scientific article; zbMATH DE number 2152342
From MaRDI portal
Publication:4663944
zbMath1071.65118MaRDI QIDQ4663944
Publication date: 4 April 2005
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
stabilityconsistencytextbookwell-posednessFourier analysisiterative methodsfinite difference methodsKreiss matrix theoremmultistep schemeshyperbolic, parabolic and elliptic equations
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Iterative numerical methods for linear systems (65F10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Parabolic equations and parabolic systems (35Kxx) Hyperbolic equations and hyperbolic systems (35Lxx) Elliptic equations and elliptic systems (35Jxx)
Related Items
High Order Compact Schemes for Flux Type BCs, Analysis of stability and dispersion in a finite element method for Debye and Lorentz dispersive media, The numerical solution of semidiscrete linear evolution problems on the finite interval using the Unified Transform Method, Unnamed Item, Time-dependent Dirac equation with physics-informed neural networks: computation and properties, Truncation errors and modified equations for the lattice Boltzmann methodviathe corresponding Finite Difference schemes, Accurate derivatives approximations and applications to some elliptic PDEs using HOC methods, Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain, Deep learning methods for partial differential equations and related parameter identification problems, A combined compact finite difference scheme for solving the acoustic wave equation in heterogeneous media, Sharp error estimates of a fourth‐order compact scheme for a Poisson interface problem, Spatio‐temporal fault localization for nonlinear spatially distributed processes: A spatial mapping filter‐based framework, Numerical solution of a malignant invasion model using some finite difference methods, Fully probabilistic deep models for forward and inverse problems in parametric PDEs, A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems, Dynamical analysis and optimal control for an age-structure HIV transmission model, Quantifying parameter ranges for high fidelity simulations for prescribed accuracy by Lax-Wendroff method, Global spectral analysis: review of numerical methods, Alternative direction implicit method for solving first order 2D hyperbolic delay differential equations, Richardson extrapolation technique for generalized Black-Scholes PDEs for European options, An optimal control problem for a biological population model with diffusion and infectious disease, Numerical analysis of a time filtered scheme for a linear hyperbolic equation inspired by DNA transcription modeling, An explicit exponential integrator based on Faber polynomials and its application to seismic wave modeling, Pricing European options under stochastic looping contagion risk model, Numerical solutions of nonhomogeneous Rosenau type equations by quintic B‐spline collocation method, Numerical methods for fourth-order PDEs on overlapping grids with application to Kirchhoff-Love plates, A Fréchet derivative‐based novel approach to option pricing models in illiquid markets, A dispersion analysis of uniformly high order, interior and boundaries, mimetic finite difference solutions of wave propagation problems, Spectral operator learning for parametric PDEs without data reliance, Merging on-chip and in-silico modelling for improved understanding of complex biological systems, Improved finite difference technique via Adomian polynomial to solve the coupled Drinfeld's-Sokolov-Wilson system, Cascadic Newton’s method for the elliptic Monge–Ampère equation, Microlocally accurate solution of the inverse source problem of thermoacoustic tomography, Pattern Formation Scenario through Turing Instability in Interacting Reaction Diffusion Systems with Both Refuge and Nonlinear Harvesting, Numerical Simulation of Hyperbolic Conservation Laws Using High Resolution Schemes with the Indulgence of Fuzzy Logic, An Additive Overlapping Domain Decomposition Method for the Helmholtz Equation, Unnamed Item, Continuous-time Random Walks for the Numerical Solution of Stochastic Differential Equations, A high-order perturbation of envelopes (HOPE) method for scattering by periodic inhomogeneous media, Long-time asymptotics of non-degenerate non-linear diffusion equations, A primal-dual optimization strategy for elliptic partial differential equations, An efficient variable step-size method for options pricing under jump-diffusion models with nonsmooth payoff function, A high accuracy compact semi-constant mesh off-step discretization in exponential form for the solution of non-linear elliptic boundary value problems, A New Family of Difference Schemes for Space Fractional Advection Diffusion Equation, Aθ-finite difference scheme based on cubic B-spline quasi-interpolation for the time fractional Cattaneo equation with Caputo–Fabrizio operator, LOCALIZED RADIAL