Format: Hardback, 334 pages, height x width: 235x155 mm, 102 Illustrations,
color; 17 Illustrations, black and white; XII, 334 p. 119 illus., 102 illus. in color
Series: Springer Proceedings in Mathematics & Statistics 432
Pub. Date: 19-Oct-2023
ISBN-13: 9783031408632
This volume comprises the first part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023.
The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention.
This volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations.
The second volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.
Invited papers, R. Abgrall, A personal discussion on conservation, and
how to formulate it.- W. Boscheri, C. Birke and C. Klingenberg, A high order
semi-implicit scheme for ideal magnetohydrodynamics.- A. Artoni, P. F.
Antonietti, R. Corradi, I. Mazzieri, N. Parolini, D. Rocchi, P. Schito and
Francesco F. Semeraro, AeroSPEED: a high order acoustic solver for
aeroacoustic applications.- C. Cances, M. Herda and A. Massimini, Finite
volumes for a generalized Poisson-Nernst-Planck system with crossdiffusion
and size exclusion.- X. D. Sanchez and J. Ryan, Magic SIAC Toolbox: A
Codebase of Effective, Efficient, and Flexible Filters.- C. Helzel and E.
Chudzik, A Review of Cartesian Grid Active Flux Methods for Hyperbolic
Conservation Laws.- C. Rohde, Moving-Mesh Finite-Volume Methods for
Hyperbolic Interface Dynamics.- M. Peszynska, Mixed dimensional modeling with
overlapping continua on Cartesian grids for complex applications.-
Contributed papers: Pierre-Loic Bacq, Antoine Gerschenfeld and Michael
Ndjinga, PolyMAC: staggered finite volume methods on general meshes for
incompressible Navier-Stokes problems.- C. Bauzet, F. Nabet, K. Schmitz and
A. Zimmermann, Finite Volume Approximations for Non-Linear Parabolic Problems
with Stochastic Forcing.- F. Benkhaldoun and Abdallah Bradji, A new analysis
for a super-convergence result in the divergence norm for Lowest Order
Raviart-Thomas Mixed Finite Elements combined with the Crank-Nicolson method
applied to one dimensional parabolic equations.- Benkhaldoun, Fayssal,
Bradji, Abdallah, An L (H1)-error estimate for Gradient Schemes applied to
time fractional diffusion equations.- Jerome Bonelle and Thomas Fonty,
Compatible Discrete Operator schemes for solidification and segregation
phenomena.- M. Boutilier, K. Brenner and V. Dolean, Trefftz approximation
space for Poisson equation in perforated domains.- C. Cances, J. Cauvin-Vila,
C. Chainais-Hillairet and V. Ehrlacher, Structure Preserving Finite Volume
Approximation of Cross-Diffusion Systems Coupled by a Free Interface.- C.
Chainais-Hillairet and M. Alfaro, Finite volume scheme for the diffusive
field-road model: study of the long time behaviour.- C. Chainais-Hillairet,
R. Eymard and J. Fuhrmann, An approximate two-point Dirichlet flux for
quasilinear convection diffusion equations.- Z. Chehade and Y. Coudiere, The
Two-Point Finite Volume Scheme for the Microscopic Bidomain Model of
Electrocardiology.- E. Chenier, C. Le Potier, Erell Jamelot and Andrew
Peitavy, Improved Crouzeix-Raviart scheme for the Stokes problem.- S.
Clement, F. Lemarie and E. Blayo, Towards a finite volume discretization of
the atmospheric surface layer consistent with physical theory.- J. Droniou,
M. Laaziri and R. Masson, Thermodynamically Consistent discretisation of a
Thermo-HydroMechanical model.- E. Eggenweiler, J. Nickl and I. Rybak,
Justification of Generalized Interface Conditions for Stokes-Darcy Problems.-
J. Fuhrmann, B. Gaudeul and C. Keller, Two entropic finite volume schemes for
a Nernst-Planck-Poisson system with ion volume constraints.- M. Gander, J.
