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Ammari, Kaïs (ed.) et al., Advances in partial differential equations and control. The 2023 conference in Seville, Spain, March 27–29, 2023. Based on the conference on control & related fields. Cham: Birkhäuser. Trends Math., 175-195 (2024).

MSC: 65M32 65M06 82C40 92C37 92C45 92-08 35Q92

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Abdallah, Zahraa; Gerbi, Stéphane; Wehbe, Ali

Energy decay estimate for a wave-plate interface transmission problem with only two dynamical boundary controls. (English) Zbl 07951294

MSC: 35L57 35B40 37L15

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Baumgarten, Niklas; Krumscheid, Sebastian; Wieners, Christian

A fully parallelized and budgeted multilevel Monte Carlo method and the application to acoustic waves. (English) Zbl 07950862

SIAM/ASA J. Uncertain. Quantif. 12, 901-931 (2024).

MSC: 65C05 65M60 65Y05 90C39

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Mahnken, Rolf; Simeu, Arnold Tchomgue

Downwind and upwind approximations for primal and dual problems of elasto-plasticity with Prandtl-Reuss type material laws. (English) Zbl 07949551

Comput. Methods Appl. Mech. Eng. 432, Part B, Article ID 117277, 40 p. (2024).

MSC: 74S05 65M60 74C05

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Gatti, Federico; Bressan, Andrea; Fumagalli, Alessio; Gallipoli, Domenico; Lalicata, Leonardo Maria; Pittaluga, Simone; Tamellini, Lorenzo

Two Nitsche-based mixed finite element discretizations for the seepage problem in Richards’ equation. (English) Zbl 07947879

Comput. Methods Appl. Mech. Eng. 432, Part A, Article ID 117368, 20 p. (2024).

MSC: 76M10 65M60 74F10 76S05

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Fedorov, Vladimir Evgen’evich; Plekhanova, Marina Vasil’evna; Sagimbaeva, Angelina Olegovna

Nonlinear inverse problems with a stationary unknown element for equations with Dzhrbashyan-Nersesyan derivatives. (Russian. English summary) Zbl 07947835

Mat. Zamet. SVFU 31, No. 3, 53-72 (2024).

MSC: 35R30 35R11

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Popov, Nikolaĭ Sergeevich

On nonlocal integro-differential boundary value problems for multidimensional pseudoparabolic equations. (Russian. English summary) Zbl 07947834

Mat. Zamet. SVFU 31, No. 3, 39-52 (2024).

Reviewer: Ekaterina Balakina (Novosibirsk)

MSC: 45K05 35R09

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Kozhanov, Aleksandr Ivanovich; Spiridonova, Naryĭa Ruslanovna

Boundary problems for a special class of degenerate hyperbolic equations. (Russian. English summary) Zbl 07947831

Mat. Zamet. SVFU 31, No. 3, 3-14 (2024).

MSC: 35L80 35L20

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Pyatkov, Sergeĭ Grigor’evich; Potapkov, Alekseĭ Aleksandrovich

On some classes of coefficirnt inverse problems of recovering thermophysical parameters in stratified media. (Russian. English summary) Zbl 07947824

Mat. Zamet. SVFU 31, No. 2, 31-45 (2024).

MSC: 35R30 35K20

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Gomez, Daniel; Wei, Juncheng

Existence and stability of a boundary layer with an interior spike in the singularly perturbed shadow Gierer-Meinhardt system. (English) Zbl 07947639

SIAM J. Appl. Math. 84, No. 6, 2238-2257 (2024).

MSC: 35B25 35B30 35B36 35K51 35K57

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Mohammadi, Abumoslem; Marzabad, Abolfazl Tari

A space-time least-squares support vector regression scheme for inverse source problem of the time-fractional wave equation. (English) Zbl 07947231

Iran. J. Numer. Anal. Optim. 14, No. 4, 1037-1068 (2024).

MSC: 35R11 65M70 65M22

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Kundu, A.; Mahato, H. S.

