Found 1,545 Documents (Results 1–100)
An efficient fractional step numerical algorithm for time-delayed singularly perturbed 2D convection-diffusion-reaction problem with two small parameters. (English) Zbl 07925689
ConvStabNet: a CNN-based approach for the prediction of local stabilization parameter for SUPG scheme. (English) Zbl 07924850
Higher-order uniform convergence and order reduction analysis of a novel fractional-step FMM for singularly perturbed 2D parabolic PDEs with time-dependent boundary data. (English) Zbl 07924001
A parameter-uniform hybrid scheme designed for multi-point boundary value problems that are perturbed. (English) Zbl 07914744
Efficient computational method for singularly perturbed Burger-Huxley equations. (English) Zbl 07914737
Efficient finite element method for 2D singularly perturbed parabolic convection diffusion problems with discontinuous source term. (English) Zbl 07910931
Richardson extrapolation technique on a modified graded mesh for singularly perturbed parabolic convection-diffusion problems. (English) Zbl 07908526
Uniformly convergent numerical solution for Caputo fractional order singularly perturbed delay differential equation using extended cubic B-spline collocation scheme. (English) Zbl 07908210
Nonpolynomial B-spline collocation method for solving singularly perturbed quasilinear Sobolev equation. (English) Zbl 07908205
Super-localized orthogonal decomposition for convection-dominated diffusion problems. (English) Zbl 07901580
Error analysis for a spectral element method for solving two-parameter singularly perturbed diffusion equation. (English) Zbl 1543.65122
Numerical treatment of singularly perturbed parabolic differential difference equations. (English) Zbl 1542.65096
An orthogonal spline collocation method for singularly perturbed parabolic reaction-diffusion problems with time delay. (English) Zbl 1542.65128
A rapidly converging domain decomposition algorithm for a time delayed parabolic problem with mixed type boundary conditions exhibiting boundary layers. (English) Zbl 1542.65106
Wavelet-based approximation for two-dimensional singularly perturbed elliptic problems. (English) Zbl 07890903
Uniform convergence analysis of a new adaptive upwind finite difference method for singularly perturbed convection-reaction-diffusion boundary value problems. (English) Zbl 1543.65120
Fitted tension spline scheme for a singularly perturbed parabolic problem with time delay. (English) Zbl 1541.65073
Supercloseness of linear finite element method on Vulanović-Bakhvalov mesh for singularly perturbed convection-diffusion equation in 1D. (English) Zbl 07879166
Nonlinear method of angular boundary functions for singularly perturbed parabolic problems with cubic nonlinearities. (Russian. English summary) Zbl 1543.35012
Numerical solution of singularly perturbed singular third order boundary value problems with nonclassical sinc method. (English) Zbl 1543.65103
Graded mesh modified backward finite difference method for two parameters singularly perturbed second-order boundary value problems. (English) Zbl 1543.65123
A numerical solution of singularly perturbed Fredholm integro-differential equation with discontinuous source term. (English) Zbl 1542.65077
Parameter-robust higher-order time-accurate computational method for singularly perturbed time-dependent semilinear convection-diffusion PDEs with discontinuous data. (English) Zbl 07872027
Implicit extended discontinuous Galerkin scheme for solving singularly perturbed Burgers’ equations. (English) Zbl 1540.65378
Numerical analysis of singularly perturbed parabolic reaction diffusion differential difference equations. (English) Zbl 07860040
Potentiality of the HOFiD\(\_\)bvp code in solving different kind of second order boundary value problems. (English) Zbl 1540.65231
Mathematical models of combustion processes. (English. Russian original) Zbl 1543.35013
J. Math. Sci., New York 281, No. 3, 390-397 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 185, 50-57 (2020).
Efficient parameter-robust numerical methods for singularly perturbed semilinear parabolic PDEs of convection-diffusion type. (English) Zbl 07853033
Supercloseness of the LDG method for a singularly perturbed convection-diffusion problem on Bakhvalov-type mesh. (English) Zbl 07850522
Stability and error analysis of an efficient numerical method for convection dominated parabolic PDEs with jump discontinuity in source function on modified layer-adapted mesh. (English) Zbl 07849829
MSC:
65Mxx
A novel fitted three term method for the numerical treatment of singularly perturbed differential-difference equations. (English) Zbl 1539.65079
The supercloseness of the finite element method for a singularly perturbed convection-diffusion problem on a Bakhvalov-type mesh in 2D. (English) Zbl 07844475
Existence, asymptotics, and Lyapunov stability of solutions of periodic parabolic problems for Tikhonov-type reaction-diffusion systems. (English. Russian original) Zbl 1537.35032
Math. Notes 115, No. 2, 232-239 (2024); translation from Mat. Zametki 115, No. 2, 276-285 (2024).