BASIS FUNCTIONS FOR NO-ARBITRAGE PRICING OF OPTIONS UNDER STOCHASTIC ALPHA–BETA–RHO DYNAMICS, Entropies and Symmetrization of Hyperbolic Stochastic Galerkin Formulations, Ill posedness in modelling two-dimensional morphodynamic problems: effects of bed slope and secondary flow, Numerical solution of second-order hyperbolic telegraph equation via new cubic trigonometric B-splines approach, A leapfrog semi-smooth Newton-multigrid method for semilinear parabolic optimal control problems, On the accurate numerical solution of a two-phase Stefan problem with phase formation and depletion, Solutions to a two-dimensional, Neumann free boundary problem, An Infinite-Length System Possessing a Unique Trapped Mode Versus a Single Degree of Freedom System: A Comparative Study in the Case of Time-Varying Parameters, Multiphase modelling of precipitation-induced membrane formation, Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations, Constructing New Time Integrators Using Interpolating Polynomials, A Brief Survey on Semi-Lagrangian Schemes for Image Processing, Peakompactons: Peaked compact nonlinear waves, Closed form numerical solutions of variable coefficient linear second-order elliptic problems, Robust stabilization design of nonlinear stochastic partial differential systems: fuzzy approach, Hybrid boundary stabilization of linear first-order hyperbolic PDEs despite almost quantized measurements and control input, Robust control design for nonlinear stochastic partial differential systems with Poisson noise: fuzzy implementation, A 2D Daubechies finite wavelet domain method for transient wave response analysis in shear deformable laminated composite plates, Stability analysis of implicit time discretizations for the Compton-scattering Fokker-Planck equation, Convergence analysis of the standard central finite difference method for Poisson equation, A fourth-order accurate quasi-variable mesh compact finite-difference scheme for two-space dimensional convection-diffusion problems, Direct differential photometric stereo shape recovery of diffuse and specular surfaces, A finite difference scheme based on cubic trigonometric B-splines for a time fractional diffusion-wave equation, Approximation of the semigroup generated by the Robin Laplacian in terms of the Gaussian semigroup, A leapfrog multigrid algorithm for the optimal control of parabolic PDEs with Robin boundary conditions, Second-order explicit difference schemes for the space fractional advection diffusion equation, Rescaled local interaction simulation approach for shear wave propagation modelling in magnetic resonance elastography, Estimation of an agent-based model of investor sentiment formation in financial markets, Discretization error estimates in maximum norm for convergent splittings of matrices with a monotone preconditioning part, ADI-FDTD modeling of microwave plasma discharges in air towards fully three-dimensional simulations, Staggered grid leap-frog scheme for the \((2+1)D\) Dirac equation, An energy-stable method for solving the incompressible Navier-Stokes equations with non-slip boundary condition, Analysis and adaptive control for synchronization and \(\mathcal H_\infty\) synchronization of coupled partial differential systems with multiple time-varying delays, Threshold dynamics and optimal control of an age-structured giving up smoking model, Tailored finite point method for parabolic problems, A compact finite differences exact projection method for the Navier-Stokes equations on a staggered grid with fourth-order spatial precision, A semi-implicit conservation element-solution element method for chemical species transport simulation to tapered ducts of internal combustion engine, Spectral analysis of finite difference schemes for convection diffusion equation, Angled derivative approximation of the hyperbolic heat conduction equations, Modeling seismic wave propagation using staggered-grid mimetic finite differences, An exact and efficient first passage time algorithm for reaction-diffusion processes on a 2D-lattice, Operator splitting ADI schemes for pseudo-time coupled nonlinear solvation simulations, ALE-DGSEM approximation of wave reflection and transmission from a moving medium, Single-cone real-space finite difference scheme for the time-dependent Dirac equation, Isotropic finite volume discretization, Absorbing boundary conditions for relativistic quantum mechanics equations, Sylvester equations and the numerical solution of partial fractional differential equations, New explicit group iterative methods in the solution of three dimensional hyperbolic telegraph equations, Entropy stable finite volume approximations for ideal magnetohydrodynamics, An alternating-direction implicit difference scheme for pricing Asian options, Stokes' first problem for some non-Newtonian fluids: results and mistakes, Metastable equilibria of capillary drops on solid surfaces: a phase field