Hennicker, R. Masson and T. Vanzan, Dimensional reduction by Fourier analysis
of a Stokes-Darcy fracture model.- M. Heida, Finite Volumes for Simulation of
Large Molecules.- M. M. Knodel, Arne Nagel, Eva Herrmann and Gabriel Wittum,
PDE models of virus replication merging 2D manifold and 3D volume effects
evaluated at realistic reconstructed cell geometries.- S. Krell and J.
Moatti, Structure-preserving schemes for drift-diffusion systems on general
meshes: DDFV vs HFV.- S. Matera, D. Runge and C. Merdon, Reduced Basis
Approach for convection-diffusion equations with non-linear boundary reaction
conditions.- J. Moatti, A skeletal high-order structure preserving scheme for
advection-diffusion equations.- G. Narvaez, M. Ferrand, T. Fonty and S.
Benhamadouche, Automatic solid reconstructionfrom 3-D points set for flow
simulation via an immersed boundary method.- L. Ruan and I. Rybak,
Stokes-Brinkman-Darcy Models for Coupled Free-Flow and Porous-Medium
Systems.- P. Strohbeck, C. Riethmuller, D. Goeddeke and I. Rybak, Robust and
Efficient Preconditioners for Stokes-Darcy Problems.- C. Thomas, S. Mazen and
El-Houssaine Quenjel, A DDFV Scheme for Incompressible Two-Phase Flow
Degenerate Problem in Porous Media.- Author Index.
Format: Hardback, 252 pages, height x width: 235x155 mm, 84 Illustrations,
color; 8 Illustrations, black and white; XII, 252 p. 92 illus., 84 illus. in color
Series: Springer Proceedings in Mathematics & Statistics 433
Pub. Date: 26-Oct-2023
This volume comprises the second part of the proceedings of the 10th International Conference on Finite Volumes for Complex Applications, FVCA, held in Strasbourg, France, during October 30 to November 3, 2023.
The Finite Volume method, and several of its variants, is a spatial discretization technique for partial differential equations based on the fundamental physical principle of conservation. Recent decades have brought significant success in the theoretical understanding of the method. Many finite volume methods are also built to preserve some properties of the continuous equations, including maximum principles, dissipativity, monotone decay of the free energy, asymptotic stability, or stationary solutions. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications. In recent years, the efficient implementation of these methods in numerical software packages, more specifically to be used in supercomputers, has drawn some attention.
The first volume contains all invited papers, as well as the contributed papers focusing on finite volume schemes for elliptic and parabolic problems. They include structure-preserving schemes, convergence proofs, and error estimates for problems governed by elliptic and parabolic partial differential equations.
This volume is focused on finite volume methods for hyperbolic and related problems, such as methods compatible with the low Mach number limit or able to exactly preserve steady solutions, the development and analysis of high order methods, or the discretization of kinetic equations.
W. Aboussi, M. Ziggaf, I. Kissami and M. Boubekeur_A finite volume
scheme with a diffusion control parameter on unstructured hybrid mesh:
application to two-dimensional Euler equations.- L. Baroukh and E. Audusse,
Flow of Newtonian fluids in a pressurized pipe.- W. Barsukow, Truly
multi-dimensional all-speed methods for the Euler equations.- T. Bellotti,
Monotonicity for genuinely multi-step methods: results and issues from a
simple lattice Boltzmann scheme.- C. Birke and C. Klingenberg, A Low Mach
Number Two-speed Relaxation Scheme for Ideal MHD Equations.- G. Birke, C.