Enhancing the accuracy and efficiency of two uniformly convergent numerical solvers for singularly perturbed parabolic convection-diffusion-reaction problems with two small parameters. (English) Zbl 1541.65118
The uniform convergence of a weak Galerkin finite element method in the balanced norm for reaction-diffusion equation. (English) Zbl 1540.65496
Internal transition layer structure in the reaction-diffusion problem for the case of a balanced reaction with a weak discontinuity. (English) Zbl 1540.34113
On some problems for partial differential equations with a small parameter in the principal part. (English. Russian original) Zbl 1537.35033
J. Math. Sci., New York 279, No. 5, 623-634 (2024); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 183, 61-72 (2020).
Highly accurate method for a singularly perturbed coupled system of convection-diffusion equations with Robin boundary conditions. (English) Zbl 1535.65106
An \(hp\) finite element method for a two-dimensional singularly perturbed boundary value problem with two small parameters. (English) Zbl 1534.65245
Efficient approximation of solution derivatives for system of singularly perturbed time-dependent convection-diffusion PDEs on Shishkin mesh. (English) Zbl 1536.65081
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
A higher order compact numerical approach for singularly perturbed parabolic problem with retarded term. (English) Zbl 07827787
MSC:
65Mxx
An improved pointwise error estimate of the LDG method for 1-d singularly perturbed reaction-diffusion problem. (English) Zbl 07827754
A uniformly convergent numerical algorithm on harmonic \((H(\ell))\) mesh for parabolic singularly perturbed convection-diffusion problems with boundary layer. (English) Zbl 1535.65124
Robust DPG test spaces and fortin operators – the \(H^1\) and \(\boldsymbol{H}(\operatorname{div})\) cases. (English) Zbl 1535.65278
A variable stepsize hybrid block optimized technique for integrating a class of singularly perturbed parabolic problems. (English) Zbl 1535.65164
Wavelets collocation method for singularly perturbed differential-difference equations arising in control system. (English) Zbl 1535.65107
A posteriori error estimates for a dual finite element method for singularly perturbed reaction-diffusion problems. (English) Zbl 1533.65228
Balanced and energy norm error bounds for a spatial FEM with Crank-Nicolson and BDF2 time discretisation applied to a singularly perturbed reaction-diffusion problem. (English) Zbl 1534.65185
A convection-diffusion problem with a large shift on Durán meshes. (English) Zbl 1540.65368
Reviewer: Yanlai Chen (North Dartmouth)
A robust higher-order finite difference technique for a time-fractional singularly perturbed problem. (English) Zbl 1540.65306
An upwind finite volume element method on a Shishkin mesh for singularly perturbed convection-diffusion problems. (English) Zbl 1522.65189
A numerical approach for a two-parameter singularly perturbed weakly-coupled system of 2-D elliptic convection-reaction-diffusion PDEs. (English) Zbl 1522.35220
A Third Order Dynamical System for Mixed Variational Inequalities. arXiv:2406.19345
Preprint, arXiv:2406.19345 [math.DS] (2024).
Polytropic Dynamical Systems with Time Singularity. arXiv:2405.08736
Preprint, arXiv:2405.08736 [math.DS] (2024).
WKB-based third order method for the highly oscillatory 1D stationary Schrödinger equation. arXiv:2402.18406
Preprint, arXiv:2402.18406 [math.NA] (2024).
Optimally truncated WKB approximation for the 1D stationary Schrödinger equation in the highly oscillatory regime. arXiv:2401.10141
Preprint, arXiv:2401.10141 [math.NA] (2024).
Neural Networks for Singular Perturbations. arXiv:2401.06656
Preprint, arXiv:2401.06656 [math.NA] (2024).