approach, A new algorithm for surface tension forces in the framework of the FVCF-ENIP method, Approximation of stochastic advection diffusion equations with stochastic alternating direction explicit methods., A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation, Existence of solution for the Ginzburg-Landau system, a related optimal control problem and its computation by the generalized method of lines, Domain decomposition method and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field, Error dynamics of diffusion equation: effects of numerical diffusion and dispersive diffusion, A new mimetic scheme for the acoustic wave equation, Compact finite difference modeling of 2-D acoustic wave propagation, Conditionally stable multidimensional schemes for advective equations, Stochastic diffusion processes on Cartesian meshes, Qualitative simulation of the growth of electrolessly deposited Cu thin films, Solving partial integro-differential option pricing problems for a wide class of infinite activity Lévy processes, Total-variation-diminishing implicit-explicit Runge-Kutta methods for the simulation of double-diffusive convection in astrophysics, A stability analysis of a real space split operator method for the Klein-Gordon equation, Turing instabilities and spatio-temporal chaos in ratio-dependent Holling-Tanner model, High-performance modeling acoustic and elastic waves using the parallel dichotomy algorithm, Spatial pattern formation induced by Gaussian white noise, Numerical algorithms for diffusion-reaction problems with non-classical conditions, A simple analytical model of action potential duration profile in electrotonically-coupled cells, An accurate finite-difference method for ablation-type Stefan problems, High-order compact finite difference scheme for option pricing in stochastic volatility models, Surprising computations, Implementation of sparse matrix algorithms in an advection-diffusion-chemistry module, On the numerical solution of a Stefan problem with finite extinction time, Closed form solution and equivalent equation approximation of linear advection by a non dissipative second order scheme for step initial conditions, Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits, Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits, Inference for systems of stochastic differential equations from discretely sampled data: a numerical maximum likelihood approach, A non-equilibrium model for rapid finite deformation of hydrated soft biological tissue in uniaxial confined compression, Chebyshev pseudospectral method for computing numerical solution of convection-diffusion equation, An age-structured model for the spread of epidemic cholera: analysis and simulation, Solving partial differential equations on irregular domains with moving interfaces, with applications to superconformal electrodeposition in semiconductor manufacturing, Semi-implicit time integration for \(P_N\) thermal radiative transfer, On a class of bivariate second-order linear partial difference equations and their monic orthogonal polynomial solutions, B-spline quasi-interpolation based numerical methods for some Sobolev type equations, Fokker-Planck equations for stochastic dynamical systems with symmetric Lévy motions, A difference scheme for multidimensional transfer equations with time delay, Stability of nonlinear convection-diffusion-reaction systems in discontinuous Galerkin methods, Computing American option price under regime switching with rationality parameter, Mathematical study of multispecies dynamics modeling predator-prey spatial interactions, On efficient numerical methods for an initial-boundary value problem with nonlocal boundary conditions, High-order unconditionally stable FC-AD solvers for general smooth domains. II: Elliptic, parabolic and hyperbolic PDEs; theoretical considerations, Stability analysis and time-step limits for a Monte Carlo Compton-scattering method, Stochastic Eulerian Lagrangian methods for fluid-structure interactions with thermal fluctuations, An accurate numerical solution for the transient heating of an evaporating spherical droplet, Convergence of numerical schemes for viscosity solutions to integro-differential degenerate parabolic problems arising in financial theory, Adaptive optimal \(m\)-stage Runge-Kutta methods for solving reaction-diffusion-chemotaxis systems, Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering, Parallel Dichotomy Algorithm for solving tridiagonal system of linear equations with multiple right-hand sides, Generalization of the FDTD algorithm for simulations of hydrodynamic nonlinear Drude model, An implicit midpoint difference scheme for the fractional Ginzburg-Landau equation, Modeling capsule tissue growth around disk-shaped implants: a numerical and in vivo study, A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme, A finite difference scheme for solving a nonlinear hyperbolic