl 1533.65195
Reviewer: Steven B. Damelin (Ann Arbor)
A unified design of energy stable schemes with variable steps for fractional gradient flows and nonlinear integro-differential equations. (English) Zbl 1532.35462
Encapsulated generalized summation-by-parts formulations for curvilinear and non-conforming meshes. (English) Zbl 07797669
Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model. (English) Zbl 1531.65203
Vortices over bathymetry. (English) Zbl 1543.76123
The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme. (English) Zbl 1531.35130
Direct and inverse results for popular differences in trees of positive dimension. (English) Zbl 1535.37006
Reviewer: Thomas B. Ward (Durham)
Analysis of spectral properties of WENO schemes in smooth regions. (English) Zbl 1531.65130
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
The spectral decomposition of the continuous and discrete linear elasticity operators with sliding boundary conditions. (English) Zbl 1537.65032
Reviewer: Michael Jung (Dresden)
Double stabilizations and convergence analysis of a second-order linear numerical scheme for the nonlocal Cahn-Hilliard equation. (English) Zbl 1531.35262
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