Existence of solution for an optimal control problem in a heterogeneous porous medium. (English) Zbl 07946831

IMA J. Math. Control Inf. 41, No. 2, 328-355 (2024).

MSC: 35K57 35B27 35K51 35K91 35Q93 76M50

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Liao, Hong-lin; Wang, Xuping; Wen, Cao

Original energy dissipation preserving corrections of integrating factor Runge-Kutta methods for gradient flow problems. (English) Zbl 07945393

J. Comput. Phys. 519, Article ID 113456, 23 p. (2024).

MSC: 35K58 65L20 65M06 65M12

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Stiernström, Vidar; Almquist, Martin; Dunham, Eric M.

Adjoint-based inversion for stress and frictional parameters in earthquake modeling. (English) Zbl 07945385

J. Comput. Phys. 519, Article ID 113447, 32 p. (2024).

MSC: 65Mxx 65Nxx 86Axx

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Ben-Artzi, Matania

GRP – a direct Godunov extension. (English) Zbl 07945352

J. Comput. Phys. 519, Article ID 113388, 23 p. (2024).

MSC: 65M12 35L65 65M06

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Odibat, Zaid

Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations. (English) Zbl 07944856

Appl. Numer. Math. 206, 1-11 (2024).

MSC: 65Mxx 35Rxx 26Axx

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Feng, Li; Jin, Yunjuan; Sun, Yinzheng

A class of piecewise constant Radon measure solutions to Riemann problems of compressible Euler equations with discontinuous fluxes: pressureless flow versus Chaplygin gas. (English) Zbl 07944362

Z. Angew. Math. Phys. 75, No. 6, Paper No. 216, 28 p. (2024).

MSC: 35Q31 35R06 35L04 35Q70 35R37 76N30

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Huaroto, Gerardo

Doubly nonlinear isotropic fractional parabolic equation. (English) Zbl 07944341

J. Elliptic Parabol. Equ. 10, No. 2, 915-941 (2024).

MSC: 35R11 35K20 35K65 35K92

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Wang, Yong; Xiao, Changguo; Yong, Yan

The global well-posedness of the relativistic Boltzmann equation with hard potentials and diffuse reflection boundary condition in bounded domains. (English) Zbl 07943323

Nonlinearity 37, No. 12, Article ID 125017, 64 p. (2024).

MSC: 35Q20 83A05 35B30 33C10 35B45 35B20 35B35

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Formalev, V. F.; Garibyan, B. A.

Mathematical modeling of anisotropic thermal protection with a high degree of longitudinal anisotropy. (English) Zbl 07940851

Lobachevskii J. Math. 45, No. 5, 2273-2278 (2024).

MSC: 35K20 35A22

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Brychkov, Yu. A.

On sums of special functions. (English) Zbl 07940848

Lobachevskii J. Math. 45, No. 5, 2237-2247 (2024).

MSC: 33C45 33C05 33C20 33C65 33B10

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Shamsiev, M. N.; Gadil’shina, V. R.

Numerical analysis of gas well test results in naturally fractured reservoirs. (English) Zbl 07940839

Lobachevskii J. Math. 45, No. 5, 2151-2159 (2024).

MSC: 76S05 76M20 65M06

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Elesin, A. V.; Kadyrova, A. Sh.

Estimation of the porosity and permeability fields of a three-phase layered reservoir using the spline surfaces. (English) Zbl 07940814

Lobachevskii J. Math. 45, No. 5, 1936-1946 (2024).