Engwer, S. May and F. Streitburger, Domain of Dependence stabilization for
the acoustic wave equation on 2D cut-cell meshes.- J. Bussac and K. Saleh,
Numerical simulation of a barotropic two-phase flow model with miscible
phases.- S. Chu and A. Kurganov, Local Characteristic Decomposition Based
Central-Upwind Scheme for Compressible Multifluids.- F. Dubois and J. Antonio
Rojas-Quintero, Simpson's quadrature for a nonlinear variational symplectic
scheme.- E. Chudzik, C. Helzel and Yanick-Florian Kiechle, An Active Flux
Method for the Vlasov-Poisson System.- M. Dumbser, S. Busto and A. Thomann,
On thermodynamically compatible finite volume schemes for overdetermined
hyperbolic systems.- M. Ferrand, Jean-Marc Herard, T. Norddine and S. Ruget,
A scheme using the wave structure of second-moment turbulent models for
incompressible flows.- T. Galie, S. Kokh, Ahmad El Halabi, K. Saleh and P.
Fernier, Study of a Numerical Scheme with Transport-Acoustic Operator
Splitting on a Staggered Mesh.- C. Fiorini, Uncertainty propagation of the
shock position for hyperbolic PDEs using a sensitivity equation method.- C.
Ghosn, T. Goudon and S. Minjeaud, Staggered MUSCL scheme for Euler equation.-
M. Girfoglio, A. Quaini and G. Rozza, GEA: a new finite volume-based open
source code for the numerical simulation of atmospheric and ocean flows.- P.
Helluy and R. Helie, Stable second order boundary conditions for kinetic
approximations.- A. Iollo, G. Puppo and A. Thomann, Two-dimensional linear
implicit relaxed scheme for hyperbolic conservation laws.- H. H. Holm and F.
Beiser, Reducing Numerical Artifacts by Sacrificing Well-Balance for Rotating
Shallow-Water Flow.- G. Jomee and Jean-Marc Herard, Relaxation process in an
immiscible three-phase flow model.- J. Jung, I. Lannabi and V. Perrier, On
the convergence of the Godunov scheme with a centered discretization of the
pressure gradient.- J. Keim, A. Schwarz, S. Chiocchetti, A. Beck and C.
Rohde, A Reinforcement Learning Based Slope Limiter for Two-Dimensional
Finite Volume Schemes.- S.-C. Klein, Essentially Non-Oscillatory Schemes
using the Entropy Rate Criterion.- T. Laidin and T. Rey, Hybrid Kinetic/Fluid
numerical method for the Vlasov-Poisson-BGK equation in the diffusive
scaling.- M. Mehrenberger, L. Navoret and Anh-Tuan Vu, Composition schemes
for the guiding-center model.- M. Ndjinga and K. Ait-Ameur, TVD analysis of a
(pseudo-)staggered scheme for the isentropic Euler equations.- F. Peru,
Backward reconstruction for non resonant triangular systems of conservation
laws.- Sri Redjeki Pudjaprasetya and P. V. Swastika, Two-layer exchange flow
with time-dependent barotropic forcing.- G. Schnucke, Split Form
Discontinuous Galerkin Methods for Conservation Laws.- L. Renelt, C. Engwer
and M. Ohlberger, An optimally stable approximation of reactive transport
using discrete test and infinite trial spaces.- A. Toufaili, S. Gavrilyuk, O.
Hurisse and Jean-Marc Herard, An hybrid solver to compute a turbulent
compressible model.
Format: Hardback, 190 pages, height x width: 235x155 mm, 21 Tables, color; 24 Illustrations, color;
14 Illustrations, black and white; X, 190 p. 38 illus., 24 illus. in color
Series: Springer Proceedings in Mathematics & Statistics 434
Pub. Date: 30-Oct-2023
ISBN-13: 9783031412288
This volume gathers selected, peer-reviewed works presented at the 7th International Conference on Optimization, Simulation and Control, ICOSC 2022, held at the National University of Mongolia, Ulaanbaatar, June 20-22, 2022. Topics covered include (but are not limited to) mathematical programming; network, global, linear, nonlinear, parametric, stochastic, and multi-objective optimization; control theory; biomathematics; and deep and machine learning, to name a few
Held every three years since 2002, the ICOSC conference has become a traditional gathering for experienced and young researchers in optimization and control to share recent findings in these fields and discuss novel applications in myriad sectors. Researchers and graduate students in the fields of mathematics, engineering, and computer science can greatly benefit from this book, which can also be enjoyed by advanced practitioners in research laboratories and the industry.