two-step model in a double-layered thin film exposed to ultrashort-pulsed lasers with nonlinear interfacial conditions, Recent advances in \(2+1\)-dimensional simulations of the pattern-forming Kuramoto-Sivashinsky equation, Solving advection equations by applying the Crank-Nicolson scheme combined with the Richardson extrapolation, Finite-difference methods with increased accuracy and correct initialization for one-dimensional Stefan problems, High order modified differential equation of the beam-warming method. II: The dissipative features, Stability analysis of hierarchical tensor methods for time-dependent PDEs, A staggered time integrator for the linear acoustic wave equation using the Jacobi-Anger expansion, Non-stationary localized oscillations of an infinite string, with time-varying tension, lying on the Winkler foundation with a point elastic inhomogeneity, Convergence analysis of the higher-order global mass-preserving numerical method for the symmetric regularized long-wave equation, Finite difference schemes for time-fractional Schrödinger equations via fractional linear multistep method, Dissipative acoustic solitons under a weakly-nonlinear, Lagrangian-averaged Euler-\(\alpha\) model of single-phase lossless fluids, Instability analysis of the split-step Fourier method on the background of a soliton of the nonlinear Schrödinger equation, High-order methods for decaying two-dimensional homogeneous isotropic turbulence, Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application, PFNN-2: A Domain Decomposed Penalty-Free Neural Network Method for Solving Partial Differential Equations, Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time, Age-structured Delayed SIPCV Epidemic Model of HPV and Cervical Cancer Cells Dynamics II. Convergence of Numerical Solution, A Fast and Stable Preconditioned Iterative Method for Optimal Control Problem of Wave Equations, Nonlinear Ultrasound Imaging Modeled by a Westervelt Equation, Absorbing boundary layer control for linear one-dimensional wave propagation problems, APIK: Active Physics-Informed Kriging Model with Partial Differential Equations, Finite volume approximations for size structured neuron model, A new compact alternating direction implicit method for solving two dimensional time fractional diffusion equation with Caputo-Fabrizio derivative, FOURTH-ORDER COMPACT SCHEME FOR OPTION PRICING UNDER THE MERTON’S AND KOU’S JUMP-DIFFUSION MODELS, Stable rotational symmetric schemes for nonlinear reaction-diffusion equations, High-Order Compact Schemes for Parabolic Problems with Mixed Derivatives in Multiple Space Dimensions, Super-convergence analysis on two symmetric Poisson solvers in octree grids, Stability analysis of finite difference schemes revisited: A study of decoupled solution strategies for coupled multifield problems, Partitioned formulation and stability analysis of a fluid interacting with a saturated porous medium by localised Lagrange multipliers, Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes, Wavelet neural operator for solving parametric partial differential equations in computational mechanics problems, A compact difference scheme for time-fractional Black-Scholes equation with time-dependent parameters under the CEV model: American options, Numerical stabilities study of a decomposed compact method for highly oscillatory Helmholtz equations, Stability analysis of the numerical method of characteristics applied to a class of energy-preserving hyperbolic systems. II: Nonreflecting boundary conditions, Optimality and resonances in a class of compact finite difference schemes of high order, Physics-informed neural networks for data-driven simulation: advantages, limitations, and opportunities, Bit-complexity of classical solutions of linear evolutionary systems of partial differential equations, EXPONENTIAL COMPACT HIGHER-ORDER SCHEMES AND THEIR STABILITY ANALYSIS FOR UNSTEADY CONVECTION-DIFFUSION EQUATIONS, A meshless finite difference scheme applied to the numerical solution of wave equation in highly irregular space regions, Numerical stability of explicit Runge-Kutta finite-difference schemes for the nonlinear Schrödinger equation, Approximation of optimal control problems for the Navier-Stokes equation via multilinear HJB-POD, Targeting Realistic Geometry in Tokamak Code Gysela, Sharp bounds of the inverse matrices resulted from five-point stencil in solving Poisson equations, An optimal investment strategy with maximal risk aversion and its ruin probability in the presence of stochastic volatility on investments, New explicit group iterative methods in the solution of two dimensional hyperbolic equations, Incorporating shear into stochastic Eulerian-Lagrangian methods for rheological studies of complex fluids and soft materials, Asymptotic stability of a dual-scale compact method for approximating highly oscillatory Helmholtz solutions, An efficient cubic trigonometric