Faculty

Institution

Unit

Venue

Jeffrey B. Rauch

Tenured Tenure Track Professor Emeritus

University of Michigan

Affiliations

College of Literature, Science, and The Arts

Department of Mathematics

Jeffrey B. Rauch is currently serving as a College Of Literature, Science, And The Arts Tenured Tenure Track Professor Emeritus at University of Michigan.

Honors

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Experiences

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Education

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Jeffrey B. Rauch

University of Michigan

Tenured Tenure Track Professor Emeritus

You can click a keyword to filter the displayed items

applied mathematics mathematics numerical analysis partial differential equations differential equations nonlinear science dynamical systems applied physics mathematical physics nonlinear phenomena mathematical analysis hyperbolic equations nonlinear hyperbolic problem nonlinear analysis boundary value problems nonlinear wave propagation hyperbolic conservation laws pure mathematics physics spectral theory numerical simulations geometrical optics optical properties nonlinear dynamics wave propagation numerical method for partial differential equation wave motion numerical mathematics wave theory mathematical optimization oscillation theory theoretical analysis mathematical sciences global analysis wave scattering diffractive optics nonlinear oscillations numerical stability bifurcation theory automatic control control optimization dispersion science rational mechanic theoretical mathematics non-linear optics optical solitons geometric partial differential equation wave mechanics analytic number theory bounded domains hyperbolic mixed problems geometric optics short pulses cauchy problem quantum chemistry lightwave technology control science potential theory theoretical modeling perturbation methods stability analysis optimal transport source apportionment illumination modeling analytic application mixed problems qualitative theory semilinear hyperbolic equations nonlinear geometric optics precise finite speed hyperbolic internal waves small width spherical nonlinear pulses dissipative boundary conditions sharp sufficient conditions perturbed domains philosophy of mathematics algebraic geometry

Notable Scholarly Works

Notable Federal Grants

Collaborators

Homogenization of Locally Periodic Wave Systems for Long Times. (2024)

G R Égoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

oscillation theorynumerical analysisnumerical simulationscomplex systemsquantum mechanicsnonlinear sciencebifurcation theoryapplied physicsnonlinear dynamicsfourier expansionhomogenization (chemistry)applied mathematicswaveletsactive controlperiodic travelling wavenonlinear phenomenadynamical systemselectrical engineeringlong times

Two Examples of Effective Operators in the Long Time Homogenization of Wave Systems. (2024)

G R Égoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

long time homogenizationeffective operatorswave systems

Stability of Perfectly Matched Layers for Maxwell's Equations in Rectangular Solids. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Laurence HalpernJeffrey Rauch

numerical stabilitynumerical analysismechanical engineeringsolid mechanicsnumerical simulationsstabilityapplied physicsrectangular solids

A Discrete Algorithm for General Weakly Hyperbolic Systems. Journal of Pseudo-Differential Operators and Applications (2022)

Ferruccio ColombiniTatsuo NishitaniJeffrey Rauch

applied mathematics

Crime Pays; Homogenization for Long Times. Séminaire Laurent Schwartz — EDP et applications (2022)

Grégoire AllaireAgnes LamaczJeffrey Rauch

Boundedness of Planar Jump Discontinuities for Homogeneous Hyperbolic Systems. Journal of Hyperbolic Differential Equations (2021)

Jeffrey Rauch

nonlinear hyperbolic problemhomogeneous hyperbolic systemsdynamical systemsdiscontinuityhyperbolic equationsapplied mathematicsplanar jump discontinuitieshyperbolic conservation laws

Crime Pays; Homogenized Wave Equations for Long Times. Asymptotic Analysis (2021)

Grégoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

crime paysasymptotic analysis

BéRenger's Pml on Rectangular Domains for Pauli's Equations. HAL (Le Centre pour la Communication Scientifique Directe) (2020)

Laurence HalpernJeffrey Rauch

scientific communicationrectangular domainscommunication

Nobody's Perfect; Matched Layers for Heterogeneous Media. SIAM Journal on Scientific Computing (2019)

Laurence HalpernLudovic MétivierJeffrey RauchJuliette Ryan

scientific computingheterogeneous mediacomputational scienceapplied mathematics

Weakly Hyperbolic Systems by Symmetrization. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2019)

Ferruccio ColombiniTatsuo NishitaniJeffrey Rauch

symmetrymathematicsweakly hyperbolic systems

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Jeffrey B. Rauch

Tenured Tenure Track Professor Emeritus

University of Michigan

Affiliations

College of Literature, Science, and The Arts

Department of Mathematics

Jeffrey B. Rauch is currently serving as a College Of Literature, Science, And The Arts Tenured Tenure Track Professor Emeritus at University of Michigan.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

Jeffrey B. Rauch

University of Michigan

Tenured Tenure Track Professor Emeritus

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

Homogenization of Locally Periodic Wave Systems for Long Times. (2024)

G R Égoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

Two Examples of Effective Operators in the Long Time Homogenization of Wave Systems. (2024)

G R Égoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

long time homogenizationeffective operatorswave systems

Stability of Perfectly Matched Layers for Maxwell's Equations in Rectangular Solids. HAL (Le Centre pour la Communication Scientifique Directe) (2023)

Laurence HalpernJeffrey Rauch

numerical stabilitynumerical analysismechanical engineeringsolid mechanicsnumerical simulationsstabilityapplied physicsrectangular solids

A Discrete Algorithm for General Weakly Hyperbolic Systems. Journal of Pseudo-Differential Operators and Applications (2022)

Ferruccio ColombiniTatsuo NishitaniJeffrey Rauch

applied mathematics

Crime Pays; Homogenization for Long Times. Séminaire Laurent Schwartz — EDP et applications (2022)

Grégoire AllaireAgnes LamaczJeffrey Rauch

Boundedness of Planar Jump Discontinuities for Homogeneous Hyperbolic Systems. Journal of Hyperbolic Differential Equations (2021)

Jeffrey Rauch

nonlinear hyperbolic problemhomogeneous hyperbolic systemsdynamical systemsdiscontinuityhyperbolic equationsapplied mathematicsplanar jump discontinuitieshyperbolic conservation laws

Crime Pays; Homogenized Wave Equations for Long Times. Asymptotic Analysis (2021)

Grégoire AllaireAgnes Lamacz-KeymlingJeffrey Rauch

crime paysasymptotic analysis

BéRenger's Pml on Rectangular Domains for Pauli's Equations. HAL (Le Centre pour la Communication Scientifique Directe) (2020)

Laurence HalpernJeffrey Rauch

scientific communicationrectangular domainscommunication

Nobody's Perfect; Matched Layers for Heterogeneous Media. SIAM Journal on Scientific Computing (2019)

Laurence HalpernLudovic MétivierJeffrey RauchJuliette Ryan

scientific computingheterogeneous mediacomputational scienceapplied mathematics

Weakly Hyperbolic Systems by Symmetrization. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (2019)

Ferruccio ColombiniTatsuo NishitaniJeffrey Rauch

symmetrymathematicsweakly hyperbolic systems

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Institution

Oregon State University

diffusion process

pore structure

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Institution

University of California, Los Angeles

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calculus of variation

Hector O. Fattorini

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control optimization

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nonlinear hyperbolic problem

hyperbolic equation

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