The 2022 edition of the ICOSC conference was sponsored by the Mongolian Academy of Sciences, the National University of Mongolia and the German-Mongolian Institute for Resources and Technology.
Covering Balls and HT -differential for Convex Maximizaton.- Employing
the Cloud for finding Solutions to Large Systems of Nonlinear Equations.- An
Approximation Scheme for a Bilevel Knapsack Problem.- Efficient heuristics
for a partial set covering problem with mutually exclusive pairs of
facilities.- A Hybrid Genetic Algorithm For The Budget-constrained Charging
Station Location Problem.- Optimal Advertising Expenditure.- Pre-clustered
Generative Adversarial Network Model for Mongolian Font Style Transfer.-
Designing information sharing platform using IoT and AI for Farming
Management System.- Monowave Boundary Construction Method for the Non-convex
Reachable Set of the Controlled Dynamical System.- Storage Reduction of
Forward-Backward Sweeping Method of Optimal Control of Active Queue
Management.- Extremal Controls Searching Methods Based on Fixed Point
Problems.- The Globalized Modification of Rosenbrock Algorithm for Finding
Anti-Nash Equilibrium in Bimatrix Game.- Optimal Choice of Parameters in
Higher-Order Derivative-Free Iterative Methods for Systems of Nonlinear
Equations.- Extending Nonstandard Finite Difference Scheme for SIR Epidemic
Model.
Format: Hardback, height x width: 235x155 mm, Approx. 200 p., 1 Hardback
Series: Springer Proceedings in Mathematics & Statistics 435
Pub. Date: 31-Oct-2023
ISBN-13: 9783031424120
This book hosts the results presented at the 6th Bayesian Young Statisticians Meeting 2022 in Montreal, Canada, held on June 22-23, titled "Bayesian Statistics, New Generations New Approaches". This collection features selected peer-reviewed contributions that showcase the vibrant and diverse research presented at meeting.
This book is intended for a broad audience interested in statistics and aims at providing stimulating contributions to theoretical, methodological, and computational aspects of Bayesian statistics. The contributions highlight various topics in Bayesian statistics, presenting promising methodological approaches to address critical challenges across diverse applications. This compilation stands as a testament to the talent and potential within the j-ISBA community.
This book is meant to serve as a catalyst for continued advancements in Bayesian methodology and its applications and encourages fruitful collaborations that push the boundaries of statistical research.
J. Owen, I. Vernon, J. Carter, Bayesian Emulation of Complex Computer Models with Structured Partial Discontinuities.- B. Hansen, A. Avalos-Pacheco, M. Russo, Roberta De Vito, A Variational Bayes Approach to Factor Analysis. P. Strong, Jim Q. Smith, Scalable Model Selection for Staged Trees: Mean-posterior Clustering and Binary Trees.- G. Vasdekis, Gareth O. Roberts, Speeding up the Zig-Zag process.- V. Ghidini, S. Legramanti, R. Argiento, Extended Stochastic Block Model with Spatial Covariates for Weighted Brain Networks.- A. Lachi, C. Viscardi, M. Baccini, Approximate Bayesian inference for smoking habit dynamics in Tuscany.
Format: Paperback / softback, 60 pages, height x width: 235x155 mm, 15 Illustrations, black and white; X, 60 p. 15 illus.,
Series: Lecture Notes in Mathematics 2337
Pub. Date: 20-Oct-2023
ISBN-13: 9783031408397
The topological fundamental group of a smooth complex algebraic variety is poorly understood. One way to approach it is to consider its complex linear representations modulo conjugation, that is, its complex local systems. A fundamental problem is then to single out the complex points of such moduli spaces which correspond to geometric systems, and more generally to identify geometric subloci of the moduli space of local systems with special arithmetic properties. Deep conjectures have been made in relation to these problems. This book studies some consequences of these conjectures, notably density, integrality and crystallinity properties of some special loci.
