Andreas Paul Eberhard Kloeckner

Associate Professor

UIUC

Affiliations

The Grainger College of Engineering

Siebel School of Computing and Data Science

Andreas Paul Eberhard Kloeckner is currently serving as a Siebel School Of Computing And Data Science Associate Professor at Uiuc.

Honors

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Experiences

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Education

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Andreas Paul Eberhard Kloeckner

UIUC

Associate Professor

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applied mathematics numerical analysis scientific computing computer engineering numerical mathematics partial differential equations numerical algorithms computer science parallel computing parallel programming boundary value problems numerical simulations high performance computer architecture numerical method for partial differential equation computational engineering numerical computation engineering gpu architecture computational mathematics approximation theory computational mechanics program analysis boundary element methods gpu computing finite element methods programming languages method of fundamental solution computational optimization computational fluid dynamics nonlinear analysis computer-aided design parallel programming models massively-parallel computing high performance computing compute kernel layer potentials gpu benchmarking hyperbolic conservation laws software analysis shock waves computer graphics mesh reduction validated numerics heterogeneous computing approximation methods program transformation shock compression perturbation methods local expansions fast algorithm fast algorithms viscous shock capturing statistical software algorithmic library computational infrastructure numerical stability geometric algorithms computational paradigm models of computation geometry processing vector processing vectorization large scale optimization large-scale global optimization multi-resolution method scipy 1.0 python programming language fundamental algorithms scripting-based approach graphics processors new method artificial viscosity shock capture mechanism open-source toolkit high-performance computing run-time code generation parallel problem solving integral equation methods

Notable Scholarly Works

Notable Federal Grants

Collaborators

Exact Domain Truncation for the Morse-Ingard Equations. Computers & Mathematics with Applications (2024)

Robert C. KirbyXiaoyu WeiAndreas Klöckner

partial differential equationsglobal analysismathematical sciencesboundary value problemsapplied mathematicsmathematicsexact domain truncation

Automatic Synthesis of Low-Complexity Translation Operators for the Fast Multipole Method. arXiv (Cornell University) (2023)

Fernando, IsuruKlöckner, Andreas

partial differential equationsfast multipole methodcomputational engineeringautomatic synthesiscomputational mathematicsnumerical computationscientific computingnumerical algorithmsnumerical mathematicscode generationapplied mathematicsmathematical physicsmathematicsnumerical analysisnumerical method for partial differential equation

Integral Equation Methods for the Morse-Ingard Equations. Journal of Computational Physics (2023)

Xiaoyu WeiAndreas KlöcknerRobert C. Kirby

partial differential equationsintegral equation methodsgeometric analysisnumerical mathematicsnumerical method for partial differential equationboundary value problemsapplied mathematicsintegrable systemsmathematicsnumerical analysisnonlinear analysisdifferential equationsmethod of fundamental solution

Finite Elements for Helmholtz Equations With a Nonlocal Boundary Condition. SIAM Journal on Scientific Computing (2021)

Robert C. KirbyAndreas KlöcknerBen Sepanski

multiscale modelingpartial differential equationsfinite element method in structural mechanicsboundary conditionsnonlocal boundary conditionnumerical mathematicsnumerical method for partial differential equationcomputational mechanicsboundary value problemsfinite element methodsapplied mathematicsboundary element methodsmathematicsnumerical analysisnonlinear analysisfinite elements

Scientific Computing With Python on High-Performance Heterogeneous Systems. Computing in Science & Engineering (2021)

Lorena A. BarbaAndreas KlocknerPrabhu RamachandranRollin Thomas

parallel computingcomputer sciencehigh-throughput computingcomputer architectureheterogeneous computinghigh-performance heterogeneous systemsscientific computingcomputer engineeringhigh performance computingmodern approachhigh performance computer architectureparallel programmingscientific progress

A Mechanism for Balancing Accuracy and Scope in Cross-Machine Black-Box GPU Performance Modeling. The International Journal of High Performance Computing Applications (2020)

James D StevensAndreas Klöckner

parallel computingcomputer sciencegpu architecturecomputer architecturegpu benchmarkingbenchmark kernelsgpu performancegpu kernelsscientific computingcomputer engineeringprogram analysishigh performance computer architectureparallel programmingmodeling and simulationgpu computingcompute kernel

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem. Journal of Computational Physics (2020)

Xiaoyu WeiShidong JiangAndreas KlöcknerXiao-Ping Wang

partial differential equationsintegral equation methodnonlinear hyperbolic problemfluid sciencecahn-hilliard equationboundary value problemswetting problemapplied mathematicsmathematicsfree boundary problemssemi-implicit methoddifferential equations

A Nonlocal Boundary Condition for Domain Truncation in Frequency-Domain Helmholtz Problems. The Journal of the Acoustical Society of America (2020)

Robert C. KirbyAndreas KloecknerBen Sepanski

partial differential equationsdomain truncationcomputational mathematicsnonlocal boundary conditionscientific computingnumerical algorithmsnumerical mathematicsboundary element methodsboundary value problemsfinite element methodsapplied mathematicsmathematicsnumerical analysisnumerical method for partial differential equationelement discretization

A Study of Vectorization for Matrix-Free Finite Element Methods. The International Journal of High Performance Computing Applications (2020)

Tianjiao SunLawrence MitchellKaushik KulkarniAndreas KlöcknerDavid A HamPaul HJ Kelly

parallel computingfinite element method in structural mechanicscode transformationscientific computingfinite element methodshigh performance computer architectureapplied mathematicsnumerical linear algebracomputer-aided designcomputer sciencecomputational engineeringnumerical computationvector processingcomputer engineeringnumerical algorithmsnumerical analysisvectorizationcomputer architecturenumerical mathematicsparallel programminglocal assembly kernellinear algebra

On the Approximation of Local Expansions of Laplace Potentials by the Fast Multipole Method. arXiv (Cornell University) (2020)

Matt WalaAndreas Klöckner

partial differential equationslayer potentialsapproximation theoryhigh-frequency approximationnumerical computationcomputer engineeringnumerical algorithmslocal expansionsnumerical mathematicsradial basis functionsapplied mathematicsnumerical analysislaplace potentials