B-spline collocation scheme for the time-fractional telegraph equation, Numerical Analysis of Novel Finite Difference Methods, Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes, A conservative solver for surface-tension-driven multiphase flows on collocated unstructured grids, A two-step high-order compact scheme for the Laplacian operator and its implementation in an explicit method for integrating the nonlinear Schrödinger equation, Allee optimal control of a system in ecology, Solving Nonlinear Parabolic Equations by a Strongly Implicit Finite Difference Scheme, Carleman estimates and controllability results for fully discrete approximations of 1D parabolic equations, Fourier Analyses of High-Order Continuous and Discontinuous Galerkin Methods, A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation, Allee effects and population spread in patchy landscapes, Free Open Source Mesh Healing for TCAD Device Simulations, Wavelet-optimized compact finite difference method for convection-diffusion equations, A class of non-oscillatory direct-space-time schemes for hyperbolic conservation laws, An accuracy-preserving numerical scheme for parabolic partial differential equations subject to discontinuities in boundary conditions, Dynamic linepack depletion models for natural gas pipeline networks, Kink scattering in a generalized Wess-Zumino model, On the numerical solution of two-phase Stefan problems with heat-flux boundary conditions, Operator splitting methods for Maxwell's equations in dispersive media with orientational polarization, Optimized strong stability preserving IMEX Runge-Kutta methods, Nonuniform FDM for Poisson-Type Equations on a Disk with Singular Solutions, High-order unconditionally stable FC-AD solvers for general smooth domains. I: Basic elements, On the numerical solution of the heat conduction equations subject to nonlocal conditions, Single-cell compact finite-difference discretization of order two and four for multidimensional triharmonic problems, A fourth-order central Runge-Kutta scheme for hyperbolic conservation laws, Boundary controllability of the finite-difference space semi-discretizations of the beam equation, A finite element method for Maxwell polynomial chaos Debye model, Nonlinear Nonperturbative Optics Model Enriched by Evolution Equation for Polarization, Fully discrete stability and dispersion analysis for a linear dispersive internal wave model, Sensor deployment for pipeline leakage detection via optimal boundary control strategies, Parallelization of Advection-Diffusion-Chemistry Modules, Richardson Extrapolated Numerical Methods for Treatment of One-Dimensional Advection Equations, Verified reduction of a model for a continuous casting process, The spectral element method as an efficient tool for transient simulations of hydraulic systems, Advanced numerical methods for complex scientific and engineering problems: editorial introduction, An efficient difference scheme for the coupled nonlinear fractional Ginzburg–Landau equations with the fractional Laplacian, ICCM2016: Implementation of the Parareal Algorithm to Optimize Nanoparticle Transport in Porous Media Simulations, Efficient high-order finite difference methods for nonlinear Klein–Gordon equations. I: Variants of the phi-four model and the form-I of the nonlinear Klein–Gordon equation, Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions, On a control problem governed by a linear partial differential equation with a smooth functional, Invasive dynamics for a predator–prey system with Allee effect in both populations and a special emphasis on predator mortality, An explicit staggered-grid method for numerical simulation of large-scale natural gas pipeline networks, On the consistency analysis of finite difference approximations, Algebraic construction of a strongly consistent, permutationally symmetric and conservative difference scheme for 3D steady Stokes flow, Finite differences on staggered grids preserving the port-Hamiltonian structure with application to an acoustic duct, Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids, Consistent stable difference schemes for nonlinear Black-Scholes equations modelling option pricing with transaction costs, A new method based on polynomials equipped with a parameter to solve two parabolic inverse problems with a nonlocal boundary condition, A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary, Bit complexity of computing solutions for symmetric hyperbolic systems of PDEs with guaranteed precision, Discontinuous Galerkin Galerkin Differences for the Wave Equation in Second-Order Form, Geometry and dynamics of the Schur-Cohn stability algorithm for one variable polynomials, Simple digital quantum algorithm for symmetric first-order linear hyperbolic systems, A numerical convolution representation of potential for a disk surface density in 3D, Conditional Distributions and Waiting Times in