Found 554 Documents (Results 1–100)
The \(L_q\)-weighted dual programming of the linear Chebyshev approximation and an interior-point method. (English) Zbl 07909966
Exact enforcement of temporal continuity in sequential physics-informed neural networks. (English) Zbl 07904360
Low rank approximation in the computation of first kind integral equations with TauToolbox. (English) Zbl 07901893
An exact solution to the inverse problem of steady free-surface flow over topography. (English) Zbl 07901734
Reviewer: Abdallah Bradji (Annaba)
MSC:
76B15
Deep ReLU networks and high-order finite element methods. II: Chebyšev emulation. (English) Zbl 07894795
Polynomial solution of Cauchy-type singular integro-differential equations with bivariate kernels. (English) Zbl 07890879
Local behaviors of Fourier expansions for functions of limited regularities. (English) Zbl 1542.65139
Enhancing predictive capabilities in data-driven dynamical modeling with automatic differentiation: Koopman and neural ODE approaches. (English) Zbl 07864177
Comparison of K-spectral set bounds on norms of functions of a matrix or operator. (English) Zbl 07850914
Weak-PDE-LEARN: a weak form based approach to discovering PDEs from noisy, limited data. (English) Zbl 07843846
Trans-Net: a transferable pretrained neural networks based on temporal domain decomposition for solving partial differential equations. (English) Zbl 07839779
MSC:
65Mxx
Computation of two-dimensional Stokes flows via lightning and AAA rational approximation. (English) Zbl 1535.76029
Precise eigenvalues in the solutions of generalized Sturm-Liouville problems. (English) Zbl 1540.65250
The barycentric rational predictor-corrector schemes for Volterra integral equations. (English) Zbl 1536.65167
Is hyperinterpolation efficient in the approximation of singular and oscillatory functions? (English) Zbl 1539.41006
Reviewer: Mykhaylo Pahirya (Uzhhorod)
Theory and computation of radial solutions for Neumann problems with \(\phi\)-Laplacian. (English) Zbl 1534.35187
Kernel functions embed into the autoencoder to identify the sparse models of nonlinear dynamics. (English) Zbl 1533.93110
NAS-PINN: neural architecture search-guided physics-informed neural network for solving PDEs. (English) Zbl 07808002
An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. (English) Zbl 1534.65112
Multi-scale spectral methods for bounded radially symmetric capillary surfaces. (English) Zbl 07799523
Feature-adjacent multi-fidelity physics-informed machine learning for partial differential equations. (English) Zbl 07797662
The Szegö kernel and oblique projections: conformal mapping of non-smooth regions. (English) Zbl 1535.65039
Reviewer: Alekos Vidras (Nikosia)
Auxiliary functions as Koopman observables: data-driven analysis of dynamical systems via polynomial optimization. (English) Zbl 07765725
An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code. (English) Zbl 1522.65035
Efficient and validated numerical evaluation of abelian integrals. (English) Zbl 07912541
MSC:
65-XX
Fast barycentric rational interpolations for complex functions with some singularities. (English) Zbl 1531.65023
Reviewer: Mykhaylo Pahirya (Uzhhorod)
Brownian bridge expansions for Lévy area approximations and particular values of the Riemann zeta function. (English) Zbl 1527.60021
An interface formulation of the Laplace-Beltrami problem on piecewise smooth surfaces. (English) Zbl 1528.35039
Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points. (English) Zbl 1529.42002
Reviewer: Antonio López-Carmona (Granada)
AAA-least squares rational approximation and solution of Laplace problems. (English) Zbl 1526.41003
Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 511-534 (2023).
On a method for solving a mixed boundary value problem for a parabolic equation using modified sinc-approximation operators. (English. Russian original) Zbl 07752260
Comput. Math. Math. Phys. 63, No. 7, 1264-1284 (2023); translation from Zh. Vychisl. Mat. Mat. Fiz. 63, No. 7, 1156-1176 (2023).