MSC: 76S05 35Q35 35R30 65M32 76T30

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Found 14,416 Documents (Results 1–100)

Analysis of a multiscale interface problem based on the coupling of partial and ordinary differential equations to model tissue perfusion. (English) Zbl 07973493

Stabilizer-free weak Galerkin method and its optimal \(L^2\) error estimates for the time-dependent Poisson-Nernst-Planck problem. (English) Zbl 07973458

ARMS: adding and removing markers on splines for high-order general interface tracking under the MARS framework. (English) Zbl 07972909

Shape perturbation of a nonlinear mixed problem for the heat equation. (English) Zbl 07971655

A new method for solving the exact control problem for the one-dimensional wave equation. (English) Zbl 07969372

Stabilization of isogeometric finite element method with optimal test functions computed from \(L_2\) norm residual minimization. (English) Zbl 07968715

Numerical simulation of the generalized modified Benjamin-Bona-Mahony equation using SBP-SAT in time. (English) Zbl 07968688

A study of the Orr-Sommerfeld and induction equations by Galerkin and Petrov-Galerkin spectral methods utilizing Chebyshev polynomials. (English) Zbl 07968685

Neumann problem for fractional Ginzburg-Landau equation on an upper-right quarter plane. (Neumann problem for fractional Ginzburg-Landau equation on a upper-right quarter plane.) (English) Zbl 07968320

Stability estimate for a time-dependent coefficient identification problem in parabolic equations. (English) Zbl 07968304

On an obstacle problem for the Brakke flow with a generalized right-angle boundary condition. (English) Zbl 07968293

Traceability of water pollution: an inversion scheme via dynamic complex geometrical optics solutions. (English) Zbl 07968288

Pure-positivity-preserving methods with an optimal sufficient CFL number for fifth-order MR-WENO schemes on structured meshes. (English) Zbl 07967274

An \(\alpha \)-robust analysis of finite element method for space-time fractional diffusion equation. (English) Zbl 07965174

A direct reconstruction method for radiating sources in Maxwell’s equations with single-frequency data. (English) Zbl 07964130

An inverse problem of identifying two coefficients in a time-fractional reaction diffusion system. (English) Zbl 07962675

Implementation of the ADMM approach to constrained optimal control problem with a nonlinear time-fractional diffusion equation. (English) Zbl 07962671

A higher-order quadratic NLS equation on the half-line. (English) Zbl 07961656

Inverse coefficient problems for one-dimensional time-fractional diffusion equations. (English) Zbl 07961491

A new hybrid trigonometric WENO scheme for hyperbolic conservation laws and highly oscillatory problems. (English) Zbl 07961479

Computing optimal partition problems via Lagrange multiplier approach. (English) Zbl 07960911

A novel multilevel finite element method for a generalized nonlinear Schrödinger equation. (English) Zbl 07958817

A kind regularization method for solving Cauchy problem of the Schrödinger equation. (English) Zbl 07958791

Numerical discretization of initial-boundary value problems for PDEs with integer and fractional order time derivatives. (English) Zbl 07954657

Numerical simulation of phase transition with the hyperbolic Godunov-Peshkov-Romenski model. (English) Zbl 07954006

RandONets: shallow networks with random projections for learning linear and nonlinear operators. (English) Zbl 07953956

Extinction, persistence and growing in a degenerate logistic model with impulses. (English) Zbl 07948489

Existence result for a nonlinear mixed boundary value problem for the heat equation. (English) Zbl 07946877

Uniform regularity and vanishing dissipation limit for the 3D magnetic Bénard equations in half space. (English) Zbl 07941660

Multiscale model reduction for the time fractional thermoporoelasticity problem in fractured and heterogeneous media. (English) Zbl 07939168

Analysis of the boundary conditions for the ultraweak-local discontinuous Galerkin method of time-dependent linear fourth-order problems. (English) Zbl 07929942

Interpolated coefficients stabilizer-free weak Galerkin method for semilinear parabolic convection-diffusion problem. (English) Zbl 07927819

Two regularization methods for identifying the unknown source of Sobolev equation with fractional Laplacian. (English) Zbl 07925046

A posteriori-based, local multilevel mesh refinement for the Darcy porous media flow problem. (English) Zbl 07901805

Adaptive operator learning for infinite-dimensional Bayesian inverse problems. (English) Zbl 07973170

An efficient numerical approximation for mixed singularly perturbed parabolic problems involving large time-lag. (English) Zbl 07973063

Numerical solution of a time dependent singularly perturbed delay differential equation on an exponentially graded mesh. (English) Zbl 07973060