Multitype Branching Processes, Diffusion and reaction in the cell glycocalyx and the extracellular matrix, Fully implicit ADI schemes for solving the nonlinear Poisson-Boltzmann equation, EFFECTS OF COATING PROPERTIES ON CONTROLLED DELIVERY FROM AN EMBEDDED DRUG-ELUTING STENT: A SIMULATION STUDY, Stability analysis and error estimate of flowfield-dependent variation (FDV) method for first order linear hyperbolic equations, A general transfer function representation for a class of hyperbolic distributed parameter systems, A matched alternating direction implicit (ADI) method for solving the heat equation with interfaces, Implicit fast sweeping method for hyperbolic systems of conservation laws, Oscillatory behavior of delay partial difference equations, A new algorithm for the LQR problem with partially unknown dynamics, Temporal splitting algorithms for non-stationary multiscale problems, The effect of landscape fragmentation on Turing-pattern formation, Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations, A general neural particle method for hydrodynamics modeling, Towards the virtual tumor for optimizing radiotherapy treatments of hypoxic tumors: a novel model of heterogeneous tissue vasculature and oxygenation, Continuous/discontinuous Galerkin difference discretizations of high-order differential operators, Numerical solution for stochastic extended Fisher-Kolmogorov equation, A collocation method based on cubic trigonometric B-splines for the numerical simulation of the time-fractional diffusion equation, Finite difference formulation of any lattice Boltzmann scheme, Turing instabilities and rotating spiral waves in glycolytic processes, Modeling quantum mechanical double slit interference via anomalous diffusion: independently variable slit widths, The Neumann numerical boundary condition for transport equations, Design and analysis of ADER-type schemes for model advection-diffusion-reaction equations, Computing positive stable numerical solutions of moving boundary problems for concrete carbonation, Solving the random Cauchy one-dimensional advection-diffusion equation: numerical analysis and computing, A model for the evolution of parasite-host interactions based on the Maculinea-Myrmica system: numerical simulations and multiple host behavior, Pseudo-transient ghost fluid methods for the Poisson-Boltzmann equation with a two-component regularization, Simulations of complex and microscopic models of cardiac electrophysiology powered by multi-GPU platforms, New analysis of the Du Fort-Frankel methods, A finite wavelet domain method for wave propagation analysis in thick laminated composite and sandwich plates, Solute dispersion in Casson fluid flow through a stenosed artery with absorptive wall, Iterative learning control for spatio-temporal dynamics using Crank-Nicholson discretization, Prediction of microperforated panel absorbers using the finite-difference time-domain method, High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in graphene nanotubes, A high-order perturbation of surfaces method for scattering of linear waves by periodic multiply layered gratings in two and three dimensions, A fourth-order kernel-free boundary integral method for implicitly defined surfaces in three space dimensions, Alternating direction ghost-fluid methods for solving the heat equation with interfaces, A new solution for optimal control of fractional convection-reaction-diffusion equation using rational barycentric interpolation, A local adaptive method for the numerical approximation in seismic wave modelling, Finite volume multilevel approximation of the shallow water equations, Separable anisotropic diffusion, A graph-theoretic-based method for analyzing conduction problems, Two-dimensional compact variational mode decomposition, An RBF-FD method for pricing American options under jump-diffusion models, A fast, robust, and simple Lagrangian-Eulerian solver for balance laws and applications, Non-linear CFL conditions issued from the von Neumann stability analysis for the transport equation, An essentially non-oscillatory Crank-Nicolson procedure for the simulation of convection-dominated flows, On constructive number fields and computability of solutions of PDEs, Wave propagation analysis in composite laminates containing a delamination using a three-dimensional spectral element method, A modified compact numerical algorithm to solve 2D Navier-Stokes equation, A fast, spectrally accurate homotopy based numerical method for solving nonlinear differential equations, Incomplete iterative implicit schemes, Discretization of quasilinear evolution equations by computer algebra methods, Efficient finite difference methods for the nonlinear Helmholtz equation in Kerr medium, Towards perfectly matched layers for time-dependent space fractional PDEs, Numerical method using cubic trigonometric B-spline technique for nonclassical diffusion problems, Bayesian