This monograph provides a unique compelling and concise overview of an active area of research and is useful to students looking to get into this area. It is of interest to a wide range of researchers and is a useful reference for newcomers and experts alike.
Lecture 1: General Introduction.- Lecture 2: Kronecker's Rationality Criteria and Grothendieck's p-Curvature Conjecture.- Lecture 3: Malcev-Grothendieck's Theorem, its Variants in Characteristic p > 0, Gieseker's Conjecture, de Jong's Conjecture, and the One to Come.- Lecture 4: Interlude on some Similarity between the Fundamental Groups in Characteristic 0 and p > 0.- Lecture 5: Interlude on some Difference between the Fundamental Groups in Characteristic 0 and p > 0.- Lecture 6: Density of Special Loci.- Lecture 7: Companions, Integrality of Cohomologically Rigid Local Systems and of the Betti moduli space.- Lecture 8: Rigid Local Systems and F-Isocrystals.- Lecture 9: Rigid Local Systems, Fontaine-Laffaille modules and Crystalline Local Systems.- Lecture 10: Comments and Questions.
Format: Paperback / softback, 172 pages, height x width: 235x155 mm, 6 Tables, color; 6 Illustrations, color; 1 Illustrations,
black and white; VIII, 172 p. 7 illus., 6 illus. in color.; 6 Tables, color; 6 Illustrations, color; 1 Illustrations, black and white; VIII, 172 p. 7 illus., 6 illus. in color.,
Series: Lecture Notes in Mathematics 2339
Pub. Date: 25-Oct-2023
ISBN-13: 9783031427596
This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms "up to uniformly bounded error". These structures are the group objects in the category of coarse spaces, and arise naturally as approximate subgroups, or as coarse kernels.The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible account of the theory. The second aim is to quickly bring the reader to the forefront of research. This is easily accomplished, as the subject is still young, and even basic questions remain unanswered.
Reflecting its dual purpose, the book is divided into two parts. The first part covers the fundamentals of coarse groups and their actions. Here the theory of coarse homomorphisms, quotients and subgroups is developed, with proofs of coarse versions of the isomorphism theorems, and it is shown how coarse actions are related to fundamental aspects of geometric group theory. The second part, which is less self-contained, is an invitation to further research, where each thread leads to open questions of varying depth and difficulty. Among other topics, it explores coarse group structures on set-groups, groups of coarse automorphisms and spaces of controlled maps. The main focus is on connections between the theory of coarse groups and classical subjects, including: number theory; the study of bi-invariant metrics on groups; quasimorphisms and stable commutator length; groups of outer automorphisms; and topological groups and their actions.
The book will primarily be of interest to researchers and graduate students in geometric group theory, topology, category theory and functional analysis, but some parts will also be accessible to advanced undergraduates.
Introduction.- Part I: Basic Theory.- Introduction to the Coarse Category.- Properties of the Category of Coarse Spaces.- Coarse Groups.- Coarse Homomorphisms, Subgroups and Quotients.- Coarse Actions.- Coarse Kernels.- Part II: Selected Topics.- Coarse Structures on Set-Groups.- Coarse Structures on Z.- On Bi-invariant Word Metrics.- A Quest for Coarse Groups that are not Coarsified Set-Groups.- On Coarse Homomorphisms and Coarse Automorphisms.- Spaces of Controlled Maps.
Format: Paperback / softback, 194 pages, height x width: 235x155 mm, 51 Tables, color;
51 Illustrations, color; 6 Illustrations, black and white; VI, 194 p. 57 illus., 51 illus. in color.
Series: Lecture Notes in Mathematics 2340
Pub. Date: 03-Nov-2023
ISBN-13: 9783031431913
This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup. It considers the "abelian" Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the "non-abelian" modules, described via theta functions. A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included. These results can be applied to prove a completeness result for Poincare series in spaces of square integrable automorphic forms. Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincare series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients. Only a background in Lie groups and their representations is assumed.
Introduction.- The Lie group SU(2,1) and subgroups.- Fourier term modules.- Submodule structure.- Application to automorphic forms.