An efficient parameter uniform spline-based technique for singularly perturbed weakly coupled reaction-diffusion systems. (English) Zbl 07920418
Boundary layer-preserving methods for a class of nonlinear singular perturbation boundary value problems. (English) Zbl 07920406
Parameter independent scheme for singularly perturbed problems including a boundary turning point of multiplicity \(\geq 1\). (English) Zbl 07920375
A novel fitted spline method for the numerical treatment of singularly perturbed differential equations having small delays. (English) Zbl 1543.65117
A numerical approach for diffusion-dominant two-parameter singularly perturbed delay parabolic differential equations. (English) Zbl 1535.65143
A fitted operator method of line scheme for solving two-parameter singularly perturbed parabolic convection-diffusion problems with time delay. (English) Zbl 07814808
Fitted mesh numerical scheme for singularly perturbed delay reaction diffusion problem with integral boundary condition. (English) Zbl 1531.65128
Regularized asymptotics of the solution of a singularly perturbed mixed problem on the semiaxis for an equation of Schrödinger type in the presence of a strong turning point for the limit operator. (Russian. English summary) Zbl 1532.35029
Nonlinear method of angular boundary functions in problems with cubic nonlinearities. (Russian. English summary) Zbl 1532.35028
The robust numerical schemes for two-dimensional elliptical singularly perturbed problems with space shifts. (English) Zbl 07804201
\(hp\)-FEM for reaction-diffusion equations. II: Robust exponential convergence for multiple length scales in corner domains. (English) Zbl 1537.65165
Reviewer: Dana Černá (Liberec)
A novel fitted method for a class of singularly perturbed differential-difference equations with small delay exhibiting twin layer or oscillatory behaviour. (English) Zbl 1534.65105
A uniformly convergent numerical method for singularly perturbed semilinear integro-differential equations with two integral boundary conditions. (English) Zbl 1534.65270
An adaptive grid method for a singularly perturbed convection-diffusion equation with a discontinuous convection coefficient. (English) Zbl 1535.65108
Streamline diffusion finite element method for a singularly perturbed problem with an interior layer on Shishkin mesh. (English) Zbl 1538.65201
A robust higher-order fitted mesh numerical method for solving singularly perturbed parabolic reaction-diffusion problems. (English) Zbl 1530.65083
An efficient hybrid numerical method based on an additive scheme for solving coupled systems of singularly perturbed linear parabolic problems. (English) Zbl 1538.65252
Tension spline approach to singularly perturbed delay differential equations involving large delay. (English) Zbl 1538.65199
Singularly perturbed two-point boundary value problem by applying exponential fitted finite difference method. (English) Zbl 1531.65096
Supercloseness of finite element method for a singularly perturbed convection-diffusion problem on Bakhvalov-type triangular meshes. (English) Zbl 1538.65570
A weak Galerkin finite-element method for singularly perturbed convection-diffusion-reaction problems with interface. (English) Zbl 1538.65485
Analysis of a numerical technique for a singularly perturbed parabolic convection-diffusion interface problem with time delay. (English) Zbl 1526.65040
A second order stabilized central difference method for singularly perturbed differential equations with a large negative shift. (English) Zbl 1526.65029
Nonsmooth regular perturbations of singularly perturbed problems. (English) Zbl 1540.34112
Reviewer: Vasile Dragan (Bucureşti)
Third (fourth) order accurate two-step super-stable cubic spline polynomial approximation for the second order non-linear initial-value problems. (English) Zbl 07745942
An exponentially fitted method for two parameter singularly perturbed parabolic boundary value problems. (English) Zbl 1526.65036
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction-diffusion problems. (English) Zbl 1523.65086
Reviewer: Abdallah Bradji (Annaba)
First-order system least-squares finite element method for singularly perturbed Darcy equations. (English) Zbl 1522.65209
A quadratic B-spline collocation method for a singularly perturbed semilinear reaction-diffusion problem with discontinuous source term. (English) Zbl 1519.65017
Parameter-uniform convergence analysis of a domain decomposition method for singularly perturbed parabolic problems with Robin boundary conditions. (English) Zbl 1518.65105
Convergence analysis of weak Galerkin finite element method for semilinear parabolic convection dominated diffusion equations on polygonal meshes. (English) Zbl 1538.65365
Coupled and uncoupled sign-changing spikes of singularly perturbed elliptic systems. (English) Zbl 1529.35198
Reviewer: Thomas J. Bartsch (Gießen)
An effective shooting piecewise analytical integration method for singular perturbation two-point boundary value problems. (English) Zbl 1538.34224
Uniform convergence analysis of the BDF2 scheme on Bakhvalov-type meshes for a singularly perturbed Volterra integro-differential equation. (English) Zbl 07727123
Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type. (English) Zbl 1517.65120
Contrast structures in the reaction-advection-diffusion problem appearing in a drift-diffusion model of a semiconductor in the case of nonsmooth reaction. (English. Russian original) Zbl 1522.34080
Theor. Math. Phys. 215, No. 3, 769-783 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 360-376 (2023).
Robust estimates in balanced norms for singularly perturbed reaction diffusion equations using graded meshes. (English) Zbl 1517.65104
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