pollution source identification via an inverse physics model, Von Neumann stability analysis of first-order accurate discretization schemes for one-dimensional (1D) and two-dimensional (2D) fluid flow equations, A spatially second order alternating direction implicit (ADI) method for solving three dimensional parabolic interface problems, A matched Peaceman-Rachford ADI method for solving parabolic interface problems, The inverse distance weighted interpolation applied to a particular form of the path tubes method: theory and computation for advection in incompressible flow, Computational performance of simple and efficient sequential and parallel Dirac equation solvers, Algebraic construction and numerical behavior of a new s-consistent difference scheme for the 2D Navier-Stokes equations, Convergence analysis in the maximum norm of the numerical gradient of the Shortley-Weller method, A hybrid method and unified analysis of generalized finite differences and Lagrange finite elements, A level-set topological optimization method to analyze two-dimensional thermal problem using BEM, Comparative analysis between prey-dependent and ratio-dependent predator-prey systems relating to patterning phenomenon, A stability analysis for a generalized finite-difference scheme applied to the pure advection equation, A study of the stability for a generalized finite-difference scheme applied to the advection-diffusion equation, A discrete Hardy's uncertainty principle and discrete evolutions, Galerkin differences for acoustic and elastic wave equations in two space dimensions, A variable-\(\theta\) method for parabolic problems of nonsmooth data, Numerically pricing convertible bonds under stochastic volatility or stochastic interest rate with an ADI-based predictor-corrector scheme, Avoiding the order reduction when solving second-order in time PDEs with fractional step Runge-Kutta-Nyström methods, A new efficient numerical method for solving American option under regime switching model, Optimal EPO dosing in hemodialysis patients using a non-linear model predictive control approach, The two-level finite difference schemes for the heat equation with nonlocal initial condition, A hybrid numerical method for the KdV equation by finite difference and sinc collocation method, Pricing European call options under a hard-to-borrow stock model, The oxygen diffusion problem: analysis and numerical solution, Nonlinear edge-preserving diffusion with adaptive source for document images binarization, A computational model for investigating tumor apoptosis induced by mesenchymal stem cell-derived secretome, A new multigrid method for unconstrained parabolic optimal control problems, Application of Richardson extrapolation for multi-dimensional advection equations, Numerical pricing based on fractional Black-Scholes equation with time-dependent parameters under the CEV model: double barrier options, A new high order accurate, finite difference method on quasi-variable meshes for the numerical solution of three dimensional Poisson equation, A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations, A dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifolds, An encoder-decoder deep surrogate for reverse time migration in seismic imaging under uncertainty, High-order perturbation of surfaces algorithms for the simulation of localized surface plasmon resonances in two dimensions, Effects of different discretisations of the Laplacian upon stochastic simulations of reaction-diffusion systems on both static and growing domains, On the generalized method of lines applied to Ginzburg-Landau type equations, Linearly stabilized schemes for the time integration of stiff nonlinear PDEs, A totally Eulerian finite volume solver for multi-material fluid flows. III: The low Mach number case, A comparison of six numerical methods for integrating a compartmental Hodgkin-Huxley type model, On the stability of direct time-domain boundary element methods for elastodynamics, Analytical and Rothe time-discretization method for a Boussinesq-type system over an uneven bottom, Bayesian numerical methods for nonlinear partial differential equations, Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method, Moving-habitat models: a numerical approach, Hermite-discontinuous Galerkin overset grid methods for the scalar wave equation, Compact finite difference method to numerically solving a stochastic fractional advection-diffusion equation, Finite difference methods with interpolation for first-order hyperbolic delay differential equations, Mathematical modelling of a pest in an age-structured crop model: the coffee Berry borer case, Jacobian-free explicit multiderivative Runge-Kutta methods for hyperbolic conservation laws, On the development of Adomian decomposition method for solving PDE systems with non-prescribed data, Bit-complexity of solving systems of linear evolutionary partial differential equations
