Results 151 to 160 of about 2,057 (240)

New Drain Spacing Formulas Using the Variational Iteration Method

Irrigation and Drainage, Volume 75, Issue 3, Page 1287-1297, July 2026.
ABSTRACT In this study, the drain spacing is computed using the variational iteration method (VIM) to the linearized Boussinesq equation. By applying at most two iterations of the VIM method under three different initial condition scenarios, three equations for drain spacing calculation were derived. These equations predict values of drain spacing that
George Kargas, Leonidas Mindrinos, Paraskevi Londra   +2 more
wiley   +1 more source

Multilevel Monte Carlo for Bayesian Inverse Problems [PDF]

, 2014
Introduction In recent years, various methods have been developed for solving parametric operator equations, focusing on the estimation of parameters given measurements of the parametric solution, subject to a stochastic observation error model.
Gantner, Robert N., Schwab, Christoph, Schillings, Claudia   +2 more
core  

Latent Neural Operator for Solving Forward and Inverse PDE Problems

Advances in Neural Information Processing Systems 37
Neural operators effectively solve PDE problems from data without knowing the explicit equations, which learn the map from the input sequences of observed samples to the predicted values. Most existing works build the model in the original geometric space, leading to high computational costs when the number of sample points is large.
Tian Wang 0006, Chuang Wang
openaire   +3 more sources

Stability of a Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benjamin–Ono Equation

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
wiley   +1 more source

On the Choice of Optimization Norm for Anderson Acceleration of the Picard Iteration for Navier–Stokes Equations

Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.
ABSTRACT While recent Anderson acceleration (AA) convergence theory [Pollock et al., IMA Num. An., 2021] requires that the AA optimization norm match the Hilbert space norm associated with the fixed point operator, in implementations the ℓ2$$ {\ell}^2 $$ norm is the most common choice. So far there is little research done regarding this discrepancy. To
Elizabeth Hawkins, Leo G. Rebholz
wiley   +1 more source

Coexistence, crossover and extirpation in coalescent communities and ecotones

Oikos, Volume 2026, Issue 7, July 2026.
When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley   +1 more source

The Effect of the Earth's Rotation on Wave‐Induced Drift in Finite‐Depth Water: The Role of Unsteadiness

Journal of Geophysical Research: Oceans, Volume 131, Issue 7, July 2026.
Abstract Wave‐induced transport in the coastal zone can play an important role in the distribution of nutrients, plankton, and pollutants including plastic litter. The effect of the water depth, unsteadiness of the wave field, and the rotation of the Earth on the wave‐induced drift is investigated in this paper. We derive a model for the time‐dependent
J. Mol, J. J. M. Slot, P. A. Sanders, M. Duran‐Matute, T. S. van den Bremer   +4 more
wiley   +1 more source

A Conjugate Operator Pair of Partial Differential Equations Bridging Born and Kirchhoff Approximations for Wave‐Equation Inversion

Geophysical Prospecting, Volume 74, Issue 6, July 2026.
ABSTRACT A conjugate operator pair is introduced for wave‐equation Kirchhoff modelling and migration, formulated as time‐space partial differential equations. The operator pair allows for iterative linearized waveform inversion and supports the reconstruction of angle‐dependent reflectivity images. The proposed forward modelling operator represents the
Wei Zhang, Mauricio D. Sacchi
wiley   +1 more source

An Algebraic Study of Parametric Stokes Phenomena

Studies in Applied Mathematics, Volume 157, Issue 1, July 2026.
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
wiley   +1 more source

Bayesian inverse problems in PDEs [PDF]

A significant challenge facing mathematical scientists is the development of a coherent mathematical and algorithmic framework enabling researchers to blend complex mathematical models with the (often vast) data sets which are now routinely available in ...
Stuart, A. M.
core