A unified scalable framework for causal sweeping strategies for physics-informed neural networks (PINNs) and their temporal decompositions. (English) Zbl 07748050
Multifidelity deep operator networks for data-driven and physics-informed problems. (English) Zbl 07748048
Factorized structure of the long-range two-electron integrals tensor and its application in quantum chemistry. (English) Zbl 07748046
Fronts in the wake of a parameter ramp: slow passage through pitchfork and fold bifurcations. (English) Zbl 1541.34073
A “fundamental lemma” for continuous-time systems, with applications to data-driven simulation. (English) Zbl 1520.93209
The dynamics of interacting multi-pulses in the one-dimensional quintic complex Ginzburg-Landau equation. (English) Zbl 1522.35484
Decomposition and conformal mapping techniques for the quadrature of nearly singular integrals. (English) Zbl 07726915
Full recovery from point values: an optimal algorithm for Chebyshev approximability prior. (English) Zbl 1525.41001
Reviewer: Marcel G. de Bruin (Heemstede)
Spectral methods for capillary surfaces described by bounded generating curves. (English) Zbl 07701058
Parameter choice strategies for error expressions and the numerical stability of Tikhonov-regularized approximation formulae. (English) Zbl 1524.65180
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. (English) Zbl 1514.65183
Numerical solution of distributed-order time-fractional diffusion-wave equations using Laplace transforms. (English) Zbl 07700237
Numerical computation of partial differential equations by hidden-layer concatenated extreme learning machine. (English) Zbl 1515.65046
Bernstein-type constants for approximation of \(| x |^\alpha\) by partial Fourier-Legendre and Fourier-Chebyshev sums. (English) Zbl 1528.41013
Fast computation of \(\mathrm{sep}_\lambda\) via interpolation-based globality certificates. (English) Zbl 1524.65169
Convergence rate analysis and improved iterations for numerical radius computation. (English) Zbl 1512.65063
A summation method for trigonometric Fourier series based on sinc-approximations. (English. Russian original) Zbl 1528.42009
J. Math. Sci., New York 270, No. 6, 842-858 (2023); translation from Probl. Mat. Anal. 124, 95-109 (2023).
Quantifying mixing in arbitrary fluid domains: a Padé approximation approach. (English) Zbl 07676525
MSC:
65Mxx
On the stability of unevenly spaced samples for interpolation and quadrature. (English) Zbl 1511.94021
A generic and strictly banded spectral Petrov-Galerkin method for differential equations with polynomial coefficients. (English) Zbl 1512.65154
A \(\mu\)-mode BLAS approach for multidimensional tensor-structured problems. (English) Zbl 1528.15001
An extra-component method for evaluating fast matrix-vector multiplication with special functions. (English) Zbl 07669766
MSC:
65-XX
Spectacularly large expansion coefficients in Müntz’s theorem. (English) Zbl 1512.41007
Reviewer: Zoltán Finta (Cluj-Napoca)
An unsupervised latent/output physics-informed convolutional-LSTM network for solving partial differential equations using peridynamic differential operator. (English) Zbl 1539.65154
Computing Gaussian quadrature rules with high relative accuracy. (English) Zbl 1506.65053
MSC:
65D32
ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application. (English) Zbl 07644397
Error estimates for Golub-Kahan bidiagonalization with Tikhonov regularization for ill-posed operator equations. (English) Zbl 1538.65137
The Rayleigh-Bénard problem for a fluid with pressure- and temperature-dependent material properties. (English) Zbl 1503.35160
Confluent Vandermonde with Arnoldi. (English) Zbl 1500.65003
MSC:
65D05
Bayesian deep learning for partial differential equation parameter discovery with sparse and noisy data. (English) Zbl 07785564
PDE-READ: human-readable partial differential equation discovery using deep learning. (English) Zbl 07751038
MSC:
68T07
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