PDE-convergence in euclidean norm of AMF-W methods for multidimensional linear parabolic problems. (English) Zbl 07971350

Null controllability of the advection-dispersion equation with respect to the dispersion parameter using the Fokas method. (English) Zbl 07970581

The linear sampling method for data generated by small random scatterers. (English) Zbl 07970555

The existence, asymptotic behaviour and blow-up of solution of a plate equation with nonlinear averaged damping. (English) Zbl 07968446

General boundary conditions for a Boussinesq model with varying bathymetry. (English) Zbl 07966106

Solvability of the first initial-boundary value problem for the quasihydrodynamics equations in the shallow water approximation. (English) Zbl 07961806

Identification of the local changes in age-structured population dynamics with missing initial condition. (English) Zbl 07961699

Inverse coefficient problem in hyperbolic partial differential equations: an analytical and computational exploration. (English) Zbl 07961507

Iterative numerical methods for solving the problem of determining the coefficient in the sorption dynamics model. (English) Zbl 07961377

A degenerate forward-backward problem involving the spectral Dirichlet Laplacian. (English) Zbl 07960476

A method of boundary equations for nonlinear Poisson-Boltzmann equation arising in biomolecular systems. (English) Zbl 07960078

Convective Cahn-Hilliard-Oono equation. (English) Zbl 07960075

Inverse problem for quasi-stationary complex heat transfer equations with Fresnel matching conditions. (English) Zbl 07960066

Richardson’s third-order difference scheme for the Cauchy problem in the case of transport equation. (English) Zbl 07960062

Determination of an unknown coefficient in the Korteweg-de Vries equation. (English) Zbl 07959817

Linearized boundary control method for density reconstruction in acoustic wave equations. (English) Zbl 07959443

Coercivity-based analysis and its application to an inverse source problem for a subdiffusion equation with time-dependent principal parts. (English) Zbl 07959439

A heterogeneous patient-specific model of glioblastoma multiforme tumor through an inverse problem. (English) Zbl 07959437

Error analysis of a second-order linearized difference scheme for the modified phase field crystal model. (Chinese. English summary) Zbl 07959382

Initial-boundary value problem for a nonlinear modified Boussinesq equation. (English. Russian original) Zbl 07959297

Exponential Tikhonov regularization method for an inverse source problem in a sub-diffusion equation. (English) Zbl 07958102

Self-similar solution to the Stefan problem on surfaces of revolution. (English) Zbl 07957826

Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems. (English. Russian original) Zbl 07955523

Generalized initial-boundary value problem for the wave equation with mixed derivative. (English. Russian original) Zbl 07955515

Mixed problem for a linear Barenblatt-Zheltov-Kochina equation with fractional Hilfer operator. (English) Zbl 07954517

Initial boundary value and inverse coefficient problems for one-dimensional fractional diffusion equation in a half-line. (English) Zbl 07954510

Artifacts of reconstructed images in inverse problems of ultrasound tomography in models with absorption. (English) Zbl 07954490

Supercomputer simulations in designing medical ultrasound tomographic imaging devices. (English) Zbl 07954489

Assessment of the possibilities of ultrasound tomographic imaging of multi-layer composite materials. (English) Zbl 07954483

A uniformly convergent method for two-parameter singularly perturbed parabolic partial differential equations with a large shift. (English) Zbl 07954335

A multipoint boundary value problem in time for a \(2b\)-parabolic equation with degeneracy. (Ukrainian. English summary) Zbl 07954139

Penalty method for unilateral contact problem with Coulomb’s friction in time-fractional derivatives. (English) Zbl 07953924

Semiclassical limit of a simplified quantum energy-transport model for bipolar semiconductors. (English) Zbl 07953651

Influence of environmental pollution and bacterial hyper-infectivity on dynamics of a waterborne pathogen model with free boundaries. (English) Zbl 07952724

Solvability of nonlocal problem with integral condition for third order equation. (English) Zbl 07952660

A splitting method for nonlinear filtering problems with diffusive and point process observations. (English) Zbl 07952149